Details

analyze39.0ms (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 (16.2%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess199.0ms (1.7%)

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)

simplify721.0ms (6.1%)

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

Compiler

Compiled 80 to 56 computations (30% saved)

series62.0ms (0.5%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
20.0ms	u1	@	0	(.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))))
13.0ms	u2	@	inf	(.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
9.0ms	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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simplify197.0ms (1.7%)

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))))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 53 computations (29.3% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite111.0ms (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)))))

simplify237.0ms (2%)

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)))))))

eval132.0ms (1.1%)

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

prune58.0ms (0.5%)

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

Compiler

Compiled 68 to 59 computations (13.2% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 71 to 49 computations (31% saved)

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))))

rewrite115.0ms (1%)

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)))))

simplify264.0ms (2.2%)

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)))))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (0.9%)

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)))))

simplify367.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

35 → 32

Calls

Call 1

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

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

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 33 computations (56% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite139.0ms (1.2%)

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)))))))

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

simplify152.0ms (1.3%)

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

localize36.0ms (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 (PI.f64) (+.f64 u2 u2))
✓	0.4b	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
✓	0.5b	(.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))

Compiler

Compiled 97 to 54 computations (44.3% saved)

series46.0ms (0.4%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	u2	@	inf	(.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
12.0ms	u1	@	-inf	(sqrt.f64 (log.f64 (/.f64 1 u1)))
6.0ms	u1	@	-inf	(.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u2	@	0	(.f64 (.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))
1.0ms	u2	@	0	(.f64 1/6 (.f64 (.f64 (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))) (sqrt.f64 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))

rewrite97.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	119
1	139	119
2	278	111
3	607	111
4	1332	111
5	3385	111
6	6750	111

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify601.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

4854×	`rational.json-simplify-51`
2362×	`rational.json-simplify-35`
2078×	`rational.json-simplify-2`
1420×	`rational.json-simplify-53`
980×	`rational.json-simplify-1`

Iterations

Useful iterations: 19 (0.0ms)

Iter	Nodes	Cost
0	152	4645
1	338	4405
2	818	4257
3	1814	4177
4	3557	4177
5	4030	4177
6	4223	4177
7	4378	4177
8	4549	4177
9	4763	4177
10	6194	4177
11	6803	4177
12	7066	4177
13	7150	4177
14	7158	4177
15	7162	4177
16	7218	4177
17	7347	4177
18	7514	4177
19	7668	4125

Stop Event

1×	node limit

Counts

97 → 111

Calls

Call 1

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

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

eval193.0ms (1.6%)

Compiler: Compiled 11767 to 8794 computations (25.3% saved)

prune88.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	515	3	518
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	516	6	522

Error

0.1b

Counts

522 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
▶	0.4b	(+.f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (+.f64 (.f64 (.f64 (sqrt.f64 2) (pow.f64 (.f64 u2 (PI.f64)) 2)) -1/3) (*.f64 (sqrt.f64 2) 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)
▶	0.9b	(+.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)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 107 to 96 computations (10.3% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)

series2.0ms (0%)

Counts

3 → 28

Calls

9 calls:

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

rewrite82.0ms (0.7%)

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	81
1	110	81
2	224	81
3	441	81
4	873	81
5	2232	81
6	5528	81

Stop Event

1×	node limit

Counts

3 → 43

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

simplify844.0ms (7.2%)

Algorithm

1×	egg-herbie

Rules

3726×	`rational.json-simplify-35`
1992×	`rational.json-simplify-2`
1266×	`rational.json-simplify-51`
994×	`rational.json-simplify-1`
802×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	106	2061
1	233	2013
2	540	2013
3	1982	2013
4	4370	2013
5	4978	2013
6	5216	2013
7	5406	2013
8	5555	2013
9	5695	2013
10	6491	2013
11	6685	2013
12	6801	2013
13	6803	2013
14	6803	2013
15	6803	2013
16	6913	2013
17	7023	2013
18	7158	2013
19	7269	2013
20	7381	2013
21	7492	2013
22	7602	2013
23	7712	2013
24	7822	2013
25	7932	2013

Stop Event

1×	node limit

Counts

71 → 64

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

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

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 113 to 86 computations (23.9% saved)

series6.0ms (0.1%)

Counts

4 → 48

Calls

15 calls:

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

rewrite99.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1774×	`rational.json-1`
1774×	`rational.json-2`
1774×	`rational.json-3`
1026×	`rational.json-simplify-35`
970×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	116
1	152	116
2	288	106
3	596	106
4	1231	106
5	3349	102
6	6994	102

Stop Event

1×	node limit

Counts

4 → 65

Calls

Call 1

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

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

simplify185.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2764×	`rational.json-simplify-51`
2136×	`rational.json-simplify-2`
1698×	`rational.json-simplify-53`
1694×	`rational.json-simplify-35`
726×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	164	3663
1	372	3239
2	867	3223
3	2089	3215
4	4226	3215
5	4777	3215
6	5189	3215
7	5419	3215
8	5419	3215

Stop Event

1×	node limit

Counts

113 → 86

Calls

Call 1

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

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

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 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)
✓	0.4b	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))

Compiler

Compiled 89 to 64 computations (28.1% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite90.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`rational.json-1`
1518×	`rational.json-2`
1518×	`rational.json-3`
1510×	`rational.json-4`
1506×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	141	76
2	290	76
3	654	72
4	1449	72
5	3255	72
6	6424	72

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

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

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

simplify271.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1926×	`rational.json-simplify-35`
1534×	`rational.json-simplify-1`
1198×	`rational.json-simplify-53`
1146×	`rational.json-simplify-2`
936×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	114	2728
1	266	2604
2	574	2548
3	1446	2484
4	2825	2484
5	4303	2484
6	5047	2484
7	5785	2484
8	6150	2484
9	6390	2484
10	6647	2484
11	7386	2484

Stop Event

1×	node limit

Counts

58 → 61

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

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

eval116.0ms (1%)

Compiler: Compiled 6102 to 5161 computations (15.4% saved)

prune41.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	268	3	271
Fresh	0	0	0
Picked	1	0	1
Done	2	3	5
Total	271	6	277

Error

0.1b

Counts

277 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2)))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
▶	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)
▶	0.9b	(+.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)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 101 to 90 computations (10.9% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

series3.0ms (0%)

Counts

4 → 48

Calls

12 calls:

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

rewrite125.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	97	88
2	202	76
3	402	76
4	774	76
5	1792	76
6	3504	76
7	5063	76
8	6758	76

Stop Event

1×	node limit

Counts

4 → 73

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

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

simplify701.0ms (6%)

Algorithm

1×	egg-herbie

Rules

3208×	`rational.json-simplify-2`
2792×	`rational.json-simplify-35`
2104×	`rational.json-simplify-53`
970×	`exponential.json-simplify-26`
846×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	3165
1	369	2733
2	904	2685
3	1971	2685
4	3100	2685
5	4191	2685
6	4389	2685
7	4535	2685
8	4653	2685
9	4768	2685
10	4883	2685
11	5764	2685
12	6588	2685
13	6606	2685
14	6606	2685
15	6721	2685
16	6964	2685
17	7079	2685
18	7194	2685
19	7309	2685

Stop Event

1×	node limit

Counts

121 → 113

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

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

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 45 computations (45.1% saved)

series6.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite137.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1524×	`rational.json-1`
1524×	`rational.json-2`
1524×	`rational.json-3`
1468×	`rational.json-simplify-35`
1342×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	131	72
2	282	72
3	619	64
4	1318	64
5	2780	64
6	4642	64
7	6337	64
8	7831	64

Stop Event

1×	node limit

Counts

2 → 25

Calls

Call 1

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

Outputs

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

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

simplify203.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

2940×	`rational.json-simplify-2`
1844×	`rational.json-simplify-35`
1056×	`rational.json-simplify-53`
906×	`rational.json-simplify-41`
850×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	141	2919
1	357	2601
2	776	2509
3	1921	2469
4	3177	2469
5	4836	2469
6	5373	2469
7	5867	2469
8	6380	2469
9	7946	2469

Stop Event

1×	node limit

Counts

61 → 74

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 92 to 56 computations (39.1% saved)

series4.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite134.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1458×	`rational.json-1`
1458×	`rational.json-2`
1458×	`rational.json-3`
1384×	`exponential.json-3`
1384×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	134	76
2	263	68
3	538	68
4	1075	68
5	2611	68
6	4735	68
7	6243	68
8	7547	68

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify505.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

3436×	`rational.json-simplify-35`
2308×	`rational.json-simplify-2`
1632×	`rational.json-simplify-53`
1050×	`exponential.json-simplify-26`
634×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	2964
1	251	2582
2	524	2458
3	1316	2388
4	2845	2388
5	3748	2388
6	4374	2388
7	4939	2388
8	5348	2388
9	5665	2388
10	6345	2388
11	6347	2388
12	6347	2388
13	6434	2388
14	6637	2388
15	6986	2388
16	7365	2388
17	7750	2388

Stop Event

1×	node limit

Counts

60 → 53

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

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

eval325.0ms (2.8%)

Compiler: Compiled 6738 to 5030 computations (25.3% saved)

prune55.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	327	1	328
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	327	7	334

Error

0.1b

Counts

334 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/3 (pow.f64 (.f64 u2 (PI.f64)) 2)))) (sqrt.f64 (neg.f64 (log.f64 u1)))) 1/2)
✓	0.3b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 1/2)
	0.9b	(+.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)
✓	0.9b	(+.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)
✓	0.4b	(+.f64 1/2 (.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Compiler

Compiled 115 to 103 computations (10.4% saved)

regimes177.0ms (1.5%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

10 calls:

69.0ms	(+.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)
39.0ms	(.f64 (.f64 2 (PI.f64)) u2)
15.0ms	(*.f64 -2 (log.f64 u1))
8.0ms	(.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))
8.0ms	u2

Results

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

Compiler

Compiled 320 to 255 computations (20.3% saved)

regimes64.0ms (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 (.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 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 2 (.f64 u2 (PI.f64))))) (*.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) 1/6)) 1/2)

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

Calls

10 calls:

8.0ms	(.f64 (.f64 2 (PI.f64)) u2)
7.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
7.0ms	u1
6.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
6.0ms	(log.f64 u1)

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 240 to 197 computations (17.9% saved)

regimes61.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

Calls

10 calls:

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

Results

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

Compiler

Compiled 222 to 185 computations (16.7% saved)

regimes21.0ms (0.2%)

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 (.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))))

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

Calls

5 calls:

5.0ms	(log.f64 u1)
4.0ms	(.f64 (.f64 2 (PI.f64)) u2)
4.0ms	u1
4.0ms	u2
2.0ms	(cos.f64 (.f64 (.f64 2 (PI.f64)) u2))

Results

Error	Segments	Branch
0.4b	1	`u1`
0.4b	1	`u2`
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 87 to 74 computations (14.9% saved)

regimes13.0ms (0.1%)

Accuracy

Total -0.3b remaining (-34%)

Threshold costs -0.3b (-34%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 56 to 48 computations (14.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	284

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 101 to 89 computations (11.9% saved)

soundness996.0ms (8.5%)

Algorithm

2×	egg-herbie

Rules

3204×	`rational.json-simplify-35`
2024×	`rational.json-simplify-2`
1938×	`rational.json-simplify-35`
1606×	`rational.json-simplify-1`
1022×	`rational.json-simplify-53`

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	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
1×	node limit

Compiler

Compiled 141 to 117 computations (17% saved)

end150.0ms (1.3%)

Compiler: Compiled 91 to 67 computations (26.4% saved)

Details

analyze39.0ms (0.3%)

sample1.9s (16.2%)

preprocess199.0ms (1.7%)

simplify721.0ms (6.1%)

eval2.0ms (0%)

prune2.0ms (0%)

localize36.0ms (0.3%)

series62.0ms (0.5%)

rewrite120.0ms (1%)

simplify197.0ms (1.7%)

localize35.0ms (0.3%)

series2.0ms (0%)

rewrite111.0ms (0.9%)

simplify237.0ms (2%)

eval132.0ms (1.1%)

prune58.0ms (0.5%)

localize31.0ms (0.3%)

series3.0ms (0%)

rewrite115.0ms (1%)

simplify264.0ms (2.2%)

localize14.0ms (0.1%)

series0.0ms (0%)

rewrite101.0ms (0.9%)

simplify367.0ms (3.1%)

localize24.0ms (0.2%)

series3.0ms (0%)

rewrite139.0ms (1.2%)

simplify152.0ms (1.3%)

localize36.0ms (0.3%)

series46.0ms (0.4%)

rewrite97.0ms (0.8%)

simplify601.0ms (5.1%)

eval193.0ms (1.6%)

prune88.0ms (0.7%)

localize26.0ms (0.2%)

series2.0ms (0%)

rewrite82.0ms (0.7%)

simplify844.0ms (7.2%)

localize46.0ms (0.4%)

series6.0ms (0.1%)

rewrite99.0ms (0.8%)

simplify185.0ms (1.6%)

localize39.0ms (0.3%)

series2.0ms (0%)

rewrite90.0ms (0.8%)

simplify271.0ms (2.3%)

eval116.0ms (1%)

prune41.0ms (0.4%)

localize16.0ms (0.1%)

series3.0ms (0%)

rewrite125.0ms (1.1%)

simplify701.0ms (6%)

localize30.0ms (0.3%)

series6.0ms (0.1%)

rewrite137.0ms (1.2%)

simplify203.0ms (1.7%)

localize35.0ms (0.3%)

series4.0ms (0%)

rewrite134.0ms (1.1%)

simplify505.0ms (4.3%)

eval325.0ms (2.8%)

prune55.0ms (0.5%)

regimes177.0ms (1.5%)

regimes64.0ms (0.5%)

regimes61.0ms (0.5%)

regimes21.0ms (0.2%)

regimes13.0ms (0.1%)

simplify5.0ms (0%)

soundness996.0ms (8.5%)

end150.0ms (1.3%)

Profiling