Details

analyze33.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample2.0s (20.7%)

Results

2.0s

8256×

body

256

valid

Bogosity

preprocess227.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

2520×	`sqr-pow`
1380×	`pow-sqr`
1196×	`cube-prod`
1114×	`*-commutative`
808×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	94
1	63	94
2	110	94
3	191	94
4	418	94
5	1168	94
6	1590	94
7	2237	94
8	2366	94
9	2557	94
10	2788	94
11	3120	94
12	3558	94
13	4121	94
14	4808	94
15	5628	94
16	5974	94
17	6308	94
18	6564	94
19	6728	94
20	6840	94
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 (.f64 2 (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)
(+.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 1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u2))) (cos.f64 (.f64 (PI.f64) (.f64 u1 2)))) 1/2)

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify182.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2480×	`sqr-pow`
1982×	`cube-prod`
940×	`pow-sqr`
888×	`unswap-sqr`
752×	`cube-mult`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	47
1	42	47
2	67	47
3	108	47
4	222	47
5	599	47
6	817	47
7	1022	47
8	1738	47
9	1847	47
10	2017	47
11	2229	47
12	2532	47
13	2924	47
14	3409	47
15	4003	47
16	4777	47
17	5321	47
18	5780	47
19	6240	47
20	6608	47
21	6906	47

Stop Event

1×	node limit

Counts

1 → 3

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 (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 51 to 40 computations (21.6% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

0.4b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 21 to 19 computations (9.5% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 85 to 63 computations (25.9% saved)

series62.0ms (0.6%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
19.0ms	u1	@	0	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
14.0ms	u1	@	-inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
13.0ms	u2	@	inf	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
9.0ms	u1	@	inf	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
2.0ms	u1	@	0	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite108.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`distribute-rgt-in`
524×	`distribute-lft-in`
440×	`add-sqr-sqrt`
416×	`*-un-lft-identity`
414×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	98
1	452	98
2	5157	98

Stop Event

1×	node limit

Counts

4 → 123

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (.f64 -2 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 2 (.f64 (PI.f64) u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 2) (PI.f64)) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 2 (.f64 (PI.f64) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 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 cbrt.f64 (.f64 (pow.f64 u2 3) (pow.f64 (.f64 2 (PI.f64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 2 (.f64 (PI.f64) u2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 2 (*.f64 (PI.f64) u2))))))))
((#(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 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)))) (#(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 (log.f64 u1)) (sqrt.f64 -2))))) (#(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 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (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 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 -2 (log.f64 u1)))))) (#(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 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 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))))) (#(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 -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (/.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (/.f64 1/4 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))))) 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simplify149.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1160×	`associate-/r*`
862×	`associate-*r/`
688×	`associate-*l/`
568×	`associate-r`
556×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	13751
1	972	12749
2	3948	12647

Stop Event

1×	node limit

Counts

183 → 249

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.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))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
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(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))))) (cbrt.f64 (+.f64 1/4 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2))))))) (cbrt.f64 (+.f64 1/4 (-.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/2))))))
(pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 1))
(log1p.f64 (expm1.f64 (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 (.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 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (sqrt.f64 2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -2) 1/6))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 (.f64 2 u2) (PI.f64))
(.f64 u2 (.f64 2 (PI.f64)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.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))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (log.f64 u1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (*.f64 2 u2) (PI.f64))))))
(fma.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.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 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.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 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.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 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.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 (neg.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) (sqrt.f64 -1)))))
(fma.f64 1/6 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)))) 1/2)
(fma.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
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(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(log1p.f64 (expm1.f64 (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 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(fma.f64 1 (.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 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 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 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 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 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.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 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36)) (pow.f64 (cos.f64 (.f64 (.f64 2 u2) (PI.f64))) 2))) (cbrt.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)

eval173.0ms (1.8%)

Compiler: Compiled 10044 to 7420 computations (26.1% saved)

prune52.0ms (0.6%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	235	14	249
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	14	250

Error

Counts

250 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)
	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
	1.2b	(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 3)
	0.5b	(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)
	0.6b	(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.7b	(+.f64 (.f64 (.f64 (/.f64 1 6) (exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.5b	(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(+.f64 (.f64 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
	0.6b	(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3))

Compiler

Compiled 562 to 500 computations (11% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 59 to 39 computations (33.9% saved)

series5.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u1	@	0	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	-inf	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	0	(sqrt.f64 (*.f64 (log.f64 u1) -1/18))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`swap-sqr`
544×	`distribute-rgt-in`
494×	`distribute-lft-in`
392×	`associate-*r/`
366×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
1	366	67
2	4306	67

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/18 (log.f64 (pow.f64 (cbrt.f64 u1) 2))) (.f64 -1/18 (log.f64 (cbrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/18 (log.f64 (sqrt.f64 u1))) (.f64 -1/18 (log.f64 (sqrt.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 u1) 2)) -1/18) (.f64 (log.f64 (cbrt.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (sqrt.f64 u1)) -1/18) (.f64 (log.f64 (sqrt.f64 u1)) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.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)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))))
((#(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 .f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(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 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(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 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (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 (.f64 (log.f64 u1) -1/18) 3/2))))) (#(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 (.f64 (log.f64 u1) -1/18)) 1/2))))) (#(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 log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) 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Outputs

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

simplify129.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-/r*`
806×	`associate-*r/`
622×	`associate-*l/`
514×	`associate-r`
504×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	12205
1	927	11917
2	3884	11147

Stop Event

1×	node limit

Counts

165 → 233

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(+.f64 0 (*.f64 (log.f64 u1) -1/18))
(+.f64 (.f64 -1/18 (log.f64 (pow.f64 (cbrt.f64 u1) 2))) (.f64 -1/18 (log.f64 (cbrt.f64 u1))))
(+.f64 (.f64 -1/18 (log.f64 (sqrt.f64 u1))) (.f64 -1/18 (log.f64 (sqrt.f64 u1))))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 u1) 2)) -1/18) (.f64 (log.f64 (cbrt.f64 u1)) -1/18))
(+.f64 (.f64 (log.f64 (sqrt.f64 u1)) -1/18) (.f64 (log.f64 (sqrt.f64 u1)) -1/18))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18))) 1)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 2))
(log.f64 (pow.f64 u1 -1/18))
(log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 u1) -1/18)))
(exp.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)
(-.f64 (/.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) 3) 1/64) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 2) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (+.f64 1/16 (.f64 1/4 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3))) 1/64) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3))) (-.f64 1/64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) 1) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1) (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)

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

localize14.0ms (0.2%)

Compiler: Compiled 37 to 24 computations (35.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
✓	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

Compiler

Compiled 83 to 50 computations (39.8% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1932×	`add-sqr-sqrt`
1904×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1758×	`add-cbrt-cube`
218×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	241	45
2	2760	45

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

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

Outputs

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

((#(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 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))))) (#(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 (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 (sqrt.f64 -1) (sqrt.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) 1/4) 2)))) (#(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) 3/2) 1/3)))) (#(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 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 log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))))))

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1158×	`associate-+l+`
1146×	`associate-+r+`
940×	`unswap-sqr`
606×	`log-prod`
506×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	1948
1	273	1792
2	1031	1768
3	3691	1666

Stop Event

1×	node limit

Counts

88 → 79

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))))) 1)
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 3)
(pow.f64 (*.f64 2 (log.f64 u1)) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3) 1/3)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3) 1/3)
(sqrt.f64 (.f64 1/36 (.f64 2 (log.f64 u1))))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 u1)))) 1)
(*.f64 (sqrt.f64 (log.f64 u1)) 1)
(*.f64 1 (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))
(pow.f64 (log.f64 u1) 1/2)
(pow.f64 (sqrt.f64 (log.f64 u1)) 1)
(pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)
(pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 u1)))))
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))
(exp.f64 (*.f64 (log.f64 (log.f64 u1)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 u1))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 2) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 2) (neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 2) -1/6))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/6)
(.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 -1/6 (sqrt.f64 2)))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))) 1/6)
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 1/6 (sqrt.f64 2)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 2) (.f64 1/6 (*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (neg.f64 (log.f64 u1))))
(*.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(neg.f64 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))))) 1)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 2)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (*.f64 2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3) 1/3)
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))))))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 3))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 2 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(sqrt.f64 (*.f64 2 (log.f64 u1)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6))) 1)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 2)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)) 3)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3) 1/3)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(sqrt.f64 (.f64 1/36 (.f64 2 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 2 (log.f64 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6))))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6) 3))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 u1))) 1/6)) 1))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 u1))) 1/6)))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (log.f64 u1)))) 1)
(sqrt.f64 (log.f64 u1))
(*.f64 (sqrt.f64 (log.f64 u1)) 1)
(sqrt.f64 (log.f64 u1))
(*.f64 1 (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 u1))
(*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4))
(sqrt.f64 (log.f64 u1))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) (cbrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(pow.f64 (cbrt.f64 (log.f64 u1)) 3/2)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 u1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2) 1/2) (pow.f64 (cbrt.f64 (log.f64 u1)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 u1)) 2)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (fabs.f64 (cbrt.f64 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(*.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (cbrt.f64 (log.f64 u1))))
(pow.f64 (cbrt.f64 (log.f64 u1)) 3/2)
(*.f64 (pow.f64 -1 1/2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(pow.f64 (log.f64 u1) 1/2)
(sqrt.f64 (log.f64 u1))
(pow.f64 (sqrt.f64 (log.f64 u1)) 1)
(sqrt.f64 (log.f64 u1))
(pow.f64 (pow.f64 (log.f64 u1) 1/4) 2)
(sqrt.f64 (log.f64 u1))
(pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3)
(sqrt.f64 (log.f64 u1))
(pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3)
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(fabs.f64 (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (log.f64 u1))
(log.f64 (exp.f64 (sqrt.f64 (log.f64 u1))))
(sqrt.f64 (log.f64 u1))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (log.f64 u1)))))
(sqrt.f64 (log.f64 u1))
(cbrt.f64 (pow.f64 (log.f64 u1) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (log.f64 u1))))
(sqrt.f64 (log.f64 u1))
(exp.f64 (log.f64 (sqrt.f64 (log.f64 u1))))
(sqrt.f64 (log.f64 u1))
(exp.f64 (*.f64 (log.f64 (log.f64 u1)) 1/2))
(sqrt.f64 (log.f64 u1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (log.f64 u1))) 1))
(sqrt.f64 (log.f64 u1))
(log1p.f64 (expm1.f64 (sqrt.f64 (log.f64 u1))))
(sqrt.f64 (log.f64 u1))

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
✓	0.4b	(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))

Compiler

Compiled 92 to 66 computations (28.3% saved)

series58.0ms (0.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
26.0ms	u1	@	0	(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
18.0ms	u1	@	-inf	(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
12.0ms	u1	@	inf	(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
1.0ms	u1	@	inf	(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
0.0ms	u1	@	0	(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))

rewrite64.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1864×	`add-sqr-sqrt`
1834×	`*-un-lft-identity`
1712×	`add-cube-cbrt`
1696×	`add-cbrt-cube`
198×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	67
1	233	67
2	2386	67

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))

Outputs

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

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

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

simplify93.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1008×	`+-commutative`
710×	`*-commutative`
598×	`associate-*r/`
558×	`unswap-sqr`
538×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	2924
1	280	2672
2	1047	2636
3	3726	2636
4	7844	2636

Stop Event

1×	node limit

Counts

96 → 71

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) -1)
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1)
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(.f64 1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 1/6))
(.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (.f64 1/6 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))
(.f64 (.f64 1/6 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) 1) (+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1))))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) -1)
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1)
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) 1) (+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1) 1))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1))))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) 1)
(.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(.f64 1 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2) (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 3)
(pow.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2))
(log.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(exp.f64 (log.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1))

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log1p.f64 (.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log1p.f64 (.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log1p.f64 (.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(log.f64 (+.f64 1 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(log1p.f64 (.f64 (.f64 1/6 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1))) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(log1p.f64 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(log1p.f64 (.f64 1/6 (.f64 (sqrt.f64 -1) (*.f64 (sqrt.f64 -2) (sqrt.f64 (neg.f64 (log.f64 u1)))))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(log.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1))
(log.f64 (fma.f64 1/6 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)) 1))
(log1p.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2))))
(+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) -1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 1/6))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (sqrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (.f64 (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/6))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 1/6 (cbrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (cbrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36)))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (cbrt.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 1/6 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (sqrt.f64 -2)))
(.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 1/6 (cbrt.f64 (.f64 -2 (log.f64 u1)))) (cbrt.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 1/6 (cbrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (cbrt.f64 (.f64 (log.f64 u1) -2)) (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) 1) (+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3) -1) (fma.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3)) (fma.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3)) (+.f64 1 (.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(sqrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) -1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (-.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) 1) (+.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 3) 1) (+.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)) (+.f64 1 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3) -1) (fma.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3)) (fma.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) 3)) (+.f64 1 (.f64 (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1) (fma.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2))))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (cbrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3) 1/3)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(sqrt.f64 (.f64 -2 (.f64 (log.f64 u1) 1/36)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(cbrt.f64 (pow.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 3))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (log.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(exp.f64 (.f64 (log.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(log1p.f64 (expm1.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))))) 1)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 2))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2) (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (sqrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 2)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (cbrt.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 3)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) 1/3)
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(sqrt.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(log.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(cbrt.f64 (pow.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(expm1.f64 (log1p.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(exp.f64 (log.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(exp.f64 (.f64 (log.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))) 1))
(log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (/.f64 1 6) (exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
✓	0.7b	(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

Compiler

Compiled 100 to 74 computations (26% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

900×	`cbrt-prod`
888×	`*-commutative`
816×	`sqrt-prod`
558×	`unswap-sqr`
548×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	258	51
2	2590	51

Stop Event

1×	node limit

Counts

3 → 131

Calls

Call 1

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

Outputs

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

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1260×	`associate-/r*`
1252×	`associate-/l*`
888×	`associate-*r/`
762×	`*-commutative`
578×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	5015
1	491	4775
2	1493	4625
3	3547	4625

Stop Event

1×	node limit

Counts

167 → 134

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (fabs.f64 (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))
(.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (.f64 -2 (cbrt.f64 (log.f64 u1)))))
(.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (.f64 -2 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 (log.f64 u1) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 -2 1/4) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (log.f64 u1) 1/4) (sqrt.f64 (.f64 -2 (sqrt.f64 (log.f64 u1)))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/8) (sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(*.f64 (fabs.f64 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/8))
(.f64 (sqrt.f64 (.f64 -2 (sqrt.f64 (log.f64 u1)))) (pow.f64 (log.f64 u1) 1/4))
(.f64 (sqrt.f64 (.f64 -2 (pow.f64 (cbrt.f64 (log.f64 u1)) 2))) (pow.f64 (log.f64 u1) 1/6))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (*.f64 -2 (log.f64 u1))))) (pow.f64 (log.f64 u1) 1/4))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)) 3))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 -2)) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) 3))
(.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(.f64 (cbrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) (sqrt.f64 -2))) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 -2 (log.f64 u1)))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 -2 (sqrt.f64 -2))))
(cbrt.f64 (.f64 (.f64 -2 (sqrt.f64 -2)) (pow.f64 (log.f64 u1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) 1/36)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))) 1))))
(pow.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)) 1)
(pow.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/4) 2)
(pow.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/6) 3)
(pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 1/2)
(pow.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 3/2) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(fabs.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36)))))
(cbrt.f64 (pow.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))))
(+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) -1)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1)
(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 1 1/2))
(.f64 1 (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (fabs.f64 (sqrt.f64 -2)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/6) (cbrt.f64 (*.f64 -2 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6))
(.f64 (cbrt.f64 (log.f64 u1)) (sqrt.f64 (.f64 -2 (cbrt.f64 (log.f64 u1)))))
(.f64 (cbrt.f64 (log.f64 u1)) (cbrt.f64 (.f64 -2 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 -2) (cbrt.f64 (.f64 (log.f64 u1) (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 -2 1/4) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) (*.f64 -2 (log.f64 u1))))))
(.f64 (pow.f64 (log.f64 u1) 1/4) (sqrt.f64 (.f64 -2 (sqrt.f64 (log.f64 u1)))))
(.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/8) (sqrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/4)))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 2)) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (*.f64 -2 (log.f64 u1))))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 -2 (log.f64 u1))) 4)) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(*.f64 (fabs.f64 (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1)))
(.f64 (fabs.f64 (pow.f64 1 1/2)) (sqrt.f64 (.f64 -2 (log.f64 u1))))
(.f64 (sqrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 3/4)) (pow.f64 (*.f64 -2 (log.f64 u1)) 1/8))
(.f64 (sqrt.f64 (.f64 -2 (sqrt.f64 (log.f64 u1)))) (pow.f64 (log.f64 u1) 1/4))
(.f64 (sqrt.f64 (.f64 -2 (pow.f64 (cbrt.f64 (log.f64 u1)) 2))) (pow.f64 (log.f64 u1) 1/6))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 -2 (*.f64 -2 (log.f64 u1))))) (pow.f64 (log.f64 u1) 1/4))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cbrt.f64 (.f64 -2 (log.f64 u1))))) (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 -2 (log.f64 u1)))) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6)) 3))
(.f64 (pow.f64 (pow.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) (pow.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 3))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 -2)) 3) (pow.f64 (cbrt.f64 (sqrt.f64 (log.f64 u1))) 3))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4)) 3) (pow.f64 (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)) 3))
(.f64 (cbrt.f64 (.f64 (.f64 -2 (log.f64 u1)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/4))) (cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4)))
(.f64 (cbrt.f64 (.f64 (*.f64 -2 (log.f64 u1)) (sqrt.f64 -2))) (cbrt.f64 (sqrt.f64 (log.f64 u1))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 -2 (sqrt.f64 -2))))
(cbrt.f64 (.f64 (.f64 -2 (sqrt.f64 -2)) (pow.f64 (log.f64 u1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
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(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))) (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))) (+.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (exp.f64 (.f64 2 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (pow.f64 (exp.f64 2) (log1p.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))))
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/6) 3)
(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/6) (cbrt.f64 (*.f64 (log.f64 u1) -2)))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/6) 3)
(pow.f64 (cbrt.f64 (*.f64 -2 (log.f64 u1))) 3/2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -2)) 3/2)
(pow.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 4) 1/4)
(pow.f64 (*.f64 4 (pow.f64 (log.f64 u1) 2)) 1/4)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 3) -8) 1/6)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -2))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(fabs.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (-.f64 1 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(cbrt.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 3/2))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 3/2))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 -2 (sqrt.f64 -2))))
(cbrt.f64 (.f64 -2 (.f64 (sqrt.f64 -2) (pow.f64 (log.f64 u1) 3/2))))
(cbrt.f64 (.f64 (.f64 -2 (sqrt.f64 -2)) (pow.f64 (log.f64 u1) 3/2)))
(cbrt.f64 (.f64 -2 (.f64 (sqrt.f64 -2) (pow.f64 (log.f64 u1) 3/2))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))

eval295.0ms (3.1%)

Compiler: Compiled 16774 to 12453 computations (25.8% saved)

prune115.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	600	9	609
Fresh	8	1	9
Picked	1	0	1
Done	3	1	4
Total	612	11	623

Error

Counts

623 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
▶	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.2b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	64.0b	(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Compiler

Compiled 366 to 326 computations (10.9% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.1b	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	2.8b	(pow.f64 u1 -1/18)

Compiler

Compiled 60 to 44 computations (26.7% saved)

series85.0ms (0.9%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
52.0ms	u1	@	-inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
13.0ms	u1	@	inf	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
11.0ms	u1	@	0	(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
6.0ms	u2	@	inf	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
1.0ms	u2	@	0	(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

rewrite105.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`swap-sqr`
530×	`distribute-rgt-in`
486×	`distribute-lft-in`
392×	`associate-*r/`
372×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	63
1	371	63
2	4371	63

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs
(pow.f64 u1 -1/18)
(sqrt.f64 (log.f64 (pow.f64 u1 -1/18)))
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Outputs

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

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (*.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2)) (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)))) 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simplify127.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1082×	`associate-/r*`
826×	`associate-*r/`
640×	`associate-*l/`
620×	`associate-r`
528×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	375	11955
1	953	11689
2	4023	10949

Stop Event

1×	node limit

Counts

161 → 202

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18)))
(sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18)))
(sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18)))
(sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18)))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (pow.f64 (/.f64 1 u1) 1/18))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
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(/.f64 (+.f64 (neg.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/4) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 (+.f64 -1/8 (neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1) (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) 1) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))
(/.f64 (.f64 1 (-.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4))) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (-.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))
(/.f64 (.f64 (+.f64 (neg.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) 1/4) 1) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (.f64 (+.f64 -1/8 (neg.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) 1) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 (.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))
(/.f64 (.f64 (cbrt.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3))) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2)) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/16) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (+.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 2))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) 3) 1/64) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (+.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 2) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (+.f64 1/16 (.f64 1/4 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))))))
(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3))) 1/64) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 3)) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (+.f64 (.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3) (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 3))) (-.f64 1/64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8))))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) 1) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1) (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (neg.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)

Outputs
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(pow.f64 (/.f64 1 u1) 1/18)
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/18) (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/18) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/18) (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/18) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/18) (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(pow.f64 (exp.f64 -1/18) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(exp.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(pow.f64 (exp.f64 -1/18) (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
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(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) -1/2)) 1/4))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) -1/2) 1/4))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2) 2))
(fabs.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 -1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)

localize11.0ms (0.1%)

Compiler: Compiled 26 to 16 computations (38.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
✓	0.6b	(cbrt.f64 u1)

Compiler

Compiled 66 to 40 computations (39.4% saved)

series7.0ms (0.1%)

Counts

3 → 0

Calls

9 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`add-sqr-sqrt`
1470×	`*-un-lft-identity`
1376×	`add-cube-cbrt`
1362×	`add-cbrt-cube`
1346×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	171	39
2	1919	39

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Outputs

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

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

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1138×	`associate-*r/`
1078×	`*-commutative`
1032×	`unswap-sqr`
774×	`associate-*l/`
464×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	1494
1	265	1164
2	907	834
3	3502	828
4	6140	828

Stop Event

1×	node limit

Counts

60 → 72

Calls

Call 1

Inputs
(+.f64 1 (-.f64 (cbrt.f64 u1) 1))
(-.f64 (+.f64 1 (cbrt.f64 u1)) 1)
(*.f64 (cbrt.f64 u1) 1)
(*.f64 1 (cbrt.f64 u1))
(*.f64 (pow.f64 u1 1/6) (pow.f64 u1 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 u1)) (pow.f64 (cbrt.f64 (cbrt.f64 u1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 u1)) 2) (cbrt.f64 (cbrt.f64 u1)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 u1))
(*.f64 (pow.f64 (sqrt.f64 u1) 1/3) (pow.f64 (sqrt.f64 u1) 1/3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 u1) 2) 1/3) (cbrt.f64 (cbrt.f64 u1)))
(pow.f64 u1 1/3)
(pow.f64 (cbrt.f64 u1) 1)
(pow.f64 (pow.f64 u1 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 u1)) 3)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 u1)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 u1))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 u1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 u1)))) (sqrt.f64 (log.f64 (cbrt.f64 u1))))
(sqrt.f64 (pow.f64 (cbrt.f64 u1) 2))
(log.f64 (exp.f64 (cbrt.f64 u1)))
(expm1.f64 (log1p.f64 (cbrt.f64 u1)))
(exp.f64 (log.f64 (cbrt.f64 u1)))
(exp.f64 (*.f64 (log.f64 u1) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 u1)))
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 u1)) 2) 1/36) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 u1)) 2) 1/36))
(log.f64 (pow.f64 (cbrt.f64 u1) -1/6))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3))
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(exp.f64 (log.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 u1) -1/6) 1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(.f64 (pow.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4) (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 u1))) (sqrt.f64 -1/6))
(*.f64 (sqrt.f64 -1/6) (sqrt.f64 (log.f64 (cbrt.f64 u1))))
(.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6))) (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1/2))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 3)
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))

Outputs
(+.f64 1 (-.f64 (cbrt.f64 u1) 1))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(-.f64 (+.f64 1 (cbrt.f64 u1)) 1)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (cbrt.f64 u1) 1)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 1 (cbrt.f64 u1))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (pow.f64 u1 1/6) (pow.f64 u1 1/6))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (cbrt.f64 (cbrt.f64 u1)) (pow.f64 (cbrt.f64 (cbrt.f64 u1)) 2))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 u1)) 2) (cbrt.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (pow.f64 1 1/3) (cbrt.f64 u1))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(*.f64 (pow.f64 (sqrt.f64 u1) 1/3) (pow.f64 (sqrt.f64 u1) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 u1)) (cbrt.f64 (sqrt.f64 u1)))
(pow.f64 (pow.f64 (sqrt.f64 u1) 1/6) 4)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 u1) 2) 1/3) (cbrt.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 u1 1/3)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 (cbrt.f64 u1) 1)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 (pow.f64 u1 1/6) 2)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 (cbrt.f64 (cbrt.f64 u1)) 3)
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 u1))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 u1))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 u1)))) (sqrt.f64 (log.f64 (cbrt.f64 u1))))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(sqrt.f64 (pow.f64 (cbrt.f64 u1) 2))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(log.f64 (exp.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(expm1.f64 (log1p.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(exp.f64 (log.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(exp.f64 (*.f64 (log.f64 u1) 1/3))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(log1p.f64 (expm1.f64 (cbrt.f64 u1)))
(+.f64 1 (+.f64 (cbrt.f64 u1) -1))
(+.f64 (cbrt.f64 u1) 0)
(cbrt.f64 u1)
(-.f64 (+.f64 1 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 3)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(pow.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 u1)) 2) 1/36) 1/2)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 (cbrt.f64 u1)) 2) 1/36))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(log.f64 (pow.f64 (cbrt.f64 u1) -1/6))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(expm1.f64 (log1p.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(exp.f64 (log.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 1 (-.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1))
(+.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 0)
(*.f64 (log.f64 (cbrt.f64 u1)) -1/6)
(log1p.f64 (-.f64 (pow.f64 (cbrt.f64 u1) -1/6) 1))
(log1p.f64 (+.f64 (pow.f64 (cbrt.f64 u1) -1/6) -1))
(-.f64 (+.f64 1 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 1 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (pow.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4) (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 u1))) (sqrt.f64 -1/6))
(*.f64 (sqrt.f64 -1/6) (sqrt.f64 (log.f64 (cbrt.f64 u1))))
(*.f64 (sqrt.f64 -1/6) (sqrt.f64 (log.f64 (cbrt.f64 u1))))
(*.f64 (sqrt.f64 (log.f64 (cbrt.f64 u1))) (sqrt.f64 -1/6))
(.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6))) (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 1/4) 2)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(pow.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3/2) 1/3)
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(cbrt.f64 (pow.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6) 3/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1/2))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6))) 1))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))))
(+.f64 1 (-.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 1))
(+.f64 (sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6)) 0)
(sqrt.f64 (*.f64 (log.f64 (cbrt.f64 u1)) -1/6))

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))

Compiler

Compiled 72 to 50 computations (30.6% saved)

series39.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	u1	@	inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
12.0ms	u1	@	-inf	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
11.0ms	u1	@	0	(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
0.0ms	u1	@	0	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
0.0ms	u1	@	inf	(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1724×	`add-sqr-sqrt`
1682×	`*-un-lft-identity`
1588×	`add-cube-cbrt`
1572×	`add-cbrt-cube`
188×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	201	32
2	2293	32

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

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

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

simplify79.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1362×	`associate-r`
1204×	`associate-l`
524×	`distribute-lft-neg-in`
522×	`exp-prod`
502×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	1464
1	269	1458
2	755	1406
3	3929	1392

Stop Event

1×	node limit

Counts

72 → 62

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 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 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -1/18 3/2)))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4) 1/3))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -1/18 3/2) 1/3))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))) 1)
(.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (*.f64 (log.f64 u1) -1/18))
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4))
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -1/18 3/2))
(*.f64 (pow.f64 -1/18 3/2) (pow.f64 (log.f64 u1) 3/2))
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(exp.f64 (.f64 3/2 (log.f64 (.f64 (log.f64 u1) -1/18))))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 1 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 (pow.f64 (neg.f64 (log.f64 u1)) 3)) (sqrt.f64 1/5832))
(*.f64 (sqrt.f64 1/5832) (pow.f64 (neg.f64 (log.f64 u1)) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(.f64 (sqrt.f64 (pow.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 (pow.f64 (log.f64 u1) 3)) (sqrt.f64 -1/5832))
(*.f64 (sqrt.f64 -1/5832) (pow.f64 (log.f64 u1) 3/2))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -1/18 3/2)))
(.f64 (pow.f64 1 1/3) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) 1/3) (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4) 1/3))
(.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4)) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4)))
(*.f64 (pow.f64 (pow.f64 (log.f64 u1) 3/2) 1/3) (pow.f64 (pow.f64 -1/18 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 u1) 3/2)) (cbrt.f64 (pow.f64 -1/18 3/2)))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 1/3)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1/3))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) 1))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))) 1)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2) 1)
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (*.f64 (log.f64 u1) -1/18))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 1 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/4))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(*.f64 (pow.f64 (log.f64 u1) 3/2) (pow.f64 -1/18 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(*.f64 (pow.f64 -1/18 3/2) (pow.f64 (log.f64 u1) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (sqrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (.f64 (.f64 (log.f64 u1) -1/18) (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 1 3/2) (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 3/2) (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 3/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 3/2))
(sqrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(log.f64 (exp.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2) 3))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(exp.f64 (.f64 3/2 (log.f64 (.f64 (log.f64 u1) -1/18))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(exp.f64 (.f64 (.f64 3/2 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 3/2)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)

Compiler

Compiled 75 to 53 computations (29.3% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
1.0ms	u1	@	inf	(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
1.0ms	u2	@	inf	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
0.0ms	u1	@	inf	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

rewrite118.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`distribute-rgt-in`
520×	`distribute-lft-in`
410×	`add-sqr-sqrt`
396×	`*-un-lft-identity`
392×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	60
1	418	56
2	4885	56

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 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 *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8) (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 u1) 1/4) (*.f64 (pow.f64 -1/18 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2)))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 u1) 1/4) (pow.f64 (log.f64 u1) 1/4)) (*.f64 (pow.f64 -1/18 1/4) (pow.f64 -1/18 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8)) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) (cbrt.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (log.f64 u1) 1/4)) (pow.f64 -1/18 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/324 (pow.f64 (log.f64 u1) 2))) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (log.f64 u1) 1/4) 2) (pow.f64 (pow.f64 -1/18 1/4) 2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (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 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 log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))))

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simplify130.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1670×	`distribute-rgt-in`
1662×	`distribute-lft-in`
1066×	`associate-/r*`
782×	`associate-*r/`
632×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	339	11856
1	858	11378
2	3354	10976

Stop Event

1×	node limit

Counts

138 → 204

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 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 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
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(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 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 (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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 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 (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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 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 (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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 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 (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 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (sqrt.f64 (fma.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1)))) (+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 -1/18)) (pow.f64 (PI.f64) 2))) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2))
(fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1)))) (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4)))) (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -2 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 -1/18)) (pow.f64 (PI.f64) 2))) (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))) (.f64 (.f64 -2 (.f64 u2 u2)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (pow.f64 u2 4) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) (.f64 -4/45 (.f64 (.f64 (pow.f64 u2 6) (*.f64 (pow.f64 (PI.f64) 6) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 u1))))))))
(fma.f64 -2 (.f64 (.f64 u2 u2) (.f64 (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)) (sqrt.f64 (log.f64 u1)))) (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4)))) (+.f64 1/2 (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) (.f64 -4/45 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (*.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)) (sqrt.f64 -1/18))))))))
(+.f64 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -1/18) (.f64 (.f64 -4/45 (pow.f64 u2 6)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 6)))))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 -2 (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 -1/18)) (pow.f64 (PI.f64) 2))) (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))))))
(+.f64 1/2 (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -1/18) (.f64 (.f64 -4/45 (pow.f64 u2 6)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 6))))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (.f64 2/3 (pow.f64 u2 4)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))) (.f64 (.f64 -2 (.f64 u2 u2)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/8) (.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/8) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
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(+.f64 (.f64 (/.f64 (.f64 (log.f64 u1) -1/18) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2)) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)) (/.f64 -1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2)))
(/.f64 (fma.f64 (log.f64 u1) (.f64 -1/18 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2)) -1/4) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -1/2))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1) (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) -1/2) 1/4))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) -1/2) 1/4))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) -1/2) 1/4))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) -1/2) 1/4))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (+.f64 1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) -1/2) 1/4))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3)) (fma.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) -1/2) 1/4))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(neg.f64 (/.f64 (+.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2)) -1/4) (neg.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))))
(/.f64 (-.f64 1/4 (.f64 (log.f64 u1) (.f64 -1/18 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))))
(/.f64 (fma.f64 (.f64 (log.f64 u1) 1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2) 1/4) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (fma.f64 (.f64 (log.f64 u1) 1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2) 1/4) (-.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))))))
(/.f64 (-.f64 -1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (+.f64 -1/4 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2))))))
(/.f64 (-.f64 -1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) 3)) (-.f64 -1/4 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1/2))))
(/.f64 (-.f64 -1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 3)) (-.f64 -1/4 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2) 2))
(fabs.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(fabs.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) (.f64 -1/18 (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (log.f64 u1) (.f64 -1/18 (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)

eval627.0ms (6.6%)

Compiler: Compiled 21542 to 15281 computations (29.1% saved)

prune180.0ms (1.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	693	3	696
Fresh	0	5	5
Picked	0	1	1
Done	2	3	5
Total	695	12	707

Error

Counts

707 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
▶	0.6b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
✓	0.5b	(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.6b	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.3b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.3b	(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
✓	0.5b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
▶	0.9b	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
	0.9b	(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))

Compiler

Compiled 332 to 296 computations (10.8% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	0.2b	(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)

Compiler

Compiled 70 to 41 computations (41.4% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite159.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

558×	`distribute-rgt-in`
506×	`distribute-lft-in`
486×	`associate-*r/`
426×	`associate-*l/`
412×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	64
1	412	56
2	4926	56

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 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 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 2)))) (#(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 (*.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 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 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 log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18)) (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change 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(2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3)) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18)) (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18))) (*.f64 (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2))) (-.f64 1/4 (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)))))) (+.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (log.f64 u1) 1/18)) -1/4) (*.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/8 (pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 3)) (+.f64 (pow.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 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simplify206.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1646×	`distribute-lft-in`
1272×	`associate-/r*`
864×	`associate-*r/`
678×	`associate-*l/`
490×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	316	11535
1	838	11111
2	3575	11101

Stop Event

1×	node limit

Counts

127 → 199

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1))))
(+.f64 1/2 (+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1))))))
(+.f64 1/2 (+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1))) (.f64 -4/45 (.f64 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (*.f64 (sqrt.f64 1/18) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))) 1)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1)
(pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))) 3)
(pow.f64 (*.f64 (log.f64 u1) 1/18) 1/2)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 3) 1/3)
(sqrt.f64 (*.f64 (log.f64 u1) 1/18))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 3))
(cbrt.f64 (.f64 (pow.f64 (log.f64 u1) 3/2) (.f64 1/18 (sqrt.f64 1/18))))
(cbrt.f64 (.f64 (.f64 1/18 (sqrt.f64 1/18)) (pow.f64 (log.f64 u1) 3/2)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)
(-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))))) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 2) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
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(/.f64 (.f64 (-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1/64) (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 3) 1/8))
(/.f64 (.f64 (+.f64 1/512 (pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (+.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (-.f64 1/64 (.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3) 1/8))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) -1/4) 1) (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) -1/2))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) -1/4) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2))) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) -1/4) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) -1/2)))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) 1) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))))
(/.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 3)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18)) (-.f64 1/4 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) 1/2))))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)

Outputs
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 -1 (sqrt.f64 1/18)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 1/18) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 -1 (sqrt.f64 1/18)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 1/18) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 -1 (sqrt.f64 1/18)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 1/18) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (sqrt.f64 1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 -1 (sqrt.f64 1/18)) (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (sqrt.f64 1/18) (.f64 -1 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 1/18)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 u1))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 1/2)
(fma.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 (sqrt.f64 1/18) (neg.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 1/18))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
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(pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 3)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3) 1/3)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2) 2))
(fabs.f64 (fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2))
(fabs.f64 (fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (sqrt.f64 (*.f64 (log.f64 u1) 1/18)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))) 1/2)
(fma.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (log.f64 u1) 1/18))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) 1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (.f64 1/18 (log.f64 u1)) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 1/18 (.f64 (log.f64 u1) (pow.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2)))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 1/18 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
✓	0.1b	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
✓	0.4b	(*.f64 -1/18 (log.f64 u1))

Compiler

Compiled 23 to 15 computations (34.8% saved)

series1.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
0.0ms	u1	@	inf	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
0.0ms	u1	@	0	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
0.0ms	u1	@	-inf	(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
0.0ms	u1	@	-inf	(*.f64 -1/18 (log.f64 u1))

rewrite100.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1974×	`add-sqr-sqrt`
1942×	`*-un-lft-identity`
1822×	`add-cube-cbrt`
1808×	`add-cbrt-cube`
194×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	205	47
2	2442	47

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(*.f64 -1/18 (log.f64 u1))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))))))

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

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

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

998×	`associate--r+`
820×	`+-commutative`
662×	`distribute-lft-in`
630×	`fma-def`
628×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2938
1	375	2776
2	1479	2556
3	6239	2556

Stop Event

1×	node limit

Counts

104 → 103

Calls

Call 1

Inputs
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)
(pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(log.f64 (pow.f64 u1 -1/18))
(log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))
(expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))
(exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)
(.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1)
(.f64 1 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/2)
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3)
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))) 1)
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2) 1)
(.f64 1 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1))) (/.f64 1 (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (/.f64 1 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(/.f64 1 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (+.f64 1/4 (.f64 1/18 (log.f64 u1)))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2))))
(/.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1))) (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (+.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))))
(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(/.f64 (neg.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1)))) (neg.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 1)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 2))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 3))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) 1))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(fma.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(fma.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)

Outputs
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(*.f64 1/18 (log.f64 (/.f64 1 u1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))
(*.f64 -1/18 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(*.f64 -1/18 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))))
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (*.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18)))
(+.f64 (*.f64 (sqrt.f64 -1/18) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1)))) 1)
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1)
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 2)
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 3)
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(pow.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324) 1/2)
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(fabs.f64 (*.f64 -1/18 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3) 1/3)
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(sqrt.f64 (*.f64 (pow.f64 (log.f64 u1) 2) 1/324))
(fabs.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (pow.f64 u1 -1/18))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(log.f64 (+.f64 1 (-.f64 (pow.f64 u1 -1/18) 1)))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(expm1.f64 (log1p.f64 (*.f64 -1/18 (log.f64 u1))))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(exp.f64 (log.f64 (*.f64 -1/18 (log.f64 u1))))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(log1p.f64 (-.f64 (pow.f64 u1 -1/18) 1))
(*.f64 1/18 (neg.f64 (log.f64 u1)))
(*.f64 -1/18 (log.f64 u1))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))) 1)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(.f64 1 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (cbrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1)))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (sqrt.f64 (cbrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/2)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(pow.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3)
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(sqrt.f64 (*.f64 -1/18 (log.f64 u1)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))) 1)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2) 1)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 1 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (sqrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) 2) (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1))) (/.f64 1 (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (/.f64 1 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))))
(.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (fma.f64 -1/18 (log.f64 u1) 1/4)))
(/.f64 1 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (+.f64 1/4 (.f64 1/18 (log.f64 u1)))))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 1 (/.f64 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))) (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2))))
(.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (fma.f64 -1/18 (log.f64 u1) 1/4)))
(/.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1))) (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))))
(.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (fma.f64 -1/18 (log.f64 u1) 1/4)))
(/.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2)) (+.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/4 (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))))
(.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (fma.f64 -1/18 (log.f64 u1) 1/4)))
(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (neg.f64 (+.f64 1/4 (.f64 1/18 (log.f64 u1)))) (neg.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))
(-.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 (.f64 -1/18 (log.f64 u1)) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))))
(+.f64 (/.f64 1/4 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))) (/.f64 1/18 (/.f64 (-.f64 1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) (log.f64 u1))))
(/.f64 (fma.f64 1/18 (log.f64 u1) 1/4) (-.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (neg.f64 (+.f64 1/8 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2))) (neg.f64 (+.f64 1/4 (+.f64 (.f64 -1/18 (log.f64 u1)) (.f64 -1/2 (sqrt.f64 (.f64 -1/18 (log.f64 u1))))))))
(.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (/.f64 1 (+.f64 1/4 (fma.f64 -1/18 (log.f64 u1) (.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (+.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (*.f64 -1/18 (log.f64 u1)))))
(/.f64 (+.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 3/2) 1/8) (fma.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) -1/2 (fma.f64 -1/18 (log.f64 u1) 1/4)))
(pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 1)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(pow.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 3) 1/3)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(sqrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 2))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log.f64 (exp.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2))))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2) 3))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(exp.f64 (.f64 (log.f64 (+.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2)) 1))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(log1p.f64 (expm1.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(fma.f64 1 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(fma.f64 (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (pow.f64 (.f64 -1/18 (log.f64 u1)) 1/4) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(fma.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(fma.f64 (cbrt.f64 (.f64 -1/18 (log.f64 u1))) (cbrt.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1)))) 1/2)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
	0.1b	(sqrt.f64 (*.f64 -2 (log.f64 u1)))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)

Compiler

Compiled 71 to 49 computations (31% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite124.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`distribute-rgt-in`
524×	`distribute-lft-in`
406×	`add-sqr-sqrt`
392×	`associate-*r/`
388×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	408	68
2	4765	68

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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(log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 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 2 (*.f64 (PI.f64) u2)))) 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 2 (*.f64 (PI.f64) u2)))) 1/2)) 1))))) (#(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 2 (*.f64 (PI.f64) u2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) (sqrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 2) (*.f64 (*.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (*.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)))))

simplify235.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1642×	`associate-/l*`
1522×	`distribute-lft-in`
1042×	`associate-/r*`
842×	`associate-*r/`
650×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	321	12906
1	839	12162
2	3361	11714

Stop Event

1×	node limit

Counts

124 → 180

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.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 -1) (.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 -1) (.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 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))) 1)
(pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1)
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 2)
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)) 3)
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3) 1/3)
(sqrt.f64 (.f64 (.f64 -2 (log.f64 u1)) 1/36))
(log.f64 (pow.f64 (exp.f64 1/6) (sqrt.f64 (*.f64 -2 (log.f64 u1)))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 3))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 -2 (log.f64 u1))) 1/6)) 1))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))))) 1/2)
(-.f64 (/.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (/.f64 1/4 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2)))
(-.f64 (+.f64 1/2 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))))) 1)
(.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2) 1)
(.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2))
(.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))
(.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 2) (cbrt.f64 (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 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))
(.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)) (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))
(.f64 (/.f64 1 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4))
(.f64 (/.f64 1 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))) (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4)) (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 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (-.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3) 1/8)) (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) (.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))))
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(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) 1) (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 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2))) (sqrt.f64 (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 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)) (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))) (cbrt.f64 (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 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)) 1) (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (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 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2))))) (sqrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (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 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)) (.f64 (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))) (cbrt.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) -1/2)))))
(pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36)) -1/4) (+.f64 (.f64 -1/6 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 1/2)))
(neg.f64 (/.f64 (+.f64 1/8 (pow.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) 3)) (neg.f64 (+.f64 1/4 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))))) (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) -1/2))))))
(sqrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 2))
(log.f64 (exp.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))
(exp.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (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)
(fma.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)
(fma.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) 1/2)
(fma.f64 1 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))))) 1/2)
(fma.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (sqrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 2) (.f64 (.f64 -2 (log.f64 u1)) 1/36))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) (.f64 1/6 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) 1/2)

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

localize59.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (*.f64 (log.f64 u1) -1/18))
✓	0.3b	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
	0.3b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)

Compiler

Compiled 80 to 56 computations (30% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	0	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	-inf	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	inf	(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
0.0ms	u1	@	-inf	(log.f64 (*.f64 (log.f64 u1) -1/18))
0.0ms	u1	@	inf	(log.f64 (*.f64 (log.f64 u1) -1/18))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1806×	`add-sqr-sqrt`
1780×	`*-un-lft-identity`
1658×	`add-cube-cbrt`
1642×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	210	30
2	2327	30

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2))
(log.f64 (*.f64 (log.f64 u1) -1/18))

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 *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))))) (#(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 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)))) (#(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 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (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 expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(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 +.f64 (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 -1/18) (log.f64 (log.f64 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 2)) (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (log.f64 u1)) 1) (*.f64 (log.f64 -1/18) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (*.f64 (log.f64 u1) -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2) (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (*.f64 (log.f64 -1/18) (log.f64 -1/18))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (+.f64 (*.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (-.f64 (*.f64 (log.f64 -1/18) (log.f64 -1/18)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (*.f64 (log.f64 u1) -1/18) 1))))))

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1066×	`unswap-sqr`
812×	`*-commutative`
710×	`associate-/l*`
674×	`distribute-lft-in`
648×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	137	1531
1	290	1495
2	1074	1483
3	4753	1483

Stop Event

1×	node limit

Counts

75 → 66

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 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 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(+.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18))
(+.f64 (log.f64 -1/18) (log.f64 (log.f64 u1)))
(+.f64 0 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (log.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 (.f64 (log.f64 (log.f64 u1)) 1) (.f64 (log.f64 -1/18) 1))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1)
(.f64 1 (log.f64 (.f64 (log.f64 u1) -1/18)))
(.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) 2) (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(/.f64 (-.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (.f64 (log.f64 -1/18) (log.f64 -1/18))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (+.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (-.f64 (.f64 (log.f64 -1/18) (log.f64 -1/18)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))
(pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2)
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 2))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) 1))
(log1p.f64 (-.f64 (*.f64 (log.f64 u1) -1/18) 1))

Outputs
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 1/18))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 -1/18 (log.f64 u1)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (*.f64 1/18 (log.f64 (/.f64 1 u1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (.f64 -1/18 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(*.f64 (sqrt.f64 -1/18) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (cbrt.f64 (*.f64 (log.f64 u1) -1/18)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18)) 1/2))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) (sqrt.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (*.f64 (log.f64 u1) -1/18) 1/2)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (pow.f64 (*.f64 (log.f64 u1) -1/18) 1/4) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (exp.f64 1/2) (log.f64 (*.f64 (log.f64 u1) -1/18)))
(pow.f64 (exp.f64 1) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))) (sqrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(fabs.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18))))
(sqrt.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))) (log.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (log.f64 -1/18) (log.f64 (log.f64 u1)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 0 (log.f64 (*.f64 (log.f64 u1) -1/18)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)) 2)) (log.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18)))) (log.f64 (cbrt.f64 (*.f64 (log.f64 u1) -1/18))))
(.f64 3 (log.f64 (cbrt.f64 (.f64 (log.f64 u1) -1/18))))
(+.f64 (.f64 (log.f64 (log.f64 u1)) 1) (.f64 (log.f64 -1/18) 1))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)))) 1)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 1 (log.f64 (.f64 (log.f64 u1) -1/18)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (sqrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) (pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) 2) (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(/.f64 (-.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (.f64 (log.f64 -1/18) (log.f64 -1/18))) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (+.f64 (.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1))) (-.f64 (.f64 (log.f64 -1/18) (log.f64 -1/18)) (*.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (fma.f64 (log.f64 (log.f64 u1)) (log.f64 (log.f64 u1)) (*.f64 (log.f64 -1/18) (-.f64 (log.f64 -1/18) (log.f64 (log.f64 u1))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (log.f64 u1)) 3) (pow.f64 (log.f64 -1/18) 3)) (fma.f64 (log.f64 -1/18) (log.f64 -1/18) (*.f64 (log.f64 (log.f64 u1)) (-.f64 (log.f64 (log.f64 u1)) (log.f64 -1/18)))))
(pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 1)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (sqrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 2)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (cbrt.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))) 3)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(pow.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3) 1/3)
(log.f64 (*.f64 (log.f64 u1) -1/18))
(sqrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 2))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(cbrt.f64 (pow.f64 (log.f64 (*.f64 (log.f64 u1) -1/18)) 3))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(expm1.f64 (log1p.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (log.f64 (log.f64 (*.f64 (log.f64 u1) -1/18))))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(exp.f64 (.f64 (log.f64 (log.f64 (.f64 (log.f64 u1) -1/18))) 1))
(log.f64 (*.f64 (log.f64 u1) -1/18))
(log1p.f64 (-.f64 (*.f64 (log.f64 u1) -1/18) 1))
(log1p.f64 (fma.f64 (log.f64 u1) -1/18 -1))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))
✓	0.3b	(*.f64 (PI.f64) u2)
	0.4b	(*.f64 (log.f64 u1) -1/18)
✓	0.5b	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)

Compiler

Compiled 76 to 46 computations (39.5% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	0	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
1.0ms	u2	@	inf	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
1.0ms	u1	@	inf	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
1.0ms	u1	@	0	(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
1.0ms	u2	@	0	(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))

rewrite163.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1218×	`unswap-sqr`
1066×	`swap-sqr`
558×	`distribute-rgt-in`
506×	`distribute-lft-in`
378×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	95
1	400	95
2	4318	95

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

Inputs

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

(*.f64 (PI.f64) u2)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2)))) 1) 1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1/4) (*.f64 (pow.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1/4) (sqrt.f64 (fma.f64 (sqrt.f64 (*.f64 (log.f64 u1) -1/18)) (cos.f64 (*.f64 2 (*.f64 (PI.f64) u2))) 1/2))))))) 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simplify158.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1132×	`fma-def`
862×	`distribute-lft-in`
850×	`distribute-rgt-in`
576×	`associate-r`
460×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	9005
1	772	8613
2	2566	8073
3	7718	8073

Stop Event

1×	node limit

Counts

141 → 153

Calls

Call 1

Inputs
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(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
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(*.f64 u2 (PI.f64))
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(*.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))
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(pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 1)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 3)
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))

Outputs
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) 1/2)
(fma.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (log.f64 u1)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(fma.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -1/18) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (.f64 (sqrt.f64 -1) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -1/18))))
(+.f64 1/2 (.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (fma.f64 -1 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(fma.f64 (.f64 (sqrt.f64 -1/18) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) 1/2)
(fma.f64 (sqrt.f64 -1/18) (.f64 (sqrt.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/2)
(+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))
(fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 -1/18)) (pow.f64 (PI.f64) 2))) (+.f64 1/2 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))
(fma.f64 (.f64 (.f64 -2 (pow.f64 (*.f64 u2 (PI.f64)) 2)) (sqrt.f64 -1/18)) (sqrt.f64 (log.f64 u1)) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2))
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -1/18) (.f64 (.f64 -2 (pow.f64 (.f64 u2 (PI.f64)) 2)) (sqrt.f64 -1/18)))))
(+.f64 (.f64 -2 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 (pow.f64 u2 4) (-.f64 (+.f64 (.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (pow.f64 (PI.f64) 4) (sqrt.f64 -1/18)))) (/.f64 (.f64 (log.f64 u1) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (sqrt.f64 -1/18) 2))) (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (pow.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 (log.f64 u1) (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (.f64 (pow.f64 (PI.f64) 2) (sqrt.f64 -1/18)))) 2))) (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(fma.f64 -2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (.f64 u2 u2) (sqrt.f64 -1/18)) (pow.f64 (PI.f64) 2))) (fma.f64 (pow.f64 u2 4) (-.f64 (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))) (/.f64 (log.f64 u1) (/.f64 (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 (sqrt.f64 -1/18) 2))))) (pow.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 u1) (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))))) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) 2)) (+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)))))
(fma.f64 -2 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18))) (fma.f64 (pow.f64 u2 4) (-.f64 (fma.f64 2/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 4))) (.f64 (/.f64 (log.f64 u1) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)) (.f64 (pow.f64 (PI.f64) 4) -1/18))) (pow.f64 (.f64 (sqrt.f64 (/.f64 (log.f64 u1) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2))) (neg.f64 (*.f64 (sqrt.f64 -1/18) (pow.f64 (PI.f64) 2)))) 2)) (fma.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18) 1/2)))
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(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 1/4) 2)
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(pow.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))) 3)
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(pow.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3/2) 1/3)
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2) 3/2))
(fabs.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(log.f64 (exp.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)))))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2) 3/2))
(cbrt.f64 (pow.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(exp.f64 (.f64 (log.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 1/2))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2))) 1))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2))))
(sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/2))

eval661.0ms (7%)

Compiler: Compiled 28419 to 20431 computations (28.1% saved)

prune501.0ms (5.3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	859	10	869
Fresh	1	2	3
Picked	1	0	1
Done	5	3	8
Total	866	15	881

Error

Counts

881 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
	1.2b	(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)
	1.8b	(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
	1.0b	(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
✓	0.3b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
✓	0.2b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
	1.3b	(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3))
	1.2b	(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2))
	1.8b	(+.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3))
✓	0.9b	(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
	0.9b	(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
	1.0b	(+.f64 1/2 (exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2)))
	1.1b	(+.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2)))
	1.2b	(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
	1.1b	(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))

Compiler

Compiled 189 to 169 computations (10.6% saved)

regimes170.0ms (1.8%)

Counts

37 → 1

Calls

Call 1

Inputs
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2)))
(+.f64 1/2 (exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (cbrt.f64 u1)) -1/6)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(fma.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (.f64 2 u2) (PI.f64)))) 1/2)
(+.f64 (.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 3/2)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (sqrt.f64 1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (exp.f64 (.f64 (log.f64 (.f64 (log.f64 u1) -1/18)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (pow.f64 (pow.f64 (.f64 (log.f64 u1) -1/18) 1/4) 2) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (.f64 1/6 (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (cbrt.f64 (pow.f64 (.f64 (log.f64 u1) -2) 3/2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/4) 2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (expm1.f64 (log1p.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))) 1/2)
(+.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1))))) 2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.f64 1 6) (exp.f64 (log.f64 (sqrt.f64 (.f64 -2 (log.f64 u1)))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(pow.f64 (sqrt.f64 (fma.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/2)) 2)
(cbrt.f64 (pow.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) 3))
(pow.f64 (cbrt.f64 (fma.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (log.f64 u1)))) (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2)) 3)
(fma.f64 (cbrt.f64 (.f64 (.f64 (log.f64 u1) -1/18) (pow.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) 2))) (cbrt.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))) 1/2)

Outputs
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)

Calls

10 calls:

21.0ms	(.f64 (.f64 2 (PI.f64)) u2)
17.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
17.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
16.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
16.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
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)`
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)))`
0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 636 to 495 computations (22.2% saved)

regimes125.0ms (1.3%)

Counts

18 → 1

Calls

Call 1

Inputs
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2)))
(+.f64 1/2 (exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 -2 (log.f64 u1))) 1/6) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (.f64 (/.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 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)

Calls

10 calls:

41.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
10.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
9.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
9.0ms	u2
9.0ms	(*.f64 -2 (log.f64 u1))

Results

Error	Segments	Branch
0.2b	1	`u1`
0.2b	1	`u2`
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)`
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)))`
0.2b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.2b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.2b	1	`(*.f64 -2 (log.f64 u1))`
0.2b	1	`(log.f64 u1)`
0.2b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.2b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 291 to 235 computations (19.2% saved)

regimes71.0ms (0.7%)

Accuracy

Total -63.1b remaining (-7412.6%)

Threshold costs -63.1b (-7412.6%)

Counts

14 → 1

Calls

Call 1

Inputs
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 (*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -1/18)) 1/2)
(+.f64 1/2 (cbrt.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2)))
(+.f64 1/2 (exp.f64 (.f64 (log.f64 (.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 1/4) 2))
(+.f64 1/2 (pow.f64 (pow.f64 (*.f64 -1/18 (log.f64 u1)) 3/2) 1/3))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(/.f64 (-.f64 (.f64 -1/18 (log.f64 u1)) 1/4) (-.f64 (sqrt.f64 (.f64 -1/18 (log.f64 u1))) 1/2))
(exp.f64 (log.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(expm1.f64 (log1p.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)))
(+.f64 1/2 (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1)))) 3))
(pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))) 1/2)) 2)

Outputs
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))

Calls

3 calls:

51.0ms	u1
9.0ms	u2
7.0ms	(log.f64 u1)

Results

Error	Segments	Branch
0.9b	1	`u1`
0.9b	1	`u2`
0.9b	1	`(log.f64 u1)`

Compiler

Compiled 145 to 113 computations (22.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

10×	`*-commutative`
8×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	132
1	37	132

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))

Outputs
(+.f64 (.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -1/18)) (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))) 1/2)
(+.f64 1/2 (.f64 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)) (sqrt.f64 (.f64 -1/18 (log.f64 u1)))))
(+.f64 1/2 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))))
(+.f64 (sqrt.f64 (log.f64 (pow.f64 u1 -1/18))) 1/2)
(+.f64 1/2 (sqrt.f64 (*.f64 -1/18 (log.f64 u1))))

Compiler

Compiled 50 to 44 computations (12% saved)

soundness157.0ms (1.7%)

Algorithm

2×	egg-herbie

Rules

1334×	`associate-/r*`
1160×	`associate-/r*`
862×	`associate-*r/`
806×	`associate-*r/`
688×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	384	13751
1	972	12749
2	3948	12647
0	367	12205
1	927	11917
2	3884	11147

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 94 to 75 computations (20.2% saved)

end51.0ms (0.5%)

Compiler: Compiled 44 to 36 computations (18.2% saved)

Details

analyze33.0ms (0.3%)

sample2.0s (20.7%)

preprocess227.0ms (2.4%)

simplify182.0ms (1.9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize38.0ms (0.4%)

series62.0ms (0.6%)

rewrite108.0ms (1.1%)

simplify149.0ms (1.6%)

eval173.0ms (1.8%)

prune52.0ms (0.6%)

localize26.0ms (0.3%)

series5.0ms (0.1%)

rewrite100.0ms (1.1%)

simplify129.0ms (1.4%)

localize14.0ms (0.2%)

localize31.0ms (0.3%)

series3.0ms (0%)

rewrite68.0ms (0.7%)

simplify58.0ms (0.6%)

localize42.0ms (0.4%)

series58.0ms (0.6%)

rewrite64.0ms (0.7%)

simplify93.0ms (1%)

localize50.0ms (0.5%)

series1.0ms (0%)

rewrite73.0ms (0.8%)

simplify92.0ms (1%)

eval295.0ms (3.1%)

prune115.0ms (1.2%)

localize36.0ms (0.4%)

series85.0ms (0.9%)

rewrite105.0ms (1.1%)

simplify127.0ms (1.3%)

localize11.0ms (0.1%)

localize27.0ms (0.3%)

series7.0ms (0.1%)

rewrite61.0ms (0.6%)

simplify69.0ms (0.7%)

localize35.0ms (0.4%)

series39.0ms (0.4%)

rewrite62.0ms (0.7%)

simplify79.0ms (0.8%)

localize35.0ms (0.4%)

series4.0ms (0%)

rewrite118.0ms (1.2%)

simplify130.0ms (1.4%)

eval627.0ms (6.6%)

prune180.0ms (1.9%)

localize29.0ms (0.3%)

series6.0ms (0.1%)

rewrite159.0ms (1.7%)

simplify206.0ms (2.2%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite100.0ms (1.1%)

simplify124.0ms (1.3%)

localize27.0ms (0.3%)

series1.0ms (0%)

rewrite124.0ms (1.3%)

simplify235.0ms (2.5%)

localize59.0ms (0.6%)

series1.0ms (0%)

rewrite62.0ms (0.7%)

simplify65.0ms (0.7%)

localize48.0ms (0.5%)

series8.0ms (0.1%)

rewrite163.0ms (1.7%)

simplify158.0ms (1.7%)

eval661.0ms (7%)

prune501.0ms (5.3%)

regimes170.0ms (1.8%)

regimes125.0ms (1.3%)

regimes71.0ms (0.7%)

simplify6.0ms (0.1%)

soundness157.0ms (1.7%)

end51.0ms (0.5%)

Profiling