Details

analyze359.0ms (2.8%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample2.0s (15.5%)

Results

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

Bogosity

preprocess16.0ms (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))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (.f32 314159265359/50000000000 u1)))

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

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

0.5b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(sin.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.1%)

Counts

4 → 32

Calls

15 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	265	68
2	3290	68

Stop Event

1×	node limit

Counts

4 → 134

Calls

Call 1

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

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

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1376×	`associate-*r/`
1060×	`associate-/r/`
1030×	`associate-*l/`
694×	`associate-r`
568×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	5754
1	913	5618
2	4650	5614

Stop Event

1×	node limit

Counts

166 → 248

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(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 (*.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (*.f32 314159265359/50000000000 u2) 1)
(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)
(pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)
(pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))
(cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))
(expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))
(log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) 1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sin.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 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (sin.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) (sin.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)))) (sin.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)))) (sin.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)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sin.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 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.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) (sin.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))) (sin.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.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))) (sin.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.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))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1)
(.f32 1 (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1)
(.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 u1))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 1 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (.f32 (sqrt.f32 -1) 1/2) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (/.f32 1/2 u1) (sqrt.f32 -1)) (sin.f32 (.f32 314159265359/50000000000 u2))))
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(*.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 u1)) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (cbrt.f32 (*.f32 u1 u1))) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(.f32 (/.f32 (sqrt.f32 (cbrt.f32 (.f32 u1 u1))) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 u1)))
(.f32 (sqrt.f32 (cbrt.f32 u1)) (/.f32 (sqrt.f32 (cbrt.f32 (.f32 u1 u1))) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (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)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 1 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (neg.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 -1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.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 (*.f32 (pow.f32 1 1/2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 u1)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1)))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(*.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (neg.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 -1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.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)))

eval91.0ms (0.7%)

Compiler: Compiled 4892 to 3732 computations (23.7% saved)

prune58.0ms (0.5%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	225	23	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	225	24	249

Error

0.0b

Counts

249 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.7b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.7b	(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	20.6b	(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) 1)
▶	0.7b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.6b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	6.0b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	3.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) 1/3))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
	3.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.3b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.0b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶	6.1b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶	2.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	3.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 760 to 615 computations (19.1% saved)

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series2.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`associate-*r/`
1186×	`associate-*l/`
858×	`associate-/r*`
666×	`associate-/l*`
390×	`associate-/r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	77
1	307	57
2	3810	57

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Inputs

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

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

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

Outputs
((#(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 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 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 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2)))))) (#(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 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))) (sin.f32 (.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.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)) (sin.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.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) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 1 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 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Outputs

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

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1234×	`distribute-lft-in`
1006×	`associate-*r/`
952×	`associate-/r/`
908×	`associate-/l/`
666×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3938
1	670	3826
2	3698	3824

Stop Event

1×	node limit

Counts

118 → 157

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (+.f32 (.f32 314159265359/50000000000 u2) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(sin.f32 (*.f32 -314159265359/50000000000 u2))
(-.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 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)
(pow.f32 (pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) 3) 1/3)
(sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))
(log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 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))) (sin.f32 (.f32 u2 314159265359/50000000000))))) 1)
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sin.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 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (sin.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) (sin.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) (sin.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)))) (sin.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)))) (sin.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)))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sin.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 (sin.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) (sin.f32 (.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.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) (sin.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))) (sin.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.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))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1)
(.f32 1 (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1)
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2)
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3)
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) 1/3)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 1))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)) (sin.f32 (.f32 u2 314159265359/50000000000))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (*.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 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)) (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 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 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000))) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (.f32 1/2 (sqrt.f32 -1)) (/.f32 u1 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 314159265359/50000000000)))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000))) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 3/8 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 3/8 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1)) (sqrt.f32 -1)) (/.f32 (.f32 1/2 (sqrt.f32 -1)) (/.f32 u1 (sin.f32 (.f32 u2 314159265359/50000000000))))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (sin.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (sin.f32 (.f32 u2 314159265359/50000000000)))) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 u2 314159265359/50000000000))) u1)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 3/8 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)) (fma.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sin.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1)) (sqrt.f32 -1)) (/.f32 (.f32 1/2 (sqrt.f32 -1)) (/.f32 u1 (sin.f32 (.f32 u2 314159265359/50000000000)))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 314159265359/50000000000 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
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(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sin.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 (sin.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 (sin.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) (sin.f32 (.f32 u2 314159265359/50000000000))) 1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.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))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sin.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 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (fabs.f32 (cbrt.f32 (-.f32 1 u1)))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 1)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.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 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(.f32 1 (sin.f32 (.f32 u2 314159265359/50000000000)))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2)))
(pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 3)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(pow.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) 1/3)
(sin.f32 (*.f32 u2 314159265359/50000000000))
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(fabs.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))
(log.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(log.f32 (+.f32 1 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(cbrt.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(expm1.f32 (log1p.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (log.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(exp.f32 (.f32 (log.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 1))
(sin.f32 (*.f32 u2 314159265359/50000000000))
(log1p.f32 (expm1.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(sin.f32 (*.f32 u2 314159265359/50000000000))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 26 computations (33.3% saved)

series6.0ms (0%)

Counts

3 → 28

Calls

15 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1536×	`associate-*r/`
1210×	`associate-*l/`
874×	`associate-/r*`
668×	`associate-/l*`
400×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	248	65
2	3114	65

Stop Event

1×	node limit

Counts

3 → 148

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u2 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 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)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) u2) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u2 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (*.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 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simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1268×	`associate-/r/`
870×	`distribute-lft-in`
828×	`distribute-rgt-in`
766×	`associate-/l*`
452×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	5972
1	1202	5758
2	4553	5640

Stop Event

1×	node limit

Counts

176 → 293

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
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(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))))

Outputs
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (+.f32 u2 (.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (.f32 u1 u1)))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 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 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 -314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 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))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 u2 (pow.f32 u1 3))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 -314159265359/100000000000 (+.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (*.f32 u1 u1)))))))
(fma.f32 -314159265359/100000000000 (/.f32 (fma.f32 u2 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (+.f32 u2 (.f32 u2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (/.f32 (.f32 314159265359/100000000000 (*.f32 (sqrt.f32 -1) u2)) u1))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 314159265359/100000000000 (*.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 314159265359/100000000000 u1) (*.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (*.f32 u1 u1) u2)))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (/.f32 (.f32 (.f32 942477796077/400000000000 u2) (sqrt.f32 -1)) (*.f32 u1 u1))))
(fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1))))
(+.f32 (.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))))))
(fma.f32 314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (.f32 942477796077/400000000000 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2))))))
(fma.f32 314159265359/160000000000 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (fma.f32 314159265359/100000000000 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (/.f32 (.f32 (.f32 942477796077/400000000000 u2) (sqrt.f32 -1)) (.f32 u1 u1)))))
(fma.f32 314159265359/160000000000 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) (fma.f32 314159265359/50000000000 (.f32 (sqrt.f32 -1) u2) (.f32 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 314159265359/100000000000 (/.f32 942477796077/400000000000 u1)))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 -1/2 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) -1/2))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) u2 (*.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) -1/2)))
(+.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (+.f32 u2 (.f32 u2 (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)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) (fma.f32 -1/2 (.f32 (/.f32 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) u2))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 u2 (.f32 u1 u1))) (fma.f32 (/.f32 (/.f32 u2 (sqrt.f32 -1)) u1) -1/2 (fma.f32 (sqrt.f32 -1) 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 u2 (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 u2 (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (+.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 u2 u1) (/.f32 (fma.f32 u2 (+.f32 -1/2 (*.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) u2) (pow.f32 u1 3))))))
(*.f32 (sqrt.f32 -1) u2)
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (*.f32 (sqrt.f32 -1) u2))
(fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2)))
(fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 (/.f32 u2 u1) (sqrt.f32 -1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (.f32 (sqrt.f32 -1) u2)))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (sqrt.f32 -1) u2 (.f32 (*.f32 (/.f32 u2 u1) (/.f32 (sqrt.f32 -1) u1)) 3/8)))
(+.f32 (.f32 (sqrt.f32 -1) u2) (.f32 (*.f32 (/.f32 u2 u1) (sqrt.f32 -1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 u2)) (fma.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3)) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) u2)) (*.f32 (sqrt.f32 -1) u2))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) u2) (fma.f32 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) u2) 5/16 (fma.f32 (sqrt.f32 -1) u2 (.f32 (.f32 (/.f32 u2 u1) (/.f32 (sqrt.f32 -1) u1)) 3/8))))
(+.f32 (fma.f32 (sqrt.f32 -1) u2 (.f32 1/2 (.f32 (/.f32 u2 u1) (sqrt.f32 -1)))) (.f32 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) u2) (+.f32 3/8 (/.f32 5/16 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) u1))
(+.f32 (pow.f32 u1 4) (fma.f32 u1 (fma.f32 u1 u1 u1) u1))
(*.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)))))
(+.f32 -1 (neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (*.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 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 u1))))
(-.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 (exp.f32 (log1p.f32 (/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 (*.f32 314159265359/50000000000 u2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 314159265359/50000000000 (.f32 (sqrt.f32 u1) u2)) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
(/.f32 (.f32 1 (.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (/.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (sqrt.f32 u1) (/.f32 u2 (/.f32 (sqrt.f32 (-.f32 1 u1)) 314159265359/50000000000)))
(.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 u1)))
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(.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (.f32 u1 u1)))) (+.f32 u1 1))
(/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(*.f32 (/.f32 (neg.f32 u1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (+.f32 1 (fma.f32 u1 u1 u1)))
(/.f32 (*.f32 u1 (+.f32 1 (fma.f32 u1 u1 u1))) (-.f32 1 (pow.f32 u1 3)))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(*.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (hypot.f32 1 (pow.f32 (neg.f32 u1) 3/2))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 u1 (.f32 (sqrt.f32 (-.f32 1 u1)) (hypot.f32 1 (pow.f32 (neg.f32 u1) 3/2)))) (sqrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))))
(.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (.f32 u1 u1)))) (neg.f32 (+.f32 u1 1)))
(/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(*.f32 (/.f32 (/.f32 u1 1) (neg.f32 (-.f32 1 (pow.f32 u1 3)))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (*.f32 u1 (+.f32 1 (fma.f32 u1 u1 u1))) (-.f32 1 (pow.f32 u1 3)))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (-.f32 1 (pow.f32 u1 3)))
(.f32 (/.f32 (/.f32 u1 1) (-.f32 1 (.f32 (neg.f32 u1) (neg.f32 u1)))) (+.f32 u1 1))
(/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))
(/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))
(.f32 (/.f32 (/.f32 u1 1) (+.f32 1 (pow.f32 (neg.f32 u1) 3))) (-.f32 (+.f32 1 (.f32 (neg.f32 u1) (neg.f32 u1))) (neg.f32 u1)))
(/.f32 (*.f32 u1 (+.f32 1 (fma.f32 u1 u1 u1))) (-.f32 1 (pow.f32 u1 3)))
(/.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (-.f32 1 (pow.f32 u1 3)))
(*.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 u1 (.f32 (cbrt.f32 (-.f32 1 (pow.f32 u1 3))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (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 (pow.f32 u1 3)))) (cbrt.f32 (+.f32 u1 (fma.f32 u1 u1 1))))
(.f32 (/.f32 (/.f32 u1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (cbrt.f32 (+.f32 u1 1)))
(.f32 (/.f32 u1 (.f32 (cbrt.f32 (-.f32 1 (*.f32 u1 u1))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (+.f32 u1 1)))
(.f32 (/.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 (.f32 u1 u1)))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (+.f32 u1 1)))
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(fabs.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)
(/.f32 u1 (-.f32 1 u1))
(pow.f32 (/.f32 (-.f32 1 u1) u1) -1)
(/.f32 u1 (-.f32 1 u1))
(neg.f32 (/.f32 u1 (+.f32 -1 u1)))
(/.f32 (neg.f32 u1) (+.f32 -1 u1))
(sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))
(fabs.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))
(/.f32 u1 (-.f32 1 u1))
(cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))
(/.f32 u1 (-.f32 1 u1))
(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))
(/.f32 u1 (-.f32 1 u1))
(log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 u1 (-.f32 1 u1))

localize49.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 40 computations (20% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1328×	`associate-*r/`
1068×	`associate-*l/`
766×	`associate-/r*`
452×	`associate-/l*`
402×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	56
1	307	52
2	3634	52

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

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

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

simplify146.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

920×	`distribute-frac-neg`
762×	`associate-/l*`
622×	`unswap-sqr`
604×	`associate-/l/`
486×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	430	8383
1	1100	7817
2	4445	7683

Stop Event

1×	node limit

Counts

165 → 271

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))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))
(+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))
(+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 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 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(*.f32 (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))
(*.f32 (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) -1)
(*.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))
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -3)))) (sqrt.f32 (+.f32 1 (-.f32 (pow.f32 u1 -2) (/.f32 -1 u1)))))
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 -1 (pow.f32 u1 -2)))) (sqrt.f32 (+.f32 1 (/.f32 1 u1))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)
(pow.f32 (sqrt.f32 (pow.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 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)) 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 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)))
(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 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 -1 (/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(/.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)))
(/.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))
(/.f32 (sqrt.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))))
(/.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 1 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1)) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 1 (.f32 -1 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 1 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 1 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 1 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 1 (neg.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 (cbrt.f32 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (sqrt.f32 -1)) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) -1) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 1) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 1) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) 1) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(/.f32 (.f32 (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) -1) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (.f32 -1 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) 1) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (neg.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 (sqrt.f32 -1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 1 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1)
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 1 1/2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (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 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 314159265359/50000000000 u2))) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1) (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1) (pow.f32 1 1/2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 1) (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 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) 1) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)
(sqrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))
(cbrt.f32 (.f32 (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2))))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.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 (/.f32 1/2 (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 (.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)))
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(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 -1 (/.f32 -1 u1))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 -1 (/.f32 -1 u1))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 -1 (/.f32 -1 u1))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (-.f32 -1 (/.f32 -1 u1))))

localize53.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.5b	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series4.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1528×	`associate-*r/`
1216×	`associate-*l/`
1052×	`associate-/r*`
846×	`associate-/l*`
288×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	291	52
2	3548	52

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

Inputs
(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))

Outputs

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

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1586×	`associate-/l*`
822×	`times-frac`
614×	`associate-/l/`
552×	`associate-l`
510×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	505	9099
1	1336	8953
2	7238	8953

Stop Event

1×	node limit

Counts

197 → 288

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 8) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1)
(-.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (*.f32 314159265359/50000000000 u2)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) 1)
(.f32 1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4)))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 4)) (pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2))
(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (-.f32 (cos.f32 (-.f32 (.f32 314159265359/50000000000 u2) (.f32 314159265359/50000000000 u2))) (cos.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 314159265359/50000000000 u2)))) 2)
(/.f32 (.f32 1 (-.f32 (cos.f32 (-.f32 (.f32 314159265359/50000000000 u2) (.f32 314159265359/50000000000 u2))) (cos.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2))))) 2)
(/.f32 (.f32 (-.f32 (cos.f32 (-.f32 (.f32 314159265359/50000000000 u2) (.f32 314159265359/50000000000 u2))) (cos.f32 (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)))) 1) 2)
(sqrt.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 4))
(log.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(cbrt.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) 3))
(expm1.f32 (log1p.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(exp.f32 (.f32 2 (log.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (.f32 2 (log.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))) 1)
(/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (/.f32 (-.f32 1 u1) u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (-.f32 1 u1) u1))
(/.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 1 (/.f32 (/.f32 (-.f32 1 u1) u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 1)
(/.f32 (sqrt.f32 u1) (/.f32 (/.f32 (-.f32 1 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (.f32 (sqrt.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))))
(/.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (/.f32 (-.f32 1 u1) u1) (.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 (/.f32 (-.f32 1 u1) u1) (cbrt.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 4))))
(/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (/.f32 (/.f32 (-.f32 1 u1) u1) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (cbrt.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 4)) (/.f32 (/.f32 (-.f32 1 u1) u1) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)))
(/.f32 (cbrt.f32 u1) (/.f32 (/.f32 (-.f32 1 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 (.f32 u1 u1))))
(/.f32 (cbrt.f32 (.f32 u1 u1)) (/.f32 (/.f32 (-.f32 1 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (cbrt.f32 u1)))
(/.f32 (cbrt.f32 (.f32 u1 u1)) (/.f32 (-.f32 1 u1) (.f32 (cbrt.f32 u1) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
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(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) 1) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1) (+.f32 -1 u1))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (sqrt.f32 (-.f32 1 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (+.f32 -1 u1)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) -1) (-.f32 1 u1))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) 3)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2) (.f32 -94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/12304687500000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 8)))))
(.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (.f32 u1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)))
(+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3) (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (+.f32 (*.f32 u1 u1) (pow.f32 u1 4)))))
(fma.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1 (.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 u1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))))))
(-.f32 (-.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (-.f32 (-.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 u1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))
(neg.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2))
(+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)))
(.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1)))
(-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (.f32 -1 (+.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) u1))))
(-.f32 (-.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 u1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (+.f32 (.f32 -1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))))
(fma.f32 -1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 u1 u1)) (fma.f32 -1 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 -1 (+.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))))))
(-.f32 (-.f32 (-.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3))) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 u1 u1)))
(-.f32 (-.f32 (-.f32 (/.f32 (neg.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (.f32 u1 u1)) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2)) (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1)) (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (pow.f32 u1 3)))
(.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1))
(.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 (/.f32 1 u1) -1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (+.f32 -1 (/.f32 1 u1))) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))) (.f32 98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 4) (/.f32 (-.f32 1 u1) u1)) (fma.f32 961389193575684075633145058384385882649239799132134631991269883031841/351562500000000000000000000000000000000000000000000000000000000000 (/.f32 (pow.f32 u2 6) (/.f32 (-.f32 1 u1) u1)) (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1))))
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(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (+.f32 -1 u1)))) (cbrt.f32 (+.f32 -1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) -1) (-.f32 1 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))))
(.f32 u1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (neg.f32 u1) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 1 u1)) 1) (-.f32 1 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))))
(.f32 u1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))))
(.f32 u1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.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 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (.f32 (*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 (-.f32 1 u1)) u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) 1) (cbrt.f32 (-.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) u1) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) 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 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2) u1)) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) u1) (*.f32 (cbrt.f32 (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(/.f32 (/.f32 (/.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) 1) (+.f32 -1 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (sqrt.f32 (-.f32 1 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))))
(.f32 u1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (+.f32 -1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (*.f32 (cbrt.f32 (+.f32 -1 u1)) (cbrt.f32 (+.f32 -1 u1)))) (cbrt.f32 (+.f32 -1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) -1) (-.f32 1 u1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 2) (/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))))
(.f32 u1 (/.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (neg.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (cbrt.f32 (-.f32 1 u1)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 1)
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(pow.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(pow.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 3)
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)))
(log.f32 (pow.f32 (exp.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 u1 (-.f32 1 u1))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (pow.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 3))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (.f32 (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) 3)))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(expm1.f32 (log1p.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 1))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))
(log1p.f32 (expm1.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))
(.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))

localize90.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series6.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
1.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
0.0ms	u1	@	0	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)

rewrite72.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1142×	`associate-*r/`
968×	`associate-*l/`
790×	`associate-/r*`
632×	`associate-/l*`
432×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	338	50
2	4010	50

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (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 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (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 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (*.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

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

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1116×	`times-frac`
1042×	`associate-/l*`
906×	`*-commutative`
822×	`associate-/r*`
578×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4453
1	760	4227
2	2461	4059

Stop Event

1×	node limit

Counts

105 → 170

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 -1/2 (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 -1 (+.f32 -1 u1))))
(*.f32 (sqrt.f32 u1) (pow.f32 (/.f32 -1 (+.f32 -1 u1)) 1/2))
(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8))
(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))
(*.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 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (cbrt.f32 (sqrt.f32 u1))))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (sqrt.f32 u1)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (sqrt.f32 u1))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 u1) 2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 u1) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 1 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.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)))) (sin.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)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (pow.f32 (/.f32 (sin.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 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (.f32 (sqrt.f32 u1) 5/16) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) 5/16) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (*.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(+.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 u1 u1) 3/8) (.f32 (pow.f32 u1 3) 5/16))))
(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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))))
(+.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 5/64 (.f32 u1 u1))))) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(fma.f32 -1 (/.f32 (.f32 (sqrt.f32 -1) -5/16) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(-.f32 (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (/.f32 (*.f32 (sqrt.f32 -1) -5/16) (pow.f32 u1 3)))
(+.f32 (/.f32 (.f32 5/16 (sqrt.f32 -1)) (pow.f32 u1 3)) (+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.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) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (sin.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 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
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(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (neg.f32 u1))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cbrt.f32 (neg.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 u1 -1))) (cbrt.f32 (neg.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 u1 -1))))
(/.f32 (*.f32 (pow.f32 1 1/2) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.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 (*.f32 (pow.f32 1 1/2) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (pow.f32 1 1/2) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1)))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) 1) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1)))
(/.f32 (*.f32 (cbrt.f32 u1) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (cbrt.f32 (neg.f32 u1))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 u1 -1))) (cbrt.f32 (neg.f32 u1)))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 u1 -1))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))))
(/.f32 (sqrt.f32 u1) (*.f32 (fabs.f32 (cbrt.f32 (-.f32 1 u1))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (/.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)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sin.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))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sin.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))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 u1 -1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (/.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (cbrt.f32 u1) (/.f32 (cbrt.f32 (-.f32 1 u1)) (.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (cbrt.f32 (neg.f32 u1)) (/.f32 (cbrt.f32 (+.f32 u1 -1)) (.f32 (sin.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)) (sin.f32 (*.f32 314159265359/50000000000 u2))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (/.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (+.f32 u1 -1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 2)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3) 1/3)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) 3))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 1))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))

eval1.1s (8.8%)

Compiler: Compiled 31419 to 24139 computations (23.2% saved)

prune578.0ms (4.5%)

Pruning

36 alts after pruning (32 fresh and 4 done)

	Pruned	Kept	Total
New	1485	29	1514
Fresh	15	3	18
Picked	0	1	1
Done	2	3	5
Total	1502	36	1538

Error

0.0b

Counts

1538 → 36

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
	6.1b	(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
▶	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.0b	(/.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)))
	0.7b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	20.6b	(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.7b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (pow.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) 1/4) -2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.1b	(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
▶	0.5b	(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	6.1b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
	6.0b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.6b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	6.0b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	6.1b	(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
	8.7b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
	6.1b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
	6.1b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))
▶	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	21.4b	(sqrt.f32 (/.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 u2 314159265359/25000000000))) (/.f32 2 (/.f32 u1 (-.f32 1 u1)))))
	5.9b	(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
▶	5.9b	(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
▶	4.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	2.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	21.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
	5.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
	5.9b	(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))

Compiler

Compiled 1102 to 877 computations (20.4% saved)

localize64.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 41 computations (37.9% saved)

series3.0ms (0%)

Counts

2 → 28

Calls

9 calls:

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

rewrite100.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1816×	`associate-/r*`
1224×	`associate-/l*`
682×	`associate-/r/`
372×	`associate-/l/`
328×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	66
1	336	50
2	4299	50

Stop Event

1×	node limit

Counts

2 → 112

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1534×	`unswap-sqr`
766×	`distribute-lft-in`
764×	`associate-/r/`
762×	`distribute-rgt-in`
606×	`distribute-frac-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	6738
1	959	6246
2	3778	6104

Stop Event

1×	node limit

Counts

140 → 228

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))))
(/.f32 1 (sqrt.f32 -1))
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (/.f32 1 (sqrt.f32 -1)))
(+.f32 (/.f32 1 (sqrt.f32 -1)) (+.f32 (.f32 3/8 (/.f32 1 (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1)))))
(+.f32 (/.f32 1 (sqrt.f32 -1)) (+.f32 (.f32 5/16 (/.f32 1 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 3/8 (/.f32 1 (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)
(*.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(*.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -1 (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(*.f32 (/.f32 -1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) -1)
(*.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 u1)))
(*.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))
(*.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 (.f32 u1 u1)))) (sqrt.f32 (+.f32 1 u1)))
(*.f32 (/.f32 1 (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(*.f32 (/.f32 1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (/.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(*.f32 (/.f32 -1 (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 u1))
(pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)
(pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)
(pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)
(pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))
(expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) -1))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))))) 1)
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 1)
(/.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)))
(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)))))
(/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))))
(/.f32 -1 (/.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))))
(/.f32 (sqrt.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))))
(/.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)) (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2))) (/.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 2))))
(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (pow.f32 (/.f32 1 u1) 1/2))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 1 1/2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) 1/2)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) -1) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (*.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (.f32 -1 (sin.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)))) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1) (pow.f32 1 1/2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 1) (pow.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) 1/2)) (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) 1) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 1) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) 1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) -1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000))) 3))
(cbrt.f32 (.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3)))
(cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 3) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 u2 314159265359/50000000000)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))))

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

localize29.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 8 computations (55.6% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

12 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1626×	`add-sqr-sqrt`
1604×	`*-un-lft-identity`
1490×	`add-cube-cbrt`
1472×	`add-cbrt-cube`
172×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	178	28
2	2054	28

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1116×	`associate-+r+`
1082×	`distribute-rgt-out`
1042×	`associate-+l+`
992×	`fma-def`
676×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	64	376
1	146	376
2	551	376
3	2436	372
4	6388	372

Stop Event

1×	node limit

Counts

26 → 33

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 26 computations (43.5% saved)

series7.0ms (0.1%)

Counts

4 → 80

Calls

21 calls:

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

rewrite141.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`associate-/r*`
1382×	`associate-/l*`
774×	`associate-/r/`
458×	`distribute-lft-in`
354×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	92
1	274	90
2	3604	90

Stop Event

1×	node limit

Counts

4 → 252

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 u1 98696044010906577398881/2500000000000000000000)) (-.f32 1 (.f32 u1 u1))) 1) (.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 u1 98696044010906577398881/2500000000000000000000)) (-.f32 1 (.f32 u1 u1))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 u1 98696044010906577398881/2500000000000000000000)) (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 (.f32 (.f32 u2 u2) (.f32 u1 98696044010906577398881/2500000000000000000000)) (-.f32 1 (.f32 u1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) 1) (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) (fma.f32 u1 u1 u1)) (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) (+.f32 1 (.f32 u1 u1))) (.f32 (/.f32 u2 (/.f32 (-.f32 1 (pow.f32 u1 3)) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))) u1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (.f32 u2 u2) (/.f32 (-.f32 1 u1) (.f32 u1 98696044010906577398881/2500000000000000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) (.f32 u1 98696044010906577398881/2500000000000000000000)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000))))))) (#(struct:change #<rule egg-rr> (2) 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simplify154.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1192×	`associate-/l/`
1002×	`associate-r`
968×	`associate-/r*`
824×	`*-commutative`
800×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	729	13614
1	2195	12846

Stop Event

1×	node limit

Counts

332 → 475

Calls

Call 1

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

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

localize84.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series2.0ms (0%)

Counts

4 → 52

Calls

15 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-/l*`
622×	`associate-/r/`
468×	`distribute-rgt-in`
436×	`associate-/l/`
428×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	273	68
2	3575	68

Stop Event

1×	node limit

Counts

4 → 157

Calls

Call 1

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

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

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1254×	`times-frac`
750×	`associate-r`
722×	`associate-/l*`
716×	`distribute-lft-neg-in`
600×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	449	6519
1	1090	6289
2	6153	6117

Stop Event

1×	node limit

Counts

209 → 267

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
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(*.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (neg.f32 (neg.f32 (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 (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (neg.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(.f32 (.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (neg.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))
(*.f32 (/.f32 1 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 -1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(*.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(*.f32 (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (neg.f32 (cbrt.f32 (sqrt.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 (neg.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (sqrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(.f32 (neg.f32 (.f32 (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (cbrt.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (neg.f32 (neg.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))
(*.f32 (neg.f32 (neg.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))) (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(/.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) 1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 (/.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (pow.f32 (/.f32 1 u1) 1/2)))
(/.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 1 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (/.f32 1 (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))
(/.f32 (sqrt.f32 (+.f32 u1 -1)) (sqrt.f32 (neg.f32 u1)))
(/.f32 (sqrt.f32 (+.f32 u1 -1)) (*.f32 1 (sqrt.f32 (neg.f32 u1))))
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 1 u1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (neg.f32 (sqrt.f32 u1)))
(/.f32 (pow.f32 1 1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(/.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) 1/2) (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2)))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3)
(neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1)))
(fma.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 u1 u1)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 1 u1) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1) 1/2))
(fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 u1 u1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) u1) 1/2)))
(fma.f32 3/8 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) u1) (fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
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(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(/.f32 1 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))
(/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(/.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (/.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) 1))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 (/.f32 1 u1))))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (pow.f32 (/.f32 1 u1) 1/2)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 (/.f32 1 u1)))
(/.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))
(/.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (/.f32 1 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (cbrt.f32 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) (cbrt.f32 (+.f32 -1 (/.f32 1 u1))))
(/.f32 (cbrt.f32 (-.f32 1 u1)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)) (/.f32 1 (sqrt.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 u1))
(/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (*.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))
(/.f32 (/.f32 (sqrt.f32 (-.f32 1 (pow.f32 u1 3))) (sqrt.f32 u1)) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1))))
(/.f32 (sqrt.f32 (+.f32 u1 -1)) (sqrt.f32 (neg.f32 u1)))
(/.f32 (sqrt.f32 (+.f32 u1 -1)) (*.f32 1 (sqrt.f32 (neg.f32 u1))))
(/.f32 (sqrt.f32 (+.f32 u1 -1)) (sqrt.f32 (neg.f32 u1)))
(/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(*.f32 (/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 u1)) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 (cbrt.f32 (-.f32 1 u1))) (/.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2))) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 1 u1))))
(/.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) (.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 u1 1))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 1 u1))) (neg.f32 (sqrt.f32 u1)))
(*.f32 (sqrt.f32 (-.f32 1 u1)) (/.f32 1 (sqrt.f32 u1)))
(/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1))
(/.f32 (pow.f32 1 1/2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))
(/.f32 1 (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))
(/.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 2) 1/2) (/.f32 1 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 1/2)))
(*.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1))) 2)) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(*.f32 (fabs.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (+.f32 -1 (/.f32 1 u1)))))
(pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(pow.f32 (cbrt.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3)
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) 3/2))
(neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2))
(cbrt.f32 (pow.f32 (+.f32 -1 (/.f32 1 u1)) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(exp.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))
(log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(sqrt.f32 (+.f32 -1 (/.f32 1 u1)))

localize80.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.2b	(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
✓	0.4b	(.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Compiler

Compiled 71 to 44 computations (38% saved)

series13.0ms (0.1%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
2.0ms	u1	@	-inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
2.0ms	u1	@	inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u2	@	inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u2	@	inf	(.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))

rewrite152.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`associate-*r/`
1424×	`associate-*l/`
1064×	`associate-/r*`
358×	`add-sqr-sqrt`
344×	`*-un-lft-identity`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	121
1	377	121
2	4513	121

Stop Event

1×	node limit

Counts

3 → 213

Calls

Call 1

Inputs

(*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))

(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))

(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))) (/.f32 (*.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (*.f32 (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 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(*.f32 u2 98696044010906577398881/2500000000000000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (/.f32 (-.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 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u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (-.f32 1 (*.f32 u1 u1))) (/.f32 1 (+.f32 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (*.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (-.f32 1 (pow.f32 u1 3))) (/.f32 1 (+.f32 1 (fma.f32 u1 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 u1 (fma.f32 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simplify281.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1204×	`associate-l`
1142×	`times-frac`
1072×	`associate-r`
760×	`associate-/r*`
736×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	18345
1	1785	17511

Stop Event

1×	node limit

Counts

269 → 386

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)))
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))))
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 4)))))
(.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)) (.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)) (+.f32 (.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)) (+.f32 (.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))))))
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(/.f32 (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cbrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) (cbrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (pow.f32 1 1/2) (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (cbrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))) (cbrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (sqrt.f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1/2)
(pow.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))) 1)
(pow.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) 3)
(pow.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))
(log.f32 (exp.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(exp.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) 1))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))

Outputs
(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
(.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)))
(.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 u1 (.f32 u1 u1)))
(.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))))
(fma.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 (.f32 u1 u1) (pow.f32 u1 3))))
(.f32 u1 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 1 (fma.f32 u1 u1 u1))))
(+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 4)))))
(+.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 u1 (.f32 u1 u1))) (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) (+.f32 (fma.f32 u1 u1 u1) (+.f32 (pow.f32 u1 3) (pow.f32 u1 4))))
(.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(neg.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
(+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000) (.f32 (*.f32 u2 u2) -98696044010906577398881/2500000000000000000000))
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(.f32 -1 (+.f32 (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(-.f32 (+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000) (.f32 (.f32 u2 u2) -98696044010906577398881/2500000000000000000000)) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))
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(fma.f32 -1 (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1) (fma.f32 -1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (/.f32 (neg.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) (*.f32 u1 u1))))
(-.f32 (-.f32 (+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000) (.f32 (.f32 u2 u2) -98696044010906577398881/2500000000000000000000)) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (.f32 u1 u1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)) (+.f32 (.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))))))
(fma.f32 -1 (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (pow.f32 u1 3)) (fma.f32 -1 (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1) (fma.f32 -1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (/.f32 (neg.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) (*.f32 u1 u1)))))
(-.f32 (-.f32 (-.f32 (+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000) (.f32 (.f32 u2 u2) -98696044010906577398881/2500000000000000000000)) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (.f32 u1 u1))) (/.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) (pow.f32 u1 3)))
(.f32 -1 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(neg.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))
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(pow.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 1/4) 2)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))) 3)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(pow.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 3/2) 1/3)
(cbrt.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 3/2))
(fabs.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))
(log.f32 (exp.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(cbrt.f32 (pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(exp.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))) 1/2))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))))) 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))

eval1.2s (9.2%)

Compiler: Compiled 32772 to 24225 computations (26.1% saved)

prune607.0ms (4.7%)

Pruning

46 alts after pruning (40 fresh and 6 done)

	Pruned	Kept	Total
New	1431	24	1455
Fresh	11	16	27
Picked	1	0	1
Done	2	6	8
Total	1445	46	1491

Error

0.0b

Counts

1491 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
	6.1b	(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
▶	0.5b	(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.0b	(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)))
	0.7b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
	20.6b	(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.7b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (pow.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) 1/4) -2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.1b	(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
	6.1b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
	6.0b	(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	30.4b	(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	7.6b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
▶	30.4b	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
	6.0b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
▶	32.0b	(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
	6.1b	(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
✓	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
	30.4b	(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	5.9b	(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
	21.4b	(sqrt.f32 (/.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 u2 314159265359/25000000000))) (/.f32 2 (/.f32 u1 (-.f32 1 u1)))))
	5.9b	(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
	5.9b	(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
	4.4b	(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
✓	2.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	21.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
	4.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
▶	10.6b	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
	8.6b	(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
	11.4b	(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
	11.4b	(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
	5.9b	(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
	11.4b	(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))

Compiler

Compiled 1313 to 1051 computations (20% saved)

localize94.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

series1.0ms (0%)

Counts

1 → 20

Calls

6 calls:

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

rewrite79.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1492×	`associate-/l*`
622×	`associate-/r/`
534×	`distribute-rgt-in`
480×	`distribute-lft-in`
434×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	315	33
2	4095	33

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

Outputs

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

simplify115.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1574×	`times-frac`
1404×	`associate-/l*`
1014×	`associate-*r/`
740×	`associate-/r*`
720×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	3477
1	583	3319
2	1805	3167
3	7988	3167

Stop Event

1×	node limit

Counts

71 → 130

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.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)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))) 1)
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2))
(.f32 1 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) 1)
(.f32 (sqrt.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) (sqrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2)))
(.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))))
(.f32 (cbrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2)))
(.f32 (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2) (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (neg.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (/.f32 1 (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 1/4)) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 1/4)))
(.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) (neg.f32 (sin.f32 (.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 1) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (+.f32 (pow.f32 u1 -1) -1))) (/.f32 (sqrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (cbrt.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) 1) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 1/4)) (/.f32 (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 1/4)))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) (cbrt.f32 (+.f32 (pow.f32 u1 -1) -1))) (cbrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(.f32 (/.f32 1 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2))) (cbrt.f32 (sin.f32 (*.f32 u2 314159265359/50000000000))))
(.f32 (/.f32 (neg.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 u1))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) 1) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) (sqrt.f32 (+.f32 -1 u1))) (sqrt.f32 (neg.f32 u1)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 1) (neg.f32 (sqrt.f32 (-.f32 1 u1)))) (neg.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 1/4)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 u1)))
(.f32 (/.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (+.f32 (pow.f32 u1 -1) -1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1)))
(pow.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) 1)
(pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) 2)
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) 3)
(pow.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) 3) 1/3)
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(neg.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) 3))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 3/2)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) 1))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 314159265359/50000000000 u2))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (fma.f32 314159265359/50000000000 u2 (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 5)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 314159265359/50000000000 u2 (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 (.f32 u1 (sqrt.f32 -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 -1/2 (/.f32 (.f32 (sin.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)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.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)))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 (.f32 u1 (sqrt.f32 -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (fma.f32 -1/2 (.f32 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (/.f32 (pow.f32 u1 3) (sin.f32 (*.f32 314159265359/50000000000 u2))))))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2))
(fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(.f32 (+.f32 1 (/.f32 1/2 u1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 (sqrt.f32 -1))) 1/2)))
(fma.f32 3/8 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) u1) (fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 (.f32 u1 u1)) (/.f32 1/2 u1))))
(+.f32 (.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(fma.f32 3/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))
(+.f32 (fma.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) 1/2 (.f32 5/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (fma.f32 3/8 (/.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) u1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(+.f32 (.f32 (+.f32 (/.f32 1/2 u1) 1) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 5/16 (pow.f32 u1 3)) (/.f32 3/8 (*.f32 u1 u1)))))
(+.f32 (.f32 (+.f32 1 (/.f32 1/2 u1)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 3/8 (*.f32 u1 u1)) (/.f32 5/16 (pow.f32 u1 3)))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))) 1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) -1/2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 -1 (pow.f32 u1 -1)) -1/2))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 -1 (/.f32 1 u1)) -1/2))
(.f32 1 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))
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(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))) -1)
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(neg.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) 2) (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (exp.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1))) 3))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) 3) (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 3/2)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 -1 (pow.f32 u1 -1)) 3/2)))
(cbrt.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 -1 (/.f32 1 u1)) 3/2)))
(expm1.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))) 1))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))
(log1p.f32 (expm1.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (pow.f32 u1 -1))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 (/.f32 1 u1))))

localize15.0ms (0.1%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

localize71.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series7.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	u1	@	-inf	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
0.0ms	u1	@	0	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)
0.0ms	u1	@	0	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
0.0ms	u1	@	inf	(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
0.0ms	u1	@	inf	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1486×	`associate-*r/`
1186×	`associate-*l/`
874×	`associate-/r*`
668×	`associate-/l*`
400×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	248	52
2	3120	52

Stop Event

1×	node limit

Counts

2 → 71

Calls

Call 1

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

Outputs

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

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

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1338×	`associate-/l*`
1190×	`times-frac`
1008×	`associate-/r*`
858×	`*-commutative`
732×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	3637
1	643	3617
2	2256	3513
3	7953	3513

Stop Event

1×	node limit

Counts

99 → 162

Calls

Call 1

Inputs
(*.f32 -314159265359/50000000000 (sqrt.f32 -1))
(+.f32 (.f32 314159265359/100000000000 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 314159265359/100000000000 (/.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 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))))
(*.f32 -314159265359/50000000000 (sqrt.f32 -1))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (.f32 -314159265359/50000000000 (sqrt.f32 -1)))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 -314159265359/50000000000 (sqrt.f32 -1))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 -314159265359/160000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -314159265359/50000000000 (*.f32 (sqrt.f32 -1) u2))))
(+.f32 (.f32 314159265359/100000000000 (/.f32 u2 (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 314159265359/100000000000 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u2) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)) (.f32 314159265359/100000000000 (/.f32 (.f32 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 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)))
(+.f32 (.f32 -942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2))))
(+.f32 (.f32 -942477796077/400000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 2))) (+.f32 (.f32 -314159265359/100000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) u1)) (+.f32 (.f32 -314159265359/160000000000 (/.f32 (.f32 (sqrt.f32 -1) u2) (pow.f32 u1 3))) (.f32 -314159265359/50000000000 (.f32 (sqrt.f32 -1) u2)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))) 1)
(/.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) -314159265359/50000000000))
(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 -314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 1 (.f32 (sqrt.f32 u1) -314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 -314159265359/50000000000 (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 -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 -314159265359/50000000000 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 (sqrt.f32 (neg.f32 u1)) -314159265359/50000000000) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (*.f32 (neg.f32 (sqrt.f32 u1)) -314159265359/50000000000) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 -314159265359/50000000000 (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) -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) -314159265359/50000000000)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -314159265359/50000000000)) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (cbrt.f32 u1) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -314159265359/50000000000)) (cbrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (cbrt.f32 (neg.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) -314159265359/50000000000)) (cbrt.f32 (+.f32 -1 u1)))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 1)
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 2)
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 3)
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3) 1/3)
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 98696044010906577398881/2500000000000000000000))
(log.f32 (pow.f32 (exp.f32 -314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 1))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)))) 1)
(/.f32 (.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 u2 (.f32 -314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (.f32 1 (.f32 -314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (.f32 -314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 -314159265359/50000000000 (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) -314159265359/50000000000) u2) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) -314159265359/50000000000) (sqrt.f32 (-.f32 1 u1)))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 3) 1/3)
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 98696044010906577398881/2500000000000000000000)))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 3))
(cbrt.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3) (pow.f32 u2 3)))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -314159265359/50000000000 u2))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))

Outputs
(*.f32 -314159265359/50000000000 (sqrt.f32 -1))
(+.f32 (.f32 314159265359/100000000000 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (*.f32 -314159265359/50000000000 (sqrt.f32 -1)))
(fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 (/.f32 314159265359/100000000000 u1) (sqrt.f32 -1)))
(+.f32 (.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (/.f32 1 (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 (/.f32 314159265359/100000000000 u1) (sqrt.f32 -1))))
(+.f32 (/.f32 (fma.f32 314159265359/100000000000 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 314159265359/100000000000) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 314159265359/100000000000 (/.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 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 314159265359/100000000000 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))))
(fma.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 314159265359/100000000000 (/.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 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 314159265359/100000000000 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 314159265359/100000000000 (/.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 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 (/.f32 314159265359/100000000000 u1) (sqrt.f32 -1)))))
(+.f32 (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (.f32 (sqrt.f32 -1) u1))) (.f32 (/.f32 314159265359/100000000000 (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 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)))))
(+.f32 (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 314159265359/100000000000 (.f32 (sqrt.f32 -1) u1))) (.f32 (/.f32 314159265359/100000000000 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (.f32 -1/2 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)))))
(*.f32 -314159265359/50000000000 (sqrt.f32 -1))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (.f32 -314159265359/50000000000 (sqrt.f32 -1)))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (*.f32 -314159265359/50000000000 (sqrt.f32 -1)))
(fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (*.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (*.f32 (/.f32 -314159265359/100000000000 u1) (sqrt.f32 -1)))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 -314159265359/50000000000 (sqrt.f32 -1))))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (.f32 -314159265359/50000000000 (sqrt.f32 -1))))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (/.f32 (.f32 (sqrt.f32 -1) -942477796077/400000000000) (.f32 u1 u1))))
(fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 -314159265359/100000000000 (/.f32 -942477796077/400000000000 u1))))
(+.f32 (.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 -314159265359/50000000000 (sqrt.f32 -1)) (.f32 -314159265359/160000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -942477796077/400000000000 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (.f32 -314159265359/160000000000 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (/.f32 -314159265359/160000000000 u1) -942477796077/400000000000))))
(fma.f32 -314159265359/100000000000 (/.f32 (sqrt.f32 -1) u1) (fma.f32 -314159265359/50000000000 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 -942477796077/400000000000 (/.f32 -314159265359/160000000000 u1)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
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(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) -50000000000/314159265359))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 -314159265359/50000000000 (sqrt.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 -314159265359/50000000000 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (-.f32 1 u1)) -50000000000/314159265359)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) -50000000000/314159265359))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) 1) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) -50000000000/314159265359))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (cbrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 -314159265359/50000000000 (sqrt.f32 u1)) (.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (sqrt.f32 (-.f32 1 u1)))) (/.f32 -314159265359/50000000000 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (sqrt.f32 u1) (*.f32 (cbrt.f32 (-.f32 1 u1)) -50000000000/314159265359)) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (sqrt.f32 (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 (-.f32 1 u1)) -50000000000/314159265359))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 (sqrt.f32 u1) -314159265359/50000000000) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(/.f32 (/.f32 (*.f32 -314159265359/50000000000 (sqrt.f32 u1)) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (sqrt.f32 (cbrt.f32 (-.f32 1 u1))))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (cbrt.f32 (pow.f32 (-.f32 1 u1) 2)))) (/.f32 (sqrt.f32 u1) (sqrt.f32 (cbrt.f32 (-.f32 1 u1)))))
(pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 1)
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 2)
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 3)
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3) 1/3)
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1)))
(log.f32 (pow.f32 (exp.f32 -314159265359/50000000000) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)) 1))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(*.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)))) 1)
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(/.f32 (.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 u2 (.f32 -314159265359/50000000000 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) 1) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) u2)
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) 1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (sqrt.f32 (neg.f32 u1))) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (*.f32 -314159265359/50000000000 u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) (.f32 -314159265359/50000000000 u2))
(.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (+.f32 -1 u1))))
(/.f32 (.f32 (.f32 u2 -314159265359/50000000000) (neg.f32 (sqrt.f32 u1))) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 1 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(*.f32 (/.f32 -314159265359/50000000000 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) u2)
(/.f32 (.f32 1 (.f32 -314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 (neg.f32 u1)) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (+.f32 -1 u1)))
(/.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (sqrt.f32 (+.f32 -1 u1)) (*.f32 -314159265359/50000000000 u2)))
(.f32 (/.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (+.f32 -1 u1))) (.f32 -314159265359/50000000000 u2))
(.f32 (sqrt.f32 (neg.f32 u1)) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (+.f32 -1 u1))))
(/.f32 (.f32 (neg.f32 (sqrt.f32 u1)) (.f32 -314159265359/50000000000 u2)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 -314159265359/50000000000 (sqrt.f32 u1)) u2) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 (sqrt.f32 u1) -314159265359/50000000000) u2) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(/.f32 (.f32 (.f32 u2 (sqrt.f32 u1)) -314159265359/50000000000) (sqrt.f32 (-.f32 1 u1)))
(/.f32 (.f32 (sqrt.f32 u1) (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (-.f32 1 u1)))
(*.f32 (sqrt.f32 u1) (/.f32 -314159265359/50000000000 (/.f32 (sqrt.f32 (-.f32 1 u1)) u2)))
(.f32 (sqrt.f32 u1) (/.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 1)
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))) 2)
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))) 3)
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 3) 1/3)
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 (/.f32 u1 (-.f32 1 u1)) 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))
(sqrt.f32 (.f32 u2 (/.f32 (.f32 u2 (*.f32 u1 98696044010906577398881/2500000000000000000000)) (-.f32 1 u1))))
(log.f32 (pow.f32 (exp.f32 u2) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000)))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2)) 3))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(cbrt.f32 (.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3) (pow.f32 u2 3)))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(cbrt.f32 (.f32 (pow.f32 u2 3) (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000) 3)))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (*.f32 -314159265359/50000000000 u2))) 1))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -314159265359/50000000000 u2))

localize27.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 22 to 14 computations (36.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

6 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1776×	`add-sqr-sqrt`
1754×	`*-un-lft-identity`
1626×	`add-cube-cbrt`
1606×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	195	21
2	2232	21

Stop Event

1×	node limit

Counts

1 → 13

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))

Outputs

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

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1558×	`fma-def`
974×	`*-commutative`
970×	`distribute-lft-in`
916×	`distribute-rgt-in`
758×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	659
1	154	639
2	467	607
3	2526	597
4	6725	597

Stop Event

1×	node limit

Counts

25 → 36

Calls

Call 1

Inputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))) 1)
(pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 1)
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 (sqrt.f32 u1) (.f32 314159265359/50000000000 u2))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 3))))
(.f32 (sqrt.f32 u1) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 u1) (.f32 u2 (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 5)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 u1) (+.f32 (.f32 314159265359/50000000000 u2) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(.f32 (sqrt.f32 u1) (fma.f32 314159265359/50000000000 u2 (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1))) (+.f32 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 u1))) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 u1))))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)) (fma.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 3)) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 5)) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 7))))))
(+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))) (.f32 (sqrt.f32 u1) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 u1) (+.f32 (fma.f32 314159265359/50000000000 u2 (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 u1) (fma.f32 u2 (fma.f32 (.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))) 1)
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 1)
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 u1 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(sqrt.f32 (.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2) u1))
(fabs.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(cbrt.f32 (pow.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))) 1))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(log1p.f32 (expm1.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))

localize134.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
✓	0.3b	(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
✓	0.4b	(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
✓	0.4b	(*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))

Compiler

Compiled 63 to 49 computations (22.2% saved)

series11.0ms (0.1%)

Counts

4 → 24

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
2.0ms	u2	@	0	(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
1.0ms	u1	@	0	(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
1.0ms	u2	@	inf	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
1.0ms	u1	@	-inf	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))

rewrite150.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`swap-sqr`
680×	`distribute-rgt-in`
632×	`distribute-lft-in`
618×	`associate-*r/`
562×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	96
1	338	96
2	3937	96

Stop Event

1×	node limit

Counts

4 → 125

Calls

Call 1

Inputs
(*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))

Outputs
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simplify181.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1396×	`distribute-rgt-in`
1390×	`distribute-lft-in`
1372×	`associate-/l*`
1102×	`associate-/r*`
598×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	7999
1	879	7511
2	3332	7487

Stop Event

1×	node limit

Counts

149 → 215

Calls

Call 1

Inputs
(.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
(.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
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(pow.f32 (cbrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) 3)
(pow.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 2) 1/2)
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(log.f32 (pow.f32 (exp.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))) u1))
(log.f32 (+.f32 1 (expm1.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 3))
(cbrt.f32 (.f32 (pow.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3) (pow.f32 u1 3)))
(cbrt.f32 (.f32 (pow.f32 u1 3) (pow.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3)))
(expm1.f32 (log1p.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))
(exp.f32 (log.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))
(log1p.f32 (expm1.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))
(-.f32 (exp.f32 (log1p.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))) 1)
(.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) 1)
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(.f32 (hypot.f32 (.f32 u2 314159265359/50000000000) (.f32 (.f32 u2 u2) (sqrt.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000))) (sqrt.f32 u1))
(.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 1/4) (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 1/4))
(.f32 (sqrt.f32 u1) (hypot.f32 (.f32 u2 314159265359/50000000000) (.f32 (.f32 u2 u2) (sqrt.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000))))
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(/.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (+.f32 (.f32 (pow.f32 (pow.f32 u2 4) 3) -924269181524104147123212738401793934996035732650789762944436087907973858496884741334400277009379691937684245294184924577301737690219849281/6591796875000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))) (sqrt.f32 (+.f32 (.f32 (pow.f32 u2 8) 94885310160755698508969199161917078090991542041945444570644759847389875187381489531880769921/351562500000000000000000000000000000000000000000000000000000000000000000000000000000000) (.f32 (pow.f32 u2 4) (-.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))))))))
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(pow.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) 1)
(pow.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 1/4) 2)
(pow.f32 (cbrt.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))) 3)
(pow.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 3/2) 1/3)
(fabs.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))
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(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
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(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) 1/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1))) 1))
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Outputs
(.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 (*.f32 u2 u1)))
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(fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 u1 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (.f32 u2 u2) u1)))
(.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4))))
(.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) u1)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 (pow.f32 u2 2) u1)))
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(pow.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 3/2) 1/3)
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))) 3/2))
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))) 3/2))
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3/2))
(fabs.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(log.f32 (exp.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(cbrt.f32 (pow.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1) 3/2))
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))) 3/2))
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))) 3/2))
(cbrt.f32 (pow.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3/2))
(expm1.f32 (log1p.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(exp.f32 (log.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1)) 1/2))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))) u1))) 1))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(log1p.f32 (expm1.f32 (sqrt.f32 (.f32 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) u1))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 u2 (*.f32 98696044010906577398881/2500000000000000000000 u2)))))
(sqrt.f32 (.f32 u1 (fma.f32 u2 (.f32 98696044010906577398881/2500000000000000000000 u2) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (.f32 u1 (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

eval542.0ms (4.2%)

Compiler: Compiled 19064 to 14191 computations (25.6% saved)

prune336.0ms (2.6%)

Pruning

48 alts after pruning (39 fresh and 9 done)

	Pruned	Kept	Total
New	936	12	948
Fresh	8	27	35
Picked	1	0	1
Done	1	9	10
Total	946	48	994

Error

0.0b

Counts

994 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	7.7b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	6.1b	(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	0.6b	(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	1.6b	(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3))
	0.6b	(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
✓	0.5b	(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.0b	(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)))
	30.4b	(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
	0.7b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
	20.6b	(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
✓	0.7b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (pow.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) 1/4) -2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
	6.1b	(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
	6.1b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
	11.4b	(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
	13.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 1))
	3.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	7.6b	(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.3b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
	10.0b	(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
	30.4b	(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
	6.0b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	11.4b	(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
	6.0b	(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
✓	32.0b	(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
	6.1b	(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
✓	11.5b	(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
	11.5b	(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
	5.9b	(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
	21.4b	(sqrt.f32 (/.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 u2 314159265359/25000000000))) (/.f32 2 (/.f32 u1 (-.f32 1 u1)))))
	5.9b	(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
	4.4b	(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
✓	2.2b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	21.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
	4.4b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
	10.6b	(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) u1))
	8.6b	(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
	11.4b	(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
	11.4b	(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
	5.9b	(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
	11.4b	(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))

Compiler

Compiled 717 to 573 computations (20.1% saved)

regimes549.0ms (4.2%)

Counts

89 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) u1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) 1/4) -2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (/.f32 (-.f32 (cos.f32 0) (cos.f32 (*.f32 u2 314159265359/25000000000))) (/.f32 2 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))) 3)
(pow.f32 (cbrt.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3) 1/3))
(-.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) 1)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1))))) 1)
(-.f32 (exp.f32 (log1p.f32 (/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(/.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) (pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3))
(/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2)))
(/.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) 2)))

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

Calls

8 calls:

88.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
88.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
71.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
69.0ms	u2
65.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))`
0.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.5b	1	`(/.f32 u1 (-.f32 1 u1))`
0.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
0.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1182 to 853 computations (27.8% saved)

regimes274.0ms (2.1%)

Counts

62 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) u1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (sin.f32 (*.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

38.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
35.0ms	(/.f32 u1 (-.f32 1 u1))
34.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
31.0ms	(*.f32 314159265359/50000000000 u2)
29.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))`
0.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.5b	1	`(/.f32 u1 (-.f32 1 u1))`
0.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
0.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 768 to 537 computations (30.1% saved)

regimes238.0ms (1.8%)

Counts

59 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (pow.f32 (-.f32 -1 (/.f32 -1 u1)) -1/2) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sin.f32 (*.f32 u2 314159265359/50000000000))))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (+.f32 (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) u1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (-.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/25000000000)) 2))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 314159265359/50000000000) (*.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) (.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(sqrt.f32 (+.f32 (/.f32 (.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)) u1) (-.f32 1 u1)) (.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 -9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))
(/.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 (-.f32 1 u1)) (sin.f32 (*.f32 314159265359/50000000000 u2))))
(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))

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

Calls

8 calls:

29.0ms	u1
28.0ms	(*.f32 314159265359/50000000000 u2)
28.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
28.0ms	(/.f32 u1 (-.f32 1 u1))
27.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Results

Error	Segments	Branch
0.5b	1	`cosTheta_i`
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))`
0.5b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.5b	1	`(/.f32 u1 (-.f32 1 u1))`
0.5b	1	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
0.5b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 727 to 505 computations (30.5% saved)

regimes270.0ms (2.1%)

Counts

37 → 2

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (fma.f32 u1 u1 u1))))
(.f32 u2 (.f32 (sqrt.f32 u1) (fma.f32 (*.f32 u2 -31006276680305942139213528068663279/750000000000000000000000000000000) u2 314159265359/50000000000)))

Outputs
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2)))

Calls

7 calls:

58.0ms	(/.f32 u1 (-.f32 1 u1))
50.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
35.0ms	(*.f32 314159265359/50000000000 u2)
33.0ms	u2
33.0ms	u1

Results

Error	Segments	Branch
5.9b	1	`cosTheta_i`
2.9b	2	`u1`
2.3b	2	`u2`
2.9b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	2	`(/.f32 u1 (-.f32 1 u1))`
2.3b	3	`(sin.f32 (*.f32 314159265359/50000000000 u2))`
2.3b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 420 to 277 computations (34% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.007119261659681797	0.00784587673842907

Compiler

Compiled 20 to 16 computations (20% saved)

regimes162.0ms (1.3%)

Counts

34 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 (.f32 (.f32 u2 u2) (+.f32 u1 1)) (.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))))
(sqrt.f32 (.f32 (/.f32 (.f32 u2 u2) (-.f32 1 u1)) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(sqrt.f32 (/.f32 u2 (/.f32 (-.f32 1 u1) (.f32 u2 (.f32 u1 98696044010906577398881/2500000000000000000000)))))
(sqrt.f32 (/.f32 u2 (/.f32 (/.f32 (-.f32 1 u1) u2) (*.f32 u1 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (/.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 (*.f32 u2 u2) u1)) (-.f32 1 u1)))
(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) (.f32 314159265359/50000000000 u2))
(sqrt.f32 (/.f32 (/.f32 (*.f32 u1 98696044010906577398881/2500000000000000000000) (/.f32 1 u2)) (/.f32 (-.f32 1 u1) u2)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (+.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) u1) (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) 1)))))

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

Calls

6 calls:

53.0ms	(*.f32 314159265359/50000000000 u2)
38.0ms	u2
16.0ms	(/.f32 u1 (-.f32 1 u1))
16.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
15.0ms	u1

Results

Error	Segments	Branch
5.9b	1	`cosTheta_i`
5.9b	1	`u1`
5.9b	1	`u2`
5.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.9b	1	`(/.f32 u1 (-.f32 1 u1))`
5.9b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 386 to 256 computations (33.7% saved)

regimes106.0ms (0.8%)

Counts

23 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(.f32 -314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(*.f32 314159265359/50000000000 (/.f32 u2 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))
(.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 98696044010906577398881/2500000000000000000000) (-.f32 1 u1))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -314159265359/50000000000))
(.f32 (.f32 -314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 (/.f32 314159265359/50000000000 (sqrt.f32 (+.f32 -1 (/.f32 1 u1)))) u2)
(/.f32 u2 (/.f32 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)) -314159265359/50000000000))
(/.f32 (*.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(/.f32 (*.f32 u2 314159265359/50000000000) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))

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

Calls

6 calls:

41.0ms	u2
12.0ms	u1
12.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
12.0ms	(*.f32 314159265359/50000000000 u2)
12.0ms	cosTheta_i

Results

Error	Segments	Branch
5.9b	1	`cosTheta_i`
5.9b	1	`u1`
5.9b	1	`u2`
5.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.9b	1	`(/.f32 u1 (-.f32 1 u1))`
5.9b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 236 to 161 computations (31.8% saved)

regimes42.0ms (0.3%)

Counts

10 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 (.f32 u2 u2) (*.f32 u1 98696044010906577398881/2500000000000000000000)))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u1 (*.f32 u2 u2))))
(.f32 314159265359/50000000000 (sqrt.f32 (.f32 u2 (*.f32 u2 u1))))

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

Calls

3 calls:

26.0ms	u1
8.0ms	cosTheta_i
6.0ms	u2

Results

Error	Segments	Branch
11.4b	1	`cosTheta_i`
11.4b	1	`u1`
11.4b	1	`u2`

Compiler

Compiled 83 to 50 computations (39.8% saved)

regimes17.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 u2 (.f32 (sqrt.f32 u1) -314159265359/50000000000))
(.f32 (.f32 u2 314159265359/50000000000) (sqrt.f32 u1))
(sqrt.f32 (.f32 u1 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))))

Outputs
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))

Calls

3 calls:

6.0ms	cosTheta_i
5.0ms	u2
5.0ms	u1

Results

Error	Segments	Branch
11.4b	1	`cosTheta_i`
11.4b	1	`u1`
11.4b	1	`u2`

Compiler

Compiled 51 to 33 computations (35.3% saved)

regimes11.0ms (0.1%)

Accuracy

Total -20.5b remaining (-178.9%)

Threshold costs -20.5b (-178.9%)

Counts

2 → 1

Calls

Call 1

Inputs
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))

Outputs
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))

Calls

3 calls:

4.0ms	cosTheta_i
3.0ms	u2
3.0ms	u1

Results

Error	Segments	Branch
11.5b	1	`cosTheta_i`
11.5b	1	`u1`
11.5b	1	`u2`

Compiler

Compiled 25 to 19 computations (24% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
8×	`+-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	318
1	75	318
2	78	318
3	80	318
4	81	318

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 16106127/2147483648) (sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (.f32 u2 u2) u1) (+.f32 u1 -1)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) (sin.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 314159265359/50000000000)))
(if (<=.f32 (.f32 314159265359/50000000000 u2) 16106127/2147483648) (sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (.f32 u2 u2) u1) (+.f32 u1 -1)))) (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))))
(if (<=.f32 (.f32 u2 314159265359/50000000000) 16106127/2147483648) (sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u1 (.f32 u2 u2)) (+.f32 u1 -1)))) (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (*.f32 u2 u2) u1) (+.f32 u1 -1))))
(sqrt.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 u1 (*.f32 u2 u2)) (+.f32 u1 -1))))
(sqrt.f32 (*.f32 u2 (/.f32 u2 (+.f32 (/.f32 2500000000000000000000/98696044010906577398881 u1) -2500000000000000000000/98696044010906577398881))))
(sqrt.f32 (.f32 (.f32 u1 (*.f32 u2 u2)) 98696044010906577398881/2500000000000000000000))
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u1 (*.f32 u2 u2))))
(.f32 u2 (.f32 314159265359/50000000000 (sqrt.f32 u1)))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 u1)))
(*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))

Compiler

Compiled 139 to 107 computations (23% saved)

soundness0.0ms (0%)

end60.0ms (0.5%)

Compiler: Compiled 112 to 73 computations (34.8% 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