Details

analyze37.0ms (0.2%)

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 (10.4%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess202.0ms (1.1%)

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)

simplify707.0ms (3.8%)

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

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	4	2	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	2	7

Error

0.4b

Counts

7 → 2

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

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))))

▶

0.4b

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

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 80 to 56 computations (30% saved)

series64.0ms (0.3%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	0	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
15.0ms	u2	@	inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
14.0ms	u1	@	-inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
7.0ms	u1	@	inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
1.0ms	u2	@	0	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

rewrite119.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1534×	`rational.json-simplify-35`
1520×	`rational.json-1`
1520×	`rational.json-2`
1520×	`rational.json-3`
1486×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	132
1	135	132
2	276	132
3	599	132
4	1268	132
5	3003	132
6	4931	132
7	6865	132

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(.f64 (.f64 2 (PI.f64)) u2)
(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (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 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.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) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/12)) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) (.f64 (.f64 1/2 (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 1/6 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 2 (.f64 -2 (.f64 (PI.f64) u2))))))) (#(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 (.f64 2 (.f64 (PI.f64) u2)) -1))))) (#(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 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 (.f64 2 (.f64 (PI.f64) u2)) -1) -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) -4)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (PI.f64) u2) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (.f64 (PI.f64) u2) 8)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (PI.f64) u2) 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) u2) 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (.f64 (.f64 (PI.f64) u2) 8))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (.f64 (.f64 (PI.f64) u2) 8))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 (.f64 (PI.f64) u2) 8)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) u2) 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (neg.f64 (neg.f64 (.f64 (.f64 (PI.f64) u2) 8)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (PI.f64) u2) 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (neg.f64 (neg.f64 (.f64 (.f64 (PI.f64) u2) 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 (pow.f64 (log.f64 u1) 1/2) 1/2))))) (#(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 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (pow.f64 (log.f64 u1) 1/2)) (.f64 (pow.f64 -2 1/2) 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 1/2 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 -2 1/2) 1/2) (.f64 2 (pow.f64 (log.f64 u1) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (log.f64 u1) 1/2) 1/2) (.f64 2 (pow.f64 -2 1/2)))))) (#(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 (.f64 (log.f64 u1) -4) 1/2) (pow.f64 1/2 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 -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 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (pow.f64 (*.f64 -2 (log.f64 u1)) 1/2) 4))))) 64)))))
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simplify195.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1938×	`rational.json-simplify-35`
1022×	`rational.json-simplify-53`
946×	`rational.json-simplify-2`
928×	`rational.json-simplify-49`
908×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	262	6209
1	629	5985
2	1429	5845
3	3317	5845
4	5344	5845
5	6604	5845
6	7755	5845

Stop Event

1×	node limit

Counts

163 → 170

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

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)
	0.3b	(.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)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite110.0ms (0.6%)

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	76
1	133	76
2	265	76
3	573	76
4	1201	76
5	2868	76
6	5074	76
7	7114	76

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(.f64 1/6 (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 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (.f64 (PI.f64) u2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x .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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x .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))))) (#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x .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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))

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

simplify237.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

2370×	`rational.json-simplify-51`
1606×	`rational.json-simplify-2`
1592×	`rational.json-simplify-35`
840×	`rational.json-simplify-1`
682×	`exponential.json-simplify-26`

Iterations

Useful iterations: 9 (0.0ms)

Iter	Nodes	Cost
0	145	3343
1	329	3227
2	704	3129
3	1745	3123
4	3210	3123
5	3692	3123
6	3938	3123
7	4178	3123
8	4471	3123
9	5026	3059
10	7045	3059
11	7846	3059

Stop Event

1×	node limit

Counts

67 → 79

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

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

eval137.0ms (0.7%)

Compiler: Compiled 7540 to 5707 computations (24.3% saved)

prune51.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	316	6	322
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	318	6	324

Error

0.2b

Counts

324 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	0.6b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
▶	1.7b	(+.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)))))))
▶	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.6b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))

Compiler

Compiled 216 to 190 computations (12% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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))
	0.3b	(.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)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite110.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1388×	`rational.json-1`
1388×	`rational.json-2`
1388×	`rational.json-3`
1358×	`rational.json-simplify-35`
1348×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	130	87
2	243	87
3	510	87
4	1051	87
5	2669	87
6	4821	87
7	6635	87

Stop Event

1×	node limit

Counts

3 → 53

Calls

Call 1

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

simplify262.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2196×	`rational.json-simplify-53`
1838×	`rational.json-simplify-35`
1370×	`rational.json-simplify-1`
1116×	`rational.json-simplify-51`
1054×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	176	4011
1	401	3739
2	1059	3709
3	2226	3691
4	4294	3691
5	5616	3691
6	5837	3691
7	6076	3691
8	6395	3691
9	6975	3691
10	7276	3691

Stop Event

1×	node limit

Counts

101 → 98

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite103.0ms (0.6%)

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	27
1	77	27
2	146	27
3	288	27
4	535	27
5	1203	27
6	2873	27
7	4868	27
8	6303	27

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(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)))))

simplify364.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3220×	`rational.json-simplify-51`
3096×	`rational.json-simplify-48`
1570×	`rational.json-simplify-35`
1322×	`rational.json-simplify-1`
1212×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	82	1073
1	170	1049
2	420	1049
3	1206	1049
4	2044	1049
5	3229	1049
6	3863	1049
7	4214	1049
8	4729	1049
9	4827	1049
10	4872	1049
11	4915	1049
12	4958	1049
13	5001	1049
14	5394	1049
15	5737	1049
16	6019	1049
17	6250	1049
18	6303	1049
19	7149	1049

Stop Event

1×	node limit

Counts

35 → 32

Calls

Call 1

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

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 33 computations (56% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite138.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-3`
1344×	`rational.json-simplify-35`
1304×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	111
1	125	111
2	246	111
3	518	111
4	1056	111
5	2687	111
6	4767	111
7	6446	111
8	7942	111

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

simplify159.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1812×	`rational.json-simplify-35`
1374×	`rational.json-simplify-51`
850×	`rational.json-simplify-43`
756×	`rational.json-simplify-1`
660×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	206	5571
1	494	5263
2	1198	5067
3	3326	4995
4	6200	4995
5	7602	4995

Stop Event

1×	node limit

Counts

125 → 128

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))))))
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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)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(.f64 2 (.f64 u2 (PI.f64)))
(+.f64 1/2 (.f64 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))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 -1) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
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(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1)))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) (+.f64 1/2 (+.f64 (.f64 -2/135 (.f64 (.f64 (pow.f64 u2 6) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -1/3 (.f64 (.f64 (pow.f64 u2 2) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 u1)))) (.f64 1/9 (.f64 (.f64 (pow.f64 u2 4) (.f64 (sqrt.f64 -2) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 u1))))))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/12)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/12)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3)) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2)))) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))) 2/3))))) 64)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1)
(+.f64 -2 (+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 2))
(+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)
(+.f64 0 (*.f64 (PI.f64) (+.f64 u2 u2)))
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(+.f64 -1 (+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1))
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(-.f64 -2 (-.f64 -2 (*.f64 (PI.f64) (+.f64 u2 u2))))
(-.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 0)
(-.f64 0 (.f64 -2 (.f64 (PI.f64) u2)))
(-.f64 1 (+.f64 1 (.f64 -2 (.f64 (PI.f64) u2))))
(-.f64 -1 (+.f64 (.f64 -2 (.f64 (PI.f64) u2)) -1))
(-.f64 2 (+.f64 (.f64 -2 (.f64 (PI.f64) u2)) 2))
(-.f64 (.f64 (PI.f64) u2) (neg.f64 (.f64 (PI.f64) u2)))
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(-.f64 (+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) -1) -1)
(-.f64 (+.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 2) 2)
(-.f64 (+.f64 -2 (*.f64 (PI.f64) (+.f64 u2 u2))) -2)
(/.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(/.f64 (.f64 -2 (.f64 (PI.f64) u2)) -1)
(/.f64 (.f64 u2 (.f64 (PI.f64) 4)) 2)
(/.f64 (.f64 (PI.f64) (.f64 u2 8)) 4)
(/.f64 (.f64 (.f64 (PI.f64) u2) -4) -2)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 u2 8))) 8)
(/.f64 (neg.f64 (.f64 (PI.f64) (.f64 u2 8))) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (PI.f64) (.f64 u2 8)))) 16)
(/.f64 (.f64 2 (neg.f64 (.f64 (PI.f64) (*.f64 u2 8)))) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (PI.f64) (*.f64 u2 8))))) 32)
(/.f64 (.f64 2 (.f64 2 (neg.f64 (.f64 (PI.f64) (.f64 u2 8))))) -16)
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(pow.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)
(neg.f64 (.f64 -2 (.f64 (PI.f64) u2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 0)
(.f64 1/2 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3)))))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)
(.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2))
(.f64 2 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)))
(.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) 1/3)))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4) 4)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 1)
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/3)))) 2)
(/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 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 (PI.f64) (+.f64 u2 u2))))) 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 (PI.f64) (+.f64 u2 u2))))) 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 (PI.f64) (+.f64 u2 u2))))) 1/2) 4))))) 64)
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 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 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.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 (.f64 (log.f64 u1) -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 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.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 (.f64 (log.f64 u1) -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 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.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 (.f64 (log.f64 u1) -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 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(.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 (.f64 (log.f64 u1) -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)))))
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(.f64 1/6 (.f64 (.f64 (sqrt.f64 -2) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -1))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))))
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(.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)))))
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(.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 1/6))
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(.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 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
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(.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 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (*.f64 (sqrt.f64 -2) (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (.f64 (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 1/6))
(.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)))
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(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (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 (PI.f64) (+.f64 u2 u2))))) 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 (.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (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 (PI.f64) (+.f64 u2 u2))))) 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 (.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))))
(+.f64 1/2 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)
✓	0.3b	(.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 75 to 53 computations (29.3% saved)

series5.0ms (0%)

Counts

4 → 72

Calls

18 calls:

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

rewrite144.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`rational.json-1`
1572×	`rational.json-2`
1572×	`rational.json-3`
1444×	`rational.json-simplify-35`
1388×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	132
1	137	132
2	289	132
3	631	132
4	1315	132
5	2775	132
6	4709	132
7	6294	132
8	7789	132

Stop Event

1×	node limit

Counts

4 → 95

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

simplify169.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-35`
1318×	`rational.json-simplify-53`
918×	`rational.json-simplify-2`
864×	`rational.json-simplify-49`
834×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	264	6125
1	615	5869
2	1454	5809
3	3477	5809
4	6722	5809
5	7860	5809

Stop Event

1×	node limit

Counts

167 → 177

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

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 (PI.f64) (.f64 u2 2))) (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 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 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (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 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 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (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 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 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (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 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 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
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(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (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 (.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)))))
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(.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 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (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 (.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)))))
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(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (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 (.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 (cos.f64 (.f64 (PI.f64) (.f64 u2 2))) (sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))))
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(.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 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2))))))
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(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 2)))))
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(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (.f64 -1/3 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 2) (pow.f64 u2 2))))) (.f64 1/9 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (.f64 (pow.f64 (PI.f64) 4) (pow.f64 u2 4)))))))
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(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 1/9 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 4))))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2))))) (.f64 1/9 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 4)))))
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(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)))) (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 -2/135 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 6)))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/6 (sqrt.f64 -2)) (.f64 1/9 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 4)))))))
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localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 96 to 76 computations (20.8% saved)

series36.0ms (0.2%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	inf	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
6.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u2	@	0	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
1.0ms	u1	@	0	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
1.0ms	u2	@	-inf	(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational.json-1`
1500×	`rational.json-2`
1500×	`rational.json-3`
1494×	`rational.json-4`
1490×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	83
1	141	83
2	283	83
3	630	83
4	1412	83
5	3196	83
6	6364	83

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

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

Outputs

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

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

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

simplify262.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2662×	`rational.json-simplify-2`
2102×	`rational.json-simplify-35`
1430×	`rational.json-simplify-53`
882×	`exponential.json-simplify-26`
706×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	146	3023
1	315	2871
2	627	2855
3	1613	2807
4	3169	2807
5	4248	2807
6	4997	2807
7	5278	2807
8	5484	2807
9	5703	2807
10	6878	2807
11	7344	2807

Stop Event

1×	node limit

Counts

81 → 97

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

eval254.0ms (1.4%)

Compiler: Compiled 15172 to 11428 computations (24.7% saved)

prune115.0ms (0.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	673	5	678
Fresh	0	1	1
Picked	1	0	1
Done	2	2	4
Total	676	8	684

Error

0.1b

Counts

684 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
▶	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))) 1/2)
▶	0.6b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
▶	1.9b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	1.7b	(+.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))))
	1.3b	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 (sqrt.f64 2) 1/6))))
▶	0.4b	(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))

Compiler

Compiled 267 to 240 computations (10.1% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 88 to 53 computations (39.8% saved)

series7.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite111.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1566×	`rational.json-simplify-35`
1494×	`rational.json-1`
1494×	`rational.json-2`
1494×	`rational.json-3`
1462×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	81
1	131	81
2	275	73
3	594	73
4	1290	73
5	3036	73
6	4922	73
7	6860	73

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

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

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

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

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

simplify270.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2298×	`rational.json-simplify-2`
1708×	`rational.json-simplify-35`
1568×	`rational.json-simplify-53`
1514×	`exponential.json-simplify-26`
1022×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	168	3476
1	407	3052
2	891	3020
3	1885	2972
4	3813	2972
5	4551	2972
6	4766	2972
7	4947	2972
8	5142	2972
9	5358	2972
10	6834	2972
11	7763	2972

Stop Event

1×	node limit

Counts

94 → 97

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) (.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) (.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)))))
(.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)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.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 (.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) (.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 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 (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)) 1/2) (.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 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4))))) 64)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)))
(+.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/12) (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 1/12))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)) (.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(-.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 0)
(/.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 (cos.f64 (.f64 2 (*.f64 (PI.f64) u2))) 1/3)) 2)
(/.f64 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 (PI.f64) u2)))) 2/3))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 2 (.f64 (PI.f64) u2))) (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6)) 1)
(+.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
(+.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2))
(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(.f64 (.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(*.f64 4 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 1/4)
(.f64 1/2 (.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) 2)
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(/.f64 (*.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))) 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)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))))) 64)
(pow.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 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 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 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 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 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) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1))))
(.f64 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2))) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2))) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2))) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 2))) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2)) 1/6))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.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 (.f64 (sqrt.f64 2) (.f64 1 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (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 (.f64 (sqrt.f64 2) (.f64 1 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (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 (.f64 (sqrt.f64 2) (.f64 1 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (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 (.f64 (sqrt.f64 2) (.f64 1 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 2 (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 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2))))
(.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (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) (.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 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2))))
(.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (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) (.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 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2))))
(.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (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) (.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 (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2)))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 -2))))
(.f64 (sqrt.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (.f64 1/6 (.f64 (sqrt.f64 -2) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))))
(.f64 1/6 (.f64 (sqrt.f64 (+.f64 (neg.f64 (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) (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 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 2))) (*.f64 (sqrt.f64 (log.f64 u1)) -1/3)))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 -1/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (sqrt.f64 -2)))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)) (.f64 (sqrt.f64 (log.f64 u1)) -1/3)) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (sqrt.f64 -2) 1/6) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 2)))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6)) (+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -1/3)) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 4))) (.f64 (sqrt.f64 (log.f64 u1)) 1/9))))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 -1/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (sqrt.f64 -2)))) (+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (sqrt.f64 -2)) 1/9)) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (+.f64 (.f64 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)) (.f64 (sqrt.f64 (log.f64 u1)) -1/3)) (.f64 (sqrt.f64 (log.f64 u1)) (.f64 1/9 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 4))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 1/9 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 4))) (.f64 -1/3 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 2))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))))
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(/.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)))

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 44 computations (13.7% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite79.0ms (0.4%)

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	42
1	97	42
2	206	42
3	410	42
4	807	42
5	2064	42
6	5473	42

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

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

simplify882.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3830×	`rational.json-simplify-35`
1962×	`rational.json-simplify-2`
1640×	`rational.json-simplify-49`
1406×	`rational.json-simplify-1`
980×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	84	1020
1	172	996
2	418	996
3	1084	996
4	1908	996
5	3139	996
6	3823	996
7	3966	996
8	4074	996
9	4148	996
10	4220	996
11	4292	996
12	4371	996
13	4443	996
14	4515	996
15	4587	996
16	4659	996
17	4731	996
18	4803	996
19	5901	996
20	6391	996
21	6394	996
22	6395	996
23	6395	996
24	7014	996
25	7109	996
26	7203	996
27	7293	996
28	7383	996
29	7473	996
30	7563	996
31	7653	996
32	7743	996
33	7833	996
34	7923	996

Stop Event

1×	node limit

Counts

48 → 44

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 43 computations (39.4% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

15 calls:

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

rewrite201.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1634×	`rational.json-1`
1634×	`rational.json-2`
1634×	`rational.json-3`
1484×	`rational.json-simplify-35`
1194×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	105
1	128	105
2	260	105
3	557	105
4	1162	105
5	2768	105
6	5039	105
7	7145	105

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

Inputs

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

(*.f64 u2 (PI.f64))

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

Outputs

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

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

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

simplify181.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational.json-simplify-51`
968×	`rational.json-simplify-44`
868×	`exponential.json-simplify-26`
858×	`rational.json-simplify-43`
708×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	183	4868
1	456	4576
2	1049	4380
3	2837	4308
4	6649	4308
5	7405	4308

Stop Event

1×	node limit

Counts

98 → 121

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

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 u1))
	0.3b	(*.f64 (PI.f64) (+.f64 u2 u2))
✓	0.4b	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.4b	(.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 97 to 54 computations (44.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-3`
1656×	`rational.json-4`
1132×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	104
1	139	104
2	278	96
3	607	96
4	1332	96
5	3385	96
6	6750	96

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify457.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

2132×	`rational.json-simplify-2`
2108×	`rational.json-simplify-35`
1166×	`rational.json-simplify-42`
852×	`exponential.json-simplify-26`
838×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	4200
1	285	3968
2	613	3820
3	1824	3708
4	3164	3708
5	3927	3708
6	4321	3708
7	4629	3708
8	4892	3708
9	6008	3708
10	6271	3708
11	6785	3708
12	7095	3708
13	7344	3708
14	7392	3708
15	7448	3708
16	7523	3708

Stop Event

1×	node limit

Counts

70 → 95

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (*.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.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 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (sqrt.f64 (+.f64 (log.f64 (/.f64 -1 u1)) (log.f64 -1))))
(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (+.f64 (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2))) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))
(.f64 1/6 (.f64 (.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)))))
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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)))))
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(.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)))))
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(.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)))))
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(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 0)
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(+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/2))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 0)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1)
(/.f64 (.f64 2 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 4)))) 32)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 1)
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/6) 0)
(+.f64 0 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/6))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/12) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/12))
(-.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/6) 0)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/6) 1)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/3) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2/3))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2/3))) (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2/3)))) 32)
(pow.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 1/6) 1)

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 u1))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.4b	(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
✓	0.5b	(.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))

Compiler

Compiled 90 to 65 computations (27.8% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite147.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1540×	`rational.json-1`
1540×	`rational.json-2`
1540×	`rational.json-3`
1532×	`rational.json-4`
1528×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	76
1	148	76
2	303	72
3	678	72
4	1474	72
5	3318	72
6	6575	72

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify446.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1836×	`rational.json-simplify-35`
1500×	`rational.json-simplify-1`
1286×	`rational.json-simplify-43`
1020×	`rational.json-simplify-2`
990×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	119	2600
1	274	2520
2	556	2464
3	1262	2400
4	3307	2400
5	4957	2400
6	5751	2400
7	6353	2400
8	6657	2400
9	6915	2400
10	6982	2400
11	7733	2400

Stop Event

1×	node limit

Counts

54 → 68

Calls

Call 1

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

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

eval1.2s (6.3%)

Compiler: Compiled 15169 to 11795 computations (22.2% saved)

prune681.0ms (3.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	635	4	639
Fresh	1	0	1
Picked	1	0	1
Done	3	3	6
Total	640	7	647

Error

0.1b

Counts

647 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))) 1/2)
▶	1.3b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2)))) 1/2)
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
▶	1.7b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	1.7b	(+.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))))

Compiler

Compiled 125 to 112 computations (10.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)))))
	0.4b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

Compiler

Compiled 44 to 25 computations (43.2% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite115.0ms (0.6%)

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	56
1	97	56
2	202	48
3	401	48
4	773	48
5	1790	48
6	3501	48
7	5065	48
8	6761	48

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

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

simplify588.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

2822×	`rational.json-simplify-35`
2244×	`rational.json-simplify-2`
1682×	`rational.json-simplify-53`
974×	`exponential.json-simplify-26`
834×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	107	1914
1	242	1650
2	506	1618
3	1581	1618
4	3268	1618
5	3956	1618
6	4308	1618
7	4599	1618
8	4826	1618
9	4990	1618
10	5525	1618
11	5734	1618
12	6018	1618
13	6362	1618
14	6600	1618
15	6600	1618
16	6774	1618
17	6774	1618
18	7002	1618
19	7596	1618
20	7779	1618
21	7884	1618
22	7985	1618

Stop Event

1×	node limit

Counts

58 → 56

Calls

Call 1

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

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

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 90 to 35 computations (61.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite159.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1550×	`rational.json-simplify-35`
1466×	`rational.json-1`
1466×	`rational.json-2`
1466×	`rational.json-3`
1432×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	100
1	128	100
2	264	84
3	575	84
4	1262	84
5	3008	84
6	4876	84
7	6749	84

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify451.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1574×	`rational.json-simplify-35`
1318×	`exponential.json-simplify-26`
1172×	`rational.json-simplify-53`
1158×	`rational.json-simplify-41`
1096×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	4459
1	372	3923
2	827	3729
3	2361	3653
4	4349	3653
5	6238	3653
6	6540	3653
7	6725	3653
8	6925	3653
9	7161	3653

Stop Event

1×	node limit

Counts

75 → 110

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.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 (.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 (.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 (.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 (.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 (.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 (.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 (.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) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.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 (.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) (.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) (.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 (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)))))
(.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)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2)))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2) (sqrt.f64 (.f64 (log.f64 u1) -2))) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) 1/2) (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))) (.f64 (.f64 (sqrt.f64 2) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (neg.f64 (log.f64 u1))))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 0)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 2 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 4))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 4)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 4))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1)
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(+.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/12) (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/12))
(+.f64 (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 2) 1/6))) (.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 (sqrt.f64 2) 1/6))))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 0)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/3 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.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 (*.f64 (log.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 (.f64 (log.f64 u1) -2))) 2/3))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -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 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (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 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -2)))
(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (sqrt.f64 -2)) -2)) (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 -2) -2))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (.f64 -2 (.f64 (sqrt.f64 -2) (pow.f64 (.f64 u2 (PI.f64)) 2)))))
(+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -2)) (+.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 4))) (*.f64 (sqrt.f64 (log.f64 u1)) 2/3))))
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(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 -2) -2)))) (.f64 2/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (sqrt.f64 (.f64 (log.f64 u1) -2)))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (sqrt.f64 -2) 2/3)) (+.f64 (sqrt.f64 -2) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (*.f64 (sqrt.f64 -2) -2)))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (sqrt.f64 -2) 2/3)) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (*.f64 (sqrt.f64 -2) -2)))))
(.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (.f64 (sqrt.f64 -2) 2/3)) (.f64 -2 (.f64 (sqrt.f64 -2) (pow.f64 (*.f64 u2 (PI.f64)) 2))))))
(+.f64 (.f64 -4/45 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 2/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 2))) (.f64 (sqrt.f64 (log.f64 u1)) -2)) (+.f64 (+.f64 (.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 4))) (.f64 (sqrt.f64 (log.f64 u1)) 2/3))) (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (pow.f64 (.f64 u2 (PI.f64)) 6))) (.f64 (sqrt.f64 (log.f64 u1)) -4/45))))
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(+.f64 (.f64 (sqrt.f64 (log.f64 u1)) (+.f64 (sqrt.f64 -2) (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 -2) -2)))) (+.f64 (.f64 -4/45 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 6) (sqrt.f64 (.f64 (log.f64 u1) -2)))) (.f64 2/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 4) (sqrt.f64 (.f64 (log.f64 u1) -2))))))
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(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -2)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
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(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
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(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -2)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
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(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -2)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 -2)))
(.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (cos.f64 (.f64 (.f64 u2 (PI.f64)) -2)) (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
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(.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) (sqrt.f64 (log.f64 u1)))
(.f64 (sqrt.f64 (log.f64 u1)) (.f64 (sqrt.f64 -1) (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) (sqrt.f64 2))))
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(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2/3))) 16)
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (*.f64 (log.f64 u1) -2))) 2/3)))) 32)
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))) 2/3))))) 64)
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 1)
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(log.f64 (/.f64 1 u1))
	0.3b	(*.f64 u2 (PI.f64))
✓	0.3b	(pow.f64 (*.f64 u2 (PI.f64)) 2)
✓	0.3b	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))

Compiler

Compiled 109 to 85 computations (22% saved)

series76.0ms (0.4%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
71.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))
2.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))
1.0ms	u2	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))
0.0ms	u1	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2))))

rewrite262.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`rational.json-1`
1680×	`rational.json-2`
1680×	`rational.json-3`
1668×	`rational.json-4`
1056×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	82
1	154	72
2	303	72
3	645	72
4	1344	68
5	3296	68
6	6582	68

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

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

Outputs

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

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

simplify1.7s (9.3%)

Algorithm

1×	egg-herbie

Rules

2894×	`rational.json-simplify-2`
2026×	`rational.json-simplify-35`
1650×	`rational.json-simplify-1`
1076×	`rational.json-simplify-41`
1038×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	125	2959
1	261	2535
2	584	2519
3	1866	2511
4	3276	2511
5	5141	2511
6	5380	2511
7	5514	2511
8	5639	2511
9	6967	2511
10	7107	2511
11	7751	2511
12	7896	2511
13	7896	2511

Stop Event

1×	node limit

Counts

77 → 62

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 83 to 46 computations (44.6% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite259.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1612×	`rational.json-simplify-35`
1470×	`rational.json-1`
1470×	`rational.json-2`
1470×	`rational.json-3`
1436×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	72
1	137	72
2	288	64
3	639	64
4	1391	64
5	2965	64
6	4962	64
7	6614	64

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify296.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1942×	`rational.json-simplify-35`
1454×	`rational.json-simplify-2`
1422×	`rational.json-simplify-1`
1308×	`exponential.json-simplify-26`
880×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	134	3028
1	342	2600
2	719	2464
3	1789	2424
4	3528	2424
5	4781	2424
6	5700	2424
7	6140	2424
8	6399	2424
9	6673	2424
10	7400	2424

Stop Event

1×	node limit

Counts

60 → 67

Calls

Call 1

Inputs
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (*.f64 (pow.f64 u2 2) (pow.f64 (PI.f64) 2)))) (sqrt.f64 (log.f64 u1))))))
(+.f64 (.f64 1/9 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 4) (pow.f64 (PI.f64) 4)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 -2/135 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 6) (pow.f64 (PI.f64) 6)))) (sqrt.f64 (log.f64 u1)))) (+.f64 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))) (.f64 -1/3 (.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 -1) (.f64 (pow.f64 u2 2) (pow.f64 (PI.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 (.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) (.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) (.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))))
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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 (+.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)))))
(.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 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(+.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 0)
(+.f64 0 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))))
(+.f64 (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) 4) (/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 1/3) 4))
(-.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 0)
(/.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 1/3) 2)
(/.f64 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2/3) 4)
(/.f64 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2/3)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2/3))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (.f64 -2 (log.f64 u1)))) 2/3)))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (*.f64 -2 (log.f64 u1)))) 2/3))))) 64)
(pow.f64 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (.f64 1/6 (sqrt.f64 (*.f64 -2 (log.f64 u1))))) 1)
(+.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 0)
(+.f64 0 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))))
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(-.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 0)
(/.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1)
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/3) 2)
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(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3))) 16)
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 2/3))))) 64)
(pow.f64 (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1)

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

eval1.0s (5.5%)

Compiler: Compiled 11760 to 8782 computations (25.3% saved)

prune349.0ms (1.9%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	507	2	509
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	508	8	516

Error

0.1b

Counts

516 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	1.1b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2)))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
✓	0.4b	(+.f64 (.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64)))))) 1/2)
	2.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	1.7b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	1.7b	(+.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))))

Compiler

Compiled 135 to 121 computations (10.4% saved)

regimes881.0ms (4.7%)

Counts

20 → 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 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 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 1/6 (.f64 (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 (*.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 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 (.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))
(+.f64 (.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2)))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 (sqrt.f64 2) 1/6))))
(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (.f64 (sqrt.f64 2) -1/3)) (*.f64 1/6 (sqrt.f64 2)))) 1/2)

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

Calls

10 calls:

455.0ms	(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))
317.0ms	u2
22.0ms	u1
13.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
13.0ms	(.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 431 to 334 computations (22.5% saved)

regimes90.0ms (0.5%)

Counts

11 → 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 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 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 1/6 (.f64 (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 (*.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 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Calls

10 calls:

13.0ms	(log.f64 u1)
13.0ms	(.f64 (.f64 2 (PI.f64)) u2)
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	(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))

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 255 to 210 computations (17.6% saved)

regimes15.0ms (0.1%)

Accuracy

Total -0.6b remaining (-33.2%)

Threshold costs -0.6b (-33.2%)

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

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

Calls

3 calls:

5.0ms	u1
4.0ms	u2
4.0ms	(log.f64 u1)

Results

Error	Segments	Branch
1.7b	1	`u1`
1.7b	1	`u2`
1.7b	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	30	172

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

soundness989.0ms (5.3%)

Algorithm

2×	egg-herbie

Rules

3204×	`rational.json-simplify-35`
2662×	`rational.json-simplify-2`
2102×	`rational.json-simplify-35`
2024×	`rational.json-simplify-2`
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	146	3023
1	315	2871
2	627	2855
3	1613	2807
4	3169	2807
5	4248	2807
6	4997	2807
7	5278	2807
8	5484	2807
9	5703	2807
10	6878	2807
11	7344	2807

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 153 to 125 computations (18.3% saved)

end38.0ms (0.2%)

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