Details

analyze76.0ms (2.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
3.1%	3.1%	93.8%	2
3.1%	3.1%	93.8%	3
4.7%	1.6%	93.8%	4
4.7%	1.6%	93.8%	5
5.5%	0.8%	93.8%	6
5.5%	0.8%	93.8%	7
5.8%	0.4%	93.8%	8
5.8%	0.4%	93.8%	9
6%	0.2%	93.8%	10
6%	0.2%	93.8%	11
6.1%	0.1%	93.8%	12
6.1%	0.1%	93.8%	13
6.2%	0%	93.8%	14

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.9s (52.8%)

Results

1.9s

8256×

body

128

valid

preprocess74.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

545×	`*-commutative_binary64`
493×	`associate-l_binary64`
470×	`sqr-pow_binary64`
416×	`unswap-sqr_binary64`
325×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	48
1	59	48
2	110	48
3	207	48
4	495	48
5	1512	48
6	2056	48
7	2701	48
8	2820	48
9	2994	48
10	3213	48
11	3545	48
12	4005	48
13	4604	48
0	2	2

Stop Event

1×	saturated
1×	node limit

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

simplify51.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
500×	`sqr-pow_binary64`
281×	`cube-prod_binary64`
277×	`*-commutative_binary64`
242×	`pow-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	24
1	38	24
2	65	24
3	114	24
4	255	24
5	739	24
6	1007	24
7	1337	24
8	2621	24
9	2723	24
10	2884	24
11	3093	24
12	3400	24
13	3828	24
14	4392	24

Stop Event

1×	node limit

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

eval1.0ms (0%)

Compiler: Compiled 36 to 30 computations (16.7% saved)

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

Compiler

Compiled 34 to 30 computations (11.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
✓	0.2b	(*.f64 (PI.f64) u2)
✓	0.3b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

series75.0ms (2.1%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
18.0ms	u2	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
17.0ms	u1	@	-inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
7.0ms	u1	@	inf	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
2.0ms	u2	@	0	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
276×	`log1p-udef_binary64`
158×	`add-sqr-sqrt_binary64`
150×	`*-un-lft-identity_binary64`
150×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	50
1	324	50
2	3617	50

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) u2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (PI.f64) u2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 4 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 1))))))

simplify60.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

369×	`fma-def_binary64`
349×	`associate-l_binary64`
295×	`associate-r_binary64`
281×	`distribute-rgt-in_binary64`
240×	`unswap-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	81	1110
1	203	1060
2	546	1020
3	2138	966
4	3028	966
5	3794	948

Stop Event

1×	node limit

Counts

132 → 103

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2))))))
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4)))))))
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4)))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 6))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
1/6
(+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(fma.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/2)
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2))))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 -1/3 (.f64 u2 u2)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)) (.f64 -1/3 (.f64 u2 u2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) 1/6)))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) 1/6)))
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4)))))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2))) (.f64 (.f64 1/9 (pow.f64 u2 4)) (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4))))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (.f64 1/9 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))))))
(+.f64 (fma.f64 (.f64 u2 (.f64 (.f64 u2 (pow.f64 (PI.f64) 2)) -1/3)) (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6)))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 1/9 (pow.f64 (*.f64 u2 (PI.f64)) 4) 1/6))))
(+.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4)))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 6))))))))
(+.f64 1/2 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 2))) (fma.f64 1/9 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 4))) (.f64 (.f64 -2/135 (pow.f64 u2 6)) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (PI.f64) 6)))))))
(+.f64 (fma.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/2) (fma.f64 -1/3 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (fma.f64 1/9 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 -2/135 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 (pow.f64 u2 4) (.f64 1/9 (pow.f64 (PI.f64) 4)) (.f64 u2 (.f64 (.f64 u2 (pow.f64 (PI.f64) 2)) -1/3)))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 -2/135 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) 1/6))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) 1/6)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (PI.f64) 6) (.f64 -2/135 (pow.f64 u2 6)) 1/6)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (fma.f64 1/9 (pow.f64 (.f64 u2 (PI.f64)) 4) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 -2/135 (pow.f64 (.f64 u2 (PI.f64)) 6) 1/6)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 (PI.f64) (.f64 2 u2)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 u2 (PI.f64))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
1/6
(+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))))
(+.f64 1/6 (.f64 -1/3 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2))))
(fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) 1/6)
(fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) 1/6)
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (+.f64 1/6 (.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2))) 1/6))
(fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6))
(fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6))
(fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 1/9 (pow.f64 (*.f64 u2 (PI.f64)) 4) 1/6))
(+.f64 (.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1/6 (+.f64 (.f64 -1/3 (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (+.f64 1/6 (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (.f64 -2/135 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))))))
(+.f64 (fma.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))))) (fma.f64 1/9 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) 1/6))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (fma.f64 -2/135 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) 1/6)))
(fma.f64 1/9 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 (pow.f64 (PI.f64) 6) (.f64 -2/135 (pow.f64 u2 6)) 1/6)))
(fma.f64 1/9 (pow.f64 (.f64 u2 (PI.f64)) 4) (fma.f64 -1/3 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (fma.f64 -2/135 (pow.f64 (.f64 u2 (PI.f64)) 6) 1/6)))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))
(.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))
(.f64 1/6 (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))
(.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))

eval47.0ms (1.3%)

Compiler: Compiled 2096 to 1549 computations (26.1% saved)

prune168.0ms (4.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	96	7	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	7	104

Error

Counts

104 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.7b	(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
	0.7b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
	0.8b	(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
▶	0.4b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
	0.5b	(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))

Compiler

Compiled 340 to 296 computations (12.9% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
✓	0.2b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.5b	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))

series53.0ms (1.5%)

Counts

4 → 32

Calls

18 calls:

Time	Variable		Point	Expression
36.0ms	u2	@	inf	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
8.0ms	u1	@	-inf	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
2.0ms	u2	@	0	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	0	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u2	@	-inf	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite57.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`prod-diff_binary64`
167×	`add-sqr-sqrt_binary64`
160×	`*-un-lft-identity_binary64`
160×	`pow1_binary64`
154×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	346	63
2	3996	63

Stop Event

1×	node limit

Counts

4 → 66

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3) (pow.f64 (neg.f64 (log.f64 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2) (pow.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 u2 (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 u2 (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 u2 (PI.f64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 u2 (PI.f64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 u2 (PI.f64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 u2 (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 u2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 u2 (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 u2 (PI.f64))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) (cbrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (neg.f64 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/4) (pow.f64 (neg.f64 (log.f64 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) (log.f64 u1))) 1/2) (pow.f64 (cbrt.f64 (neg.f64 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (neg.f64 (log.f64 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (neg.f64 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1))))))

simplify55.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

990×	`distribute-lft-out_binary64`
517×	`associate-r_binary64`
444×	`associate-l_binary64`
327×	`fma-def_binary64`
240×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	70	980
1	184	928
2	559	865
3	2784	847
4	4021	845

Stop Event

1×	node limit

Counts

98 → 93

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))

Outputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (*.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2))) 1) (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 1 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 2)))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))))))
(fma.f64 -2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (fma.f64 (.f64 (sqrt.f64 2) 2/3) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (+.f64 1 (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (.f64 -2 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(fma.f64 -2 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))) (fma.f64 -4/45 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 -4/45 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 2/3 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 -2 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (.f64 (+.f64 (.f64 -2 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) 1) (sqrt.f64 2))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 -2 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 -2 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2)))) (+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (+.f64 1 (.f64 2/3 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6)
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) -1/3))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) 1/6) (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 (*.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 1/6 (.f64 (.f64 u2 (*.f64 u2 (pow.f64 (PI.f64) 2))) -1/3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (fma.f64 -1/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/9)))
(fma.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3) (.f64 (.f64 1/9 (sqrt.f64 2)) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))) (.f64 (sqrt.f64 2) 1/6)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1/6 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3)) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (+.f64 (+.f64 1/6 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3)) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(fma.f64 -2/135 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (fma.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (fma.f64 -1/3 (.f64 (sqrt.f64 2) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 (.f64 (sqrt.f64 2) (.f64 (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/9))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 2))) -1/3) (.f64 (.f64 1/9 (sqrt.f64 2)) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) -2/135) (*.f64 (sqrt.f64 2) 1/6))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3))) (.f64 (sqrt.f64 2) (+.f64 (.f64 (.f64 -2/135 (pow.f64 (PI.f64) 6)) (pow.f64 u2 6)) 1/6))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) (+.f64 (+.f64 1/6 (.f64 (.f64 -2/135 (pow.f64 (PI.f64) 6)) (pow.f64 u2 6))) (+.f64 (.f64 (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)) -1/3) (.f64 (*.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (+.f64 1/6 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) -1/3)) (+.f64 (.f64 (.f64 1/9 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) -2/135)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (.f64 -1 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/6)
(.f64 (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (.f64 (sqrt.f64 2) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (sqrt.f64 2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) 1/6)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 -1 (log.f64 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))

eval49.0ms (1.4%)

Compiler: Compiled 2177 to 1589 computations (27% saved)

prune134.0ms (3.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	94	6	100

Error

Counts

100 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.7b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)))
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1))))))))
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
	0.6b	(+.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3)))
▶	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Compiler

Compiled 312 to 266 computations (14.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
✓	0.1b	(sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))
	0.2b	(*.f64 u2 (PI.f64))
✓	0.4b	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

series15.0ms (0.4%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)
2.0ms	u2	@	0	(sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))
1.0ms	u2	@	0	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)
1.0ms	u1	@	0	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)
1.0ms	u2	@	inf	(.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

rewrite71.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`prod-diff_binary64`
188×	`add-sqr-sqrt_binary64`
182×	`pow1_binary64`
180×	`*-un-lft-identity_binary64`
179×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	85
1	389	68
2	4773	68

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs

(*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)

(sqrt.f64 (*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36))

(+.f64 1/2 (sqrt.f64 (*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) (pow.f64 1/36 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1/36 1/2) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 2)) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1/4 (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))) (/.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 2)) (cbrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)) (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2)) (/.f64 1 (+.f64 1/4 (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (*.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/4 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (/.f64 1 (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1/4 (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (*.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))) (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) (+.f64 1/4 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2)) (+.f64 1/4 (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (*.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2)) (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (-.f64 1/4 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/4 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/8 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 3/2))) (neg.f64 (+.f64 1/4 (+.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) (*.f64 -1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1/4 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)))) (neg.f64 (-.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) (-.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18))) (cbrt.f64 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) (pow.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) 1/18)) 1/4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 2)) (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64))))) 1/6 1/2)))))

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
590×	`associate-r_binary64`
349×	`fma-def_binary64`
234×	`*-commutative_binary64`
181×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	108	2389
1	296	2347
2	965	2294

Stop Event

1×	node limit

Counts

149 → 116

Calls

Call 1

Inputs
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(*.f64 -1/18 (log.f64 u1))
(+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 2/9 (.f64 (pow.f64 u2 2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/18 (log.f64 u1)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (.f64 2/9 (.f64 (pow.f64 u2 2) (*.f64 (log.f64 u1) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -1/18 (log.f64 u1)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 u2 2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))) (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (.f64 (log.f64 u1) (pow.f64 u2 6)))))))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)

Outputs
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 1/18 (.f64 (log.f64 (/.f64 1 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(*.f64 -1/18 (log.f64 u1))
(+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 2/9 (.f64 (pow.f64 u2 2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))))
(fma.f64 -1/18 (log.f64 u1) (.f64 2/9 (.f64 (.f64 u2 u2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))))
(fma.f64 -1/18 (log.f64 u1) (.f64 2/9 (.f64 (log.f64 u1) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))
(.f64 (log.f64 u1) (+.f64 -1/18 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 u2 2/9)))))
(+.f64 (.f64 -1/18 (log.f64 u1)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (.f64 2/9 (.f64 (pow.f64 u2 2) (*.f64 (log.f64 u1) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/18 (log.f64 u1) (fma.f64 -1/18 (.f64 (.f64 (pow.f64 u2 4) (log.f64 u1)) (.f64 (pow.f64 (PI.f64) 4) 16/3)) (.f64 2/9 (.f64 (.f64 u2 u2) (*.f64 (log.f64 u1) (pow.f64 (PI.f64) 2))))))
(fma.f64 -1/18 (log.f64 u1) (fma.f64 (.f64 2/9 (.f64 u2 u2)) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (*.f64 16/3 (log.f64 u1)))))))
(fma.f64 2/9 (.f64 (pow.f64 (PI.f64) 2) (.f64 (log.f64 u1) (.f64 u2 u2))) (.f64 (log.f64 u1) (+.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) -8/27)))))
(+.f64 (.f64 -1/18 (log.f64 u1)) (+.f64 (.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4)))))) (+.f64 (.f64 2/9 (.f64 (pow.f64 u2 2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)))) (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (.f64 (log.f64 u1) (pow.f64 u2 6)))))))
(fma.f64 -1/18 (log.f64 u1) (fma.f64 -1/18 (.f64 (.f64 (pow.f64 u2 4) (log.f64 u1)) (.f64 (pow.f64 (PI.f64) 4) 16/3)) (fma.f64 2/9 (.f64 (.f64 u2 u2) (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2))) (.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) -128/45)) (.f64 (log.f64 u1) (pow.f64 u2 6))))))
(fma.f64 -1/18 (log.f64 u1) (fma.f64 -1/18 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (fma.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) (.f64 -128/45 (.f64 (log.f64 u1) (pow.f64 u2 6)))) (.f64 2/9 (.f64 (log.f64 u1) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 (log.f64 u1) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 u2 (.f64 u2 2/9))) (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) -8/27)))) (.f64 (log.f64 u1) (+.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) 64/405)) -1/18)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))
(.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))
(+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))))))
(fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (fma.f64 1/2 (.f64 (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)))) (/.f64 (+.f64 (.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) -128/45)) (log.f64 u1)) (.f64 -1/9 (/.f64 (log.f64 u1) (/.f64 (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))))))) (/.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6))))))
(fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (/.f64 (fma.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) -128/45)) (.f64 (/.f64 (log.f64 u1) (/.f64 (/.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2)))) -1/9)) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (.f64 (/.f64 (pow.f64 u2 6) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) 64/405) (.f64 2 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)))) (log.f64 u1)))))) (fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))))
(sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))
(sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1))))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18)) 1/2)
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18)) 1/2)
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18)) 1/2)
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18)) 1/2)
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 1/2)
(fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(+.f64 1/2 (+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)))))))
(+.f64 1/2 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 1/2 (.f64 (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 1/2))
(+.f64 1/2 (+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 u2 4) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (.f64 1/2 (/.f64 (.f64 (-.f64 (.f64 -1/18 (.f64 (+.f64 (.f64 -8/45 (pow.f64 (PI.f64) 6)) (.f64 -8/3 (pow.f64 (PI.f64) 6))) (log.f64 u1))) (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (.f64 (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (+.f64 (.f64 4/3 (pow.f64 (PI.f64) 4)) (.f64 4 (pow.f64 (PI.f64) 4))))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)) (pow.f64 (PI.f64) 2))) (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2)))) (pow.f64 u2 6)) (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))))))
(+.f64 1/2 (+.f64 (fma.f64 1/9 (/.f64 (log.f64 u1) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 u2 4) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2)))) (/.f64 (+.f64 (.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 6) -128/45)) (log.f64 u1)) (.f64 -1/9 (/.f64 (log.f64 u1) (/.f64 (pow.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 2) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) 16/3))) (pow.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 u1) (pow.f64 (PI.f64) 2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) 2))))))) (/.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6)))))))
(+.f64 1/2 (fma.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2))) (fma.f64 1/2 (+.f64 (.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2))) (/.f64 (fma.f64 -1/18 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) -128/45)) (.f64 (/.f64 (log.f64 u1) (/.f64 (/.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (PI.f64) 2)) (-.f64 (.f64 -1/18 (.f64 (pow.f64 (PI.f64) 4) (.f64 16/3 (log.f64 u1)))) (pow.f64 (.f64 1/9 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (pow.f64 (PI.f64) 2))) 2)))) -1/9)) (/.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (pow.f64 u2 6)))) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))
(+.f64 (fma.f64 1/9 (.f64 (.f64 u2 (.f64 u2 (pow.f64 (PI.f64) 2))) (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 1/2 (fma.f64 (/.f64 (pow.f64 u2 4) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)) (.f64 (/.f64 (pow.f64 u2 6) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (fma.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 6) 64/405) (.f64 2 (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) -8/27)) (pow.f64 (.f64 (/.f64 (log.f64 u1) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (.f64 (pow.f64 (PI.f64) 2) 1/9)) 2)))) (log.f64 u1)))))) 1/2))
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)
(+.f64 (sqrt.f64 (.f64 -1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) 1/2)
(+.f64 (sqrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) 1/2)
(+.f64 (sqrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) (.f64 -1/18 (log.f64 u1)))) 1/2)

eval70.0ms (2%)

Compiler: Compiled 3614 to 2599 computations (28.1% saved)

prune113.0ms (3.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	131	6	137

Error

Counts

137 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1))))))))
▶	0.3b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
	0.6b	(+.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3)))
✓	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Compiler

Compiled 299 to 253 computations (15.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	0.2b	(.f64 u2 (.f64 2 (PI.f64)))
✓	0.2b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))

series8.0ms (0.2%)

Counts

4 → 52

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
1.0ms	u1	@	0	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
1.0ms	u2	@	inf	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
1.0ms	u1	@	-inf	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
1.0ms	u1	@	-inf	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))

rewrite53.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

484×	`prod-diff_binary64`
254×	`expm1-udef_binary64`
254×	`log1p-udef_binary64`
156×	`add-sqr-sqrt_binary64`
149×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	48
1	324	42
2	3662	42

Stop Event

1×	node limit

Counts

4 → 79

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 u2 (.f64 2 (PI.f64)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) 1/18) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (log.f64 u1) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 1/18 (sqrt.f64 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 1/18 (sqrt.f64 1/18)) (pow.f64 (log.f64 u1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 u2 (.f64 2 (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (PI.f64)) 2) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 u2 (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 u2 (.f64 2 (PI.f64))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 2 (PI.f64)) 3) (pow.f64 u2 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 u2 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 u2 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 u2 (.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 u1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 u1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (log.f64 u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) 2) (cbrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) (sqrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3) 1/8) (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (-.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)) 1))))))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

571×	`fma-neg_binary64`
371×	`unswap-sqr_binary64`
366×	`associate-l_binary64`
324×	`associate-r_binary64`
190×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	976
1	165	974
2	443	953
3	1903	927
4	2810	923
5	3960	923
6	4820	923

Stop Event

1×	node limit

Counts

131 → 100

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(.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)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 1/2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))))))
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (+.f64 (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4))))))))
(+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 6))))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (+.f64 (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)))))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))

Outputs
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 u2 (.f64 2 (PI.f64)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(sqrt.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 1/2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(fma.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))))))
(+.f64 1/2 (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18) (.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))))))
(+.f64 (fma.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))) -2)))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 1/18) (.f64 (.f64 (.f64 u2 (*.f64 u2 -2)) (pow.f64 (PI.f64) 2)) (sqrt.f64 1/18)))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 (.f64 (.f64 u2 (*.f64 u2 -2)) (pow.f64 (PI.f64) 2)) 1) (sqrt.f64 1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (+.f64 1 (.f64 (.f64 -2 (*.f64 u2 u2)) (pow.f64 (PI.f64) 2))) (sqrt.f64 1/18))))
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (+.f64 (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4))))))))
(+.f64 1/2 (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18) (fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4))))))))
(+.f64 (fma.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) (fma.f64 2/3 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)) (pow.f64 u2 4))) (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))) -2))))
(+.f64 1/2 (fma.f64 -2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (PI.f64) 4) (.f64 (sqrt.f64 1/18) (pow.f64 u2 4)))) (sqrt.f64 1/18)))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 1/18) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 u2 (*.f64 u2 -2)) (pow.f64 (PI.f64) 2)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (+.f64 (+.f64 1 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))) (.f64 (.f64 -2 (*.f64 u2 u2)) (pow.f64 (PI.f64) 2))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (+.f64 1 (.f64 (.f64 -2 (*.f64 u2 u2)) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 -4/45 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 6))))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (+.f64 (.f64 -2 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)))))))))
(fma.f64 -4/45 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 6)))) (+.f64 1/2 (fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18) (fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))) (.f64 2/3 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)))))))))
(+.f64 (fma.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1))) (fma.f64 2/3 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)) (pow.f64 u2 4))) (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2))) -2)))) (fma.f64 (.f64 -4/45 (pow.f64 u2 6)) (.f64 (sqrt.f64 1/18) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (pow.f64 (PI.f64) 6))) 1/2))
(+.f64 1/2 (fma.f64 -4/45 (.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (.f64 (.f64 u2 u2) (pow.f64 (PI.f64) 2)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (+.f64 (.f64 2/3 (.f64 (pow.f64 (PI.f64) 4) (*.f64 (sqrt.f64 1/18) (pow.f64 u2 4)))) (sqrt.f64 1/18))))))
(+.f64 1/2 (+.f64 (.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (.f64 (.f64 u2 (.f64 u2 -2)) (pow.f64 (PI.f64) 2)))) (.f64 (+.f64 (.f64 (.f64 -4/45 (pow.f64 u2 6)) (pow.f64 (PI.f64) 6)) 1) (*.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(+.f64 1/2 (fma.f64 -4/45 (.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (+.f64 (+.f64 1 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4))) (.f64 (.f64 -2 (.f64 u2 u2)) (pow.f64 (PI.f64) 2)))))))
(+.f64 1/2 (fma.f64 -4/45 (.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (pow.f64 (PI.f64) 4)) (+.f64 1 (.f64 (.f64 -2 (.f64 u2 u2)) (pow.f64 (PI.f64) 2))))))))
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 1/18) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)

eval37.0ms (1%)

Compiler: Compiled 1914 to 1351 computations (29.4% saved)

prune65.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	100	6	106

Error

Counts

106 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
	0.6b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1))))))))
✓	0.3b	(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
	0.4b	(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
	0.6b	(+.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3)))
✓	0.2b	(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Compiler

Compiled 160 to 136 computations (15% saved)

regimes120.0ms (3.3%)

Accuracy

Total -1.4b remaining (-581.9%)

Threshold costs -1.4b (-581.9%)

Counts

14 → 1

Calls

Call 1

Inputs
(fma.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (neg.f64 (log.f64 u1))))))))
(+.f64 1/2 (cbrt.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 3)))
(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (exp.f64 (log.f64 (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)) 2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2) 3) 1/3)
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))) 1/4) (-.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (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)

Outputs
(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Results

Time	Error	Segments	Branch
8.0ms	0.2b	1	`u1`
8.0ms	0.2b	1	`u2`
9.0ms	0.2b	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)`
8.0ms	0.2b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
8.0ms	0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
8.0ms	0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
8.0ms	0.2b	1	`(*.f64 -2 (log.f64 u1))`
8.0ms	0.2b	1	`(*.f64 -2 (log.f64 u1))`
8.0ms	0.2b	1	`(log.f64 u1)`
3.0ms	0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
3.0ms	0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
8.0ms	0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`
23.0ms	0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 397 to 310 computations (21.9% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary64`
6×	`+-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`
5×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	30	31
2	42	29
3	64	29
4	71	29
5	75	29
6	76	29

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 1/2 (sqrt.f64 (.f64 (.f64 (neg.f64 (log.f64 u1)) (.f64 2 (pow.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

Outputs

(+.f64 1/2 (sqrt.f64 (*.f64 (*.f64 (neg.f64 (log.f64 u1)) (*.f64 2 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2))) 1/36)))

(+.f64 1/2 (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2) -2)) 1/36)))

end21.0ms (0.6%)

Stop Event

1×

fuel

Compiler

Compiled 40 to 36 computations (10% saved)

Details

analyze76.0ms (2.1%)

sample1.9s (52.8%)

preprocess74.0ms (2.1%)

simplify51.0ms (1.4%)

eval1.0ms (0%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

series75.0ms (2.1%)

rewrite56.0ms (1.6%)

simplify60.0ms (1.7%)

eval47.0ms (1.3%)

prune168.0ms (4.6%)

localize14.0ms (0.4%)

series53.0ms (1.5%)

rewrite57.0ms (1.6%)

simplify55.0ms (1.5%)

eval49.0ms (1.4%)

prune134.0ms (3.7%)

localize13.0ms (0.4%)

series15.0ms (0.4%)

rewrite71.0ms (2%)

simplify48.0ms (1.3%)

eval70.0ms (2%)

prune113.0ms (3.1%)

localize11.0ms (0.3%)

series8.0ms (0.2%)

rewrite53.0ms (1.5%)

simplify73.0ms (2%)

eval37.0ms (1%)

prune65.0ms (1.8%)

regimes120.0ms (3.3%)

simplify3.0ms (0.1%)

end21.0ms (0.6%)

Profiling