Details

analyze37.0ms (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)

sample1.9s (15.8%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess195.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

2084×	`rational.json-simplify-2`
1696×	`rational.json-simplify-35`
1252×	`rational.json-simplify-1`
1058×	`rational.json-simplify-51`
890×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	51	106
2	85	106
3	145	106
4	291	106
5	626	106
6	1584	106
7	3263	106
8	4594	106
9	5564	106
10	6335	106
11	7256	106
12	7862	106
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)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 -2))))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))
(+.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)
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2)) (cos.f64 (.f64 u1 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (cos.f64 (.f64 u1 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u1 2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (cos.f64 (.f64 (PI.f64) (+.f64 u1 u1))))))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify712.0ms (6%)

Algorithm

1×	egg-herbie

Rules

3204×	`rational.json-simplify-35`
2024×	`rational.json-simplify-2`
1606×	`rational.json-simplify-1`
760×	`rational.json-simplify-53`
682×	`rational.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	34	53
2	52	53
3	85	53
4	168	53
5	353	53
6	877	53
7	1829	53
8	2704	53
9	3466	53
10	4076	53
11	5148	53
12	5779	53
13	6012	53
14	6176	53
15	6490	53
16	6940	53
17	6977	53
18	7238	53
19	7263	53
20	7263	53
21	7424	53
22	7585	53
23	7746	53
24	7907	53

Stop Event

1×	node limit

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 106 to 84 computations (20.8% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.4b

Counts

7 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 19 to 17 computations (10.5% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.1b	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
✓	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
✓	0.4b	(.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Compiler

Compiled 75 to 53 computations (29.3% saved)

series62.0ms (0.5%)

Counts

4 → 60

Calls

15 calls:

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

rewrite124.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1530×	`rational.json-1`
1530×	`rational.json-2`
1530×	`rational.json-3`
1496×	`rational.json-simplify-35`
1490×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
1	133	108
2	265	108
3	573	108
4	1201	108
5	2868	108
6	5074	108
7	7114	108

Stop Event

1×	node limit

Counts

4 → 98

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/12) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (.f64 2 (.f64 (PI.f64) u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 -1 (.f64 -2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (.f64 2 (.f64 (PI.f64) u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) u2) (.f64 (PI.f64) u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (.f64 (PI.f64) u2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 (PI.f64) u2)) (+.f64 -1 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (.f64 2 (.f64 (PI.f64) u2)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 (PI.f64) u2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -2 (.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (.f64 -2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 (.f64 -2 (.f64 (PI.f64) u2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 2 (.f64 (PI.f64) u2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 -1 (.f64 -2 (.f64 (PI.f64) u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (.f64 (PI.f64) u2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 u2 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 u2 (.f64 (PI.f64) 8)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 -4 u2)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8))))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 u2 (.f64 (PI.f64) 8)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (neg.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8))))) (.f64 2 (neg.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -2 (.f64 (PI.f64) u2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -2 1/2) (pow.f64 (log.f64 u1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 u1) 1/2) (pow.f64 -2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 -2 1/2)) (.f64 1/2 (pow.f64 (log.f64 u1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (log.f64 u1) 1/2)) (.f64 1/2 (pow.f64 -2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 -2 1/2)) (.f64 2 (pow.f64 (log.f64 u1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (pow.f64 (log.f64 u1) 1/2)) (.f64 2 (pow.f64 -2 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 2 1/2) (pow.f64 (neg.f64 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (log.f64 (sqrt.f64 u1)) 1/2) (pow.f64 -4 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) 2) 1/2) (pow.f64 -1 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1/2 1/2) (pow.f64 (.f64 (log.f64 u1) -4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/2) (pow.f64 2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) -4) 1/2) (pow.f64 1/2 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -1 1/2) (pow.f64 (.f64 (log.f64 u1) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 -4 1/2) (pow.f64 (log.f64 (sqrt.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4))))) 64)))))
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simplify141.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1620×	`rational.json-simplify-35`
1248×	`rational.json-simplify-53`
968×	`rational.json-simplify-49`
882×	`rational.json-simplify-2`
816×	`rational.json-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	266	4926
1	608	4784
2	1505	4714
3	3364	4714
4	5050	4714
5	6666	4714

Stop Event

1×	node limit

Counts

158 → 162

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))
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(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
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(pow.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 1)
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(pow.f64 (.f64 2 (.f64 (PI.f64) u2)) 1)
(neg.f64 (.f64 -2 (.f64 (PI.f64) u2)))
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(.f64 (.f64 1/2 (pow.f64 (log.f64 u1) 1/2)) (*.f64 2 (pow.f64 -2 1/2)))
(.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 4)
(*.f64 (pow.f64 2 1/2) (pow.f64 (neg.f64 (log.f64 u1)) 1/2))
(*.f64 (pow.f64 (log.f64 (sqrt.f64 u1)) 1/2) (pow.f64 -4 1/2))
(.f64 (pow.f64 (.f64 (log.f64 u1) 2) 1/2) (pow.f64 -1 1/2))
(.f64 (pow.f64 1/2 1/2) (pow.f64 (.f64 (log.f64 u1) -4) 1/2))
(*.f64 (pow.f64 (neg.f64 (log.f64 u1)) 1/2) (pow.f64 2 1/2))
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Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
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(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
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(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 1/2)
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))))))))
(.f64 1/2 (+.f64 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) 1))
(.f64 1/2 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3) (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))))))
(.f64 1/2 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 u2 (.f64 -2 (PI.f64))))))))
(.f64 4 (/.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 4) 1/4)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 1/4 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 4))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (.f64 1/2 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2))))))) 2)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (/.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4) 4)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 (.f64 -2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 1/3)))) 2)
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))) 2)
(/.f64 (+.f64 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) 1) 2)
(/.f64 (+.f64 1 (.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 1/3) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))) 2)
(/.f64 (+.f64 1 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/3 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))) 2)
(/.f64 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4) 4)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 4)) 8)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4))) 16)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 4)))) 32)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 4))))) 64)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 (PI.f64) (*.f64 u2 2))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))

eval64.0ms (0.5%)

Compiler: Compiled 3669 to 2854 computations (22.2% saved)

prune27.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	157	5	162
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	5	163

Error

0.1b

Counts

163 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
▶	0.4b	(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
▶	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))

Compiler

Compiled 180 to 162 computations (10% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

series39.0ms (0.3%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
27.0ms	u2	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
7.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u2	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`rational.json-1`
1610×	`rational.json-2`
1610×	`rational.json-3`
1602×	`rational.json-4`
1284×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	156	146
2	316	146
3	685	138
4	1513	138
5	3474	138
6	6827	138

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 2) (/.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1)))))
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simplify156.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1664×	`rational.json-simplify-35`
1232×	`rational.json-simplify-51`
1214×	`rational.json-simplify-53`
1196×	`rational.json-simplify-2`
954×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	5743
1	442	5491
2	1029	5379
3	2496	5283
4	5459	5283
5	7153	5283

Stop Event

1×	node limit

Counts

133 → 128

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.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 -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)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
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(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))))
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(/.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))) 2/3) 4)
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(-.f64 0 (.f64 u2 (.f64 (PI.f64) -2)))
(-.f64 (+.f64 1 (.f64 2 (.f64 u2 (PI.f64)))) 1)
(/.f64 (.f64 2 (.f64 u2 (PI.f64))) 1)
(/.f64 (.f64 u2 (.f64 (PI.f64) -2)) -1)
(/.f64 (.f64 u2 (.f64 (PI.f64) 4)) 2)
(/.f64 (.f64 (.f64 u2 (PI.f64)) -4) -2)
(/.f64 (.f64 u2 (.f64 (PI.f64) 8)) 4)
(/.f64 (neg.f64 (.f64 u2 (.f64 (PI.f64) 8))) -4)
(/.f64 (.f64 2 (.f64 u2 (*.f64 (PI.f64) 8))) 8)
(/.f64 (.f64 2 (neg.f64 (.f64 u2 (*.f64 (PI.f64) 8)))) -8)
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(pow.f64 (.f64 2 (.f64 u2 (PI.f64))) 1)
(neg.f64 (.f64 u2 (.f64 (PI.f64) -2)))
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(-.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
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(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(*.f64 2 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 1/2)
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)
(/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4)) 8)
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(.f64 (/.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 2) 2)
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(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4)))) 32)
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Outputs
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 u1)))))
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(neg.f64 (.f64 u2 (.f64 (PI.f64) -2)))
(.f64 2 (.f64 u2 (PI.f64)))
(*.f64 (PI.f64) (+.f64 u2 u2))
(+.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(+.f64 0 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(+.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(-.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(*.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(*.f64 2 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2))
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 1/2)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(*.f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4) 4)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4)) 8)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))) 16)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4)))) 32)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(pow.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)
(sqrt.f64 (log.f64 (/.f64 1 u1)))
(-.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 0)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 1 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 2 (/.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 2))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))))))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(.f64 (/.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 2) 2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))) 2)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4) 4)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4)) 8)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4))) 16)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 4)))) 32)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(pow.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 1)
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`rational.json-simplify-35`
1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-3`
1344×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	77	63
2	146	63
3	288	63
4	535	63
5	1203	63
6	2873	63
7	4868	63
8	6303	63

Stop Event

1×	node limit

Counts

3 → 75

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2)) (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 6)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)))))

simplify765.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

3738×	`rational.json-simplify-35`
2112×	`rational.json-simplify-48`
2042×	`rational.json-simplify-1`
1042×	`rational.json-simplify-2`
802×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	2625
1	327	2553
2	1277	2553
3	2641	2553
4	3680	2553
5	4408	2553
6	4751	2553
7	5182	2553
8	5314	2553
9	5552	2553
10	5661	2553
11	5933	2553
12	5933	2553
13	6092	2553
14	6501	2553
15	6511	2553
16	6617	2553
17	6723	2553
18	6829	2553
19	6935	2553
20	7041	2553
21	7147	2553
22	7253	2553
23	7359	2553
24	7598	2553
25	7840	2553

Stop Event

1×	node limit

Counts

111 → 99

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 (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 (.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))) 1/2)
(+.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))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(+.f64 0 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(-.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(/.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8)))))) 256)
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)))
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))
(+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1)
(.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 6)
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2))
(.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2) 1/2)
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 3)
(.f64 4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/4))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) 1/4)
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 3/2)
(.f64 1/3 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8)
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 1/3)
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2)
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/4) 4)
(.f64 3 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))
(.f64 3/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3))
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))
(.f64 6 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8)))))) 256)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 0)
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(.f64 4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1/4))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8) 1/8)
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)))))) 256)
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (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 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (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 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (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 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (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 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.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 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.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 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.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 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))
(sqrt.f64 (.f64 -2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.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 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 1/2)
(+.f64 1/2 (.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 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 0)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 0 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(.f64 1/6 (sqrt.f64 (.f64 (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)))
(/.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8) 8)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8)) 16)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))) 32)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 8)))) 64)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 8))))) 128)
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
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(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1)
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(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 1/8)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 3) 1/3)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1/4 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/4) 4)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 3 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 3/2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 1/8 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 6 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2) 2)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 8)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))) 32)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) 128)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8)))))) 256)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 0)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/2 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 1 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1/4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4) 1/4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8) 1/8)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1/4) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/8 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 1 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 4) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8) 8)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)) 16)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))) 32)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)))) 64)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) 8))))) 128)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 8)))))) 256)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
	0.2b	(.f64 (.f64 2 (PI.f64)) u2)
	0.4b	(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))

Compiler

Compiled 71 to 49 computations (31% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite106.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1356×	`rational.json-simplify-35`
1348×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	51
1	130	51
2	243	51
3	510	51
4	1049	51
5	2663	51
6	4816	51
7	6630	51

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2))) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 1/2 (*.f64 1/6 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (*.f64 -2 u2)))))) 1)))))

simplify338.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2316×	`rational.json-simplify-51`
2284×	`rational.json-simplify-52`
1900×	`rational.json-simplify-2`
1714×	`rational.json-simplify-1`
1650×	`rational.json-simplify-35`

Iterations

Useful iterations: 10 (0.0ms)

Iter	Nodes	Cost
0	119	2741
1	265	2573
2	559	2475
3	1321	2453
4	2275	2389
5	3389	2389
6	3582	2389
7	3766	2389
8	4022	2389
9	4675	2389
10	5100	2379
11	6804	2379
12	7018	2379
13	7144	2379
14	7253	2379
15	7362	2379
16	7859	2379

Stop Event

1×	node limit

Counts

43 → 63

Calls

Call 1

Inputs
(+.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))))))
(+.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 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 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 0)
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3)))))
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Outputs
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(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3)))) 2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4) 4)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 4)) 8)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4))) 16)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 4)))) 32)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4))))) 64)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 1)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) 1/6)))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
✓	0.1b	(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
✓	0.2b	(.f64 u2 (.f64 -2 (PI.f64)))
✓	0.4b	(.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))

Compiler

Compiled 74 to 52 computations (29.7% saved)

series6.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite118.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`rational.json-simplify-35`
1504×	`rational.json-1`
1504×	`rational.json-2`
1504×	`rational.json-3`
1470×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	132
1	131	132
2	284	132
3	642	132
4	1358	132
5	2888	132
6	4922	132
7	6628	132

Stop Event

1×	node limit

Counts

4 → 97

Calls

Call 1

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

Outputs
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simplify207.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1734×	`rational.json-simplify-52`
1630×	`rational.json-simplify-35`
950×	`rational.json-simplify-2`
918×	`rational.json-simplify-49`
902×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	6167
1	639	5895
2	1478	5831
3	3309	5831
4	5769	5831
5	7017	5831
6	7812	5831

Stop Event

1×	node limit

Counts

169 → 181

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
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(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 -2 (.f64 u2 (PI.f64)))
(.f64 -2 (.f64 u2 (PI.f64)))
(.f64 -2 (.f64 u2 (PI.f64)))
(.f64 -2 (.f64 u2 (PI.f64)))
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Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))
(.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 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(pow.f64 (*.f64 (/.f64 (log.f64 u1) 2) -4) 1/2)
(pow.f64 (*.f64 -4 (/.f64 (log.f64 u1) 2)) 1/2)
(/.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2) 1)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 2) 2)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 4) 4)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 2 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2) 4)) 8)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 4))) 16)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (*.f64 (log.f64 u1) -2) 1/2) 4)))) 32)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) 4))))) 64)
(pow.f64 (*.f64 (log.f64 u1) -2) 1/2)
(-.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 0)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) 1/3)))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 1 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 2 (/.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 2))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) 1/3)))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(.f64 (/.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 2) 2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2))) 1/3)))) 2)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4) 4)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 4)) 8)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4))) 16)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 4)))) 32)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2)))))) 4))))) 64)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))
(pow.f64 (+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 u2)))))) 1)
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (pow.f64 (*.f64 (log.f64 u1) -2) 1/2))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 (log.f64 u1) -2) 1/2) (cos.f64 (.f64 u2 (*.f64 -2 (PI.f64)))))))

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 73 computations (19.8% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1342×	`rational.json-1`
1342×	`rational.json-2`
1342×	`rational.json-3`
1334×	`rational.json-4`
1330×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	97	48
2	206	48
3	410	48
4	807	48
5	2064	48
6	5513	48

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(*.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)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/2) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8)) (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/12) (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)))))

simplify314.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4010×	`rational.json-simplify-41`
2070×	`rational.json-simplify-49`
1900×	`rational.json-simplify-35`
978×	`rational.json-simplify-2`
604×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	75	1081
1	160	1049
2	315	1049
3	1002	1049
4	2124	1049
5	2747	1049
6	2897	1049
7	2979	1049
8	3036	1049
9	3087	1049
10	3138	1049
11	3189	1049
12	3240	1049
13	3291	1049
14	3342	1049
15	3393	1049
16	3444	1049
17	3495	1049
18	3546	1049
19	5118	1049

Stop Event

1×	node limit

Counts

43 → 40

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 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (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 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)))
(+.f64 0 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2))
(+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))
(-.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(/.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8)) (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8))) 32)
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/12) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/12))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)))) 32)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))
(sqrt.f64 (*.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))
(sqrt.f64 (*.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))
(sqrt.f64 (*.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))
(sqrt.f64 (*.f64 2 (+.f64 (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 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/6)
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/6)
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/6)
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)))) 1/6)
(+.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 0 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/2)) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(-.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 4) 4)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8) 8)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 8)) 16)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(/.f64 (+.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8)) (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 8))) 32)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(+.f64 0 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/12) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/12))
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) 2)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3) 4)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)) 8)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) 16)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3))) (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 2/3)))) 32)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))

eval269.0ms (2.3%)

Compiler: Compiled 15174 to 12088 computations (20.3% saved)

prune112.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	668	3	671
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	671	5	676

Error

0.1b

Counts

676 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	0.8b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.4b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
▶	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))

Compiler

Compiled 81 to 73 computations (9.9% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series7.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite117.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`rational.json-simplify-35`
1492×	`rational.json-1`
1492×	`rational.json-2`
1492×	`rational.json-3`
1458×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	146	125
2	309	125
3	657	109
4	1399	109
5	3007	109
6	5054	109
7	6671	109

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

Inputs

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

(sqrt.f64 (neg.f64 (log.f64 u1)))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2) (/.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)))))

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)))))

simplify243.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1762×	`rational.json-simplify-35`
1286×	`rational.json-simplify-53`
1054×	`rational.json-simplify-51`
1028×	`rational.json-simplify-1`
896×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	171	5439
1	405	4863
2	912	4687
3	2512	4607
4	4353	4607
5	5482	4607
6	6152	4607
7	6618	4607
8	6909	4607
9	7338	4607

Stop Event

1×	node limit

Counts

105 → 131

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
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(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 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 (.f64 (sqrt.f64 2) (.f64 (pow.f64 (sqrt.f64 -1) 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 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))))
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(+.f64 (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2) (/.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2))
(-.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 0)
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(/.f64 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))))) 64)
(pow.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)
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(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(*.f64 2 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2)
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))) 16)
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(.f64 2 (/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))
(.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)
(.f64 1 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1/2)
(.f64 (/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2) 2)
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(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 2)
(/.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))))) 64)
(pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)

Outputs
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(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) (sqrt.f64 (log.f64 u1))))
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(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 u2 (.f64 (PI.f64) 2))))) (sqrt.f64 (log.f64 u1))))
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(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3) 4)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)) 8)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))) 16)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3)))) 32)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 2/3))))) 64)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(pow.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1)
(.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
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(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
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(+.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
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(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
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(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
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(*.f64 2 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 1/2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2) 2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)) 8)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))) 16)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)))) 32)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))))) 64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 0)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 2 (/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2))
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))))
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 1 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2))
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(.f64 (/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 2) 2)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))) 2)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4) 4)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)) 8)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))) 16)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4)))) 32)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 4))))) 64)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(pow.f64 (+.f64 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))) 1/2) 1)
(+.f64 1/2 (.f64 (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) (sqrt.f64 (log.f64 (pow.f64 u1 -2)))))
(+.f64 1/2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (*.f64 1/6 (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))
(+.f64 1/2 (.f64 1/6 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (log.f64 (pow.f64 u1 -2))))))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
	0.1b	(sqrt.f64 (*.f64 (log.f64 u1) -2))
	0.2b	(.f64 u2 (.f64 2 (PI.f64)))
✓	0.4b	(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))

Compiler

Compiled 72 to 50 computations (30.6% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1406×	`rational.json-1`
1406×	`rational.json-2`
1406×	`rational.json-3`
1390×	`rational.json-simplify-35`
1366×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	96
1	134	96
2	265	96
3	545	96
4	1104	96
5	2802	96
6	4933	96
7	6700	96

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/12)) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 2/3)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1/2 (+.f64 1/2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)))))

simplify276.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1844×	`rational.json-simplify-35`
1518×	`rational.json-simplify-53`
1210×	`rational.json-simplify-2`
1098×	`exponential.json-simplify-26`
872×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	4881
1	325	4573
2	755	4377
3	1985	4305
4	3751	4305
5	4656	4305
6	5482	4305
7	6143	4305
8	6454	4305
9	6786	4305
10	7451	4305

Stop Event

1×	node limit

Counts

79 → 100

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.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 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -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 (.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 (.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 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 (.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))))))
(+.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 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 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/12)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/12)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3)) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2/3)) 4)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2/3))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2/3)))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 2/3))))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 2/3)))))) 64)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1)
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 0)
(.f64 2 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)))
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 1)
(.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))
(.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)) 2)
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))))) 64)
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)

Outputs
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))
(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.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 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6)))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 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 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6)))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 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 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6)))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 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 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (sqrt.f64 -2) (.f64 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 -1)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (*.f64 (sqrt.f64 2) 1/6)))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 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 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.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 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.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 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.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 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))))
(.f64 1/6 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2)))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -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 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -1/3)))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)) -1/3)))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (*.f64 u2 (PI.f64)) 2) -1/3))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 (sqrt.f64 -2) (.f64 -1/3 (pow.f64 (*.f64 u2 (PI.f64)) 2)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -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 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -1/3)) (.f64 (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4))) (.f64 (sqrt.f64 (log.f64 u1)) 1/9))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)) -1/3)) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/9 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 4))))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (sqrt.f64 (.f64 (log.f64 u1) -2)))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (*.f64 (sqrt.f64 -2) 1/9)))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -2) (.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2))) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (sqrt.f64 -2) 1/9)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -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)))))))
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(.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 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
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(.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.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 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) 1/3)))) 1/2)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4) 1/4)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4))
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)) 2)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4) 4)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/3)))) 2)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4) 4)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)) 8)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))) 16)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 4)))) 32)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) 1/2) 4))))) 64)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2) 1)
(+.f64 (.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 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
	0.1b	(sqrt.f64 (log.f64 (/.f64 1 u1)))
	0.4b	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 51 to 44 computations (13.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

u1

-inf

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

0.0ms

u1

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

0.0ms

u1

inf

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`rational.json-1`
1246×	`rational.json-2`
1246×	`rational.json-3`
1238×	`rational.json-4`
1234×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	33
1	110	33
2	224	33
3	441	33
4	874	33
5	2232	33
6	5535	33

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)))))

simplify859.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

5174×	`rational.json-simplify-51`
2124×	`rational.json-simplify-35`
1874×	`rational.json-simplify-2`
1118×	`rational.json-simplify-49`
982×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	66	1022
1	135	1006
2	287	1006
3	822	1006
4	1347	1006
5	2538	1006
6	3228	1006
7	3326	1006
8	3438	1006
9	3538	1006
10	3594	1006
11	3638	1006
12	3696	1006
13	3733	1006
14	3770	1006
15	3812	1006
16	3849	1006
17	3886	1006
18	3923	1006
19	4730	1006
20	5198	1006
21	5302	1006
22	5345	1006
23	5385	1006
24	5423	1006
25	5461	1006
26	5499	1006
27	5537	1006
28	5575	1006
29	5613	1006
30	5651	1006
31	5689	1006
32	5727	1006
33	5765	1006
34	5803	1006
35	5803	1006
36	5841	1006

Stop Event

1×	node limit

Counts

30 → 26

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 0)
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2))
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)
(.f64 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)
(.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)
(/.f64 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8))) 32)
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)

Outputs
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1)) 2))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 0)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 4 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 1/4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/4 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (.f64 1/2 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 2 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2)) 2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 4) 4)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8) 8)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8)) 16)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 8))) 32)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) 1)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))

eval431.0ms (3.6%)

Compiler: Compiled 9315 to 7075 computations (24% saved)

prune62.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	414	1	415
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	415	5	420

Error

0.1b

Counts

420 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.8b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
✓	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))

Compiler

Compiled 80 to 72 computations (10% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
	0.1b	(sqrt.f64 (neg.f64 (log.f64 u1)))
✓	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 44 to 25 computations (43.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite115.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1498×	`rational.json-simplify-35`
1454×	`rational.json-1`
1454×	`rational.json-2`
1454×	`rational.json-3`
1372×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	97	75
2	202	63
3	402	63
4	774	63
5	1792	63
6	3504	63
7	5063	63
8	6758	63

Stop Event

1×	node limit

Counts

3 → 50

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (log.f64 u1) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12) (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (*.f64 (*.f64 1/2 (*.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)))))

simplify545.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

3326×	`rational.json-simplify-2`
2352×	`rational.json-simplify-35`
1894×	`rational.json-simplify-51`
1076×	`exponential.json-simplify-26`
1032×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2582
1	292	2190
2	627	2142
3	2388	2142
4	3360	2142
5	3788	2142
6	3953	2142
7	4082	2142
8	4200	2142
9	6169	2142
10	6832	2142
11	7117	2142
12	7326	2142
13	7406	2142
14	7461	2142
15	7496	2142
16	7535	2142
17	7572	2142
18	7684	2142
19	7800	2142

Stop Event

1×	node limit

Counts

86 → 82

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 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.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 1/2 (.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 1/2 (.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 1/2 (.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 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 (log.f64 u1) -2))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) 128)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))))) 128)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 0)
(.f64 2 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)
(.f64 1 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))
(.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))))) 128)
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)

Outputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (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) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (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) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (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) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (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 (sqrt.f64 -2) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.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) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 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) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 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) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 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) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)
(.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 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.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 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.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 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.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 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)
(+.f64 1/2 (.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 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.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 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.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 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.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 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6)) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (log.f64 u1) -2))) 2)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 8)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))) 32)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) 128)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))) (.f64 (.f64 1/2 (.f64 (sqrt.f64 2) 1/6)) (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8) 8)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)) 16)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))) 32)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) 64)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))))) 128)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 0)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/2 (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) 1/2)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 1/4)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 4))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)) 2)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 4) 4)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8) 8)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)) 16)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))) 32)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 8)))) 64)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2) 8))))) 128)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 1)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

eval30.0ms (0.3%)

Compiler: Compiled 1550 to 1305 computations (15.8% saved)

prune52.0ms (0.4%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	107	6	113

Error

0.1b

Counts

113 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
✓	0.8b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.8b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
✓	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))

Compiler

Compiled 94 to 85 computations (9.6% saved)

regimes696.0ms (5.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

10 calls:

634.0ms	(log.f64 u1)
8.0ms	(+.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)
7.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
7.0ms	u1
7.0ms	(.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
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)`
0.3b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.3b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.3b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.3b	1	`(*.f64 -2 (log.f64 u1))`
0.3b	1	`(log.f64 u1)`
0.3b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.3b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 278 to 230 computations (17.3% saved)

regimes113.0ms (1%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

10 calls:

61.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
7.0ms	(log.f64 u1)
6.0ms	u1
6.0ms	(+.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)
6.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Results

Error	Segments	Branch
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	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)`
0.4b	1	`(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))`
0.4b	1	`(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))`
0.4b	1	`(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)`
0.4b	1	`(*.f64 -2 (log.f64 u1))`
0.4b	1	`(log.f64 u1)`
0.4b	1	`(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))`
0.4b	1	`(.f64 (.f64 2 (PI.f64)) u2)`

Compiler

Compiled 222 to 186 computations (16.2% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.3b remaining (-44.1%)

Threshold costs -0.3b (-44.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)

Calls

3 calls:

4.0ms	(log.f64 u1)
4.0ms	u2
4.0ms	u1

Results

Error	Segments	Branch
0.8b	1	`u1`
0.8b	1	`u2`
0.8b	1	`(log.f64 u1)`

Compiler

Compiled 56 to 48 computations (14.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	172

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 62 to 56 computations (9.7% saved)

soundness1.7s (14.3%)

Algorithm

3×	egg-herbie

Rules

3204×	`rational.json-simplify-35`
2024×	`rational.json-simplify-2`
1664×	`rational.json-simplify-35`
1620×	`rational.json-simplify-35`
1606×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	34	53
2	52	53
3	85	53
4	168	53
5	353	53
6	877	53
7	1829	53
8	2704	53
9	3466	53
10	4076	53
11	5148	53
12	5779	53
13	6012	53
14	6176	53
15	6490	53
16	6940	53
17	6977	53
18	7238	53
19	7263	53
20	7263	53
21	7424	53
22	7585	53
23	7746	53
24	7907	53
0	266	4926
1	608	4784
2	1505	4714
3	3364	4714
4	5050	4714
5	6666	4714
0	190	5743
1	442	5491
2	1029	5379
3	2496	5283
4	5459	5283
5	7153	5283

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 387 to 322 computations (16.8% saved)

end93.0ms (0.8%)

Compiler: Compiled 56 to 44 computations (21.4% saved)

Details

analyze37.0ms (0.3%)

sample1.9s (15.8%)

preprocess195.0ms (1.6%)

simplify712.0ms (6%)

eval2.0ms (0%)

prune2.0ms (0%)

localize35.0ms (0.3%)

series62.0ms (0.5%)

rewrite124.0ms (1%)

simplify141.0ms (1.2%)

eval64.0ms (0.5%)

prune27.0ms (0.2%)

localize43.0ms (0.4%)

series39.0ms (0.3%)

rewrite106.0ms (0.9%)

simplify156.0ms (1.3%)

localize17.0ms (0.1%)

series2.0ms (0%)

rewrite116.0ms (1%)

simplify765.0ms (6.5%)

localize28.0ms (0.2%)

series1.0ms (0%)

rewrite106.0ms (0.9%)

simplify338.0ms (2.9%)

localize34.0ms (0.3%)

series6.0ms (0%)

rewrite118.0ms (1%)

simplify207.0ms (1.7%)

localize43.0ms (0.4%)

series2.0ms (0%)

rewrite81.0ms (0.7%)

simplify314.0ms (2.6%)

eval269.0ms (2.3%)

prune112.0ms (1%)

localize34.0ms (0.3%)

series7.0ms (0.1%)

rewrite117.0ms (1%)

simplify243.0ms (2.1%)

localize29.0ms (0.2%)

series2.0ms (0%)

rewrite111.0ms (0.9%)

simplify276.0ms (2.3%)

localize26.0ms (0.2%)

series0.0ms (0%)

rewrite76.0ms (0.6%)

simplify859.0ms (7.3%)

eval431.0ms (3.6%)

prune62.0ms (0.5%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite115.0ms (1%)

simplify545.0ms (4.6%)

eval30.0ms (0.3%)

prune52.0ms (0.4%)

regimes696.0ms (5.9%)

regimes113.0ms (1%)

regimes13.0ms (0.1%)

simplify3.0ms (0%)

soundness1.7s (14.3%)

end93.0ms (0.8%)

Profiling