Details

analyze41.0ms (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 (13.9%)

Results

1.9s

8256×

body

256

valid

Bogosity

preprocess107.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1200×	`rational_best.json-simplify-2`
960×	`rational_best.json-simplify-47`
834×	`rational_best.json-simplify-45`
780×	`rational_best.json-simplify-46`
778×	`trig.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	106
1	46	106
2	74	106
3	102	106
4	140	106
5	226	106
6	439	106
7	1021	106
8	2527	106
9	7023	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 u2 (PI.f64))))))
(+.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 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 -2 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 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 -2 (*.f64 (PI.f64) 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 (cos.f64 (.f64 u1 (.f64 2 (PI.f64)))) (pow.f64 (*.f64 -2 (log.f64 u2)) 1/2))))
(+.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 (pow.f64 (.f64 -2 (log.f64 u2)) 1/2) (.f64 1/6 (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 2 (*.f64 u1 (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 u1))))))

Compiler

Compiled 23 to 21 computations (8.7% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1406×	`rational_best.json-simplify-51`
1234×	`rational_best.json-simplify-1`
1178×	`trig.json-simplify-47`
928×	`rational_best.json-simplify-48`
914×	`rational_best.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	31	53
2	46	53
3	60	53
4	81	53
5	129	53
6	254	53
7	574	53
8	1429	53
9	3760	53

Stop Event

1×	node limit

Counts

1 → 7

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

eval2.0ms (0%)

Compiler: Compiled 123 to 95 computations (22.8% saved)

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	5	2	7
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	2	8

Error

0.3b

Counts

8 → 2

Alt Table

Click to see full alt table

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

Status

Error

Program

▶

0.4b

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

▶

0.4b

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

Compiler

Compiled 38 to 34 computations (10.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 53 computations (29.3% saved)

series63.0ms (0.5%)

Counts

4 → 60

Calls

15 calls:

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

rewrite69.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`rational_best.json-2`
1084×	`rational_best.json-3`
1084×	`rational_best.json-1`
1084×	`rational_best.json-5`
1082×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	108
1	166	108
2	526	108
3	2284	108

Stop Event

1×	node limit

Counts

4 → 54

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 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 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (/.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (.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) 1/3) 2)))) (#(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 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 (.f64 (PI.f64) u2) (.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 (neg.f64 (.f64 2 (.f64 (PI.f64) u2))))))) (#(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)) (/.f64 (.f64 2 (.f64 (PI.f64) u2)) (.f64 2 (.f64 (PI.f64) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.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 (.f64 2 (.f64 (PI.f64) u2)) -2) -2)))) (#(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 (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 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) 0)))) (#(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 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 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) (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (/.f64 1 (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) (/.f64 1 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 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 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2) (/.f64 1 (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 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)) (.f64 (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (/.f64 1 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2))) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 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 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (/.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (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) 2) 2)))))
((#(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 (+.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 1/6 (.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)))))) (+.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)))))) (.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)))))) (/.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 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (/.f64 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)))))) (+.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 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 (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2) (cos.f64 (.f64 2 (.f64 (PI.f64) u2)))))) (+.f64 1/2 (.f64 1/6 (.f64 (pow.f64 (.f64 -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 2 (.f64 (PI.f64) u2)))))))))) (#(struct:change #<rule 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simplify169.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

886×	`rational_best.json-simplify-78`
784×	`rational_best.json-simplify-80`
756×	`rational_best.json-simplify-2`
672×	`rational_best.json-simplify-82`
602×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	173	4422
1	347	4298
2	949	4258
3	2179	4258
4	4630	4258

Stop Event

1×	node limit

Counts

114 → 125

Calls

Call 1

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

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 53 computations (29.3% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite64.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1102×	`rational_best.json-2`
1102×	`rational_best.json-3`
1102×	`rational_best.json-1`
1102×	`rational_best.json-5`
1100×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	100
1	168	100
2	537	100
3	2317	100

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Inputs

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

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

Outputs

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

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

simplify247.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

988×	`rational_best.json-simplify-2`
718×	`rational_best.json-simplify-78`
686×	`rational_best.json-simplify-24`
678×	`rational_best.json-simplify-29`
672×	`rational_best.json-simplify-33`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	4404
1	257	4220
2	719	4156
3	1633	4156
4	3754	4156
5	6361	4156

Stop Event

1×	node limit

Counts

72 → 85

Calls

Call 1

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

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

eval134.0ms (1%)

Compiler: Compiled 7738 to 5616 computations (27.4% saved)

prune53.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	249	10	259
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	250	11	261

Error

0.0b

Counts

261 → 11

Alt Table

Click to see full alt table

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

Compiler

Compiled 771 to 619 computations (19.7% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 93 to 73 computations (21.5% saved)

series37.0ms (0.3%)

Counts

4 → 68

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	u2	@	inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
7.0ms	u1	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u2	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u1	@	0	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u2	@	-inf	(.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))

rewrite73.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational_best.json-2`
1270×	`rational_best.json-3`
1270×	`rational_best.json-1`
1266×	`exponential.json-1`
1266×	`rational_best.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	146
1	186	146
2	605	138
3	2672	138

Stop Event

1×	node limit

Counts

4 → 50

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) (/.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2))) 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (*.f64 (log.f64 (/.f64 1 u1)) 2)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 u2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 2 (.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 2 (.f64 u2 (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (.f64 2 (.f64 u2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 u2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 u2 (PI.f64))) (/.f64 (.f64 u2 (PI.f64)) (.f64 u2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (.f64 u2 (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 u2 (.f64 (PI.f64) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 2 (.f64 u2 (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (.f64 2 (.f64 u2 (PI.f64)))))))))
((#(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 (sqrt.f64 (log.f64 (/.f64 1 u1))) 0)))) (#(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 (sqrt.f64 (log.f64 (/.f64 1 u1))) (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (/.f64 1 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1)))) (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1))))) (sqrt.f64 (log.f64 (/.f64 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1))))) (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (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 (sqrt.f64 (log.f64 (/.f64 1 u1))) (/.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) (/.f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2) (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 1/6 (.f64 (cos.f64 (.f64 2 (.f64 u2 (PI.f64)))) (sqrt.f64 (.f64 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simplify178.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

852×	`rational_best.json-simplify-1`
832×	`rational_best.json-simplify-47`
794×	`rational_best.json-simplify-43`
700×	`rational_best.json-simplify-78`
648×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	156	5434
1	306	5192
2	782	4984
3	2487	4984
4	4917	4984

Stop Event

1×	node limit

Counts

118 → 123

Calls

Call 1

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

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 33 to 23 computations (30.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1068×	`rational_best.json-simplify-57`
626×	`rational_best.json-simplify-43`
560×	`rational_best.json-simplify-44`
520×	`rational_best.json-5`
518×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	63
1	98	63
2	296	63
3	1199	63
4	5021	63

Stop Event

1×	node limit

Counts

3 → 64

Calls

Call 1

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

Outputs

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

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((#(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 0 (neg.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))) (#(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 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) (*.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) (/.f64 1 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2) (/.f64 1 (/.f64 (+.f64 (*.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 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simplify206.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1308×	`rational_best.json-simplify-54`
1050×	`rational_best.json-simplify-2`
676×	`rational_best.json-simplify-24`
668×	`rational_best.json-simplify-29`
658×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	150	3392
1	301	3320
2	1174	3320
3	3668	3320
4	6528	3320

Stop Event

1×	node limit

Counts

100 → 105

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

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

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 76 to 46 computations (39.5% saved)

series3.0ms (0%)

Counts

3 → 48

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

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`rational_best.json-2`
1100×	`rational_best.json-3`
1100×	`rational_best.json-1`
1098×	`rational_best.json-5`
1096×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	170	105
2	543	105
3	2316	105

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

(*.f64 u2 (PI.f64))

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

Outputs

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

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

simplify245.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

966×	`rational_best.json-simplify-2`
718×	`rational_best.json-simplify-78`
716×	`rational_best.json-simplify-1`
646×	`rational_best.json-simplify-24`
640×	`rational_best.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	130	4589
1	265	4309
2	750	4197
3	1746	4197
4	3972	4197
5	6876	4197

Stop Event

1×	node limit

Counts

79 → 96

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

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

localize41.0ms (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 (.f64 2 (PI.f64)))
✓	0.4b	(*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1))))
✓	0.5b	(.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))

Compiler

Compiled 89 to 70 computations (21.3% saved)

series2.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite60.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1174×	`rational_best.json-2`
1174×	`rational_best.json-3`
1174×	`rational_best.json-1`
1170×	`exponential.json-1`
1170×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	76
1	168	76
2	555	76
3	2466	76

Stop Event

1×	node limit

Counts

2 → 14

Calls

Call 1

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

Outputs

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

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

simplify183.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational_best.json-simplify-78`
1290×	`rational_best.json-simplify-132`
1194×	`rational_best.json-simplify-44`
898×	`rational_best.json-simplify-80`
780×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	2340
1	190	2232
2	372	2128
3	877	2036
4	2766	2036
5	4222	2036
6	7223	2036

Stop Event

1×	node limit

Counts

46 → 52

Calls

Call 1

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

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

localize97.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
✓	0.4b	(/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2))
✓	0.5b	(.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))
✓	0.5b	(.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))

Compiler

Compiled 251 to 157 computations (37.5% saved)

series12.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2))
1.0ms	u1	@	-inf	(/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2))
1.0ms	u1	@	inf	(/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2))
1.0ms	u2	@	0	(.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
1.0ms	u1	@	0	(.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

rewrite80.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`rational_best.json-2`
1584×	`rational_best.json-3`
1584×	`rational_best.json-1`
1584×	`rational_best.json-5`
1582×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	266
1	241	266
2	768	266
3	3376	266

Stop Event

1×	node limit

Counts

4 → 39

Calls

Call 1

Inputs
(.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))
(.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))
(/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2))
(.f64 (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1/2)) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (/.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 8))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (fabs.f64 (/.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (neg.f64 (/.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 (.f64 (.f64 (log.f64 u1) 4) (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (/.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 8)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 u1 (*.f64 (log.f64 u1) 4)))))))
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simplify212.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1252×	`rational_best.json-simplify-2`
1056×	`rational_best.json-simplify-47`
810×	`rational_best.json-simplify-80`
788×	`rational_best.json-simplify-1`
766×	`rational_best.json-simplify-82`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	180	5029
1	344	4889
2	654	4825
3	1559	4753
4	3529	4753
5	5673	4753

Stop Event

1×	node limit

Counts

99 → 109

Calls

Call 1

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

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

eval553.0ms (4%)

Compiler: Compiled 20169 to 14687 computations (27.2% saved)

prune124.0ms (0.9%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	593	11	604
Fresh	5	0	5
Picked	1	0	1
Done	3	2	5
Total	602	13	615

Error

0.0b

Counts

615 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
▶	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))))) 1/2)
	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
▶	0.5b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))) 1/2)
✓	0.5b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
	0.4b	(+.f64 1/2 (.f64 (.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1))))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
	0.5b	(+.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 u1)) 3)))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))
	0.4b	(+.f64 1/2 (.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))))
▶	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
	0.5b	(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) (.f64 4 (.f64 (log.f64 u1) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))) 1/2) (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2)) 1/6))))
▶	0.7b	(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))

Compiler

Compiled 697 to 560 computations (19.7% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 58 computations (33.3% saved)

series8.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite70.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1256×	`rational_best.json-2`
1256×	`rational_best.json-3`
1256×	`rational_best.json-1`
1252×	`exponential.json-1`
1252×	`rational_best.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	125
1	185	125
2	618	117
3	2660	109

Stop Event

1×	node limit

Counts

3 → 39

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify184.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

970×	`rational_best.json-simplify-1`
964×	`rational_best.json-simplify-47`
802×	`rational_best.json-simplify-43`
714×	`rational_best.json-simplify-78`
672×	`rational_best.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	152	5335
1	315	4759
2	824	4631
3	2707	4631
4	5036	4631

Stop Event

1×	node limit

Counts

99 → 114

Calls

Call 1

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

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

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.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 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 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
0.0ms	u1	@	0	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))
0.0ms	u1	@	inf	(*.f64 (sqrt.f64 2) (sqrt.f64 (log.f64 (/.f64 1 u1))))

rewrite123.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational_best.json-simplify-57`
844×	`rational_best.json-simplify-44`
660×	`rational_best.json-2`
660×	`rational_best.json-3`
660×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	123	81
2	365	81
3	1494	81
4	6350	81

Stop Event

1×	node limit

Counts

3 → 40

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

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

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1382×	`rational_best.json-simplify-80`
1326×	`rational_best.json-simplify-129`
1278×	`rational_best.json-simplify-78`
1188×	`rational_best.json-simplify-94`
1092×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	97	2022
1	194	1974
2	724	1974
3	3673	1974

Stop Event

1×	node limit

Counts

68 → 61

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 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(/.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (/.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(/.f64 (.f64 2 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))) 2)
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(neg.f64 (neg.f64 (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 0 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6))
(-.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 0)
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3) 2)
(pow.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1)
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) 0)
(-.f64 0 (neg.f64 (+.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 (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) 1)
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (.f64 (+.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 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))))
(.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))
(.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 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 (.f64 (+.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 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))) (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(.f64 (/.f64 (.f64 (+.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 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) 1)
(/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/3))) 2)
(pow.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) 1)
(neg.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))

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 1/6 (sqrt.f64 (log.f64 u1))))
(.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 1/6 (sqrt.f64 (log.f64 u1))))
(.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 1/6 (sqrt.f64 (log.f64 u1))))
(.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 1/6 (sqrt.f64 (log.f64 u1))))
(.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 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 0)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(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 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (/.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(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))))
(pow.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1)
(sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1))))))
(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)))) 1/6) 0)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(-.f64 0 (neg.f64 (.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)))) 1/6) 1)
(.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))))
(/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (/.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) (.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)))) 1/3) 2)
(.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)))))
(neg.f64 (neg.f64 (.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 (.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 0 (neg.f64 (+.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 (+.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 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(+.f64 1/2 (.f64 1/6 (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) (.f64 (+.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 1/6 (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) (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))))
(+.f64 1/2 (.f64 1/6 (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) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))
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(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))) (.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (/.f64 (.f64 (+.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 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1))))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2))) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(+.f64 1/2 (.f64 1/6 (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 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 2 (log.f64 (/.f64 1 u1)))) 1/6) 1/2)))
(+.f64 1/2 (.f64 1/6 (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))))))
(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))))))
(neg.f64 (neg.f64 (+.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))))))

localize121.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 82 to 51 computations (37.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1160×	`rational_best.json-2`
1160×	`rational_best.json-3`
1160×	`rational_best.json-1`
1156×	`exponential.json-1`
1156×	`rational_best.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	72
1	167	72
2	568	72
3	2459	72

Stop Event

1×	node limit

Counts

2 → 14

Calls

Call 1

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

Outputs

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

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

simplify176.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1808×	`rational_best.json-simplify-78`
1252×	`rational_best.json-simplify-2`
1086×	`rational_best.json-simplify-132`
950×	`rational_best.json-simplify-80`
912×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	2638
1	230	2260
2	478	2120
3	1289	2080
4	3941	2080
5	6812	2080

Stop Event

1×	node limit

Counts

50 → 56

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

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

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 73 computations (23.2% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite167.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational_best.json-simplify-47`
790×	`rational_best.json-5`
788×	`rational_best.json-2`
788×	`rational_best.json-3`
788×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	119
1	134	119
2	402	119
3	1693	119
4	7160	119

Stop Event

1×	node limit

Counts

3 → 99

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify275.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1190×	`rational_best.json-simplify-47`
1094×	`rational_best.json-simplify-80`
1036×	`rational_best.json-simplify-78`
1000×	`rational_best.json-simplify-24`
904×	`rational_best.json-simplify-94`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	269	9399
1	599	9303
2	1162	9255
3	3220	9219
4	7097	9219

Stop Event

1×	node limit

Counts

135 → 152

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(/.f64 1 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(/.f64 1 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(/.f64 1 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(/.f64 1 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2))
(/.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(/.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(/.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(/.f64 1 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))))
(/.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 (+.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 (+.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 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2))
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(+.f64 0 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))
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(neg.f64 (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))
(fabs.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))
(fabs.f64 (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
(fabs.f64 (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (neg.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
(fabs.f64 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (fabs.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
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(fabs.f64 (.f64 (fabs.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))))
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(fabs.f64 (-.f64 0 (.f64 (fabs.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (fabs.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))) (fabs.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))) (fabs.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))))
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(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))) (fabs.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))))))
(fabs.f64 (-.f64 0 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (fabs.f64 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
(fabs.f64 (-.f64 0 (.f64 (fabs.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))))
(fabs.f64 (-.f64 0 (.f64 (fabs.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (neg.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))))
(fabs.f64 (-.f64 0 (.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (/.f64 (.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (fabs.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 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 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 0)
(+.f64 0 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))
(-.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 0)
(-.f64 0 (neg.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (/.f64 (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))
(/.f64 (+.f64 1/2 (+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3))) 2)
(pow.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2) 1)
(neg.f64 (neg.f64 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(+.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 0)
(+.f64 0 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(-.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 0)
(-.f64 0 (neg.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))
(.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))
(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)) 1)
(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))
(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))))
(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
(.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))
(.f64 (/.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))) (.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2)))))
(.f64 (/.f64 (/.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))
(.f64 (/.f64 (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)))) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))) (.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))) 1/2))))
(pow.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) 1)
(neg.f64 (neg.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2))))

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

localize234.0ms (1.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))
✓	0.4b	(/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))
	0.5b	(.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))
	0.5b	(.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))

Compiler

Compiled 197 to 115 computations (41.6% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))
1.0ms	u1	@	-inf	(/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))
1.0ms	u1	@	inf	(/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))
1.0ms	u1	@	inf	(.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))
1.0ms	u1	@	-inf	(.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`rational_best.json-simplify-47`
1014×	`rational_best.json-5`
1012×	`rational_best.json-2`
1012×	`rational_best.json-3`
1012×	`rational_best.json-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	164
1	166	164
2	529	164
3	2269	72

Stop Event

1×	node limit

Counts

2 → 23

Calls

Call 1

Inputs

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

(*.f64 1/6 (*.f64 (/.f64 (/.f64 1 (sqrt.f64 (*.f64 (log.f64 u1) -2))) (sqrt.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))) (sqrt.f64 (*.f64 (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) (*.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))))

Outputs

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

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

simplify272.0ms (2%)

Algorithm

1×	egg-herbie

Rules

776×	`rational_best.json-simplify-2`
618×	`rational_best.json-simplify-24`
612×	`rational_best.json-simplify-29`
572×	`rational_best.json-simplify-1`
566×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	92	2107
1	154	2091
2	286	2091
3	855	2091
4	1767	2091
5	3683	2091
6	6691	2091

Stop Event

1×	node limit

Counts

47 → 44

Calls

Call 1

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

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

eval718.0ms (5.2%)

Compiler: Compiled 22221 to 16891 computations (24% saved)

prune402.0ms (2.9%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	626	5	631
Fresh	1	5	6
Picked	1	0	1
Done	2	4	6
Total	630	14	644

Error

0.0b

Counts

644 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))) (*.f64 1/6 (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
▶	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 16 (pow.f64 (log.f64 u1) 4))))) 1/2)
	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
	0.6b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (/.f64 1 (sqrt.f64 (log.f64 (/.f64 1 u1)))) (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) (log.f64 (/.f64 1 u1))))))) 1/2)
▶	0.5b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.5b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
▶	0.4b	(+.f64 1/2 (.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
	0.5b	(+.f64 1/2 (.f64 (.f64 (.f64 (sqrt.f64 1/8) (sqrt.f64 (/.f64 1 (pow.f64 (log.f64 (/.f64 1 u1)) 3)))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))))
▶	0.4b	(+.f64 1/2 (.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))))
✓	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
	0.5b	(+.f64 1/2 (.f64 (cos.f64 (.f64 u2 (.f64 2 (PI.f64)))) (.f64 (pow.f64 (.f64 (log.f64 u1) (.f64 4 (.f64 (log.f64 u1) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))))) 1/2) (.f64 (/.f64 (/.f64 1 (pow.f64 (.f64 (log.f64 u1) -2) 1/2)) (pow.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)) 1/2)) 1/6))))
▶	0.7b	(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))

Compiler

Compiled 665 to 538 computations (19.1% saved)

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 50 computations (30.6% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

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

rewrite106.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1122×	`rational_best.json-2`
1122×	`rational_best.json-1`
1120×	`rational_best.json-3`
1118×	`rational_best.json-5`
1116×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	111
1	170	111
2	547	111
3	2353	111

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs

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

(*.f64 (PI.f64) (*.f64 2 u2))

(+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (*.f64 2 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 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 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (/.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) (*.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))) 1/3)) 2)))) (#(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 (*.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 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) 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 (neg.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (+.f64 u2 u2)) (/.f64 (*.f64 (PI.f64) u2) (*.f64 (PI.f64) u2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 u2 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 0 (*.f64 (PI.f64) (*.f64 u2 4))) -2)))) (#(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 (neg.f64 (*.f64 (PI.f64) (+.f64 u2 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 (+.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 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) (/.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) (*.f64 (+.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) (*.f64 1/6 (cos.f64 (*.f64 (PI.f64) (+.f64 u2 u2))))) 1/2) (/.f64 1 (+.f64 (*.f64 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simplify388.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1012×	`rational_best.json-simplify-2`
676×	`rational_best.json-simplify-78`
628×	`rational_best.json-simplify-43`
556×	`rational_best.json-simplify-80`
460×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	4814
1	290	4630
2	795	4518
3	1803	4518
4	4239	4518

Stop Event

1×	node limit

Counts

96 → 112

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 44 to 25 computations (43.2% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite115.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1380×	`rational_best.json-simplify-57`
904×	`rational_best.json-simplify-44`
718×	`rational_best.json-simplify-43`
644×	`rational_best.json-2`
644×	`rational_best.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	75
1	122	75
2	380	63
3	1494	63
4	6236	63

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

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

simplify207.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

796×	`rational_best.json-simplify-80`
746×	`rational_best.json-simplify-129`
714×	`rational_best.json-simplify-78`
632×	`rational_best.json-simplify-94`
630×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	2374
1	196	2022
2	686	1974
3	2556	1974
4	6224	1974

Stop Event

1×	node limit

Counts

76 → 69

Calls

Call 1

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

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))
(.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))
(.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))
(.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))
(.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 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (.f64 (sqrt.f64 2) 1) (*.f64 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 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 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 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 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 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 1/6 (sqrt.f64 (log.f64 (/.f64 1 u1)))))
(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6))
(.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (log.f64 u1)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 1/6 (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 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 1/6 (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 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 1/6 (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 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 2) (pow.f64 (sqrt.f64 -1) 2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 (.f64 (sqrt.f64 2) 1) (*.f64 1/6 (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 (.f64 (sqrt.f64 (.f64 (log.f64 (/.f64 1 u1)) 2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (.f64 (sqrt.f64 2) (sqrt.f64 -1)) (sqrt.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))))) 1/2)
(+.f64 (.f64 (sqrt.f64 (.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 u1))) (log.f64 -1)) -2)) 1/6) 1/2)
(+.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(+.f64 0 (sqrt.f64 (*.f64 (log.f64 u1) -2)))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 0)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(-.f64 0 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (/.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(/.f64 (.f64 2 (sqrt.f64 (.f64 (log.f64 u1) -2))) 2)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(pow.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1)
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2))))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(sqrt.f64 (*.f64 (log.f64 u1) -2))
(*.f64 (sqrt.f64 -2) (sqrt.f64 (log.f64 u1)))
(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(+.f64 0 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 0)
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 0 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(/.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/3) 2)
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(pow.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1)
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(neg.f64 (neg.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6)))
(.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1))))
(.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))
(-.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) 0)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(-.f64 0 (neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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) (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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) (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 1 (+.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) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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) (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.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) (.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.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) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 (/.f64 1 (+.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) (+.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) (.f64 (+.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) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)) (+.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) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 (.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (/.f64 1 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))) (+.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) (+.f64 (.f64 (sqrt.f64 (*.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(.f64 (/.f64 (/.f64 1 (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2))) (+.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) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 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) (/.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2) (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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)) 2)
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 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 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))
(neg.f64 (neg.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) 1/6) 1/2)))
(+.f64 (.f64 (sqrt.f64 -2) (.f64 1/6 (sqrt.f64 (log.f64 u1)))) 1/2)
(+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))

localize222.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 89 to 69 computations (22.5% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite125.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1414×	`rational_best.json-simplify-57`
788×	`rational_best.json-simplify-44`
690×	`rational_best.json-5`
688×	`rational_best.json-2`
688×	`rational_best.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	104
1	144	104
2	394	104
3	1564	104
4	6700	104

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify222.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1742×	`rational_best.json-simplify-132`
1178×	`rational_best.json-simplify-54`
1042×	`rational_best.json-simplify-80`
954×	`rational_best.json-simplify-78`
878×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	94	2341
1	163	2293
2	317	2293
3	1078	2293
4	3549	2293

Stop Event

1×	node limit

Counts

55 → 50

Calls

Call 1

Inputs
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1)))))) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(pow.f64 (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2) 2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (log.f64 u1)) (sqrt.f64 -2))) 1/2)
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 1/2 (.f64 1/6 (.f64 (*.f64 (sqrt.f64 -1) (sqrt.f64 -2)) (sqrt.f64 (log.f64 (/.f64 1 u1))))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 u1))) (log.f64 -1))) (sqrt.f64 -2))) 1/2)
(+.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 0)
(+.f64 0 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(-.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 0)
(-.f64 0 (neg.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2) 1)
(.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2)))
(.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))))
(.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))))
(.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))
(.f64 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))
(.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2))
(.f64 (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))
(.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))) (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (.f64 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2)))))
(.f64 (/.f64 (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2)) (pow.f64 (.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 2))
(.f64 (/.f64 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2))
(.f64 (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))) 2))
(.f64 (/.f64 (/.f64 1 (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2))) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)) (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2))
(/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) 1)
(/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(/.f64 (.f64 2 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2)) 2)
(neg.f64 (neg.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2)))
(+.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 0)
(+.f64 0 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))))
(-.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 0)
(-.f64 0 (neg.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))
(/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 1)
(/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))) (/.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))))) (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))
(/.f64 (.f64 2 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))))) 2)
(pow.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))))) 1)
(neg.f64 (neg.f64 (.f64 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) 2) (/.f64 1 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2))))))))

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

localize173.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 136 to 72 computations (47.1% saved)

series31.0ms (0.2%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	u1	@	0	(.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
2.0ms	u2	@	inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
2.0ms	u2	@	-inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
2.0ms	u2	@	0	(.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))
1.0ms	u1	@	inf	(.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64)))))))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1460×	`rational_best.json-2`
1460×	`rational_best.json-3`
1460×	`rational_best.json-1`
1456×	`exponential.json-1`
1456×	`rational_best.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	141
1	208	141
2	702	141
3	3082	81

Stop Event

1×	node limit

Counts

3 → 27

Calls

Call 1

Inputs

(*.f64 (log.f64 u1) (log.f64 u1))

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

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

Outputs

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

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1652×	`rational_best.json-simplify-132`
1220×	`rational_best.json-simplify-80`
1114×	`rational_best.json-simplify-78`
886×	`rational_best.json-simplify-44`
832×	`rational_best.json-simplify-54`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	2999
1	251	2975
2	450	2875
3	957	2819
4	3891	2819

Stop Event

1×	node limit

Counts

75 → 76

Calls

Call 1

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

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

localize214.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
	0.5b	(.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))
	0.5b	(.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4)))
✓	0.7b	(pow.f64 (log.f64 u1) 3)

Compiler

Compiled 224 to 148 computations (33.9% saved)

series1.0ms (0%)

Counts

2 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	u1	@	-inf	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
0.0ms	u2	@	0	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
0.0ms	u1	@	0	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
0.0ms	u1	@	inf	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))
0.0ms	u2	@	-inf	(.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4))) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2))))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational_best.json-2`
1640×	`rational_best.json-3`
1640×	`rational_best.json-1`
1640×	`rational_best.json-5`
1638×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	132
1	249	132
2	781	132
3	3447	132

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

Inputs

(pow.f64 (log.f64 u1) 3)

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

Outputs

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

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

simplify246.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1004×	`rational_best.json-simplify-2`
954×	`rational_best.json-simplify-80`
892×	`rational_best.json-simplify-47`
882×	`rational_best.json-simplify-78`
822×	`rational_best.json-simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	2969
1	236	2853
2	477	2735
3	1165	2663
4	3677	2663
5	7363	2663

Stop Event

1×	node limit

Counts

53 → 73

Calls

Call 1

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

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

eval1.1s (7.6%)

Compiler: Compiled 18570 to 13406 computations (27.8% saved)

prune434.0ms (3.1%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	585	7	592
Fresh	3	2	5
Picked	1	0	1
Done	2	6	8
Total	591	15	606

Error

0.0b

Counts

606 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(+.f64 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (cos.f64 (.f64 (PI.f64) (*.f64 2 u2))))) 1/2)
	0.5b	(+.f64 (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (log.f64 (/.f64 1 u1))) 1/6)) 1/2)
	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) 4)))) (sqrt.f64 (.f64 16 (pow.f64 (log.f64 u1) 4))))) 1/2)
	0.7b	(+.f64 (.f64 1/6 (.f64 (/.f64 1 (sqrt.f64 (.f64 (log.f64 u1) -2))) (sqrt.f64 (.f64 (log.f64 u1) (*.f64 (log.f64 u1) 4))))) 1/2)
✓	0.4b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))))) 1/2)
	0.6b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (.f64 (log.f64 u1) (log.f64 u1)))))) 1/2)
✓	0.5b	(+.f64 (.f64 1/6 (.f64 (sqrt.f64 2) (sqrt.f64 (neg.f64 (log.f64 u1))))) 1/2)
✓	0.5b	(+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)
	0.5b	(+.f64 1/2 (.f64 (pow.f64 (.f64 (log.f64 u1) (.f64 (log.f64 u1) (.f64 (log.f64 u1) (.f64 (log.f64 u1) 16)))) 1/2) (.f64 (sqrt.f64 (.f64 -1/2 (/.f64 1 (pow.f64 (log.f64 u1) 3)))) (.f64 (.f64 (cos.f64 (.f64 2 (*.f64 u2 (PI.f64)))) 1/6) 1/2))))
	0.4b	(+.f64 1/2 (.f64 (.f64 (/.f64 1 (sqrt.f64 (neg.f64 (log.f64 u1)))) (sqrt.f64 (pow.f64 (log.f64 u1) 2))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (.f64 2 (PI.f64))))))))
	0.5b	(+.f64 1/2 (.f64 (.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 1 (pow.f64 (log.f64 u1) 3)) -1/2))) (pow.f64 (.f64 16 (pow.f64 (log.f64 u1) 4)) 1/2)) (.f64 1/6 (cos.f64 (.f64 (.f64 2 (PI.f64)) u2)))))
	0.4b	(+.f64 1/2 (.f64 (.f64 1/2 (sqrt.f64 (.f64 -1/2 (/.f64 1 (pow.f64 (log.f64 u1) 3))))) (.f64 (pow.f64 (.f64 (log.f64 u1) (.f64 (.f64 (log.f64 u1) 4) (.f64 4 (.f64 (log.f64 u1) (log.f64 u1))))) 1/2) (.f64 (cos.f64 (.f64 (PI.f64) (.f64 2 u2))) 1/6))))
✓	0.3b	(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
✓	0.7b	(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))
	0.8b	(.f64 (/.f64 1 (+.f64 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))) 1/2)) (.f64 (pow.f64 (.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2)))) (+.f64 1/2 (.f64 1/6 (sqrt.f64 (.f64 (log.f64 u1) -2))))) 2) (/.f64 1 (pow.f64 (+.f64 1/2 (.f64 1/6 (sqrt.f64 (*.f64 (log.f64 u1) -2)))) 2))))

Compiler

Compiled 385 to 321 computations (16.6% saved)

regimes527.0ms (3.8%)

Counts

36 → 1

Calls

Call 1

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

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

Calls

10 calls:

162.0ms	u1
69.0ms	u2
23.0ms	(.f64 (.f64 2 (PI.f64)) u2)
19.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
18.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))

Results

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

Compiler

Compiled 1142 to 854 computations (25.2% saved)

regimes126.0ms (0.9%)

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

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

Calls

10 calls:

60.0ms	u2
12.0ms	(.f64 (.f64 (/.f64 1 6) (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2)))
9.0ms	(.f64 (.f64 2 (PI.f64)) u2)
7.0ms	(pow.f64 (*.f64 -2 (log.f64 u1)) 1/2)
7.0ms	(log.f64 u1)

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 238 to 198 computations (16.8% saved)

regimes166.0ms (1.2%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

5 calls:

146.0ms	u2
6.0ms	(.f64 (.f64 2 (PI.f64)) u2)
5.0ms	u1
5.0ms	(log.f64 u1)
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 119 to 98 computations (17.6% saved)

regimes14.0ms (0.1%)

Accuracy

Total -0.3b remaining (-53.1%)

Threshold costs -0.3b (-53.1%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Error	Segments	Branch
0.5b	1	`u1`
0.5b	1	`u2`
0.5b	1	`(log.f64 u1)`

Compiler

Compiled 56 to 48 computations (14.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	225

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(+.f64 1/2 (.f64 (sqrt.f64 (neg.f64 (log.f64 u1))) (.f64 1/6 (.f64 (sqrt.f64 2) (cos.f64 (.f64 u2 (*.f64 2 (PI.f64))))))))
(+.f64 1/2 (.f64 (.f64 1/6 (pow.f64 (.f64 -2 (log.f64 u1)) 1/2)) (cos.f64 (.f64 (*.f64 2 (PI.f64)) u2))))
(+.f64 1/2 (.f64 (sqrt.f64 (.f64 (log.f64 u1) -2)) (.f64 1/6 (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 81 to 73 computations (9.9% saved)

soundness487.0ms (3.5%)

Algorithm

3×	egg-herbie

Rules

1406×	`rational_best.json-simplify-51`
1234×	`rational_best.json-simplify-1`
1178×	`trig.json-simplify-47`
928×	`rational_best.json-simplify-48`
914×	`rational_best.json-simplify-52`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	53
1	31	53
2	46	53
3	60	53
4	81	53
5	129	53
6	254	53
7	574	53
8	1429	53
9	3760	53
0	173	4422
1	347	4298
2	949	4258
3	2179	4258
4	4630	4258
0	156	5434
1	306	5192
2	782	4984
3	2487	4984
4	4917	4984

Stop Event

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

Compiler

Compiled 309 to 256 computations (17.2% saved)

end97.0ms (0.7%)

Compiler: Compiled 73 to 57 computations (21.9% saved)