Details

analyze33.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	6.2%	93.8%	0%	0%	0%	0
0%	0%	6.2%	93.8%	0%	0%	0%	1
50%	3.1%	3.1%	93.8%	0%	0%	0%	2
50%	3.1%	3.1%	93.8%	0%	0%	0%	3
75%	4.7%	1.6%	93.8%	0%	0%	0%	4
75%	4.7%	1.6%	93.8%	0%	0%	0%	5
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	6
87.5%	5.5%	0.8%	93.8%	0%	0%	0%	7
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	8
93.8%	5.8%	0.4%	93.8%	0%	0%	0%	9
96.9%	6%	0.2%	93.8%	0%	0%	0%	10
96.9%	6%	0.2%	93.8%	0%	0%	0%	11
98.4%	6.1%	0.1%	93.8%	0%	0%	0%	12

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.7s (6.3%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess133.0ms (0.5%)

Algorithm

2×

egglog

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u1))) 1/2)

Outputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u1))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u2)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u1)) 1/2)

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify61.0ms (0.2%)

Algorithm

1×

egglog

Counts

1 → 2

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

eval1.0ms (0%)

Compiler: Compiled 36 to 29 computations (19.4% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Status

Error

Program

▶

0.3b

(fma.f64 (*.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

▶

0.3b

(+.f64 (*.f64 (*.f64 (/.f64 1 6) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (*.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 38 to 33 computations (13.2% saved)

localize56.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series92.0ms (0.3%)

Counts

4 → 15

Calls

15 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
18.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
10.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
6.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
1.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 3895 to 2950 computations (24.3% saved)

rewrite133.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

78×	`egg-rr`
70×	`egg-rr`
48×	`egg-rr`
34×	`egg-rr`

Counts

4 → 230

Calls

Call 1

Inputs
(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
(.f64 (.f64 2 (PI.f64)) u2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 6 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (/.f64 6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 -1 (/.f64 -6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/6 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 1 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 1/6)) (.f64 (sqrt.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 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#<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 36)) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 36)) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 -6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 6)) (neg.f64 (sqrt.f64 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 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simplify465.0ms (1.7%)

Algorithm

1×

egglog

Counts

245 → 274

Calls

Call 1

Inputs
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
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(if (!=.f64 1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
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(if (!=.f64 -1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
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(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 -1 (/.f64 -6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 1/6 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
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(.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))) (/.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 3) 1/512) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 2) 1/64) (pow.f64 (.f64 (.f64 1/2 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)))
(/.f64 (/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))) (pow.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))) 2))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 3) 1/512) (.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 2) 1/64) (pow.f64 (.f64 (.f64 1/2 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3))))
(/.f64 (+.f64 6 (.f64 2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))) (*.f64 2 6))
(/.f64 (+.f64 -6 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))) (*.f64 2 -6))
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
(/.f64 (+.f64 (.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 2) -6) (*.f64 -6 2))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 3) 1/512) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 2) 1/64) (pow.f64 (.f64 (.f64 1/2 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) 1) (.f64 (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))) 1))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2)) (cbrt.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(/.f64 (.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) 1) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(neg.f64 (.f64 -1 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))
(neg.f64 (.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) -1))
(neg.f64 (/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))

Outputs
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) 2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) 2))) (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/144 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (+.f64 (PI.f64) (PI.f64)) 2))) (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 1/144 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 6) (pow.f64 u2 6))))))))
(if (!=.f64 1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 6 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(if (!=.f64 -1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (/.f64 6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 -1 (/.f64 -6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 1/6 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 1 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (pow.f64 (/.f64 1 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 1/6)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 1/6) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 1/6) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 (sqrt.f64 6))) (/.f64 -1 (sqrt.f64 6)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (/.f64 -1 (sqrt.f64 6))) (neg.f64 (sqrt.f64 6)))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 6)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (sqrt.f64 6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 3))
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 6))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 6) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 6)) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 36)))
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 6) (cbrt.f64 36)))
(.f64 (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) 3))
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 3))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 2) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3))
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 3))
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(/.f64 (+.f64 -6 (.f64 2 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))) (*.f64 2 -6))
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(/.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2 6) 12)
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(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 3) 1/512) (.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 2) 1/64) (pow.f64 (.f64 1/12 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3))))
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(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(/.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2)) (cbrt.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (cbrt.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(/.f64 (.f64 (cbrt.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (cbrt.f64 (.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (.f64 (neg.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) 1) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2)))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(neg.f64 (.f64 -1 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))
(neg.f64 (neg.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))
(neg.f64 (.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) -1))
(neg.f64 (neg.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))
(neg.f64 (/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))))
(/.f64 (fma.f64 1/216 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.3b	(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
✓	0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

Compiler

Compiled 55 to 27 computations (50.9% saved)

series32.0ms (0.1%)

Counts

4 → 15

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
1.0ms	u1	@	-inf	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
0.0ms	u1	@	0	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
0.0ms	u2	@	-inf	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
0.0ms	u1	@	inf	(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

Compiler

Compiled 3655 to 2790 computations (23.7% saved)

rewrite84.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

40×	`egg-rr`
37×	`egg-rr`
30×	`egg-rr`
21×	`egg-rr`

Counts

4 → 128

Calls

Call 1

Inputs
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

Outputs
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simplify548.0ms (2%)

Algorithm

1×

egglog

Counts

143 → 143

Calls

Call 1

Inputs
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)))
(.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))
(.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
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(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))) 2) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))))
(.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) 1) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))

Outputs
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 (.f64 1/144 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (pow.f64 u2 4)) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 6) (pow.f64 u2 6))) (.f64 (.f64 (.f64 1/144 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (pow.f64 u2 4)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/36))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 1/36) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(fma.f64 (PI.f64) u2 (*.f64 (PI.f64) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(fma.f64 u2 (PI.f64) (*.f64 (PI.f64) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(if (!=.f64 (+.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)))) 0) (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) u2) 3) (pow.f64 (.f64 (PI.f64) u2) 3)) (+.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) 0) (/.f64 (.f64 2 (pow.f64 (.f64 u2 (PI.f64)) 3)) (pow.f64 (.f64 u2 (PI.f64)) 2)) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (.f64 (PI.f64) u2) 0) (/.f64 (+.f64 (pow.f64 (.f64 (PI.f64) u2) 3) (pow.f64 (.f64 (PI.f64) u2) 3)) (+.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (.f64 u2 (PI.f64)) 0) (/.f64 (.f64 2 (pow.f64 (.f64 u2 (PI.f64)) 3)) (pow.f64 (.f64 u2 (PI.f64)) 2)) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (-.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) 0) (/.f64 (-.f64 (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2)) (.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))) (-.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 0 0) 0 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(+.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 1 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(*.f64 (+.f64 u2 u2) (PI.f64))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 u2) (.f64 (cbrt.f64 (*.f64 u2 u2)) (+.f64 (PI.f64) (PI.f64))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (+.f64 (PI.f64) (PI.f64))) (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4)) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4)) u2) (cbrt.f64 (+.f64 (PI.f64) (PI.f64))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (cbrt.f64 (*.f64 u2 u2)) (+.f64 (PI.f64) (PI.f64))) (cbrt.f64 u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(*.f64 (PI.f64) (+.f64 u2 u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2)) (cbrt.f64 (+.f64 (PI.f64) (PI.f64)))) (cbrt.f64 u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2)) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 2) (.f64 (cbrt.f64 4) (*.f64 (PI.f64) u2)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 (PI.f64) u2)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2)) (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(.f64 1 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(.f64 (.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2)) (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))) 2))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2))) 2) (cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) 1) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 1/4) (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)

eval178.0ms (0.6%)

Compiler: Compiled 12371 to 7760 computations (37.3% saved)

prune67.0ms (0.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	408	9	417
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	410	9	419

Error

Counts

419 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
▶	0.4b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
	0.7b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	1.1b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.6b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 366 to 326 computations (10.9% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)

Compiler

Compiled 60 to 26 computations (56.7% saved)

series35.0ms (0.1%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	-inf	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
1.0ms	u1	@	0	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
1.0ms	u1	@	inf	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
1.0ms	u1	@	-inf	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
1.0ms	u2	@	inf	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)

Compiler

Compiled 4535 to 3310 computations (27% saved)

rewrite85.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

36×	`egg-rr`
28×	`egg-rr`

Counts

2 → 64

Calls

Call 1

Inputs
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))

Outputs
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Outputs

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simplify273.0ms (1%)

Algorithm

1×

egglog

Counts

70 → 83

Calls

Call 1

Inputs
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(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 1/6)) (cbrt.f64 1/36) 1/2)
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(fma.f64 1 1/2 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))
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(.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (/.f64 1 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12))))
(.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 2)))
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(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 1)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) 1) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12)))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 3) 1/3)
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 1)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)) 2))
(.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3))

Outputs
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 (.f64 (PI.f64) (PI.f64)) 4) (.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
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(.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 1)
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (+.f64 1/4 (-.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/216 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) 2) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/12))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8)) (neg.f64 (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12))))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/216 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) 2) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/12))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12)))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/216 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) 2) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/12))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) 1) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/12)))
(/.f64 (fma.f64 (pow.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/216 1/8) (-.f64 (+.f64 (pow.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) 2) 1/4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/12))))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)) 3)
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 3) 1/3)
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 1)
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 3))
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)) 2))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/3)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))

localize32.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

Compiler

Compiled 71 to 49 computations (31% saved)

series55.0ms (0.2%)

Counts

2 → 3

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	inf	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	-inf	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	-inf	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 3115 to 2430 computations (22% saved)

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

60×	`egg-rr`
33×	`egg-rr`

Counts

2 → 93

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs
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Outputs

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simplify578.0ms (2.1%)

Algorithm

1×

egglog

Counts

96 → 114

Calls

Call 1

Inputs
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 1) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/36))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/6))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 1/36) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
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(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 1/6)) (.f64 (cbrt.f64 (cbrt.f64 1/36)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
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(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
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(fma.f64 (cbrt.f64 1/4) (cbrt.f64 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
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(fma.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 1/2)
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(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)
(fma.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) 1/2)
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(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/8) (neg.f64 (+.f64 1/4 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2))))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))

Outputs
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(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3) 1/8) (fma.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -1/2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 1/4))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))
(fma.f64 1/6 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2)

localize54.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
✓	0.3b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))

Compiler

Compiled 98 to 48 computations (51% saved)

series43.0ms (0.2%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
1.0ms	u1	@	0	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
1.0ms	u1	@	-inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
1.0ms	u2	@	-inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
1.0ms	u2	@	inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))

Compiler

Compiled 5255 to 4030 computations (23.3% saved)

rewrite296.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`egg-rr`
79×	`egg-rr`

Counts

2 → 365

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))

(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6)

Outputs

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simplify973.0ms (3.5%)

Algorithm

1×

egglog

Counts

371 → 498

Calls

Call 1

Inputs
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Outputs
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(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 3) 10077696) (.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 2) 46656) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12) 3))))
(/.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (cbrt.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))))) (pow.f64 (cbrt.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12)))) 2))
(/.f64 (+.f64 -6 (.f64 -2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))) -1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 3) 10077696) (.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 2) 46656) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12) 3))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216))) (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 3) 10077696) 1) (.f64 (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 2) 46656) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12) 3)) (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 3) 10077696) (.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))) (-.f64 (+.f64 (pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 3) 2) 46656) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12) 3))))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (.f64 (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))) 1))
(/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (+.f64 36 (fma.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) -12))))
(/.f64 (.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216)) 1) (.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12 -36) (neg.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 2))) 1))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216))) (neg.f64 (+.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12 -36) (neg.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 2)))))
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (-.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12 -36) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 2))))
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)) 3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6) 3) 1/3)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6) 1)
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (+.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12 -36) (neg.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 2)))))
(neg.f64 (/.f64 (fma.f64 8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 216) (-.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 12 -36) (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 2))))
(neg.f64 (+.f64 -6 (.f64 -2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6) 3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)

localize41.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.3b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
✓	0.6b	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
✓	0.6b	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))

Compiler

Compiled 96 to 70 computations (27.1% saved)

series31.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
2.0ms	u1	@	-inf	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
2.0ms	u1	@	inf	(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
1.0ms	u1	@	-inf	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
1.0ms	u1	@	inf	(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)

Compiler

Compiled 2655 to 2420 computations (8.9% saved)

rewrite299.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

203×	`egg-rr`
119×	`egg-rr`

Counts

2 → 322

Calls

Call 1

Inputs
(cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)

Outputs

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simplify602.0ms (2.2%)

Algorithm

1×

egglog

Counts

322 → 399

Calls

Call 1

Inputs
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(.f64 (cbrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) 1/6))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) 1/6)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1)
(/.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(/.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) 2)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(neg.f64 (.f64 -1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(neg.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(cbrt.f64 (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) 2)))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))

Outputs
(if (!=.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (/.f64 1 (/.f64 1 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) -1) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (/.f64 1 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 2))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 2) -1)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(if (!=.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))))) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 2) -1)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (cbrt.f64 1/6) (/.f64 1 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/6)) (/.f64 1 (cbrt.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/36)) 0) (/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (cbrt.f64 1/6))) (/.f64 1 (cbrt.f64 (cbrt.f64 1/36)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/36)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6))) (/.f64 1 (cbrt.f64 (cbrt.f64 1/36)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 1/36)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6))) (/.f64 1 (cbrt.f64 (cbrt.f64 1/36)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 1/6)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (/.f64 1 (cbrt.f64 (sqrt.f64 1/6)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (/.f64 1 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) 0) (/.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (/.f64 1 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 1/6) 0) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 1 (cbrt.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6)) (/.f64 1 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (/.f64 1 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (/.f64 (cbrt.f64 (cbrt.f64 1/6)) (/.f64 1 (cbrt.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) 0) (/.f64 (cbrt.f64 (sqrt.f64 1/6)) (/.f64 1 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) 0) (/.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (/.f64 1 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 1 0) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6)) 0) (/.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 1 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6)))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (/.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (/.f64 1 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 2 0) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 -1 0) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) -1) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 1 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/3)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(if (!=.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) -3)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2) (.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/2))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (+.f64 1/2 1/2))
(+.f64 (.f64 1/2 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 1/2 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (+.f64 1/2 1/2))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2)
(.f64 (/.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) -1) -1)
(neg.f64 (/.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1))
(.f64 (.f64 -1 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (.f64 -1 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) 2)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) -1) (.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) -1))
(pow.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) 2)
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(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 1/6 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 1/6))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (cbrt.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (pow.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))
(cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))
(.f64 (cbrt.f64 (cbrt.f64 1/6)) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))
(cbrt.f64 (.f64 (cbrt.f64 1/6) (.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) 1/6))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) 1/6)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6)) (cbrt.f64 (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) (.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (neg.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1)
(/.f64 (.f64 (neg.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)
(/.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) 2)
(/.f64 (.f64 1/6 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)) 2)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 (cbrt.f64 (.f64 1/36 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(neg.f64 (.f64 -1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(neg.f64 (.f64 (neg.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(neg.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1))
(neg.f64 (.f64 (neg.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(cbrt.f64 (.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (pow.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) 2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))

localize87.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
✓	0.5b	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6))

Compiler

Compiled 96 to 72 computations (25% saved)

series25.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6))
2.0ms	u1	@	-inf	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6))
1.0ms	u1	@	inf	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6))
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
0.0ms	u1	@	0	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

Compiler

Compiled 1135 to 1055 computations (7% saved)

rewrite204.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

125×	`egg-rr`
87×	`egg-rr`

Counts

2 → 212

Calls

Call 1

Inputs
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))

Outputs

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simplify482.0ms (1.7%)

Algorithm

1×

egglog

Counts

212 → 273

Calls

Call 1

Inputs
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(.f64 (neg.f64 (neg.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/6)))
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(.f64 (sqrt.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1))))
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(.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 1/6)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
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(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
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(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 1)
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(/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (neg.f64 (sqrt.f64 6)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 1/6)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 2) 1/2)
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(/.f64 (.f64 (cbrt.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 6)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 1)
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(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 216)))

Outputs
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(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
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(.f64 1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (.f64 (cbrt.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (cbrt.f64 1/6)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (cbrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 1/6))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (cbrt.f64 1/6)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6))) 2))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 1/6)))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))) (cbrt.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 (sqrt.f64 1/6))) (cbrt.f64 (sqrt.f64 (sqrt.f64 1/6)))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/6))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 1/6))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (neg.f64 -1) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/6)))))
(cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (sqrt.f64 1/6) (neg.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 (sqrt.f64 6))) (sqrt.f64 (sqrt.f64 6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 6))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (neg.f64 (sqrt.f64 6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 6))
(/.f64 (.f64 (neg.f64 (sqrt.f64 1/6)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 2) 1/2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 6))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 1/6))) (cbrt.f64 6))
(/.f64 (.f64 (cbrt.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 6)))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) 2)
(neg.f64 (.f64 (neg.f64 (sqrt.f64 1/6)) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))
(cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 216)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 216)))

eval1.4s (5.2%)

Compiler: Compiled 58585 to 40090 computations (31.6% saved)

prune586.0ms (2.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1732	5	1737
Fresh	2	2	4
Picked	0	1	1
Done	2	2	4
Total	1736	10	1746

Error

Counts

1746 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)
▶	0.4b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
	0.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	1.1b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.6b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 345 to 307 computations (11% saved)

localize31.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))))
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.3b	(*.f64 (+.f64 u2 u2) (PI.f64))
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)

Compiler

Compiled 60 to 26 computations (56.7% saved)

series38.0ms (0.1%)

Counts

3 → 18

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)
0.0ms	u2	@	0	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)
0.0ms	u2	@	0	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))))
0.0ms	u1	@	-inf	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))))
0.0ms	u2	@	-inf	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)

Compiler

Compiled 4835 to 3430 computations (29.1% saved)

rewrite89.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

42×	`egg-rr`
36×	`egg-rr`
28×	`egg-rr`

Counts

3 → 106

Calls

Call 1

Inputs

(fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)

(*.f64 (+.f64 u2 u2) (PI.f64))

(*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/2) (cbrt.f64 1/4) (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 1/4) (cbrt.f64 1/2) (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 1/2) (sqrt.f64 1/2) (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6)) (cbrt.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/6 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (sqrt.f64 1/6)) (sqrt.f64 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 1/6)) (cbrt.f64 1/36) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 1 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/2 1 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1/2 0) (fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) (fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (fma.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1/2) 0) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2) -1/4) (fma.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1/2)) (fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (-.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6)) 0) (/.f64 (-.f64 1/4 (pow.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2)) (-.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))) (fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 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simplify490.0ms (1.8%)

Algorithm

1×

egglog

Counts

124 → 129

Calls

Call 1

Inputs
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(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
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(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2) 3))
(fma.f64 (PI.f64) u2 (*.f64 u2 (PI.f64)))
(fma.f64 u2 (PI.f64) (*.f64 u2 (PI.f64)))
(if (!=.f64 (-.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) 0) (/.f64 (-.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))) (-.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (.f64 u2 (PI.f64)) 0) (/.f64 (+.f64 (pow.f64 (.f64 u2 (PI.f64)) 3) (pow.f64 (.f64 u2 (PI.f64)) 3)) (+.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (-.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(if (!=.f64 (+.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (-.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))))) 0) (/.f64 (+.f64 (pow.f64 (.f64 u2 (PI.f64)) 3) (pow.f64 (.f64 u2 (PI.f64)) 3)) (+.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (-.f64 (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))) (.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))))) (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(+.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))
(*.f64 (+.f64 u2 u2) (PI.f64))
(*.f64 (PI.f64) (+.f64 u2 u2))
(.f64 (cbrt.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2)) (cbrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))) (cbrt.f64 (.f64 4 (.f64 u2 u2))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 u2 u2)))
(.f64 (cbrt.f64 (+.f64 u2 u2)) (.f64 (cbrt.f64 (.f64 4 (.f64 u2 u2))) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (.f64 4 (.f64 u2 u2))) (PI.f64)) (cbrt.f64 (+.f64 u2 u2)))
(.f64 (cbrt.f64 (.f64 4 (.f64 u2 u2))) (.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))))
(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(.f64 (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 u2 u2)) (cbrt.f64 (PI.f64)))
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) 1) u2)
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (cbrt.f64 (*.f64 u2 u2))) (cbrt.f64 u2))
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 u2 u2))) (cbrt.f64 (.f64 8 u2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 u2)) (.f64 2 (cbrt.f64 (.f64 u2 u2))))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))) (cbrt.f64 (+.f64 u2 u2))) (cbrt.f64 (+.f64 u2 u2)))
(.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))) 1) (cbrt.f64 (.f64 4 (*.f64 u2 u2))))
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 u2 u2))))
(.f64 (cbrt.f64 (.f64 8 u2)) (.f64 (cbrt.f64 (.f64 u2 u2)) (PI.f64)))
(.f64 (cbrt.f64 u2) (.f64 (.f64 2 (cbrt.f64 (.f64 u2 u2))) (PI.f64)))
(.f64 (.f64 (+.f64 u2 u2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 u2 u2) (cbrt.f64 (PI.f64))))
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (cbrt.f64 u2)) (cbrt.f64 (*.f64 u2 u2)))
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 8 u2))) (cbrt.f64 (.f64 u2 u2)))
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 u2 u2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 u2 u2))) 2) 2))
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (cbrt.f64 (.f64 8 u2)) (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 u2 (PI.f64)) 2)
(.f64 1 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 3) 1/3)
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)) 2))
(.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3))

Outputs
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (fma.f64 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1/12 (fma.f64 (.f64 1/144 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
(+.f64 1/2 (fma.f64 -1/12 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 (.f64 1/144 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)) (.f64 (.f64 -1/4320 (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 6) (pow.f64 u2 6))) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(fma.f64 -1/2 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/24 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 u2 4))))))
(fma.f64 -1/2 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 (.f64 1/24 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 -1/720 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (.f64 2 (PI.f64)) 6) (pow.f64 u2 6)))) (+.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/24 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(fma.f64 -1/2 (.f64 (pow.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (fma.f64 -1/720 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 6) (pow.f64 u2 6))) (fma.f64 (.f64 1/24 (pow.f64 (+.f64 (PI.f64) (PI.f64)) 4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(fma.f64 (cbrt.f64 1/2) (cbrt.f64 1/4) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (cbrt.f64 1/4) (cbrt.f64 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (sqrt.f64 1/2) (sqrt.f64 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6))
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
(fma.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6 1/2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 u2 (+.f64 (PI.f64) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
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(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64)))) (.f64 (cbrt.f64 (*.f64 (PI.f64) (PI.f64))) (+.f64 u2 u2))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (.f64 8 u2)) (.f64 (cbrt.f64 (.f64 u2 u2)) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 u2) (.f64 (.f64 2 (cbrt.f64 (.f64 u2 u2))) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (+.f64 u2 u2) (cbrt.f64 (PI.f64))) (cbrt.f64 (*.f64 (PI.f64) (PI.f64))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (.f64 (PI.f64) (PI.f64))) (*.f64 (+.f64 u2 u2) (cbrt.f64 (PI.f64))))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (cbrt.f64 u2)) (cbrt.f64 (*.f64 u2 u2)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 8 u2))) (cbrt.f64 (.f64 u2 u2)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (*.f64 (PI.f64) (cbrt.f64 (+.f64 u2 u2))) (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 u2 u2))) 2)) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 u2 u2))) 2) 2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (cbrt.f64 (.f64 u2 u2)) (.f64 (cbrt.f64 (.f64 8 u2)) (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 u2 (PI.f64)) 2)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 1 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(/.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 3)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 3) 1/3)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 1)
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2) 3))
(*.f64 (+.f64 (PI.f64) (PI.f64)) u2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) (.f64 (.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (pow.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)) 2))
(.f64 (.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3) 1/3)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1)
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 3))
(.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))

localize46.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)

Compiler

Compiled 71 to 49 computations (31% saved)

series28.0ms (0.1%)

Counts

2 → 3

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	0	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
0.0ms	u1	@	0	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u2	@	-inf	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 3115 to 2430 computations (22% saved)

rewrite141.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

114×	`egg-rr`
97×	`egg-rr`

Counts

2 → 211

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Outputs

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simplify379.0ms (1.4%)

Algorithm

1×

egglog

Counts

214 → 291

Calls

Call 1

Inputs
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(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))) (.f64 -1/4320 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 (*.f64 2 (PI.f64)) 6) (pow.f64 u2 6))))))))
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(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
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(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 0) (/.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 -6 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
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(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
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Outputs
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(+.f64 1/2 (+.f64 (.f64 -1/12 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 2 (PI.f64)) 2)))) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/144 (.f64 (pow.f64 (.f64 2 (PI.f64)) 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 u2 4)))))))
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(pow.f64 (cbrt.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)) 3)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 1)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(pow.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3) 1/3)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6) 2)) (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 12) -1/4))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 3) 1/8) (+.f64 (neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)))) 2)) (fma.f64 (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/12) -1/4))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2) 3))
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)

localize35.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(*.f64 (+.f64 u2 u2) (PI.f64))
✓	0.3b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))

Compiler

Compiled 98 to 48 computations (51% saved)

series39.0ms (0.1%)

Counts

2 → 6

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
0.0ms	u2	@	0	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
0.0ms	u2	@	0	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6)
0.0ms	u1	@	inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
0.0ms	u1	@	-inf	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))

Compiler

Compiled 5255 to 4030 computations (23.3% saved)

rewrite522.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`egg-rr`
79×	`egg-rr`

Counts

2 → 365

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))

(+.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6)

Outputs

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simplify971.0ms (3.5%)

Algorithm

1×

egglog

Counts

371 → 498

Calls

Call 1

Inputs
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Outputs
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(neg.f64 (+.f64 -6 (.f64 -2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))))))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6) 3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 2) 6)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
✓	0.5b	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
✓	0.7b	(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)

Compiler

Compiled 97 to 71 computations (26.8% saved)

series34.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
2.0ms	u1	@	0	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
2.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
1.0ms	u1	@	0	(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
1.0ms	u1	@	-inf	(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)

Compiler

Compiled 2715 to 2400 computations (11.6% saved)

rewrite329.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

441×	`egg-rr`
127×	`egg-rr`

Counts

2 → 568

Calls

Call 1

Inputs
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))

Outputs

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simplify2.0s (7.1%)

Algorithm

1×

egglog

Counts

568 → 691

Calls

Call 1

Inputs
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(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/36))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6))
(.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/6))
(.f64 (cbrt.f64 1/36) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/6)) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6))) (cbrt.f64 1/6))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 1/6)))
(.f64 (sqrt.f64 (sqrt.f64 1/6)) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 2)) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))
(.f64 (cbrt.f64 1/6) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/6)))
(.f64 (cbrt.f64 1/6) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 2/3))) (.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/6)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (sqrt.f64 (sqrt.f64 1/6)))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 2) (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))))
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(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/36)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (cbrt.f64 1/6)))
(.f64 (.f64 (cbrt.f64 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (pow.f64 1/36 2/3)) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 (cbrt.f64 1/36))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (cbrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
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(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
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(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/6)) (cbrt.f64 1/6)) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 1/6))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) -1)
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(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/3) 3)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))

Outputs
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(if (!=.f64 (.f64 (cbrt.f64 1/36) (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))) 0) (/.f64 (cbrt.f64 1/6) (/.f64 1 (.f64 (cbrt.f64 1/36) (.f64 1/36 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))))) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(if (!=.f64 (.f64 (.f64 (cbrt.f64 1/36) 1/36) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 0) (/.f64 (cbrt.f64 1/6) (/.f64 1 (.f64 (.f64 (cbrt.f64 1/36) 1/36) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(if (!=.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/6)) 0) (/.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (/.f64 1 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/6)))) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3))
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(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (*.f64 1/3 3))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 1/6)))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 1/6)))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

localize73.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6)
✓	0.5b	(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
✓	0.7b	(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)

Compiler

Compiled 96 to 70 computations (27.1% saved)

series107.0ms (0.4%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	-inf	(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
1.0ms	u1	@	0	(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
1.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
1.0ms	u1	@	-inf	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6)
1.0ms	u1	@	inf	(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6)

Compiler

Compiled 3795 to 3320 computations (12.5% saved)

rewrite241.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

111×	`egg-rr`
93×	`egg-rr`
67×	`egg-rr`

Counts

3 → 271

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6)

Outputs

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3))))))

simplify423.0ms (1.5%)

Algorithm

1×

egglog

Counts

271 → 320

Calls

Call 1

Inputs
(if (!=.f64 1 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 -1 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 2 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) -1)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) -2)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3) -1/3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/2) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/2))
(+.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))
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(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) -1) -1)
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(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
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(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4)) 2))
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(.f64 (.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (sqrt.f64 1/6)) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (pow.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) 1/6))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3/2) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2)) 1/6))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) 1/6))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) 1/6))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(.f64 (cbrt.f64 (.f64 1/216 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 1/216 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) (cbrt.f64 (.f64 1/216 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2) 1/216)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/216 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (.f64 1/6 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) -1)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 2)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) 2)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/3) 3)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))

Outputs
(if (!=.f64 1 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 -1 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 2 0) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) -1)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) 0) (/.f64 1 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) -2)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) 0) (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) -2) -1) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3) -1/3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/2) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(+.f64 (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (.f64 1/2 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2))
(.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3/2) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(.f64 (/.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) -1) -1)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (.f64 -1 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4)) 2)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4)) 2))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4)) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4)) 2)))
(.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 1 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 2))
(.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3/2) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
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(.f64 (.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (sqrt.f64 1/6)) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)) (cbrt.f64 (.f64 1/36 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (pow.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) 1/6))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3/2) 1/6))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/4) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1/6)
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2)) 1/6))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2))) 1/6)
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) 1/6))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))) 1/6)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6))
(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) 1/6))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1/6))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 (cbrt.f64 (.f64 1/216 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 1/216 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) (cbrt.f64 (.f64 1/216 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2) 1/216)))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2))) 1/6)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 1/216 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)))))
(cbrt.f64 (.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 (.f64 1/6 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2)))
(.f64 1/6 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4)) 2))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) -1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/3) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

eval2.2s (8.1%)

Compiler: Compiled 74110 to 51912 computations (30% saved)

prune890.0ms (3.2%)

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	2234	5	2239
Fresh	1	1	2
Picked	0	1	1
Done	1	6	7
Total	2236	13	2249

Error

Counts

2249 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)
✓	0.4b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
▶	0.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	1.1b	(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.9b	(+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/3) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.6b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (if (!=.f64 (.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.6b	(+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 421 to 373 computations (11.4% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3) 3)
✓	0.3b	(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6)
✓	0.4b	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3)

Compiler

Compiled 101 to 75 computations (25.7% saved)

series19.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3)
0.0ms	u1	@	-inf	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3)
0.0ms	u1	@	inf	(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3)
0.0ms	u1	@	-inf	(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6)
0.0ms	u1	@	inf	(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6)

Compiler

Compiled 1695 to 1460 computations (13.9% saved)

rewrite169.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

160×	`egg-rr`
156×	`egg-rr`
154×	`egg-rr`

Counts

3 → 470

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3)
(.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6)
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/3) 3)

Outputs

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simplify794.0ms (2.9%)

Algorithm

1×

egglog

Counts

470 → 600

Calls

Call 1

Inputs
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(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (cbrt.f64 1/3)) (.f64 (sqrt.f64 1/3) (cbrt.f64 9)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) -3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) 3) (cbrt.f64 9))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2))) (cbrt.f64 9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 3) 9)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 3))) (cbrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)) 1) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 3) (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 1/3))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3)) 1/3) (sqrt.f64 1/3))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)) (cbrt.f64 (/.f64 1/27 9)))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 3)) (sqrt.f64 1/27))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9))) (neg.f64 (cbrt.f64 9)))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 3) (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 1/9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) 1/3)
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/9)
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 3))) (cbrt.f64 1/3))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)
(pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 1/2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 2 2))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2)
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))

Outputs
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1/3 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1/3 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (pow.f64 (/.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 3 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 0) (/.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)) (/.f64 1 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) 0) (/.f64 (cbrt.f64 3) (/.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) 0) (/.f64 (sqrt.f64 3) (/.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 0) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
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(if (!=.f64 (sqrt.f64 3) 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 -3 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 3) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1/3 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 0) (/.f64 1 (/.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
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(if (!=.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)) 0) (/.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 3)) (/.f64 1 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 (cbrt.f64 9) 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 9 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
(if (!=.f64 1/3 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))
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(-.f64 0 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -3))
(-.f64 (/.f64 0 -1/3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -3))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2)))
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(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 2)
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(neg.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)) 1))
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(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -3))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 3)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 9)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 9) (cbrt.f64 3)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 3)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (sqrt.f64 3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 -3 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -3))
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 3) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (sqrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (sqrt.f64 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 9) (cbrt.f64 3)))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))) 2))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3))) 2))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 3))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 2)
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(.f64 (.f64 3 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)
(.f64 (.f64 3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(.f64 (.f64 3 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3)) (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) 3))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 3 3)) 1/3)
(.f64 (.f64 3 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)))) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2)) (sqrt.f64 1/3)))
(.f64 3 (.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2))) (sqrt.f64 1/3)))
(.f64 (.f64 3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3))) (sqrt.f64 3))
(.f64 (.f64 3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(.f64 (.f64 3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) -1/3)
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 -3 3)) -1/3)
(.f64 (.f64 3 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3)) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
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(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) -3)
(.f64 (/.f64 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3) 9)
(/.f64 (.f64 (.f64 9 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(.f64 (/.f64 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1) -3)
(.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (neg.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 1/9))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 9) (cbrt.f64 1/9)))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) (cbrt.f64 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 1/3) (cbrt.f64 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/3)
(.f64 3 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(.f64 3 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 3 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(.f64 3 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 1/3) (cbrt.f64 3)))
(.f64 (cbrt.f64 1/9) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 9) (cbrt.f64 1/9)))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) 1) (cbrt.f64 1/9))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 9) (cbrt.f64 1/9)))
(.f64 -1 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(.f64 (cbrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 1/3) (cbrt.f64 3)))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (cbrt.f64 1/3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 1/3) (cbrt.f64 3)))
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 9) (cbrt.f64 1/3))) (cbrt.f64 1/3))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -3) -1/3)
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 -1/3 -3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2))) (sqrt.f64 3))
(/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 2))) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3)) 1) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) 3) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (sqrt.f64 1/3) 3)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -1/3) -1/3)
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) 1) -1/3)
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 -1/3 -3))
(/.f64 (.f64 -1 (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) -1/3)
(/.f64 (neg.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -1/3)
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2)) (sqrt.f64 1/3))) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (sqrt.f64 1/3) 3)) (sqrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) (sqrt.f64 3)) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) (*.f64 (neg.f64 (sqrt.f64 3)) (sqrt.f64 3)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 27) 1/27)
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/27 27))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) 1) (.f64 (cbrt.f64 1/9) 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (*.f64 (cbrt.f64 1/9) 3))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) 3) (.f64 (sqrt.f64 1/3) 9))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (.f64 (sqrt.f64 1/3) 9))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) 3) (.f64 (cbrt.f64 1/9) 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 3) 3)) (.f64 (cbrt.f64 1/9) 9))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 1/3)) (*.f64 -1/3 (sqrt.f64 3)))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -1/3)) (/.f64 (sqrt.f64 1/3) (sqrt.f64 3)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (sqrt.f64 1/3)) (.f64 (cbrt.f64 1/9) (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 3) (sqrt.f64 1/3))) (.f64 (sqrt.f64 3) (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) -1) (.f64 (sqrt.f64 1/3) -3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 (sqrt.f64 3))) (*.f64 -3 (sqrt.f64 1/3)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) -1) (.f64 (cbrt.f64 1/9) -3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 (cbrt.f64 3))) (*.f64 -3 (cbrt.f64 1/9)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/3)) (*.f64 -1/3 (cbrt.f64 9)))
(.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (neg.f64 -1/3)) (/.f64 (cbrt.f64 1/3) (cbrt.f64 9)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (cbrt.f64 1/3)) (.f64 (sqrt.f64 1/3) (cbrt.f64 9)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (cbrt.f64 1/3)) (.f64 (cbrt.f64 9) (sqrt.f64 1/3)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (neg.f64 -1))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) -3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) 3) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (cbrt.f64 1/3) 3)) (cbrt.f64 9))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2))) (cbrt.f64 9))
(/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 2))) (cbrt.f64 9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 3) 9)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 3 3)) 9)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (.f64 (neg.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 3))) (cbrt.f64 -1/3))
(/.f64 (neg.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3))) (cbrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 -3))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)) 1) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 3) (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 1/3))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (.f64 3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)) 9)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 3 3)) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3)) 1/3) (sqrt.f64 1/3))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 3))) (sqrt.f64 1/3))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)) (cbrt.f64 (/.f64 1/27 9)))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9)) (cbrt.f64 1/243))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 3)) (sqrt.f64 1/27))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) (sqrt.f64 1/3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) (cbrt.f64 3)) (neg.f64 (cbrt.f64 9)))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9))) (neg.f64 (cbrt.f64 9)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 9))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (cbrt.f64 3) 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/9))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 3) (.f64 1/3 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (cbrt.f64 3) 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (cbrt.f64 3) 1/3) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/9))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 3)) (*.f64 (cbrt.f64 3) (cbrt.f64 (sqrt.f64 3))))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 9)) (cbrt.f64 1/9))
(/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 1/9) (cbrt.f64 9)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(/.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)) 1/3)
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/9)
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2) (cbrt.f64 3))) (cbrt.f64 1/3))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 3)) (cbrt.f64 1/3))
(/.f64 (/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/9)) (cbrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) (cbrt.f64 1/3))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 2 1/2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 2 2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/3)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2) 1/2)
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))

localize111.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
	0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
✓	0.4b	(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)

Compiler

Compiled 101 to 75 computations (25.7% saved)

series41.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	u1	@	-inf	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
1.0ms	u1	@	inf	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
1.0ms	u1	@	0	(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
0.0ms	u1	@	0	(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
0.0ms	u1	@	-inf	(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)

Compiler

Compiled 1215 to 1060 computations (12.8% saved)

rewrite189.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

207×	`egg-rr`
185×	`egg-rr`

Counts

2 → 392

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)

Outputs

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simplify673.0ms (2.4%)

Algorithm

1×

egglog

Counts

392 → 535

Calls

Call 1

Inputs
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(.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18) -1)
(.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 3)) (*.f64 (cbrt.f64 1/3) 1/3))
(.f64 (cbrt.f64 3) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) 1/3))
(.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (.f64 (sqrt.f64 1/6) 1/3))
(.f64 (cbrt.f64 (cbrt.f64 1/3)) (.f64 (cbrt.f64 (cbrt.f64 1/9)) (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))))
(.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (cbrt.f64 (sqrt.f64 1/3)) (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) 3) 3)
(.f64 (.f64 1/2 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/9)
(.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -3) -1/6)
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2))))
(.f64 (neg.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (neg.f64 (neg.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) 2)))))
(.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))))
(.f64 (.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 1/3)) (.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 1/3)))
(.f64 (neg.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 -18))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) (/.f64 1 (cbrt.f64 9)))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18)) (sqrt.f64 1/3))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 1/2 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (sqrt.f64 27))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (*.f64 -3 -1))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3)))) (neg.f64 (cbrt.f64 9)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 18)
(/.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -18)
(/.f64 (.f64 -1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -3)
(/.f64 (.f64 (sqrt.f64 (/.f64 1/36 3)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 27))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2))) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 6)
(/.f64 (.f64 (cbrt.f64 (/.f64 1/216 3)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) 1/6) (sqrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2))) (cbrt.f64 9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) 1/6) (cbrt.f64 9))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 18))
(/.f64 (.f64 (neg.f64 (.f64 1/2 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1/3) -3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) 1) (cbrt.f64 9))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) (sqrt.f64 (sqrt.f64 3))) (sqrt.f64 (sqrt.f64 3)))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -18) (/.f64 3 -3))
(/.f64 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 3 1/18))
(/.f64 (neg.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (*.f64 3 -3))
(/.f64 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (*.f64 3 18))
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) (*.f64 (cbrt.f64 18) (cbrt.f64 9)))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (.f64 (cbrt.f64 9) 1/3))
(/.f64 (.f64 -1 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 -3 18))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 3) 18))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) 18))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (*.f64 -3 (sqrt.f64 1/3)))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (*.f64 (cbrt.f64 9) (sqrt.f64 1/3)))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (*.f64 -3 (cbrt.f64 1/9)))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (*.f64 (sqrt.f64 3) (cbrt.f64 1/9)))
(/.f64 (.f64 -1 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 -3 3))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) 3))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 -1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 3) -1))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 -1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) -1))
(/.f64 (.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (*.f64 (sqrt.f64 3) -1/3))
(/.f64 (.f64 (cbrt.f64 1/3) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (*.f64 (cbrt.f64 9) -1/3))
(/.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (/.f64 3 1/36)))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1)
(/.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -18) -1)
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18)) 1/3)
(/.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) -1/3)
(/.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 -1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1) 3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) 1/3) 1/3)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (cbrt.f64 (.f64 -1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18) 1/3) -1/3)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) 1/3) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) 1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2)) 1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 1/6 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9))) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 9))) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) (cbrt.f64 (cbrt.f64 9))) (pow.f64 (cbrt.f64 (cbrt.f64 9)) 2))
(/.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 3)) (sqrt.f64 27))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 1/9)) (cbrt.f64 (/.f64 27 1/9)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 3) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -18))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 3))

Outputs
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 1/6 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (/.f64 1 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (/.f64 1/3 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 0) (/.f64 1 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 1/3 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 3 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 1/3) 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (cbrt.f64 9) 0) (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3)) (/.f64 1 (cbrt.f64 9))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (cbrt.f64 9) 0) (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/18 (cbrt.f64 3))) (/.f64 1 (cbrt.f64 9))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (cbrt.f64 1/6) (/.f64 1 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (/.f64 1 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
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(if (!=.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (sqrt.f64 3)) 0) (/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (sqrt.f64 3)))) (/.f64 1 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (sqrt.f64 3)))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) 0) (/.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 0) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (/.f64 1 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
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(/.f64 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (*.f64 3 18))
(/.f64 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 54)
(/.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) (*.f64 (cbrt.f64 18) (cbrt.f64 9)))
(/.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) (cbrt.f64 (*.f64 18 9)))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (.f64 (cbrt.f64 9) 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/3)) 1/18) (.f64 1/3 (cbrt.f64 9)))
(/.f64 (.f64 -1 (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 -3 18))
(/.f64 (.f64 (neg.f64 3) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -54)
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 3) 18))
(.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 3)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 3 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) 18))
(.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 9)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (*.f64 -3 (sqrt.f64 1/3)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (neg.f64 (sqrt.f64 1/3))) (.f64 -3 (sqrt.f64 1/3)))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (*.f64 (cbrt.f64 9) (sqrt.f64 1/3)))
(.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 9)) (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (sqrt.f64 1/3))) (sqrt.f64 1/3)))
(/.f64 (.f64 -1 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (*.f64 -3 (cbrt.f64 1/9)))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (neg.f64 (cbrt.f64 3))) (.f64 -3 (cbrt.f64 1/9)))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (*.f64 (sqrt.f64 3) (cbrt.f64 1/9)))
(.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 3)) (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/18 (cbrt.f64 3))) (cbrt.f64 1/9)))
(/.f64 (.f64 -1 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 -3 3))
(/.f64 (.f64 (neg.f64 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1)))) -9)
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) 3))
(/.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/3)) (.f64 (cbrt.f64 9) 3))
(/.f64 (.f64 (sqrt.f64 1/3) (.f64 -1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 3) -1))
(.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 3)) (.f64 (neg.f64 -1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (cbrt.f64 1/3) (.f64 -1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 9) -1))
(.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 9)) (.f64 (neg.f64 -1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (.f64 (sqrt.f64 1/3) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (*.f64 (sqrt.f64 3) -1/3))
(.f64 (/.f64 (sqrt.f64 1/3) (sqrt.f64 3)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(/.f64 (.f64 (cbrt.f64 1/3) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (*.f64 (cbrt.f64 9) -1/3))
(.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 9)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(/.f64 (.f64 (sqrt.f64 1/3) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (/.f64 3 1/36)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/3)) (sqrt.f64 108))
(/.f64 (neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (neg.f64 (sqrt.f64 3)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 1/3))) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/648)) (cbrt.f64 9))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 3 1/6))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 1/3))) (sqrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)
(/.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3))) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/54) (cbrt.f64 3)) (cbrt.f64 1/9))
(/.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -18) -1)
(neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -1/18))
(/.f64 (.f64 1/3 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18)) 1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 1/3)
(/.f64 (.f64 1/3 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) -1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 6)
(/.f64 (.f64 1/3 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3))) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 1/3) 1/3)) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 -1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) -1) 3)
(/.f64 (.f64 (neg.f64 -1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) 1/3) 1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 1/3)
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))) (cbrt.f64 3))
(/.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) 2))) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2)) (cbrt.f64 (.f64 -1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 -3))
(/.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 2) (.f64 -1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) (cbrt.f64 -3))
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3)) 1/3) (cbrt.f64 1/9))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/54) (cbrt.f64 3)) (cbrt.f64 1/9))
(/.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18) 1/3) -1/3)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 6)
(/.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) 1/3) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 1/3) 1/3)) (sqrt.f64 1/3))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/18) (cbrt.f64 3)) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 1/18 (cbrt.f64 3))) (cbrt.f64 3))
(/.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) 1/3)) (cbrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) 1/3) (cbrt.f64 1/3))
(/.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -18)) (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2)) 1/3)) (cbrt.f64 -1/3))
(/.f64 (.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -1/18) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) 1/3) (cbrt.f64 -1/3))
(/.f64 (.f64 1/6 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 9))) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 9)) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 9))) (cbrt.f64 3))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/1944)) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (/.f64 1/216 3))) (cbrt.f64 (cbrt.f64 9))) (pow.f64 (cbrt.f64 (cbrt.f64 9)) 2))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/648)) (cbrt.f64 (cbrt.f64 9))) (pow.f64 (cbrt.f64 (cbrt.f64 9)) 2))
(/.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 9)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 3)) (sqrt.f64 27))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 3))) (sqrt.f64 27))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 1/9)) (cbrt.f64 (/.f64 27 1/9)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (*.f64 (cbrt.f64 243) (cbrt.f64 1/9)))
(/.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (sqrt.f64 1/3)) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 1/6 (sqrt.f64 1/3))) (cbrt.f64 (sqrt.f64 3))) (cbrt.f64 3))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)) 3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 3) 1/3)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)
(neg.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) -18))
(neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) -1/18))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 3))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18)

localize63.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
✓	0.3b	(/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.3b	(.f64 (if (!=.f64 (.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6)

Compiler

Compiled 159 to 113 computations (28.9% saved)

series69.0ms (0.3%)

Counts

3 → 0

Calls

9 calls:

Time	Variable		Point	Expression
16.0ms	u1	@	inf	(/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
15.0ms	u1	@	-inf	(/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
15.0ms	u1	@	0	(/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
1.0ms	u1	@	-inf	(.f64 (if (!=.f64 (.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6)
1.0ms	u1	@	0	(.f64 (if (!=.f64 (.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6)

Compiler

Compiled 2255 to 1820 computations (19.3% saved)

rewrite286.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

105×	`egg-rr`
99×	`egg-rr`
85×	`egg-rr`

Counts

3 → 289

Calls

Call 1

Inputs

(*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6)

(/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))

(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6) 0) (pow.f64 (/.f64 1 (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6)) -1) (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (pow.f64 (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/6) 3) -1/3)) (*.f64 (if (!=.f64 (*.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 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simplify634.0ms (2.3%)

Algorithm

1×

egglog

Counts

289 → 401

Calls

Call 1

Inputs
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(.f64 -1 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))
(.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) -1)
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(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 1)
(.f64 -1 (-.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 0))
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(.f64 (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
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(/.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1)
(/.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) -1)
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(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 3)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
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(cbrt.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 3))

Outputs
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(+.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 1/2) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 1/2))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) (+.f64 1/2 1/2))
(+.f64 (.f64 0 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(+.f64 (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) (+.f64 1/2 1/2))
(+.f64 0 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(+.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 0)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1/3) 1/3)
(+.f64 (-.f64 1/3 1/3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2) 2)
(+.f64 (-.f64 2 2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1/2) 1/2)
(+.f64 (-.f64 1/2 1/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 6) 6)
(+.f64 (-.f64 6 6) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 3) 3)
(+.f64 (-.f64 3 3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(+.f64 (-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 3/2) 3/2)
(+.f64 (-.f64 3/2 3/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 1 (-.f64 1 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 1 1) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 9 (-.f64 9 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 9 9) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 4 (-.f64 4 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 4 4) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 1 (+.f64 1 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 1 1) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 9 (+.f64 9 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 9 9) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 4 (+.f64 4 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 4 4) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 0)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(-.f64 0 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(-.f64 1/3 (-.f64 1/3 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 1/3 1/3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 2 (-.f64 2 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 2 2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 1/2 (-.f64 1/2 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 1/2 1/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 6 (-.f64 6 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 6 6) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 3 (-.f64 3 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 3 3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 3/2 (-.f64 3/2 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(+.f64 (-.f64 3/2 3/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 1/3 (+.f64 1/3 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 1/3 1/3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 2 (+.f64 2 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 2 2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 1/2 (+.f64 1/2 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 1/2 1/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 6 (+.f64 6 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 6 6) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 3 (+.f64 3 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 3 3) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(-.f64 3/2 (+.f64 3/2 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(+.f64 (-.f64 3/2 3/2) (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))
(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))) (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))) 2))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2))))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 2)))
(.f64 -1 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) -1)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2)) (cbrt.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2))))
(.f64 (cbrt.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))) (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 2))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 1)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 -1 (-.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 0))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (neg.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))) (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2)))))
(cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2))))
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2))) (neg.f64 (neg.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2))))))
(cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 2))))
(.f64 (+.f64 0 (-.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) 0)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (+.f64 0 (+.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (.f64 0 (cbrt.f64 (neg.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)))))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) 2) (-.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 0))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 2) 2)
(/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2) 2) 2)
(/.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(/.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) -1)
(pow.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 3) 1/3)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 1)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 3)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(neg.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)) 0))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(neg.f64 (neg.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) -1/2) 3))
(pow.f64 (*.f64 -2 (log.f64 u1)) -1/2)

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)
✓	0.5b	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216))
	0.7b	(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3)

Compiler

Compiled 97 to 71 computations (26.8% saved)

series31.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	0	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216))
1.0ms	u1	@	-inf	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216))
1.0ms	u1	@	inf	(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216))
1.0ms	u1	@	0	(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)
1.0ms	u1	@	inf	(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)

Compiler

Compiled 2715 to 2400 computations (11.6% saved)

rewrite154.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

112×	`egg-rr`
81×	`egg-rr`

Counts

2 → 193

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 1 0) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 2 0) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 -1 0) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) 0) (/.f64 1 (pow.f64 (*.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) -1/3)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 0) (/.f64 1 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) -1)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x if (!=.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) -3)) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2) (*.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (pow.f64 (*.f64 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simplify1.2s (4.2%)

Algorithm

1×

egglog

Counts

193 → 228

Calls

Call 1

Inputs
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 2 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 0) (/.f64 1 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) -1/3)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) -1)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) -3)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)))
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(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (cbrt.f64 1/216))) (.f64 (cbrt.f64 (cbrt.f64 1/46656)) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (cbrt.f64 1/216)))) (cbrt.f64 (cbrt.f64 1/46656)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)) (sqrt.f64 1/216))
(.f64 (sqrt.f64 1/216) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)))
(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) 2) 2)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (/.f64 1 1/216))
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1)
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)) (/.f64 1 (sqrt.f64 1/216)))
(/.f64 (.f64 (cbrt.f64 1/46656) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (/.f64 1 (cbrt.f64 1/216)))
(/.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)) -1)
(pow.f64 (.f64 1/10077696 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)) 1/3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 3)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 1/216)) 2)
(neg.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216)))
(neg.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) -1))
(cbrt.f64 (.f64 1/10077696 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2) 3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))

Outputs
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 1 0) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(if (!=.f64 2 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 2 0) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 -1 0) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(if (!=.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 0) (/.f64 1 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) -1/3)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 3) 0) (/.f64 1 (pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 3) -1/3)) (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) -1)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 0) (pow.f64 (/.f64 6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) -1) (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6))
(if (!=.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) 0) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) -3)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))
(if (!=.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) 0) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) -3)) (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 1/2))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 1/216))) (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (cbrt.f64 1/216))) (cbrt.f64 (cbrt.f64 1/46656)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(cbrt.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (cbrt.f64 1/216))) (cbrt.f64 (cbrt.f64 1/46656)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))
(cbrt.f64 (.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(.f64 (cbrt.f64 (cbrt.f64 1/46656)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 1/46656)) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)) (cbrt.f64 (cbrt.f64 1/216))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/216) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/216))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/216) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/216))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/216))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/216)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/216)))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))))
(cbrt.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2) (sqrt.f64 (*.f64 -2 (log.f64 u1))))) (cbrt.f64 (cbrt.f64 1/216)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 1/216)) (.f64 (cbrt.f64 (cbrt.f64 1/46656)) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 1/216) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 1/216))) (cbrt.f64 (sqrt.f64 1/216)))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))
(cbrt.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/216) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))
(.f64 (cbrt.f64 (sqrt.f64 1/216)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cbrt.f64 (cbrt.f64 1/216)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6)
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/216)) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/216)))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
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(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (cbrt.f64 1/216))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 1/216))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) -1) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (.f64 (cbrt.f64 1/216) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (cbrt.f64 (sqrt.f64 1/216)))) (.f64 (cbrt.f64 1/216) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2) (cbrt.f64 (sqrt.f64 1/216)))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/216))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/216))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cbrt.f64 (sqrt.f64 1/216)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (cbrt.f64 (sqrt.f64 1/216)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (.f64 (.f64 (cbrt.f64 1/216) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (cbrt.f64 (sqrt.f64 1/216))) (.f64 (.f64 (cbrt.f64 1/216) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)) (cbrt.f64 (sqrt.f64 1/216))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/216)) (.f64 (cbrt.f64 1/216) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2))) (.f64 (cbrt.f64 (sqrt.f64 1/216)) (.f64 (cbrt.f64 1/216) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (cbrt.f64 (sqrt.f64 1/216))) (cbrt.f64 1/216)) (.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2) (cbrt.f64 (sqrt.f64 1/216))) (cbrt.f64 1/216)))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 1/216)) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/216)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 1/216))) (.f64 (.f64 (sqrt.f64 (sqrt.f64 1/216)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)) (sqrt.f64 (sqrt.f64 1/216))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 (sqrt.f64 1/216))) (sqrt.f64 (sqrt.f64 1/216))) (.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 (sqrt.f64 1/216))) (sqrt.f64 (sqrt.f64 1/216))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 1/216))) (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 1/216))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(.f64 (cbrt.f64 (.f64 1/46656 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))))) (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(cbrt.f64 (.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (sqrt.f64 1/216))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 1/216))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/216)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (.f64 1/46656 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/216)))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (.f64 1/10077696 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2))) (cbrt.f64 (.f64 1/216 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (.f64 (.f64 1/216 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)))) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)))) (cbrt.f64 (sqrt.f64 1/216)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (cbrt.f64 1/216))) (.f64 (cbrt.f64 (cbrt.f64 1/46656)) (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (.f64 1/46656 (cbrt.f64 1/216))) (cbrt.f64 1/46656))) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (cbrt.f64 1/216)))) (cbrt.f64 (cbrt.f64 1/46656)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)))) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 2)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) 1/46656)) (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)) (sqrt.f64 1/216))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (sqrt.f64 1/216) (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) 2) 2)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(/.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) (/.f64 1 1/216))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(/.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) (sqrt.f64 1/216)) (/.f64 1 (sqrt.f64 1/216)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(/.f64 (.f64 (cbrt.f64 1/46656) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) (/.f64 1 (cbrt.f64 1/216)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(/.f64 (neg.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)) -1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(pow.f64 (.f64 1/10077696 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)) 1/3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 1/216)) 3)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1)
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3/2) (sqrt.f64 1/216)) 2)
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 2 3/2)) 1/216)
(neg.f64 (.f64 -1 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(neg.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 3) 1/216) -1))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(cbrt.f64 (.f64 1/10077696 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 3)))
(pow.f64 (/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 6) 3)
(cbrt.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2) 3) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (cbrt.f64 1/216))))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6)) (pow.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 4) (cbrt.f64 1/2176782336))) 2))

localize42.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.3b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
✓	0.5b	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)

Compiler

Compiled 95 to 69 computations (27.4% saved)

series347.0ms (1.3%)

Counts

1 → 0

Calls

3 calls:

Time

Variable

Point

Expression

339.0ms

u1

(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)

1.0ms

u1

-inf

(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)

1.0ms

u1

inf

(pow.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 2)

Compiler

Compiled 795 to 720 computations (9.4% saved)

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

107× egg-rr

Counts

1 → 107

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)

Outputs

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simplify352.0ms (1.3%)

Algorithm

1×

egglog

Counts

107 → 118

Calls

Call 1

Inputs
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 2 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) -4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
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(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
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(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
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(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) (cbrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6))
(.f64 (cbrt.f64 1/6) (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 1/6))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) 1/6) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)))))
(.f64 (cbrt.f64 (cbrt.f64 1/6)) (.f64 (cbrt.f64 (cbrt.f64 1/36)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))
(.f64 (cbrt.f64 1/6) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2))))
(.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 1/6)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (sqrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) 2)) (cbrt.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)))))
(.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2))) (cbrt.f64 1/6))
(.f64 (.f64 (cbrt.f64 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6))) (cbrt.f64 (sqrt.f64 1/6)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/216 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2)))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 1/36)) (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (cbrt.f64 1/6)))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (pow.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (cbrt.f64 1/6)) (.f64 (cbrt.f64 1/36) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 1/36) (.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))) 3))
(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (cbrt.f64 1/6))) 3) (cbrt.f64 1/36))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -1)
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/3) 3)
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 2)
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/2)
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) 2)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 4)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))

Outputs
(if (!=.f64 1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 -1 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 -1 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 2 0) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 2 0) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 0) (/.f64 1 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 0) (/.f64 1/3 (/.f64 2 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 0) (/.f64 1 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 0) (pow.f64 (pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -2) -1) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 0) (/.f64 1 (pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) -4)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))
(if (!=.f64 (sqrt.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 0) (pow.f64 (pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) -2) -1) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) (.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2)) (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2))) (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (.f64 1/6 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (.f64 (sqrt.f64 1/6) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (.f64 1/6 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3))))
(.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (.f64 1/6 (cbrt.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)) (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 2) (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 2) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 2) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))))
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(.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (.f64 (.f64 (sqrt.f64 1/6) (cbrt.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 2/3)))
(.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 2/3) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 1/6)) (cbrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))) 3))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) (cbrt.f64 (cbrt.f64 1/6))) 3) (cbrt.f64 1/36))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 1/6) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (/.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 2) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -1) -1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) -1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/3) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (/.f64 1 1/6))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (/.f64 1 (sqrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (/.f64 1 (cbrt.f64 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (.f64 1/3 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 2) 1/2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 4)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(neg.f64 (.f64 -1 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) -1))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))

eval1.5s (5.6%)

Compiler: Compiled 74368 to 57946 computations (22.1% saved)

prune1.1s (4%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	2321	10	2331
Fresh	1	0	1
Picked	1	0	1
Done	8	3	11
Total	2331	13	2344

Error

Counts

2344 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
	0.5b	(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 27) 1/27) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (/.f64 (/.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) 9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 18) 1/3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -3) -3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) 1/9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 1/9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 268 to 241 computations (10.1% saved)

regimes209.0ms (0.8%)

Counts

31 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 1/9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 18) 1/3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) 1/9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -3) -3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) 9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 27) 1/27) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 2) 6) (*.f64 6 2))
(+.f64 (.f64 (.f64 (if (!=.f64 (.f64 -2 (log.f64 u1)) 0) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) -1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2)) 1/2)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 (PI.f64) (PI.f64)) u2))) 1/6 1/2)
(+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3)) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (cbrt.f64 1/36) (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (sqrt.f64 1/6)) (sqrt.f64 6)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/3) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 1/216) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (*.f64 (+.f64 u2 u2) (PI.f64)))) 1/6 1/2)

Calls

10 calls:

46.0ms	u1
42.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
15.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
15.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
14.0ms	(*.f64 -2 (log.f64 u1))

Results

Error	Segments	Branch
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.3b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.3b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.3b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.3b	1	`(*.f64 -2 (log.f64 u1))`
0.3b	1	`(log.f64 u1)`
0.3b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.3b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 684 to 532 computations (22.2% saved)

regimes149.0ms (0.5%)

Accuracy

Total -0.6b remaining (-189.4%)

Threshold costs -0.6b (-189.4%)

Counts

15 → 1

Calls

Call 1

Inputs
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/54) 1/9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 3) 18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 18) 1/3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/3) 3) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/18) 1/3) 1/9) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) -3) -3) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 1/2 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) 9) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (/.f64 (/.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 27) 1/27) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (+.f64 u2 u2) (PI.f64)))) 2) 6) (*.f64 6 2))

Outputs
(+.f64 (.f64 (/.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 6) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Calls

10 calls:

28.0ms	(*.f64 -2 (log.f64 u1))
18.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
17.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
17.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
16.0ms	u2

Results

Error	Segments	Branch
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.3b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.3b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.3b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.3b	1	`(*.f64 -2 (log.f64 u1))`
0.3b	1	`(log.f64 u1)`
0.3b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.3b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 374 to 303 computations (19% saved)

simplify3.0ms (0%)

Stop Event

1×

fuel

Compiler

Compiled 53 to 46 computations (13.2% saved)

soundness0.0ms (0%)

end76.0ms (0.3%)

Compiler: Compiled 49 to 38 computations (22.4% saved)