Details

analyze40.0ms (0.3%)

Algorithm

1×

Search

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

Compiler

Compiled 36 to 30 computations (16.7% saved)

sample1.9s (15.3%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess197.0ms (1.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	51	106
2	85	106
3	145	106
4	291	106
5	626	106
6	1584	106
7	3263	106
8	4594	106
9	5564	106
10	6335	106
11	7256	106
12	7862	106
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs

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

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

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

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify704.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

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 (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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 (0.5%)

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))))
6.0ms	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))))

rewrite120.0ms (1%)

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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simplify196.0ms (1.6%)

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

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite112.0ms (0.9%)

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)))))

simplify238.0ms (1.9%)

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)))))))

eval133.0ms (1.1%)

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

prune48.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	318	4	322
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	320	4	324

Error

0.2b

Counts

324 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
▶	1.0b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
▶	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
▶	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 68 to 60 computations (11.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series3.0ms (0%)

Counts

3 → 48

Calls

12 calls:

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

rewrite113.0ms (0.9%)

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)))))

simplify258.0ms (2.1%)

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

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 73 computations (19.8% saved)

series9.0ms (0.1%)

Counts

3 → 24

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	u1	@	-inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u1	@	-inf	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
0.0ms	u1	@	0	(.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	63
1	97	63
2	206	63
3	410	63
4	807	63
5	2064	63
6	5513	63

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

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

Outputs

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

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

((#(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 4 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 4))))) (#(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 (*.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 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))) 1/2) 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 (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)))))

simplify951.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

5594×	`rational.json-simplify-41`
3702×	`rational.json-simplify-35`
1352×	`rational.json-simplify-2`
868×	`rational.json-simplify-51`
718×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	1556
1	217	1516
2	514	1516
3	1579	1516
4	3065	1516
5	3787	1516
6	3898	1516
7	3982	1516
8	4055	1516
9	4126	1516
10	4197	1516
11	4315	1516
12	4386	1516
13	4457	1516
14	4528	1516
15	4599	1516
16	4670	1516
17	4741	1516
18	4741	1516
19	4741	1516
20	4812	1516
21	4883	1516
22	4954	1516
23	5025	1516
24	5096	1516
25	5167	1516
26	5238	1516
27	5309	1516
28	5380	1516
29	5451	1516
30	5522	1516
31	5593	1516
32	5664	1516
33	5735	1516
34	5806	1516
35	5877	1516

Stop Event

1×	node limit

Counts

72 → 66

Calls

Call 1

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

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)

rewrite98.0ms (0.8%)

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)))))

simplify359.0ms (2.9%)

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))))

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.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)

series4.0ms (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 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
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	u1	@	0	(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))
0.0ms	u2	@	inf	(.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2)))))

rewrite136.0ms (1.1%)

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)))))

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

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simplify150.0ms (1.2%)

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))))))
(+.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 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)))))))

eval174.0ms (1.4%)

Compiler: Compiled 9984 to 7612 computations (23.8% saved)

prune74.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	467	3	470
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	468	6	474

Error

0.1b

Counts

474 → 6

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 (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)
▶	1.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	1.0b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
▶	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 102 to 91 computations (10.8% saved)

localize31.0ms (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 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1)))))
✓	0.5b	(*.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))

Compiler

Compiled 83 to 50 computations (39.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite115.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1694×	`rational.json-1`
1694×	`rational.json-2`
1694×	`rational.json-3`
1470×	`rational.json-simplify-35`
1108×	`exponential.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	84	57
2	184	49
3	371	49
4	704	49
5	1622	49
6	3474	49
7	5591	49
8	7338	49

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

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

Outputs

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

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

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

simplify478.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

2590×	`rational.json-simplify-35`
2576×	`rational.json-simplify-2`
2030×	`rational.json-simplify-53`
1290×	`rational.json-simplify-51`
812×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	2050
1	283	1758
2	703	1726
3	1967	1726
4	3938	1726
5	4638	1726
6	4966	1726
7	5381	1726
8	5811	1726
9	5975	1726
10	6889	1726
11	6995	1726
12	6995	1726
13	7571	1726
14	7677	1726
15	7783	1726
16	7889	1726
17	7995	1726

Stop Event

1×	node limit

Counts

90 → 85

Calls

Call 1

Inputs
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)))
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2))
(+.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/2)) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(/.f64 (.f64 2 (sqrt.f64 (.f64 (log.f64 u1) -2))) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 4) 4)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 8))))) 128)
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8))))) 128)
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(+.f64 (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 1/4 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(/.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 (sqrt.f64 (neg.f64 (log.f64 u1))) 8) 8)
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)))) 64)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8))))) 128)
(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 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2))
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(.f64 (.f64 (sqrt.f64 2) 1) (sqrt.f64 (log.f64 (/.f64 1 u1))))
(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(.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))))
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(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
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(sqrt.f64 (*.f64 -2 (+.f64 (neg.f64 (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))))
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(.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 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
(sqrt.f64 (*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
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(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) 1) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 1/6)
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
(.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 1/6)
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
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(.f64 (sqrt.f64 (.f64 -2 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))) 1/6)
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) 1/6))
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(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 (log.f64 u1)))
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(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
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(.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))
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(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
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(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
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(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/12))
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 2/3) 4)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8) 8)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)) 16)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 8))) 32)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) 64)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 8))))) 128)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 (sqrt.f64 (log.f64 u1)) 1/6))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(+.f64 0 (sqrt.f64 (neg.f64 (log.f64 u1))))
(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))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(-.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 0)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 4 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 1/4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 1/2 (.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/2) 2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(.f64 1/4 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4))
(sqrt.f64 (neg.f64 (log.f64 u1)))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 2 (sqrt.f64 (neg.f64 (log.f64 u1)))) 2)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 4) 4)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8) 8)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)) 16)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 2 (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8))) 32)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)))) 64)
(sqrt.f64 (neg.f64 (log.f64 u1)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8)))) (.f64 2 (.f64 2 (.f64 2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 8))))) 128)
(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 (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 51 to 44 computations (13.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

u1

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

0.0ms

u1

-inf

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

0.0ms

u1

inf

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

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify862.0ms (6.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

30 → 26

Calls

Call 1

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

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

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f64 (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)

series32.0ms (0.3%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
24.0ms	u2	@	inf	(.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
3.0ms	u2	@	inf	(*.f64 u2 (PI.f64))
1.0ms	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)))))
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	u2	@	-inf	(.f64 (.f64 (cos.f64 (.f64 -2 (.f64 u2 (PI.f64)))) (sqrt.f64 2)) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))

rewrite93.0ms (0.7%)

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	85
1	148	85
2	303	81
3	678	81
4	1474	81
5	3318	81
6	6575	81

Stop Event

1×	node limit

Counts

3 → 42

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

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)))))

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

simplify188.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

2660×	`rational.json-simplify-2`
972×	`rational.json-simplify-51`
888×	`rational.json-simplify-44`
856×	`rational.json-simplify-1`
734×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2780
1	395	2700
2	851	2644
3	2148	2580
4	5014	2580
5	5560	2580
6	5978	2580
7	6160	2580
8	6468	2580

Stop Event

1×	node limit

Counts

74 → 90

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)))))
(.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 -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 (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)))
(+.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))
(-.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)
(+.f64 (*.f64 u2 (PI.f64)) 0)
(+.f64 0 (*.f64 u2 (PI.f64)))
(+.f64 -1 (-.f64 1 (*.f64 u2 (neg.f64 (PI.f64)))))
(+.f64 (/.f64 (.f64 u2 (PI.f64)) 2) (/.f64 (.f64 u2 (PI.f64)) 2))
(-.f64 (*.f64 u2 (PI.f64)) 0)
(-.f64 0 (*.f64 u2 (neg.f64 (PI.f64))))
(/.f64 (*.f64 u2 (PI.f64)) 1)
(/.f64 (.f64 u2 (.f64 -2 (PI.f64))) -2)
(/.f64 (.f64 u2 (.f64 (PI.f64) 2)) 2)
(/.f64 (.f64 u2 (.f64 (PI.f64) -4)) -4)
(/.f64 (.f64 (.f64 u2 (PI.f64)) -8) -8)
(/.f64 (.f64 u2 (.f64 (PI.f64) 4)) 4)
(/.f64 (*.f64 u2 (neg.f64 (PI.f64))) -1)
(/.f64 (neg.f64 (.f64 (.f64 u2 (PI.f64)) -8)) 8)
(/.f64 (.f64 2 (.f64 (*.f64 u2 (PI.f64)) -8)) -16)
(/.f64 (.f64 2 (neg.f64 (.f64 (*.f64 u2 (PI.f64)) -8))) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 u2 (PI.f64)) -8))) -32)
(/.f64 (+.f64 (.f64 2 (neg.f64 (.f64 (.f64 u2 (PI.f64)) -8))) (.f64 2 (neg.f64 (.f64 (.f64 u2 (PI.f64)) -8)))) 32)
(pow.f64 (*.f64 u2 (PI.f64)) 1)
(neg.f64 (*.f64 u2 (neg.f64 (PI.f64))))

Outputs
(.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 (.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 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) (.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 u2 (PI.f64)) 2)) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) -1/3)))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))))
(+.f64 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) (.f64 -1/3 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (pow.f64 (.f64 u2 (PI.f64)) 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 1/6 (sqrt.f64 2))))
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(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 (PI.f64) (*.f64 u2 -2)))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 u2 (*.f64 (PI.f64) -2)))))
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(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
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(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 u2 (*.f64 (PI.f64) -2)))))
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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)))))
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(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (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 u2 -2)))))
(.f64 1/6 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (cos.f64 (.f64 u2 (*.f64 (PI.f64) -2)))))
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 -2 (*.f64 u2 (PI.f64))))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 (PI.f64) -2)))) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 1/6 (.f64 (cos.f64 (.f64 (PI.f64) (.f64 -2 u2))) (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 u2 -2)))))
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eval121.0ms (1%)

Compiler: Compiled 6957 to 5666 computations (18.6% saved)

prune143.0ms (1.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	323	3	326
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	325	7	332

Error

0.1b

Counts

332 → 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)
▶	0.5b	(+.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 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
▶	1.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	1.0b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 125 to 112 computations (10.4% saved)

localize97.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

u1

(+.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)

0.0ms

u1

inf

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

rewrite117.0ms (0.9%)

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	31
1	97	31
2	202	27
3	401	27
4	773	27
5	1790	27
6	3501	27
7	5065	27
8	6761	27

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(+.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 (*.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)))))

simplify385.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

2038×	`rational.json-simplify-48`
1708×	`rational.json-simplify-1`
1692×	`rational.json-simplify-35`
1546×	`rational.json-simplify-49`
1454×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	1128
1	168	984
2	342	968
3	1050	968
4	1976	968
5	3785	968
6	4254	968
7	4470	968
8	4636	968
9	4753	968
10	5318	968
11	6210	968
12	6470	968
13	6581	968
14	6640	968
15	6697	968
16	6754	968
17	6811	968
18	7132	968

Stop Event

1×	node limit

Counts

32 → 31

Calls

Call 1

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

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (*.f64 (sqrt.f64 2) -1/3))
✓	0.2b	(.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))))
✓	0.3b	(pow.f64 (*.f64 u2 (PI.f64)) 2)
	0.3b	(*.f64 u2 (PI.f64))

Compiler

Compiled 109 to 85 computations (22% saved)

series6.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	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	u2	@	0	(.f64 (pow.f64 (.f64 u2 (PI.f64)) 2) (*.f64 (sqrt.f64 2) -1/3))
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))))

rewrite93.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1680×	`rational.json-1`
1680×	`rational.json-2`
1680×	`rational.json-3`
1668×	`rational.json-4`
1058×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	113
1	154	103
2	303	103
3	645	103
4	1340	99
5	3290	99
6	6605	99

Stop Event

1×	node limit

Counts

3 → 52

Calls

Call 1

Inputs

(pow.f64 (*.f64 u2 (PI.f64)) 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 1/6 (sqrt.f64 2))))

(*.f64 (pow.f64 (*.f64 u2 (PI.f64)) 2) (*.f64 (sqrt.f64 2) -1/3))

Outputs

((#(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 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 1 (pow.f64 (*.f64 u2 (PI.f64)) 2))))) (#(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)))))

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

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

simplify360.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2218×	`rational.json-simplify-2`
2092×	`rational.json-simplify-51`
2068×	`rational.json-simplify-35`
1430×	`rational.json-simplify-53`
974×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3672
1	323	3248
2	853	3232
3	2075	3224
4	4167	3224
5	4633	3224
6	5002	3224
7	5182	3224
8	5356	3224
9	7731	3224
10	7771	3224
11	7787	3224
12	7787	3224

Stop Event

1×	node limit

Counts

100 → 72

Calls

Call 1

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

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

localize94.0ms (0.7%)

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)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	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	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)))))
1.0ms	u2	@	-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	@	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)))))

rewrite109.0ms (0.9%)

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)))))

simplify257.0ms (2%)

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

eval213.0ms (1.7%)

Compiler: Compiled 7091 to 5614 computations (20.8% saved)

prune144.0ms (1.1%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	326	2	328
Fresh	0	0	0
Picked	1	0	1
Done	1	5	6
Total	328	7	335

Error

0.1b

Counts

335 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	1.0b	(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 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)
✓	1.0b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	1.0b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
✓	0.3b	(+.f64 1/2 (.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
	0.9b	(+.f64 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))

Compiler

Compiled 108 to 97 computations (10.2% saved)

regimes185.0ms (1.5%)

Counts

15 → 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 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 1/2 (.f64 (.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 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 (.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 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.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 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.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 (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 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Calls

10 calls:

70.0ms	u1
41.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
16.0ms	(.f64 (.f64 2 (PI.f64)) u2)
10.0ms	(+.f64 (.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))) 1/2)
9.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))

Results

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

Compiler

Compiled 331 to 270 computations (18.4% saved)

regimes60.0ms (0.5%)

Counts

10 → 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 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
(+.f64 1/2 (.f64 (.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 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 (.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:

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

Results

Error	Segments	Branch
0.4b	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 234 to 196 computations (16.2% saved)

regimes14.0ms (0.1%)

Counts

5 → 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 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 68 to 59 computations (13.2% saved)

regimes11.0ms (0.1%)

Accuracy

Total -0.2b remaining (-20.7%)

Threshold costs -0.2b (-20.7%)

Counts

2 → 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)

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

Calls

3 calls:

4.0ms	u2
3.0ms	u1
3.0ms	(log.f64 u1)

Results

Error	Segments	Branch
1.0b	1	`u1`
1.0b	1	`u2`
1.0b	1	`(log.f64 u1)`

Compiler

Compiled 32 to 26 computations (18.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	209

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f64 1/2 (.f64 (.f64 1/6 (.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 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.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 (.f64 1/6 (.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 1/2 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 2) 1/6)))
(+.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 76 to 69 computations (9.2% saved)

soundness1.7s (13.5%)

Algorithm

2×	egg-herbie

Rules

5594×	`rational.json-simplify-41`
3702×	`rational.json-simplify-35`
3204×	`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	106	1556
1	217	1516
2	514	1516
3	1579	1516
4	3065	1516
5	3787	1516
6	3898	1516
7	3982	1516
8	4055	1516
9	4126	1516
10	4197	1516
11	4315	1516
12	4386	1516
13	4457	1516
14	4528	1516
15	4599	1516
16	4670	1516
17	4741	1516
18	4741	1516
19	4741	1516
20	4812	1516
21	4883	1516
22	4954	1516
23	5025	1516
24	5096	1516
25	5167	1516
26	5238	1516
27	5309	1516
28	5380	1516
29	5451	1516
30	5522	1516
31	5593	1516
32	5664	1516
33	5735	1516
34	5806	1516
35	5877	1516

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 116 to 96 computations (17.2% saved)

end77.0ms (0.6%)

Compiler: Compiled 68 to 55 computations (19.1% saved)

Details

analyze40.0ms (0.3%)

sample1.9s (15.3%)

preprocess197.0ms (1.6%)

simplify704.0ms (5.6%)

eval2.0ms (0%)

prune2.0ms (0%)

localize36.0ms (0.3%)

series64.0ms (0.5%)

rewrite120.0ms (1%)

simplify196.0ms (1.6%)

localize36.0ms (0.3%)

series2.0ms (0%)

rewrite112.0ms (0.9%)

simplify238.0ms (1.9%)

eval133.0ms (1.1%)

prune48.0ms (0.4%)

localize29.0ms (0.2%)

series3.0ms (0%)

rewrite113.0ms (0.9%)

simplify258.0ms (2.1%)

localize43.0ms (0.3%)

series9.0ms (0.1%)

rewrite83.0ms (0.7%)

simplify951.0ms (7.6%)

localize14.0ms (0.1%)

series0.0ms (0%)

rewrite98.0ms (0.8%)

simplify359.0ms (2.9%)

localize23.0ms (0.2%)

series4.0ms (0%)

rewrite136.0ms (1.1%)

simplify150.0ms (1.2%)

eval174.0ms (1.4%)

prune74.0ms (0.6%)

localize31.0ms (0.2%)

series4.0ms (0%)

rewrite115.0ms (0.9%)

simplify478.0ms (3.8%)

localize26.0ms (0.2%)

series0.0ms (0%)

rewrite76.0ms (0.6%)

simplify862.0ms (6.9%)

localize39.0ms (0.3%)

series32.0ms (0.3%)

rewrite93.0ms (0.7%)

simplify188.0ms (1.5%)

eval121.0ms (1%)

prune143.0ms (1.1%)

localize97.0ms (0.8%)

series0.0ms (0%)

rewrite117.0ms (0.9%)

simplify385.0ms (3.1%)

localize48.0ms (0.4%)

series6.0ms (0%)

rewrite93.0ms (0.7%)

simplify360.0ms (2.9%)

localize94.0ms (0.7%)

series6.0ms (0%)

rewrite109.0ms (0.9%)

simplify257.0ms (2%)

eval213.0ms (1.7%)

prune144.0ms (1.1%)

regimes185.0ms (1.5%)

regimes60.0ms (0.5%)

regimes14.0ms (0.1%)

regimes11.0ms (0.1%)

simplify4.0ms (0%)

soundness1.7s (13.5%)

end77.0ms (0.6%)

Profiling