Details

analyze75.0ms (0.4%)

Algorithm

1×

Search

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.7s (8.7%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess165.0ms (0.8%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 cosTheta_i (-.f64 1 cosTheta_i))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 cosTheta_i)))
(.f64 (sqrt.f64 (/.f64 u2 (-.f64 1 u2))) (cos.f64 (.f64 314159265359/50000000000 u1)))

Outputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 cosTheta_i (-.f64 1 cosTheta_i))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 cosTheta_i)))
(.f64 (sqrt.f64 (/.f64 u2 (-.f64 1 u2))) (cos.f64 (.f64 314159265359/50000000000 u1)))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify64.0ms (0.3%)

Algorithm

1×

egglog

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Outputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

eval2.0ms (0%)

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

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
✓	0.1b	(*.f64 314159265359/50000000000 u2)
✓	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 39 to 27 computations (30.8% saved)

series69.0ms (0.3%)

Counts

4 → 16

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 5100 to 4260 computations (16.5% saved)

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

91×	`egg-rr`
37×	`egg-rr`
31×	`egg-rr`
23×	`egg-rr`

Counts

4 → 182

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 314159265359/50000000000 u2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))

simplify384.0ms (1.9%)

Algorithm

1×

egglog

Counts

198 → 242

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 u1) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 (neg.f64 u1)) (/.f64 (+.f64 u1 -1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 u1 -1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (*.f64 (/.f64 u1 (+.f64 (pow.f64 u1 3) -1)) (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (neg.f64 (cbrt.f64 u1)) (/.f64 (+.f64 u1 -1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (*.f64 u1 (+.f64 1 (fma.f64 u1 u1 u1))) (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))
(-.f64 0 (/.f64 u1 (+.f64 u1 -1)))
(-.f64 (/.f64 0 (+.f64 u1 -1)) (/.f64 u1 (+.f64 u1 -1)))
(*.f64 -1 (/.f64 u1 (+.f64 u1 -1)))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 1 -1) (/.f64 u1 (+.f64 u1 -1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) -1) (/.f64 (cbrt.f64 u1) (+.f64 u1 -1)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 u1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 (/.f64 -1 (cbrt.f64 (+.f64 u1 -1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (neg.f64 (cbrt.f64 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 u1 -1)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) -1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(.f64 (/.f64 (cbrt.f64 u1) (neg.f64 (cbrt.f64 (-.f64 1 u1)))) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 u1) -1) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (-.f64 1 u1)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 u1 -1))) (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(*.f64 u1 (/.f64 1 (-.f64 1 u1)))
(*.f64 (/.f64 1 (-.f64 1 u1)) u1)
(.f64 (.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
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(.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
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(.f64 (cbrt.f64 u1) (.f64 (neg.f64 (cbrt.f64 (*.f64 u1 u1))) (/.f64 -1 (-.f64 1 u1))))
(.f64 (neg.f64 (cbrt.f64 u1)) (.f64 (cbrt.f64 (*.f64 u1 u1)) (/.f64 -1 (-.f64 1 u1))))
(.f64 (cbrt.f64 u1) (.f64 (/.f64 (cbrt.f64 (*.f64 u1 u1)) (-.f64 1 u1)) 1))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) (.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) 1))
(.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) u1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2) (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 u1 -1) (/.f64 -1 (-.f64 1 u1)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 u1) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) -1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 u1 -1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (+.f64 u1 -1))) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (/.f64 1 (neg.f64 (cbrt.f64 (-.f64 1 u1)))) (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 (/.f64 (neg.f64 (cbrt.f64 u1)) (cbrt.f64 (+.f64 u1 -1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(.f64 (/.f64 (neg.f64 (cbrt.f64 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 u1 -1)))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (.f64 u1 u1)))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(*.f64 (neg.f64 u1) (/.f64 -1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (/.f64 1 (-.f64 1 u1))))
(*.f64 (/.f64 -1 (-.f64 1 u1)) (neg.f64 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (cbrt.f64 (neg.f64 u1)) (.f64 (cbrt.f64 (*.f64 u1 u1)) (/.f64 -1 (-.f64 1 u1))))
(.f64 (neg.f64 u1) (.f64 (/.f64 -1 (-.f64 1 u1)) 1))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (neg.f64 u1))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (+.f64 u1 -1)))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (-.f64 1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (+.f64 u1 -1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (neg.f64 u1) (+.f64 u1 -1))
(/.f64 (neg.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (.f64 u1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 u1)) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (/.f64 u1 -1) (+.f64 u1 -1))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) 2))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(neg.f64 (/.f64 u1 (+.f64 u1 -1)))
(neg.f64 (*.f64 (/.f64 u1 (+.f64 u1 -1)) 1))
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(.f64 (cbrt.f64 314159265359/50000000000) (.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2))
(.f64 (cbrt.f64 u2) (cbrt.f64 (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)))
(.f64 (cbrt.f64 (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)) (cbrt.f64 u2))
(.f64 (.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2) (cbrt.f64 314159265359/50000000000))
(.f64 (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) 2))
(.f64 (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (cbrt.f64 314159265359/50000000000)) (cbrt.f64 u2))
(.f64 (.f64 (cbrt.f64 (*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)) (cbrt.f64 u2)) (cbrt.f64 u2))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 314159265359/50000000000)) (sqrt.f64 (sqrt.f64 314159265359/50000000000))) (sqrt.f64 (sqrt.f64 314159265359/50000000000)))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 314159265359/50000000000)) (cbrt.f64 (sqrt.f64 314159265359/50000000000))) (cbrt.f64 314159265359/50000000000))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 314159265359/50000000000)) (cbrt.f64 314159265359/50000000000)) (cbrt.f64 314159265359/50000000000))
(.f64 (cbrt.f64 314159265359/50000000000) (.f64 (cbrt.f64 u2) (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))))
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 314159265359/50000000000) (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) 2) (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) 2) 2) (cbrt.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (cbrt.f64 (cbrt.f64 u2)) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 u2)) 2) (cbrt.f64 (.f64 (.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000))))
(.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 314159265359/50000000000)
(.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (cbrt.f64 (.f64 314159265359/50000000000 u2)))
(.f64 1 (.f64 314159265359/50000000000 u2))
(.f64 (.f64 314159265359/50000000000 u2) 1)
(.f64 (cbrt.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)) (cbrt.f64 (*.f64 u2 u2)))
(.f64 (.f64 u2 (sqrt.f64 314159265359/50000000000)) (sqrt.f64 314159265359/50000000000))
(.f64 (.f64 u2 (cbrt.f64 314159265359/50000000000)) (cbrt.f64 98696044010906577398881/2500000000000000000000))
(.f64 (sqrt.f64 314159265359/50000000000) (.f64 u2 (sqrt.f64 314159265359/50000000000)))
(.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (.f64 u2 (cbrt.f64 314159265359/50000000000)))
(.f64 (cbrt.f64 (.f64 u2 u2)) (cbrt.f64 (*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)))
(.f64 (.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)) 1) (cbrt.f64 (.f64 u2 u2)))
(.f64 (.f64 (cbrt.f64 (*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)) (pow.f64 (cbrt.f64 (cbrt.f64 u2)) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 u2)) 2) 2))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 314159265359/50000000000)) (cbrt.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000))) (pow.f64 (cbrt.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000)) 2))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 314159265359/50000000000)) 1) (cbrt.f64 98696044010906577398881/2500000000000000000000))
(/.f64 (*.f64 314159265359/50000000000 u2) 1)
(pow.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) 3)
(pow.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3) 1/3)
(pow.f64 (*.f64 314159265359/50000000000 u2) 1)
(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6)))))
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 u1) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (+.f64 (*.f64 u1 u1) (pow.f64 u1 4)) (+.f64 (pow.f64 u1 3) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (neg.f64 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
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(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

eval213.0ms (1.1%)

Compiler: Compiled 5094 to 3723 computations (26.9% saved)

prune68.0ms (0.3%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	218	24	242
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	218	25	243

Error

0.0b

Counts

243 → 25

Alt Table

Click to see full alt table

Status	Error	Program
▶	12.0b	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	7.9b	(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
	1.5b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	0.7b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
▶	0.6b	(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (fma.f64 u1 u1 u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.6b	(.f64 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (.f64 u1 u1))) (+.f64 u1 -1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2) (.f64 u2 u2)))))
	11.4b	(.f64 (sqrt.f64 (+.f64 (.f64 u1 u1) (+.f64 (pow.f64 u1 3) u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
▶	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (/.f64 -1 (cbrt.f64 (+.f64 u1 -1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	34.2b	(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	24.6b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
	0.8b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Compiler

Compiled 960 to 755 computations (21.4% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 314159265359/50000000000 u2)
✓	0.2b	(/.f64 1 (-.f64 1 u1))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
✓	0.4b	(*.f64 (/.f64 1 (-.f64 1 u1)) u1)

Compiler

Compiled 50 to 37 computations (26% saved)

series42.0ms (0.2%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(/.f64 1 (-.f64 1 u1))
0.0ms	u1	@	0	(*.f64 (/.f64 1 (-.f64 1 u1)) u1)

Compiler

Compiled 4560 to 3705 computations (18.8% saved)

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

83×	`egg-rr`
55×	`egg-rr`
37×	`egg-rr`

Counts

3 → 175

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 1 u1)) u1)
(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(/.f64 1 (-.f64 1 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 -1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 u1) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (.f64 (/.f64 u1 (+.f64 -1 (pow.f64 u1 3))) (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 (neg.f64 u1)) (/.f64 (+.f64 -1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (.f64 u1 (+.f64 1 (fma.f64 u1 u1 u1))) (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 -1 u1)) (/.f64 u1 (+.f64 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) -1) (/.f64 (cbrt.f64 u1) (+.f64 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 -1) (/.f64 u1 (+.f64 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 u1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 u1 (+.f64 -1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))))) (#(struct:change 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Outputs

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egg-rr> (2) ((x neg.f64 (/.f64 -1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (-.f64 1 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (/.f64 -1 (+.f64 -1 u1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3))))))

simplify285.0ms (1.4%)

Algorithm

1×

egglog

Counts

211 → 260

Calls

Call 1

Inputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1
(+.f64 1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 1 u1))
(+.f64 (pow.f64 u1 2) (+.f64 1 (+.f64 u1 (pow.f64 u1 3))))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 4)))) (/.f64 1 u1))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 4)) (.f64 -1 (pow.f64 (/.f64 -1 u1) 2)))) (/.f64 1 u1))
(if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 -1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 u1) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 -1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (*.f64 (/.f64 u1 (+.f64 -1 (pow.f64 u1 3))) (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 (neg.f64 u1)) (/.f64 (+.f64 -1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (*.f64 u1 (+.f64 1 (fma.f64 u1 u1 u1))) (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))
(-.f64 (/.f64 0 (+.f64 -1 u1)) (/.f64 u1 (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) -1) (/.f64 (cbrt.f64 u1) (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 1 -1) (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 u1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 u1) -1) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (-.f64 1 u1)))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (+.f64 -1 u1))) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (/.f64 1 -1) (/.f64 (neg.f64 u1) (-.f64 1 u1)))
(*.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) u1)
(*.f64 u1 (/.f64 -1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (.f64 u1 u1)))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
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(/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) -1) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2))
(/.f64 -1 (/.f64 (-.f64 1 u1) -1))
(/.f64 -1 (+.f64 -1 u1))
(/.f64 1 (-.f64 1 u1))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 -1 (+.f64 -1 u1)) 1)
(/.f64 (/.f64 1 -1) (+.f64 -1 u1))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3)
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3) 1/3)
(pow.f64 (-.f64 1 u1) -1)
(pow.f64 (/.f64 -1 (+.f64 -1 u1)) 1)
(neg.f64 (/.f64 -1 (-.f64 1 u1)))
(neg.f64 (*.f64 (/.f64 -1 (-.f64 1 u1)) 1))
(neg.f64 (*.f64 (/.f64 -1 (+.f64 -1 u1)) -1))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3))

Outputs
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 u1) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (+.f64 (*.f64 u1 u1) (pow.f64 u1 4)) (+.f64 (pow.f64 u1 3) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (neg.f64 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6))))))
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (+.f64 (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1
(+.f64 1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 1 u1))
(+.f64 (*.f64 u1 u1) (+.f64 1 u1))
(+.f64 (pow.f64 u1 2) (+.f64 1 (+.f64 u1 (pow.f64 u1 3))))
(+.f64 (+.f64 (*.f64 u1 u1) 1) (+.f64 (pow.f64 u1 3) u1))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (/.f64 1 u1))
(-.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (neg.f64 (pow.f64 (/.f64 1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (*.f64 -1 (pow.f64 (/.f64 1 u1) 4)))) (/.f64 1 u1))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (neg.f64 (pow.f64 (/.f64 1 u1) 4)))) (/.f64 1 u1))
(/.f64 -1 u1)
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (/.f64 1 u1))
(-.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 2)) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 2))) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 4)) (.f64 -1 (pow.f64 (/.f64 -1 u1) 2)))) (/.f64 1 u1))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 4)) (neg.f64 (pow.f64 (/.f64 -1 u1) 2)))) (/.f64 1 u1))
(if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 u1) 0) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (/.f64 (-.f64 1 u1) (cbrt.f64 u1))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 u1 0) (/.f64 -1 (/.f64 (+.f64 -1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 u1) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 -1 0) (/.f64 u1 (-.f64 1 u1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (*.f64 (/.f64 u1 (+.f64 -1 (pow.f64 u1 3))) (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (/.f64 (*.f64 u1 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (+.f64 -1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 u1) (/.f64 (-.f64 1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (cbrt.f64 (.f64 u1 u1)) 0) (/.f64 (cbrt.f64 (neg.f64 u1)) (/.f64 (+.f64 -1 u1) (cbrt.f64 (.f64 u1 u1)))) (/.f64 u1 (-.f64 1 u1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (*.f64 u1 (+.f64 1 (fma.f64 u1 u1 u1))) (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (-.f64 1 u1)))
(-.f64 (/.f64 0 (+.f64 -1 u1)) (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) -1) (/.f64 (cbrt.f64 u1) (+.f64 -1 u1)))
(/.f64 (.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 u1)) (*.f64 -1 (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 u1 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) (cbrt.f64 (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))))
(/.f64 u1 (*.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) (cbrt.f64 (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(/.f64 u1 (*.f64 (-.f64 1 (pow.f64 u1 3)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 1 -1) (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 u1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (-.f64 1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(/.f64 (.f64 (cbrt.f64 (neg.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (.f64 u1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 -1 u1)))
(/.f64 (.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (.f64 u1 u1))) (+.f64 -1 u1))
(.f64 (/.f64 (cbrt.f64 u1) -1) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (-.f64 1 u1)))
(.f64 (.f64 (cbrt.f64 u1) -1) (neg.f64 (/.f64 (cbrt.f64 (*.f64 u1 u1)) (-.f64 1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (+.f64 -1 u1))) (/.f64 (neg.f64 (cbrt.f64 (.f64 u1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(.f64 (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))) (neg.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(*.f64 (/.f64 1 -1) (/.f64 (neg.f64 u1) (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) u1)
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 u1 (/.f64 -1 (+.f64 -1 u1)))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 u1 (-.f64 1 u1))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (.f64 u1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) u1) (cbrt.f64 (-.f64 1 u1)))
(.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 u1 (-.f64 1 u1))
(.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))
(/.f64 u1 (-.f64 1 u1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) u1) (cbrt.f64 (-.f64 1 u1)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(/.f64 u1 (-.f64 1 u1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 u1)) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2) u1)) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(.f64 (.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
(.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2)))
(.f64 (.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 2))
(.f64 (.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) u1) (cbrt.f64 (-.f64 1 u1)))
(*.f64 (neg.f64 u1) (/.f64 -1 (-.f64 1 u1)))
(/.f64 u1 (-.f64 1 u1))
(.f64 (.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (pow.f64 (cbrt.f64 (cbrt.f64 u1)) 2)) (cbrt.f64 (*.f64 u1 (cbrt.f64 u1))))
(.f64 (.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) 1) (cbrt.f64 (*.f64 u1 u1)))
(/.f64 u1 (-.f64 1 u1))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
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(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(if (!=.f64 1 0) (/.f64 -1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 0) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (-.f64 1 u1) 2) (/.f64 -1 (+.f64 -1 u1))))) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 -1 0) (/.f64 -1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (*.f64 (/.f64 1 (+.f64 -1 (pow.f64 u1 3))) (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1)))) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (/.f64 (neg.f64 (+.f64 1 (fma.f64 u1 u1 u1))) (+.f64 -1 (pow.f64 u1 3))) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 -1 (+.f64 -1 u1)) 0) (/.f64 1 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) -1)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (/.f64 -1 (+.f64 -1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 -1 (+.f64 -1 u1))) -1) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (cbrt.f64 (-.f64 1 u1)) 0) (pow.f64 (cbrt.f64 (-.f64 1 u1)) (neg.f64 3)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (cbrt.f64 (-.f64 1 u1)) 0) (pow.f64 (cbrt.f64 (-.f64 1 u1)) -3) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (pow.f64 (-.f64 1 u1) 3) 0) (pow.f64 (pow.f64 (-.f64 1 u1) 3) (neg.f64 1/3)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (pow.f64 (-.f64 1 u1) 3) 0) (pow.f64 (pow.f64 (-.f64 1 u1) 3) -1/3) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (-.f64 1 u1) 0) (/.f64 -1 (+.f64 -1 u1)) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2))) (/.f64 -1 (+.f64 -1 u1)))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 (+.f64 1 (fma.f64 u1 u1 u1)) (-.f64 1 (pow.f64 u1 3))) (/.f64 -1 (+.f64 -1 u1)))
(-.f64 0 (/.f64 -1 (-.f64 1 u1)))
(/.f64 1 (-.f64 1 u1))
(-.f64 (/.f64 0 (+.f64 -1 u1)) (/.f64 -1 (-.f64 1 u1)))
(+.f64 (/.f64 0 (+.f64 -1 u1)) (/.f64 1 (-.f64 1 u1)))
(.f64 -1 (.f64 (/.f64 -1 (-.f64 1 u1)) 1))
(/.f64 1 (-.f64 1 u1))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2))))
(/.f64 -1 (+.f64 -1 u1))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (cbrt.f64 (-.f64 1 u1))) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (cbrt.f64 (-.f64 1 u1))))
(/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (*.f64 (cbrt.f64 (-.f64 1 u1)) (cbrt.f64 (-.f64 1 u1))))
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 1) (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(cbrt.f64 (/.f64 (/.f64 -1 (+.f64 -1 u1)) (pow.f64 (-.f64 1 u1) 2)))
(*.f64 (/.f64 -1 (-.f64 1 (pow.f64 u1 3))) (/.f64 -1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(/.f64 (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))) -1) (-.f64 1 (pow.f64 u1 3)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 1 (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))))
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(/.f64 -1 (+.f64 -1 u1))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(/.f64 -1 (+.f64 -1 u1))
(*.f64 -1 (/.f64 -1 (-.f64 1 u1)))
(/.f64 1 (-.f64 1 u1))
(*.f64 1 (/.f64 -1 (+.f64 -1 u1)))
(/.f64 -1 (+.f64 -1 u1))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) 1)
(/.f64 -1 (+.f64 -1 u1))
(*.f64 (/.f64 -1 (-.f64 1 u1)) -1)
(/.f64 1 (-.f64 1 u1))
(.f64 (.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 2))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2))
(/.f64 -1 (+.f64 -1 u1))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 2) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) 2)) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2)) (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2)))
(/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2)))
(*.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 -1 (cbrt.f64 (-.f64 1 u1))))
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(*.f64 (/.f64 1 -1) (/.f64 -1 (-.f64 1 u1)))
(/.f64 1 (-.f64 1 u1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(/.f64 (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))) -1) (-.f64 1 (pow.f64 u1 3)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 -1 u1))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 -1 (*.f64 (cbrt.f64 (+.f64 -1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))
(cbrt.f64 (/.f64 (/.f64 -1 (+.f64 -1 u1)) (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) -1) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2))
(/.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 1 u1))) 2)))
(/.f64 -1 (/.f64 (-.f64 1 u1) -1))
(/.f64 1 (-.f64 1 u1))
(/.f64 -1 (+.f64 -1 u1))
(/.f64 1 (-.f64 1 u1))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (cbrt.f64 (-.f64 1 u1)))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2) (-.f64 1 u1)))
(/.f64 (/.f64 -1 (+.f64 -1 u1)) 1)
(/.f64 -1 (+.f64 -1 u1))
(/.f64 (/.f64 1 -1) (+.f64 -1 u1))
(/.f64 -1 (+.f64 -1 u1))
(/.f64 (/.f64 -1 (cbrt.f64 (-.f64 1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 1 (*.f64 (cbrt.f64 (-.f64 1 u1)) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (neg.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(cbrt.f64 (/.f64 (/.f64 -1 (+.f64 -1 u1)) (pow.f64 (-.f64 1 u1) 2)))
(/.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(/.f64 (pow.f64 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))) -1) (-.f64 1 (pow.f64 u1 3)))
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3)
(/.f64 -1 (+.f64 -1 u1))
(pow.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3) 1/3)
(/.f64 -1 (+.f64 -1 u1))
(pow.f64 (-.f64 1 u1) -1)
(/.f64 1 (-.f64 1 u1))
(pow.f64 (/.f64 -1 (+.f64 -1 u1)) 1)
(/.f64 -1 (+.f64 -1 u1))
(neg.f64 (/.f64 -1 (-.f64 1 u1)))
(/.f64 1 (-.f64 1 u1))
(neg.f64 (*.f64 (/.f64 -1 (-.f64 1 u1)) 1))
(/.f64 1 (-.f64 1 u1))
(neg.f64 (*.f64 (/.f64 -1 (+.f64 -1 u1)) -1))
(/.f64 -1 (+.f64 -1 u1))
(cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3))
(/.f64 -1 (+.f64 -1 u1))

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
	0.2b	(/.f64 u1 (-.f64 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
✓	0.3b	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Compiler

Compiled 52 to 31 computations (40.4% saved)

series104.0ms (0.5%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms	u1	@	-inf	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms	u1	@	0	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms	u2	@	0	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
1.0ms	u2	@	inf	(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Compiler

Compiled 7765 to 6460 computations (16.8% saved)

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

41×	`egg-rr`
40×	`egg-rr`

Counts

2 → 81

Calls

Call 1

Inputs
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Inputs

(fma.f64 -98696044010906577398881/5000000000000000000000 (*.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

(*.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 (.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (cbrt.f64 (pow.f64 (.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 -98696044010906577398881/5000000000000000000000) (.f64 (cbrt.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (.f64 u2 (.f64 u2 (sqrt.f64 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simplify449.0ms (2.2%)

Algorithm

1×

egglog

Counts

97 → 92

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
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(fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(fma.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(fma.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(fma.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(fma.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(fma.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
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(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 1)
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(/.f64 (.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
(pow.f64 (pow.f64 (.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3) 1/3)
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Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.5b	(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)

Compiler

Compiled 59 to 43 computations (27.1% saved)

series193.0ms (1%)

Counts

3 → 4

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
2.0ms	u1	@	0	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
1.0ms	u1	@	-inf	(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
1.0ms	u1	@	inf	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 15210 to 12830 computations (15.6% saved)

rewrite112.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

88×	`egg-rr`
62×	`egg-rr`
58×	`egg-rr`

Counts

3 → 208

Calls

Call 1

Inputs

(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)

(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2)))

(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
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Outputs

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simplify912.0ms (4.5%)

Algorithm

1×

egglog

Counts

212 → 225

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2)))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 6))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 2 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 1 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3/2))
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(/.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (*.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 2 (cos.f64 (*.f64 314159265359/50000000000 u2)))) 2)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)
(/.f64 (.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) 2)
(/.f64 (.f64 (cbrt.f64 4) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 4))
(/.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (sqrt.f64 2))
(/.f64 (.f64 (cbrt.f64 2) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 2))
(/.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) 1) 2)
(/.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 2)) (cbrt.f64 4))
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(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 2 0) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(if (!=.f64 1 0) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (fabs.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (fabs.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (/.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) 2)
(*.f64 1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -2) -2)
(/.f64 (*.f64 -2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2)
(/.f64 (.f64 -2 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 -2 2))
(/.f64 (.f64 (cbrt.f64 2) (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (cbrt.f64 2) 2))
(/.f64 (.f64 8 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 8 2))
(/.f64 (.f64 (cbrt.f64 4) (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (cbrt.f64 4) 2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) -2) (*.f64 2 -2))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 2)) (*.f64 2 (cbrt.f64 2)))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 8) (*.f64 2 8))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 4)) (*.f64 2 (cbrt.f64 4)))
(/.f64 (neg.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) -2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 8) 8)
(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 8))
(/.f64 (.f64 4 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 8)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2)) (sqrt.f64 8))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) 8)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 4)
(/.f64 (.f64 2 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 4)
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 4)
(/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 4)) (cbrt.f64 4))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 4))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) 2)
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2)) (sqrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 2)) (cbrt.f64 4))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 4)) (cbrt.f64 2))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

Outputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2)))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (.f64 u2 u2) -98696044010906577398881/5000000000000000000000))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 6))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 6)) (fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (*.f64 u2 u2) -98696044010906577398881/5000000000000000000000)))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(if (!=.f64 2 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 1 0) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3/2) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
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(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 4) (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 4)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (/.f64 (.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (sqrt.f64 2)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 2) (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 2)))
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(*.f64 2 (/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
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(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -2) -2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 -2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(/.f64 (.f64 (sqrt.f64 2) (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 8))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 8)) (sqrt.f64 8))
(/.f64 (.f64 4 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 8)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2)) (sqrt.f64 8))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 8)) (sqrt.f64 8))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) 8)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 4) 4)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 2 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 4)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 (.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 4)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 4)) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 1/2))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 4) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2))
(.f64 (sqrt.f64 (.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 1/2))
(/.f64 (*.f64 (cbrt.f64 2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 2))
(/.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 2)) (cbrt.f64 2))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) 2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 2)) (sqrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 2)) (cbrt.f64 4))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (/.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 4)) (cbrt.f64 2))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (fabs.f64 (*.f64 2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1/3)
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1/2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(fabs.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
✓	0.3b	(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

Compiler

Compiled 67 to 48 computations (28.4% saved)

series146.0ms (0.7%)

Counts

2 → 16

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
2.0ms	u1	@	0	(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
1.0ms	u1	@	0	(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
1.0ms	u1	@	-inf	(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
1.0ms	u1	@	inf	(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

Compiler

Compiled 11760 to 9840 computations (16.3% saved)

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

47×	`egg-rr`
42×	`egg-rr`

Counts

2 → 89

Calls

Call 1

Inputs

(*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

(*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

Outputs

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2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3))))))

simplify310.0ms (1.5%)

Algorithm

1×

egglog

Counts

105 → 106

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2)))))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 6))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 4))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
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(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
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(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
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(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
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(/.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 3)
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3) 1/3)
(pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3))

Outputs
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 u2 2))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 1))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3) 1/3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(cbrt.f64 (pow.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))

eval867.0ms (4.3%)

Compiler: Compiled 44032 to 32015 computations (27.3% saved)

prune684.0ms (3.4%)

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1708	21	1729
Fresh	7	12	19
Picked	1	0	1
Done	1	4	5
Total	1717	37	1754

Error

Counts

1754 → 37

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3) 1/3)
	12.6b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
	0.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
▶	12.0b	(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	0.4b	(.f64 (if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1/3) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.7b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.0b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	12.0b	(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
▶	0.4b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (fma.f64 u1 u1 u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2) (.f64 u2 u2)))))
▶	1.0b	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	8.5b	(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 u1 u1) 1) (+.f64 (pow.f64 u1 3) u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	11.4b	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2) (-.f64 1 u1))) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	34.2b	(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (cbrt.f64 4) (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)))
	24.6b	(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
	24.7b	(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
✓	24.6b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
	24.6b	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
▶	38.7b	(sqrt.f64 u1)
	12.3b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3))
	0.8b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Compiler

Compiled 1296 to 1029 computations (20.6% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
✓	0.6b	(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))
✓	0.8b	(pow.f64 (*.f64 314159265359/50000000000 u2) 3)

Compiler

Compiled 57 to 43 computations (24.6% saved)

series71.0ms (0.4%)

Counts

3 → 28

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	-inf	(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
2.0ms	u2	@	-inf	(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))
2.0ms	u2	@	0	(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
1.0ms	u2	@	inf	(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))

Compiler

Compiled 5350 to 4450 computations (16.8% saved)

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

45×	`egg-rr`
35×	`egg-rr`
31×	`egg-rr`

Counts

3 → 111

Calls

Call 1

Inputs

(pow.f64 (*.f64 314159265359/50000000000 u2) 3)

(cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))

(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) (*.f64 (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))) (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))) (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))) (cbrt.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2) (cbrt.f64 98696044010906577398881/2500000000000000000000)) (cbrt.f64 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 u2 3) (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000)) (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 u2 3) 314159265359/50000000000) 98696044010906577398881/2500000000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 u2) (*.f64 (cbrt.f64 (*.f64 u2 u2)) (*.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 98696044010906577398881/2500000000000000000000 (*.f64 314159265359/50000000000 (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (*.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 314159265359/50000000000) (*.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (*.f64 (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 314159265359/50000000000 u2)) (*.f64 (*.f64 (cbrt.f64 (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))) (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 314159265359/50000000000 u2) (*.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 u2) (*.f64 (cbrt.f64 314159265359/50000000000) (*.f64 (cbrt.f64 (*.f64 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(sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 3))))))

simplify312.0ms (1.5%)

Algorithm

1×

egglog

Counts

139 → 122

Calls

Call 1

Inputs
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
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(.f64 98696044010906577398881/2500000000000000000000 (.f64 314159265359/50000000000 (pow.f64 u2 3)))
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(.f64 (pow.f64 (.f64 u2 (cbrt.f64 314159265359/50000000000)) 3) 98696044010906577398881/2500000000000000000000)
(.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (pow.f64 (.f64 u2 (sqrt.f64 314159265359/50000000000)) 3))
(.f64 u2 (pow.f64 (cbrt.f64 (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)) 3))
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(.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1)
(.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)) (.f64 314159265359/50000000000 u2))
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(.f64 (.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)) u2) 314159265359/50000000000)
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(.f64 (.f64 (.f64 (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2) (cbrt.f64 314159265359/50000000000)) (cbrt.f64 98696044010906577398881/2500000000000000000000))
(.f64 (.f64 (.f64 (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2) (sqrt.f64 314159265359/50000000000)) (sqrt.f64 314159265359/50000000000))
(.f64 (.f64 (pow.f64 u2 3) 98696044010906577398881/2500000000000000000000) 314159265359/50000000000)
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (cbrt.f64 u2) (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)))
(.f64 314159265359/50000000000 (.f64 98696044010906577398881/2500000000000000000000 (pow.f64 u2 3)))
(.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (.f64 (cbrt.f64 314159265359/50000000000) (.f64 (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2)))
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(.f64 314159265359/50000000000 (pow.f64 (.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) u2) 3))
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(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
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(cbrt.f64 (pow.f64 (pow.f64 (*.f64 314159265359/50000000000 u2) 3) 3))
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(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2))) 1))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Outputs
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(*.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(*.f64 314159265359/50000000000 u2)
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(*.f64 (neg.f64 u2) (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(*.f64 (neg.f64 u2) (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(*.f64 (neg.f64 u2) (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000))
(.f64 -1 (.f64 u2 (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000)))
(*.f64 (neg.f64 u2) (cbrt.f64 -31006276680305942139213528068663279/125000000000000000000000000000000))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 -1/2 (.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 u2 u2) 98696044010906577398881/2500000000000000000000) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (pow.f64 u2 4) (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 4)))) (.f64 -1/2 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 (.f64 u2 u2) 98696044010906577398881/2500000000000000000000) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 1/24 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))
(+.f64 (.f64 -1/720 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 6)))) (+.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 1/24 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (pow.f64 u2 4) (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 4)))) (.f64 -1/2 (.f64 (pow.f64 u2 2) (*.f64 (pow.f64 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))))
(+.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 (pow.f64 u2 6) 961389193575684075633145058384385882649239799132134631991269883031841/15625000000000000000000000000000000000000000000000000000000000000)) -1/720 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fma.f64 -1/2 (.f64 (.f64 (.f64 u2 u2) 98696044010906577398881/2500000000000000000000) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 1/24 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (pow.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1/3)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f64 u2 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(*.f64 (pow.f64 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2)) (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2))))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (cbrt.f64 (*.f64 314159265359/50000000000 u2)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 (.f64 (.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 (.f64 (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2) (cbrt.f64 98696044010906577398881/2500000000000000000000)) (cbrt.f64 314159265359/50000000000))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 (pow.f64 u2 3) (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000)) (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 (pow.f64 u2 3) 314159265359/50000000000) 98696044010906577398881/2500000000000000000000)
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 98696044010906577398881/2500000000000000000000 (.f64 314159265359/50000000000 (pow.f64 u2 3)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (pow.f64 u2 3)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 314159265359/50000000000) (.f64 (cbrt.f64 98696044010906577398881/2500000000000000000000) (.f64 (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)) u2)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2)) (.f64 (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) 1))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 314159265359/50000000000 u2) (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 314159265359/50000000000) (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)))))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 314159265359/50000000000) (.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (*.f64 u2 u2)))))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))) (.f64 (cbrt.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2))) (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)))))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (pow.f64 (cbrt.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2)) 3) (*.f64 u2 u2))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (pow.f64 (.f64 u2 (cbrt.f64 314159265359/50000000000)) 3) 98696044010906577398881/2500000000000000000000)
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (sqrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000) (pow.f64 (.f64 u2 (sqrt.f64 314159265359/50000000000)) 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 u2 (pow.f64 (cbrt.f64 (.f64 (*.f64 u2 u2) 31006276680305942139213528068663279/125000000000000000000000000000000)) 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 1 (pow.f64 (.f64 314159265359/50000000000 u2) 3))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3) 1)
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
(.f64 (.f64 98696044010906577398881/2500000000000000000000 (.f64 u2 u2)) (.f64 314159265359/50000000000 u2))
(pow.f64 (*.f64 314159265359/50000000000 u2) 3)
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(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize7.0ms (0%)

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

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
✓	0.3b	(.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
✓	0.3b	(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
✓	0.4b	(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))

Compiler

Compiled 70 to 46 computations (34.3% saved)

series285.0ms (1.4%)

Counts

4 → 20

Calls

24 calls:

Time	Variable		Point	Expression
16.0ms	u1	@	inf	(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
2.0ms	u1	@	-inf	(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
2.0ms	u2	@	-inf	(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
1.0ms	u1	@	0	(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
1.0ms	u1	@	0	(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Compiler

Compiled 12865 to 10585 computations (17.7% saved)

rewrite151.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

48×	`egg-rr`
46×	`egg-rr`
42×	`egg-rr`
29×	`egg-rr`

Counts

4 → 165

Calls

Call 1

Inputs
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 u2 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
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simplify614.0ms (3%)

Algorithm

1×

egglog

Counts

185 → 178

Calls

Call 1

Inputs
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(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
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(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
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(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
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(.f64 (.f64 (.f64 (.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 u2)) (.f64 (cbrt.f64 (.f64 u2 u2)) u2))
(.f64 (.f64 (cbrt.f64 (.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 (cbrt.f64 u2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) 2) (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (.f64 u2 (cbrt.f64 u2)) (.f64 (cbrt.f64 (.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 u2) (.f64 (.f64 (cbrt.f64 (.f64 u2 u2)) u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (cbrt.f64 u2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 u2 u2))) (.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 1 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2)) (cbrt.f64 (.f64 u2 u2)))
(.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 u2 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (.f64 u2 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (*.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) 2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 (cbrt.f64 u2))) (cbrt.f64 (.f64 u2 u2)))
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (.f64 u2 (cbrt.f64 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(/.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) u2))
(.f64 (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (cbrt.f64 (cbrt.f64 u2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 u2 u2))) (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2)
(.f64 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 1 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 u2)) (cbrt.f64 (*.f64 u2 u2)))
(.f64 (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (.f64 u2 u2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 u2)))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(/.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (cbrt.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(cbrt.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))

Outputs
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(*.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (/.f64 -1 u2) -2))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -98696044010906577398881/5000000000000000000000)
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 -98696044010906577398881/5000000000000000000000 u2))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) u2)
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) u2)
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 u2 u2) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -98696044010906577398881/5000000000000000000000))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) -98696044010906577398881/5000000000000000000000))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 -98696044010906577398881/5000000000000000000000) (.f64 (cbrt.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -98696044010906577398881/5000000000000000000000) (*.f64 u2 u2))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) -98696044010906577398881/5000000000000000000000) (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000) (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 -98696044010906577398881/5000000000000000000000))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 -98696044010906577398881/5000000000000000000000 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2))
(.f64 u2 (.f64 (*.f64 -98696044010906577398881/5000000000000000000000 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
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(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 u2) (.f64 (.f64 (cbrt.f64 (.f64 u2 u2)) u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (cbrt.f64 u2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 u2 u2))) (.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 1 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2)) (cbrt.f64 (.f64 u2 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (*.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (*.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 u2 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (.f64 u2 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (*.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) 2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 (cbrt.f64 u2))) (cbrt.f64 (.f64 u2 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (.f64 u2 (cbrt.f64 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(/.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(pow.f64 (cbrt.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(pow.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(pow.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(cbrt.f64 (pow.f64 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (.f64 u2 u2))
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) u2))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 u2))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) u2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (cbrt.f64 u2)) (.f64 (cbrt.f64 (cbrt.f64 (.f64 u2 u2))) (.f64 (cbrt.f64 (*.f64 u2 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) u2)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (cbrt.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 1 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 u2)) (cbrt.f64 (*.f64 u2 u2)))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 u2 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (.f64 u2 u2)) (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 u2)))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (*.f64 u2 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (cbrt.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 3)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3))
(*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.2b	(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
✓	0.3b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1)

Compiler

Compiled 120 to 88 computations (26.7% saved)

series45.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
0.0ms	u2	@	inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 4790 to 3600 computations (24.8% saved)

rewrite169.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

74×	`egg-rr`
41×	`egg-rr`
38×	`egg-rr`

Counts

3 → 153

Calls

Call 1

Inputs

(pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1)

(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

(/.f64 1 (/.f64 u1 (-.f64 1 u1)))

Outputs

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simplify719.0ms (3.6%)

Algorithm

1×

egglog

Counts

201 → 223

Calls

Call 1

Inputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
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(/.f64 1 u1)
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
-1
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
-1
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
(-.f64 (/.f64 1 u1) 1)
(if (!=.f64 -1 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1))
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(if (!=.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))) 0) (/.f64 -1 (/.f64 -1 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) 2))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1)) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 1 (/.f64 1 (-.f64 1 u1))) 0) (/.f64 (/.f64 1 u1) (/.f64 1 (/.f64 1 (/.f64 1 (-.f64 1 u1))))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (/.f64 -1 (/.f64 1 (-.f64 1 u1))) 0) (/.f64 (/.f64 -1 u1) (/.f64 1 (/.f64 -1 (/.f64 1 (-.f64 1 u1))))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) (/.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) 2))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) 0) (*.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (+.f64 -1 u1) 0) (*.f64 (/.f64 (/.f64 1 u1) -1) (+.f64 -1 u1)) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)) 0) (*.f64 (/.f64 1 (/.f64 u1 (cbrt.f64 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 3)) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 0) (pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) (neg.f64 1/3)) (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(-.f64 0 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(-.f64 (/.f64 0 (/.f64 u1 (+.f64 -1 u1))) (/.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (/.f64 -1 u1) (/.f64 -1 (/.f64 1 (-.f64 1 u1))))
(*.f64 -1 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(*.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))) (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
(*.f64 (/.f64 1 u1) (/.f64 1 (/.f64 1 (-.f64 1 u1))))
(*.f64 1 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 1)
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))))
(*.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))) -1)
(*.f64 (/.f64 1 (/.f64 1 (-.f64 1 u1))) (/.f64 1 u1))
(*.f64 (/.f64 -1 (/.f64 1 (-.f64 1 u1))) (/.f64 -1 u1))
(.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) 2) (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2))))
(.f64 (cbrt.f64 (/.f64 -1 u1)) (.f64 (cbrt.f64 (/.f64 -1 (*.f64 u1 u1))) (/.f64 1 (/.f64 1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (/.f64 1 u1)) (.f64 (pow.f64 (cbrt.f64 (/.f64 1 u1)) 2) (/.f64 1 (/.f64 1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (/.f64 1 u1)) (.f64 (cbrt.f64 (/.f64 1 (*.f64 u1 u1))) (/.f64 1 (/.f64 1 (-.f64 1 u1)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))))))
(/.f64 (/.f64 1 u1) (/.f64 1 (-.f64 1 u1)))
(/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 1)
(/.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))) -1) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(/.f64 (/.f64 -1 (/.f64 1 (-.f64 1 u1))) (neg.f64 u1))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 u1))) u1)
(/.f64 (.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 1 (/.f64 1 (-.f64 1 u1)))) (cbrt.f64 (.f64 u1 u1)))
(/.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))) -1)
(/.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 -1 (/.f64 -1 (/.f64 1 (-.f64 1 u1)))) u1)
(/.f64 (/.f64 (/.f64 1 u1) -1) (/.f64 1 (+.f64 -1 u1)))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) 2))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 (/.f64 -1 u1) (/.f64 1 (+.f64 -1 u1)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) -1) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(pow.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)
(neg.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 3))

Outputs
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (*.f64 u1 u1) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (*.f64 u1 u1) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (+.f64 (*.f64 u1 u1) (pow.f64 u1 4)) (+.f64 (pow.f64 u1 3) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (neg.f64 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(+.f64 -1 (neg.f64 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (.f64 -1 u1))) 0) (pow.f64 (/.f64 (+.f64 1 (.f64 -1 u1)) u1) -1) (/.f64 u1 (+.f64 1 (.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (.f64 -1 u1))) 0) (pow.f64 (/.f64 (+.f64 1 (.f64 -1 u1)) u1) -1) (/.f64 u1 (+.f64 1 (.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (.f64 -1 u1))) 0) (pow.f64 (/.f64 (+.f64 1 (.f64 -1 u1)) u1) -1) (/.f64 u1 (+.f64 1 (.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (+.f64 1 (.f64 -1 u1))) 0) (pow.f64 (/.f64 (+.f64 1 (.f64 -1 u1)) u1) -1) (/.f64 u1 (+.f64 1 (.f64 -1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
(+.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 (-.f64 1 u1) u1) -1) (/.f64 u1 (-.f64 1 u1)))) (pow.f64 u2 2))))
(+.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (*.f64 u2 u2))))
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(/.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))) -1) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 (/.f64 -1 (/.f64 1 (-.f64 1 u1))) (neg.f64 u1))
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (/.f64 1 (/.f64 1 (-.f64 1 u1))) u1)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 1 (/.f64 1 (-.f64 1 u1)))) (cbrt.f64 (.f64 u1 u1)))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 1 (-.f64 1 u1))) (cbrt.f64 (*.f64 u1 u1)))
(/.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))) -1)
(/.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(/.f64 (*.f64 -1 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (*.f64 -1 (/.f64 -1 (/.f64 1 (-.f64 1 u1)))) u1)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (/.f64 (/.f64 1 u1) -1) (/.f64 1 (+.f64 -1 u1)))
(/.f64 (/.f64 -1 u1) (/.f64 1 (+.f64 -1 u1)))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) u1)) (/.f64 1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) 2))
(/.f64 (/.f64 1 (*.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) u1)) (pow.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) 2))
(/.f64 (/.f64 (/.f64 1 u1) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (/.f64 -1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 (/.f64 -1 u1) (/.f64 1 (+.f64 -1 u1)))
(/.f64 (/.f64 1 (cbrt.f64 (/.f64 1 (-.f64 1 u1)))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))
(/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 (/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
(/.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 1 u1)) 1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 (cbrt.f64 (/.f64 1 u1)) (/.f64 (cbrt.f64 (*.f64 u1 u1)) (-.f64 1 u1)))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 2)) -1) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2))) (cbrt.f64 (/.f64 u1 (+.f64 -1 u1))))
(pow.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 1)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) 3)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) -1)
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))
(neg.f64 (/.f64 1 (/.f64 u1 (+.f64 -1 u1))))
(/.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(cbrt.f64 (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) 3))
(/.f64 1 (/.f64 u1 (-.f64 1 u1)))

localize48.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
✓	0.4b	(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)
✓	0.4b	(cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3)

Compiler

Compiled 74 to 59 computations (20.3% saved)

series419.0ms (2.1%)

Counts

4 → 14

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	u1	@	inf	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
11.0ms	u1	@	0	(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)
4.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
4.0ms	u2	@	inf	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
4.0ms	u1	@	0	(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3)

Compiler

Compiled 33715 to 30410 computations (9.8% saved)

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

87×	`egg-rr`
65×	`egg-rr`
39×	`egg-rr`
37×	`egg-rr`

Counts

4 → 228

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3)
(cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Outputs
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simplify565.0ms (2.8%)

Algorithm

1×

egglog

Counts

242 → 304

Calls

Call 1

Inputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2))
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(pow.f64 (cbrt.f64 -1) 2)
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(.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 u1 (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2)))
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(*.f64 (/.f64 u1 (+.f64 -1 (pow.f64 u1 3))) (/.f64 -1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(*.f64 (/.f64 -1 (+.f64 -1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (+.f64 -1 (pow.f64 u1 3))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (+.f64 -1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (cbrt.f64 (+.f64 -1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))))
(.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (+.f64 -1 u1))) (/.f64 (cbrt.f64 u1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (cbrt.f64 (-.f64 1 u1))) (/.f64 (cbrt.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) -1) (/.f64 (cbrt.f64 u1) (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)))
(*.f64 (/.f64 -1 (+.f64 -1 u1)) u1)
(*.f64 u1 (/.f64 -1 (+.f64 -1 u1)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 2)) (cbrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 1 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))))
(.f64 (/.f64 (cbrt.f64 u1) (-.f64 1 u1)) (cbrt.f64 (.f64 u1 u1)))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (/.f64 u1 (cbrt.f64 (-.f64 1 u1))))
(.f64 (cbrt.f64 u1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(*.f64 -1 (/.f64 u1 (+.f64 -1 u1)))
(*.f64 (neg.f64 u1) (/.f64 1 (+.f64 -1 u1)))
(*.f64 (/.f64 1 (+.f64 -1 u1)) (neg.f64 u1))
(*.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(.f64 (cbrt.f64 (.f64 u1 u1)) (/.f64 (cbrt.f64 u1) (-.f64 1 u1)))
(.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))
(.f64 (.f64 u1 (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(.f64 (.f64 u1 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (cbrt.f64 (+.f64 -1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2))
(.f64 (.f64 (neg.f64 u1) (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(.f64 (.f64 (neg.f64 u1) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)))
(.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 u1))) (.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) u1))
(.f64 (/.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (cbrt.f64 (+.f64 -1 u1)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1)))) 2) u1))
(.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2)) (.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1))
(.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) 1))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 u1))) (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(.f64 (cbrt.f64 (neg.f64 u1)) (/.f64 (cbrt.f64 (.f64 u1 u1)) (+.f64 -1 u1)))
(.f64 (/.f64 (cbrt.f64 (neg.f64 u1)) -1) (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)))
(*.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))))
(*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 u1))) (/.f64 u1 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))))
(*.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) (/.f64 (neg.f64 u1) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))))
(/.f64 u1 (-.f64 1 u1))
(/.f64 (neg.f64 u1) (+.f64 -1 u1))
(/.f64 (*.f64 u1 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (*.f64 (neg.f64 u1) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) -1) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) 1) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) u1) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 -1 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (-.f64 1 u1)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (/.f64 (neg.f64 u1) (+.f64 -1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))))
(neg.f64 (*.f64 (/.f64 -1 (+.f64 -1 u1)) (neg.f64 u1)))
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(if (!=.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -1) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -3)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(if (!=.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) -1/3)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2))) 1))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 -1 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(neg.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Outputs
(*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2))
(+.f64 (.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (+.f64 (.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3))) (.f64 -1/3 (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (cbrt.f64 -1)) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 1/3)))))) u1) (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2)))
(fma.f64 (fma.f64 -1/3 (/.f64 (.f64 (cbrt.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 -1/3 (+.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))) (/.f64 -1 (cbrt.f64 (pow.f64 (cbrt.f64 -1) 2))))))) u1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 (pow.f64 (cbrt.f64 -1) 2) 2)))
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(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (+.f64 -1 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) 1) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 (*.f64 u1 (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (*.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) 1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (/.f64 u1 (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(/.f64 (*.f64 (/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) u1) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (+.f64 -1 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (*.f64 -1 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (+.f64 -1 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (-.f64 1 u1)))
(/.f64 (/.f64 u1 (+.f64 -1 u1)) -1)
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 -1 u1))) (/.f64 u1 (cbrt.f64 (-.f64 1 u1)))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 (*.f64 u1 (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (-.f64 1 u1))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (/.f64 u1 (cbrt.f64 (+.f64 -1 u1))) (neg.f64 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(/.f64 (/.f64 (neg.f64 u1) (+.f64 -1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
(/.f64 (/.f64 (neg.f64 u1) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (+.f64 -1 u1)))
(/.f64 (neg.f64 u1) (*.f64 (cbrt.f64 (+.f64 -1 u1)) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))))
(pow.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3) 1/3)
(/.f64 u1 (-.f64 1 u1))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1)
(/.f64 u1 (-.f64 1 u1))
(pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(/.f64 u1 (-.f64 1 u1))
(neg.f64 (/.f64 u1 (+.f64 -1 u1)))
(neg.f64 (*.f64 (/.f64 u1 (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2))) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))))
(/.f64 (*.f64 (neg.f64 u1) (cbrt.f64 (/.f64 1 (+.f64 -1 u1)))) (cbrt.f64 (pow.f64 (+.f64 -1 u1) 2)))
(neg.f64 (*.f64 (/.f64 -1 (+.f64 -1 u1)) (neg.f64 u1)))
(neg.f64 (neg.f64 (neg.f64 (/.f64 u1 (+.f64 -1 u1)))))
(cbrt.f64 (pow.f64 (/.f64 u1 (-.f64 1 u1)) 3))
(/.f64 u1 (-.f64 1 u1))
(if (!=.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 0) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -1) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(if (!=.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 0) (/.f64 1 (/.f64 (/.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -3)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(if (!=.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) -1/3)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2))) 1))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 -1 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) -1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) -1)
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) (neg.f64 -1))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(neg.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (neg.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

eval943.0ms (4.7%)

Compiler: Compiled 46594 to 35309 computations (24.2% saved)

prune489.0ms (2.4%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1362	5	1367
Fresh	3	25	28
Picked	0	1	1
Done	1	7	8
Total	1366	38	1404

Error

Counts

1404 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3) 1/3)
▶	12.6b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
	0.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
✓	12.0b	(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	1.5b	(.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1/3) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	1.5b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.7b	(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	12.0b	(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (/.f64 1 (/.f64 1 u1)) (/.f64 1 (/.f64 1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	18.2b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
▶	0.4b	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2) (.f64 u2 u2)))))
	0.9b	(.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
✓	1.0b	(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	8.5b	(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 u1 u1) 1) (+.f64 (pow.f64 u1 3) u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	11.4b	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2) (-.f64 1 u1))) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	34.2b	(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (cbrt.f64 4) (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)))
	24.6b	(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
	24.7b	(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
✓	24.6b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
▶	24.6b	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
✓	38.7b	(sqrt.f64 u1)
	12.3b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3))
	0.8b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Compiler

Compiled 1297 to 1029 computations (20.7% saved)

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 314159265359/50000000000 u2)
✓	0.3b	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))
✓	0.5b	(/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))

Compiler

Compiled 103 to 65 computations (36.9% saved)

series56.0ms (0.3%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	inf	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
0.0ms	u2	@	-inf	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 5730 to 4605 computations (19.6% saved)

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

136×	`egg-rr`
50×	`egg-rr`
35×	`egg-rr`

Counts

3 → 221

Calls

Call 1

Inputs

(/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))

(/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))

(*.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Outputs

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-1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2) 2) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1)))) (neg.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2))))))) (#(struct:change #<rule 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simplify429.0ms (2.1%)

Algorithm

1×

egglog

Counts

257 → 332

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 u1))
(+.f64 1 (+.f64 (*.f64 -1 u1) (pow.f64 u1 3)))
(+.f64 1 (+.f64 (.f64 -1 u1) (+.f64 (.f64 -1 (pow.f64 u1 4)) (pow.f64 u1 3))))
(pow.f64 (/.f64 1 u1) 2)
(+.f64 (pow.f64 (/.f64 1 u1) 2) (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (pow.f64 (/.f64 1 u1) 5)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 6)) (pow.f64 (/.f64 1 u1) 5))))
(pow.f64 (/.f64 -1 u1) 2)
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (pow.f64 (/.f64 -1 u1) 2))
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 5)) (pow.f64 (/.f64 -1 u1) 2)))
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 6)) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 5)) (pow.f64 (/.f64 -1 u1) 2))))
u1
(+.f64 (pow.f64 u1 2) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1))))
(+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2))))
(+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2)))))
(+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 6))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(if (!=.f64 1 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (fma.f64 (fma.f64 u1 u1 u1) (+.f64 -1 (fma.f64 u1 u1 u1)) 1) 0) (/.f64 (fma.f64 (fma.f64 u1 u1 u1) (+.f64 -1 (fma.f64 u1 u1 u1)) 1) (+.f64 1 (pow.f64 (fma.f64 u1 u1 u1) 3))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 -1 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))) 0) (/.f64 1 (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 2)) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1))) 0) (/.f64 -1 (/.f64 1 (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1))))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2)) 0) (/.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))) (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2)))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
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(-.f64 0 (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1))))
(-.f64 (/.f64 0 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1))))
(*.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))) (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) 2)) (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1)))))
(*.f64 -1 (/.f64 -1 (+.f64 1 (fma.f64 u1 u1 u1))))
(*.f64 1 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
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(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Outputs
1
(+.f64 1 (*.f64 -1 u1))
(-.f64 1 u1)
(+.f64 1 (+.f64 (*.f64 -1 u1) (pow.f64 u1 3)))
(+.f64 (-.f64 1 u1) (pow.f64 u1 3))
(+.f64 1 (+.f64 (.f64 -1 u1) (+.f64 (.f64 -1 (pow.f64 u1 4)) (pow.f64 u1 3))))
(+.f64 (-.f64 1 u1) (+.f64 (neg.f64 (pow.f64 u1 4)) (pow.f64 u1 3)))
(pow.f64 (/.f64 1 u1) 2)
(+.f64 (pow.f64 (/.f64 1 u1) 2) (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (neg.f64 (pow.f64 (/.f64 1 u1) 3)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (pow.f64 (/.f64 1 u1) 5)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (pow.f64 (/.f64 1 u1) 5)))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 6)) (pow.f64 (/.f64 1 u1) 5))))
(+.f64 (pow.f64 (/.f64 1 u1) 2) (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 6)) (pow.f64 (/.f64 1 u1) 5))))
(pow.f64 (/.f64 -1 u1) 2)
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (pow.f64 (/.f64 -1 u1) 2))
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 5)) (pow.f64 (/.f64 -1 u1) 2)))
(+.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 5))) (pow.f64 (/.f64 -1 u1) 2))
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 6)) (+.f64 (.f64 -1 (pow.f64 (/.f64 -1 u1) 5)) (pow.f64 (/.f64 -1 u1) 2))))
(+.f64 (pow.f64 (/.f64 -1 u1) 3) (+.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 6)) (neg.f64 (pow.f64 (/.f64 -1 u1) 5))) (pow.f64 (/.f64 -1 u1) 2)))
u1
(+.f64 (pow.f64 u1 2) u1)
(fma.f64 u1 u1 u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 3) u1))
(+.f64 (+.f64 (*.f64 u1 u1) (pow.f64 u1 3)) u1)
(+.f64 (pow.f64 u1 2) (+.f64 (pow.f64 u1 4) (+.f64 (pow.f64 u1 3) u1)))
(+.f64 (+.f64 (*.f64 u1 u1) (pow.f64 u1 4)) (+.f64 (pow.f64 u1 3) u1))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 -1 (pow.f64 (/.f64 1 u1) 3)) (.f64 -1 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (neg.f64 (pow.f64 (/.f64 1 u1) 3)) (neg.f64 (pow.f64 (/.f64 1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
-1
(neg.f64 (+.f64 1 (/.f64 1 u1)))
(-.f64 (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (neg.f64 (pow.f64 (/.f64 -1 u1) 2)) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (*.f64 -1 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(-.f64 (+.f64 (pow.f64 (/.f64 -1 u1) 3) (neg.f64 (pow.f64 (/.f64 -1 u1) 2))) (+.f64 1 (/.f64 1 u1)))
(sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1))))
(sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3))))
(+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2))))
(+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (*.f64 u2 u2))))
(+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2)))))
(fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (pow.f64 u2 4)) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (.f64 u2 u2)))))
(+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 4))) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 6))) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (pow.f64 u2 2))))))
(fma.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (pow.f64 u2 4)) (+.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (fma.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (pow.f64 u2 6)) (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (*.f64 u2 u2))))))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (pow.f64 u1 2) (+.f64 1 u1)) u1) (-.f64 1 (.f64 (pow.f64 u1 2) u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(if (!=.f64 1 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (fma.f64 (fma.f64 u1 u1 u1) (+.f64 -1 (fma.f64 u1 u1 u1)) 1) 0) (/.f64 (fma.f64 (fma.f64 u1 u1 u1) (+.f64 -1 (fma.f64 u1 u1 u1)) 1) (+.f64 1 (pow.f64 (fma.f64 u1 u1 u1) 3))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 -1 0) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) (/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 u1 u1 u1)) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))) 2))) (/.f64 -1 (-.f64 -1 (fma.f64 u1 u1 u1))))
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(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) 2)) (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 1) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) 2) 2)))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) -1))
(neg.f64 (neg.f64 (.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
	0.2b	(/.f64 1 (-.f64 1 u1))
	0.4b	(*.f64 (/.f64 1 (-.f64 1 u1)) u1)

Compiler

Compiled 28 to 21 computations (25% saved)

series17.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
0.0ms	u1	@	inf	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
0.0ms	u1	@	-inf	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))

Compiler

Compiled 1690 to 1460 computations (13.6% saved)

rewrite99.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

34× egg-rr

Counts

1 → 34

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))

simplify377.0ms (1.9%)

Algorithm

1×

egglog

Counts

34 → 35

Calls

Call 1

Inputs
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1) -1)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 -1 (.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(neg.f64 (*.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 -1/2 (/.f64 -1/2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1) -1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 -1 (.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (*.f64 -1 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1) (*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) -1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(neg.f64 (*.f64 -1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) -1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

localize65.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 314159265359/50000000000 u2)
✓	0.1b	(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (*.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1))))
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Compiler

Compiled 99 to 56 computations (43.4% saved)

series44.0ms (0.2%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Compiler

Compiled 5280 to 3890 computations (26.3% saved)

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

23×	`egg-rr`
18×	`egg-rr`

Counts

2 → 41

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (*.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))

(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (*.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))) 2) 2) (cbrt.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 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simplify259.0ms (1.3%)

Algorithm

1×

egglog

Counts

77 → 55

Calls

Call 1

Inputs
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(.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))))
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(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))))) 2) 2))
(/.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(*.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))))
(*.f64 1 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
(*.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 1)
(*.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2) (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))))
(/.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))) 1/2)
(pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 3) 1/3)
(pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 2) 1/2)
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 3))
(fabs.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))

Outputs
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (pow.f64 u1 2) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (pow.f64 u1 2) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (pow.f64 u1 2) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
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(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
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(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
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(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
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(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 2) 1/2)
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 2))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))) 3))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))
(fabs.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (fma.f64 u1 u1 u1) (/.f64 u1 (-.f64 1 u1))))

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))
✓	0.4b	(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2))
✓	0.6b	(cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)

Compiler

Compiled 83 to 53 computations (36.1% saved)

series1.4s (6.9%)

Counts

4 → 11

Calls

21 calls:

Time	Variable		Point	Expression
25.0ms	u1	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
23.0ms	u1	@	inf	(cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)))
20.0ms	u1	@	inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
16.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
15.0ms	u2	@	0	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)

Compiler

Compiled 86180 to 75030 computations (12.9% saved)

rewrite198.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

89×	`egg-rr`
89×	`egg-rr`
42×	`egg-rr`
28×	`egg-rr`

Counts

4 → 248

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
(cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)))
(.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))

Outputs
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simplify845.0ms (4.2%)

Algorithm

1×

egglog

Counts

259 → 185

Calls

Call 1

Inputs
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(*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))
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(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 3))

Outputs
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1/3) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1/3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
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(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1/3)
(cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
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(*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))
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(*.f64 -98696044010906577398881/5000000000000000000000 (pow.f64 u2 2))
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(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) 1) (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (*.f64 u2 u2)) -98696044010906577398881/5000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) 1) (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (cbrt.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000))))) (pow.f64 (cbrt.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))) 2))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (neg.f64 (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1))) (neg.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1))) (cbrt.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (*.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))))
(cbrt.f64 (/.f64 (.f64 (.f64 (pow.f64 (.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 1)
(.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 (neg.f64 (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (neg.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(/.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (.f64 (cbrt.f64 (pow.f64 (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))))
(/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) 2))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1))) (neg.f64 (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000)))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (pow.f64 u2 3) 2) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (fma.f64 (.f64 u2 u2) (fma.f64 (*.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 u2) u2 98696044010906577398881/5000000000000000000000) 1))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1))) 3)
(.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 1)
(.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 3) 1/3)
(.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2) 1)) 3))
(.f64 (fma.f64 (.f64 -98696044010906577398881/5000000000000000000000 u2) u2 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 u1 (-.f64 1 u1))
✓	0.3b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.7b	(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
✓	1.5b	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)

Compiler

Compiled 63 to 47 computations (25.4% saved)

series400.0ms (2%)

Counts

3 → 12

Calls

12 calls:

Time	Variable		Point	Expression
11.0ms	u1	@	inf	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
5.0ms	u1	@	inf	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
4.0ms	u1	@	0	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
3.0ms	u1	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
3.0ms	u1	@	0	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))

Compiler

Compiled 30710 to 27810 computations (9.4% saved)

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

25×	`egg-rr`
24×	`egg-rr`
23×	`egg-rr`

Counts

3 → 72

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)

(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)

(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))))

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((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))) (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (*.f64 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 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simplify197.0ms (1%)

Algorithm

1×

egglog

Counts

84 → 80

Calls

Call 1

Inputs
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 4) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 6) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 4) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(*.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1))
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1))
(/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Outputs
(pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 4) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3)))
(+.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 6) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (pow.f64 u2 4) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))) (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))))
(+.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (.f64 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f64 u2 6)))) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 1 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (pow.f64 (*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1/3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 1 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(/.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (/.f64 u1 (-.f64 1 u1)) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (*.f64 2 1/2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (/.f64 2 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) 1/2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 1)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3)
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(fabs.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 1 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) 2) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 1))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 2)) 1))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1) (*.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(/.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 2)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6)
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 3))
(pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 1 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)) (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 2) 2))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) 1) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) 2)))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))) 3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3) 1/3)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 1)
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

eval865.0ms (4.3%)

Compiler: Compiled 39487 to 27254 computations (31% saved)

prune823.0ms (4.1%)

Pruning

38 alts after pruning (30 fresh and 8 done)

	Pruned	Kept	Total
New	1380	8	1388
Fresh	3	22	25
Picked	0	1	1
Done	5	7	12
Total	1388	38	1426

Error

Counts

1426 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	13.2b	(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3) 1/3)
✓	12.6b	(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
	0.4b	(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
	12.0b	(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000))))
	7.9b	(+.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
✓	12.0b	(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
✓	1.5b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	1.5b	(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (.f64 314159265359/50000000000 u2)))
	12.0b	(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (/.f64 1 (/.f64 1 u1)) (/.f64 1 (/.f64 1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (if (!=.f64 u1 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	1.0b	(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	11.4b	(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))))
✓	0.3b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2) (.f64 u2 u2)))))
	0.7b	(.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
✓	0.3b	(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	8.5b	(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 u1 u1) 1) (+.f64 (pow.f64 u1 3) u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	11.4b	(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	18.2b	(.f64 (sqrt.f64 (.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	0.5b	(.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
	34.2b	(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.7b	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
	0.4b	(.f64 (cbrt.f64 4) (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)))
	24.6b	(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
	24.7b	(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
✓	24.6b	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
✓	24.6b	(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
	29.6b	(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
	32.1b	(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
✓	38.7b	(sqrt.f64 u1)
	12.3b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3))
	0.8b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))

Compiler

Compiled 709 to 553 computations (22% saved)

regimes332.0ms (1.6%)

Counts

59 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 u1)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 u1 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (+.f64 (.f64 u1 u1) u1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 (*.f64 u2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 1 (/.f64 1 (/.f64 u1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (/.f64 (/.f64 1 (/.f64 1 u1)) (/.f64 1 (/.f64 1 (-.f64 1 u1)))) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3))
(.f64 (sqrt.f64 (fma.f64 u1 u1 u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 u2 (cbrt.f64 31006276680305942139213528068663279/125000000000000000000000000000000))))
(.f64 (sqrt.f64 (+.f64 (.f64 u1 u1) (+.f64 (pow.f64 u1 3) u1))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (.f64 (.f64 31006276680305942139213528068663279/125000000000000000000000000000000 u2) (.f64 u2 u2)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3))
(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1)) 3) 1/3)
(fma.f64 -98696044010906577398881/5000000000000000000000 (.f64 (.f64 u2 u2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 (.f64 (+.f64 (+.f64 (.f64 u1 u1) 1) (+.f64 (pow.f64 u1 3) u1)) u1)) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1) (-.f64 1 (pow.f64 u1 3)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (if (!=.f64 (/.f64 u1 (-.f64 1 u1)) 0) (pow.f64 (/.f64 1 (/.f64 u1 (-.f64 1 u1))) -1) (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (if (!=.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 0) (/.f64 2 (/.f64 2 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(+.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 u2 u2)) (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f64 u2 4)))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (fma.f64 (pow.f64 (.f64 u2 u2) 3) -961389193575684075633145058384385882649239799132134631991269883031841/125000000000000000000000000000000000000000000000000000000000000000 1)) (+.f64 1 (.f64 (.f64 u2 u2) (-.f64 (.f64 9740909103402808085817682884085781839780052161/25000000000000000000000000000000000000000000 (.f64 u2 u2)) -98696044010906577398881/5000000000000000000000))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2))) 3))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (cbrt.f64 (pow.f64 (.f64 314159265359/50000000000 u2) 3))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 u1 (-.f64 1 u1))) 3)) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 3) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 3)) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (+.f64 -1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (-.f64 1 u1))) 3) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (cbrt.f64 4) (/.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (cbrt.f64 4)))
(.f64 (sqrt.f64 (.f64 (/.f64 (cbrt.f64 (.f64 u1 u1)) (-.f64 1 u1)) (cbrt.f64 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (*.f64 314159265359/50000000000 u2))) (sqrt.f64 2)) (sqrt.f64 2))
(.f64 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 (neg.f64 u1)) (cbrt.f64 (.f64 u1 u1))) (+.f64 u1 -1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 -1 (+.f64 -1 u1)) 2) (-.f64 1 u1))) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (/.f64 u1 (-.f64 1 (pow.f64 u1 3))) (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1))))) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (/.f64 1 (-.f64 1 (pow.f64 u1 3))) (/.f64 u1 (/.f64 1 (+.f64 1 (fma.f64 u1 u1 u1)))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) 4) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))) 6) 1/3) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) 3/2) 1/3) 2) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (.f64 (cos.f64 (*.f64 314159265359/50000000000 u2)) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (sqrt.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (sqrt.f64 (.f64 (/.f64 -1 (cbrt.f64 (+.f64 u1 -1))) (/.f64 u1 (cbrt.f64 (pow.f64 (-.f64 1 u1) 2))))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 1 (-.f64 1 u1))) u1) (cbrt.f64 (pow.f64 (-.f64 1 u1) 2)))) (cos.f64 (*.f64 314159265359/50000000000 u2)))
(+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (.f64 (pow.f64 u2 2) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))) (+.f64 (.f64 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (pow.f64 u2 4))) (sqrt.f64 (/.f64 u1 (-.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cbrt.f64 (cos.f64 (.f64 314159265359/50000000000 u2)))) (cbrt.f64 (pow.f64 (cos.f64 (.f64 314159265359/50000000000 u2)) 2)))

Outputs
(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))

Calls

8 calls:

55.0ms	(*.f64 314159265359/50000000000 u2)
43.0ms	u2
39.0ms	(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))
32.0ms	u1
32.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f64 (sqrt.f64 (/.f64 u1 (-.f64 1 u1))) (cos.f64 (.f64 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
0.3b	1	`(/.f64 u1 (-.f64 1 u1))`
0.3b	1	`(cos.f64 (*.f64 314159265359/50000000000 u2))`
0.3b	1	`(*.f64 314159265359/50000000000 u2)`

Compiler

Compiled 1069 to 780 computations (27% saved)

regimes125.0ms (0.6%)

Counts

9 → 2

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))
(.f64 (sqrt.f64 (.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Outputs

(*.f64 (+.f64 (*.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

(*.f64 (sqrt.f64 (*.f64 (+.f64 1 u1) u1)) (cos.f64 (*.f64 314159265359/50000000000 u2)))

Calls

7 calls:

50.0ms	(*.f64 314159265359/50000000000 u2)
16.0ms	(cos.f64 (*.f64 314159265359/50000000000 u2))
15.0ms	u1
14.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
11.0ms	u2

Results

Error	Segments	Branch
12.0b	1	`cosTheta_i`
8.2b	2	`u1`
6.3b	2	`u2`
8.2b	2	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
8.2b	2	`(/.f64 u1 (-.f64 1 u1))`
6.3b	2	`(cos.f64 (*.f64 314159265359/50000000000 u2))`
6.3b	2	`(*.f64 314159265359/50000000000 u2)`

Compiler

Compiled 126 to 91 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0041679449870828285	0.004475170105462772

Compiler

Compiled 20 to 16 computations (20% saved)

regimes95.0ms (0.5%)

Counts

8 → 2

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))

Outputs
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))
(.f64 (sqrt.f64 u1) (cos.f64 (.f64 314159265359/50000000000 u2)))

Calls

7 calls:

44.0ms	(*.f64 314159265359/50000000000 u2)
10.0ms	u2
10.0ms	(cos.f64 (*.f64 314159265359/50000000000 u2))
10.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
8.0ms	u1

Results

Error	Segments	Branch
12.0b	1	`cosTheta_i`
12.0b	1	`u1`
10.1b	2	`u2`
12.0b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
12.0b	1	`(/.f64 u1 (-.f64 1 u1))`
10.1b	2	`(cos.f64 (*.f64 314159265359/50000000000 u2))`
10.1b	2	`(*.f64 314159265359/50000000000 u2)`

Compiler

Compiled 115 to 83 computations (27.8% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.04743341624947764	0.04805184935242883

Compiler

Compiled 20 to 16 computations (20% saved)

regimes60.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Outputs
(.f64 (+.f64 (.f64 -98696044010906577398881/5000000000000000000000 (*.f64 u2 u2)) 1) (sqrt.f64 (/.f64 u1 (-.f64 1 u1))))

Calls

5 calls:

20.0ms	u1
19.0ms	u2
8.0ms	(/.f64 u1 (-.f64 1 u1))
5.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
5.0ms	cosTheta_i

Results

Error	Segments	Branch
12.0b	1	`cosTheta_i`
12.0b	1	`u1`
12.0b	1	`u2`
12.0b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
12.0b	1	`(/.f64 u1 (-.f64 1 u1))`

Compiler

Compiled 95 to 68 computations (28.4% saved)

regimes34.0ms (0.2%)

Counts

6 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))

Outputs
(sqrt.f64 (if (!=.f64 u1 0) (/.f64 1 (/.f64 (-.f64 1 u1) u1)) (/.f64 u1 (-.f64 1 u1))))

Calls

5 calls:

9.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
6.0ms	(/.f64 u1 (-.f64 1 u1))
5.0ms	u2
5.0ms	u1
5.0ms	cosTheta_i

Results

Error	Segments	Branch
24.6b	1	`cosTheta_i`
24.6b	1	`u1`
24.6b	1	`u2`
24.6b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
24.6b	1	`(/.f64 u1 (-.f64 1 u1))`

Compiler

Compiled 81 to 58 computations (28.4% saved)

regimes26.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))
(sqrt.f64 (.f64 (+.f64 (.f64 u1 u1) (+.f64 1 u1)) u1))

Outputs
(sqrt.f64 (*.f64 (/.f64 1 (-.f64 1 u1)) u1))

Calls

5 calls:

7.0ms	u1
4.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
4.0ms	(/.f64 u1 (-.f64 1 u1))
4.0ms	u2
4.0ms	cosTheta_i

Results

Error	Segments	Branch
24.6b	1	`cosTheta_i`
24.6b	1	`u1`
24.6b	1	`u2`
24.6b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
24.6b	1	`(/.f64 u1 (-.f64 1 u1))`

Compiler

Compiled 64 to 46 computations (28.1% saved)

regimes26.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

Outputs
(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))

Calls

5 calls:

11.0ms	u2
4.0ms	(/.f64 u1 (-.f64 1 u1))
4.0ms	(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))
3.0ms	cosTheta_i
3.0ms	u1

Results

Error	Segments	Branch
24.6b	1	`cosTheta_i`
24.6b	1	`u1`
24.6b	1	`u2`
24.6b	1	`(sqrt.f64 (/.f64 u1 (-.f64 1 u1)))`
24.6b	1	`(/.f64 u1 (-.f64 1 u1))`

Compiler

Compiled 46 to 34 computations (26.1% saved)

regimes10.0ms (0%)

Accuracy

Total -6.6b remaining (-20.6%)

Threshold costs -6.6b (-20.6%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 u1)
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))

Outputs
(sqrt.f64 (*.f64 (+.f64 1 u1) u1))

Calls

3 calls:

3.0ms	u2
3.0ms	u1
3.0ms	cosTheta_i

Results

Error	Segments	Branch
32.1b	1	`cosTheta_i`
32.1b	1	`u1`
32.1b	1	`u2`

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 149 to 115 computations (22.8% saved)

soundness0.0ms (0%)

end72.0ms (0.4%)

Compiler: Compiled 125 to 88 computations (29.6% saved)