Details

analyze299.0ms (1.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	7
18.8%	18.7%	81.2%	0.1%	0%	0%	0%	8
29.9%	29.7%	69.5%	0.1%	0.8%	0%	0%	9
31%	30.4%	67.9%	0.1%	1.6%	0%	0%	10
37.3%	36.3%	61.1%	0.1%	2.5%	0%	0%	11
38.3%	36.9%	59.5%	0.1%	3.5%	0%	0%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.0s (18%)

Results

1.2s	1055×	body	2048	valid
791.0ms	1862×	body	1024	valid
567.0ms	4581×	body	256	valid
173.0ms	709×	body	512	valid
164.0ms	49×	body	4096	valid
42.0ms	331×	body	256	infinite
5.0ms	9×	body	2048	infinite
1.0ms	1×	body	8192	exit

Bogosity

preprocess97.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1636×	`rational.json-simplify-51`
1246×	`rational.json-simplify-1`
1206×	`rational.json-simplify-49`
1014×	`rational.json-simplify-46`
964×	`rational.json-simplify-19`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	40	90
2	72	90
3	163	90
4	741	90
5	4175	90
6	7116	90
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))))
(-.f64 (.f64 (PI.f64) F) (.f64 (/.f64 1 (.f64 l l)) (tan.f64 (.f64 (PI.f64) F))))
(-.f64 (.f64 (PI.f64) F) (.f64 (tan.f64 (.f64 (PI.f64) F)) (/.f64 1 (.f64 l l))))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify104.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational.json-simplify-2`
990×	`rational.json-simplify-44`
948×	`rational.json-simplify-39`
920×	`rational.json-simplify-47`
804×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	25	45
2	42	45
3	89	45
4	380	45
5	4385	45
6	6938	45

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F))))

eval1.0ms (0%)

Compiler: Compiled 30 to 14 computations (53.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

15.2b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) l)
✓	0.7b	(/.f64 1 (*.f64 F F))
✓	4.8b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	30.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series9.0ms (0.1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
1.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite81.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`rational.json-simplify-35`
1060×	`exponential.json-3`
1060×	`rational.json-1`
1060×	`rational.json-2`
1060×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	97	60
2	222	60
3	576	60
4	2419	60

Stop Event

1×	node limit

Counts

4 → 224

Calls

Call 1

Inputs
(tan.f64 (*.f64 (PI.f64) l))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 F F))
(*.f64 (PI.f64) l)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (.f64 (PI.f64) l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (.f64 (PI.f64) l)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) (.f64 2 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fabs.f64 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F F) (.f64 (.f64 F (/.f64 1 F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 F (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (.f64 2 (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (.f64 2 (fabs.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (+.f64 (/.f64 (fabs.f64 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))) (/.f64 (fabs.f64 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F (+.f64 F F)) (/.f64 (.f64 F (.f64 (.f64 F F) (+.f64 F F))) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F (+.f64 F F)) (.f64 2 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 F (+.f64 F F)) (+.f64 (.f64 (.f64 F (/.f64 1 F)) (.f64 (.f64 F (.f64 F F)) 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (+.f64 (/.f64 (.f64 2 (fabs.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))) (/.f64 (.f64 2 (fabs.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (.f64 F (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 F F)) 2) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 1 (.f64 F F)) 2) (+.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 F F) 4) (.f64 4 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 F F) 4) (+.f64 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/.f64 (+.f64 F F) (+.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (tan.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 F F) (+.f64 (.f64 (/.f64 1 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (.f64 (/.f64 1 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))) (+.f64 1 (.f64 F (/.f64 1 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 F) (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 F) (/.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (-.f64 0 (.f64 F (/.f64 F 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l)))))) (neg.f64 (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 F (.f64 (.f64 F F) (+.f64 F F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 F F))) (-.f64 0 (.f64 F 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F)))) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 2 (.f64 (.f64 F F) 4)) (/.f64 2 (.f64 (.f64 F F) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fabs.f64 (/.f64 (/.f64 -1 F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 F (/.f64 F (.f64 (.f64 F F) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F F) (fabs.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 1 (.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (.f64 F F)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (/.f64 1 F)) (/.f64 1 (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 F) (fabs.f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fabs.f64 F) (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (/.f64 1 (.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 F) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (fabs.f64 F)) (/.f64 1 (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F F) (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F (/.f64 1 F)) (/.f64 1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fabs.f64 F) 1/2) (fabs.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F))) F)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (.f64 F F))) (.f64 F 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -1 F) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 F F)) (.f64 2 (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1 (.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 (fabs.f64 F)) (fabs.f64 (/.f64 1 (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F (neg.f64 F))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (/.f64 1 (*.f64 F F))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (PI.f64) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (PI.f64) l) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (+.f64 l l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (PI.f64) (.f64 l 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 2 (.f64 (PI.f64) (.f64 l 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))))

simplify230.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1550×	`rational.json-simplify-35`
896×	`rational.json-simplify-49`
732×	`rational.json-simplify-44`
692×	`rational.json-simplify-41`
678×	`rational.json-simplify-46`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	552	12272
1	1703	11244
2	6080	10794

Stop Event

1×	node limit

Counts

284 → 363

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(/.f64 1 (pow.f64 F 2))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(+.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)
(+.f64 0 (tan.f64 (*.f64 (PI.f64) l)))
(-.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)
(.f64 (tan.f64 (.f64 (PI.f64) l)) 1)
(.f64 1 (tan.f64 (.f64 (PI.f64) l)))
(.f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 2))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) 1/2)
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(/.f64 (+.f64 (/.f64 2 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 2 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (/.f64 1 (.f64 F F)) 4))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 F (+.f64 F F)))
(/.f64 (+.f64 (/.f64 (.f64 (.f64 F F) 4) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 (.f64 F F) 4) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) 8)
(/.f64 (+.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 (/.f64 1 F) 4))
(/.f64 (+.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 2 (/.f64 2 F)))
(/.f64 (+.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (neg.f64 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 (/.f64 1 F) -2))
(/.f64 (+.f64 (/.f64 (.f64 F (.f64 (.f64 F F) (+.f64 F F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 F (.f64 (.f64 F F) (+.f64 F F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 (.f64 F F) 4))
(/.f64 (+.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (+.f64 F F))
(/.f64 (+.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 2 (fabs.f64 F)))
(/.f64 (+.f64 (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F (.f64 2 (neg.f64 F))))
(/.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 F F))) F)
(/.f64 (+.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (*.f64 2 (neg.f64 F)))
(/.f64 (+.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F))) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F)))) (+.f64 (neg.f64 (fabs.f64 F)) (neg.f64 (fabs.f64 F))))
(/.f64 (+.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (*.f64 F (+.f64 F F)))
(/.f64 (neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) (neg.f64 (.f64 (.f64 F F) 4)))
(/.f64 (neg.f64 (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) F)) (neg.f64 (+.f64 F F)))
(/.f64 (neg.f64 (/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (fabs.f64 F))) (-.f64 0 (*.f64 2 (fabs.f64 F))))
(/.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))) (*.f64 F (+.f64 F F)))
(/.f64 (neg.f64 (neg.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))) (-.f64 0 (neg.f64 (*.f64 F (+.f64 F F)))))
(/.f64 (neg.f64 (.f64 F (/.f64 1 F))) (-.f64 0 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))) (-.f64 0 (*.f64 F (/.f64 1 F))))
(/.f64 (neg.f64 (.f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (neg.f64 (+.f64 F F)))
(/.f64 (neg.f64 (.f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (fabs.f64 F)))) (-.f64 0 (*.f64 2 (fabs.f64 F))))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (-.f64 0 (.f64 F (.f64 2 (neg.f64 F)))))
(/.f64 (neg.f64 (/.f64 1 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (/.f64 1 (*.f64 F F))))
(/.f64 (neg.f64 (/.f64 F (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (/.f64 -1 F))
(/.f64 (neg.f64 (/.f64 2 (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (.f64 (/.f64 1 (.f64 F F)) 2)))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F (neg.f64 F)))
(/.f64 (neg.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (*.f64 2 (/.f64 1 F))))
(/.f64 (neg.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (/.f64 2 F)))
(/.f64 (neg.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (/.f64 1 F))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 (.f64 F F) (+.f64 F F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (.f64 F (+.f64 F F))))
(/.f64 (neg.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (+.f64 F F)) 2) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (neg.f64 (fabs.f64 F)))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F))
(/.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 F F))) (-.f64 0 (.f64 F 1/2)))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F)
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (fabs.f64 F)))) (fabs.f64 F))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 F (neg.f64 F)))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(+.f64 (/.f64 1 (*.f64 F F)) 0)
(+.f64 0 (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 2 (.f64 (.f64 F F) 4)) (/.f64 2 (.f64 (.f64 F F) 4)))
(-.f64 (/.f64 1 (*.f64 F F)) 0)
(.f64 1 (/.f64 1 (.f64 F F)))
(*.f64 1 (fabs.f64 (/.f64 (/.f64 -1 F) F)))
(.f64 F (/.f64 F (.f64 (.f64 F F) (.f64 F F))))
(.f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (*.f64 F F))))
(.f64 (.f64 F F) (fabs.f64 (/.f64 1 (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (/.f64 1 (.f64 F F)) 1)
(.f64 (/.f64 1 (.f64 F F)) (*.f64 F (/.f64 1 F)))
(.f64 2 (/.f64 (/.f64 1 (.f64 F F)) 2))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) 2)))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(.f64 (.f64 (/.f64 1 (*.f64 F F)) 2) 1/2)
(.f64 (.f64 2 (/.f64 1 F)) (/.f64 1 (+.f64 F F)))
(.f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))
(.f64 (fabs.f64 F) (fabs.f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F)))))
(.f64 (fabs.f64 F) (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F))))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 F F)) 2))
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(*.f64 (/.f64 -1 F) (/.f64 -1 F))
(*.f64 (/.f64 1 (fabs.f64 F)) (/.f64 1 (fabs.f64 F)))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F))))
(.f64 (.f64 F (/.f64 1 F)) (/.f64 1 (*.f64 F F)))
(.f64 (.f64 (fabs.f64 F) 1/2) (fabs.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (*.f64 F F))
(.f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F))) F)
(.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (.f64 F F))) (*.f64 F 1/2))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(.f64 (/.f64 1 (+.f64 F F)) (.f64 2 (/.f64 1 F)))
(.f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)) (fabs.f64 F))
(.f64 (/.f64 (/.f64 1 (.f64 F F)) 2) 2)
(*.f64 (/.f64 2 (fabs.f64 F)) (fabs.f64 (/.f64 1 (+.f64 F F))))
(pow.f64 (/.f64 1 (*.f64 F F)) 1)
(neg.f64 (/.f64 (/.f64 -1 F) F))
(fabs.f64 (/.f64 1 (*.f64 F F)))
(fabs.f64 (/.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F (neg.f64 F))))))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) 0)
(+.f64 0 (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) 0)
(/.f64 (*.f64 (PI.f64) l) 1)
(/.f64 (*.f64 (PI.f64) (+.f64 l l)) 2)
(/.f64 (.f64 (PI.f64) (.f64 l 4)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 l 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 2 (.f64 (PI.f64) (.f64 l 4)))) 16)
(pow.f64 (*.f64 (PI.f64) l) 1)

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/2)))))
(+.f64 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (*.f64 l (PI.f64))))
(+.f64 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 -1/2 (pow.f64 (PI.f64) 2))))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 (pow.f64 (PI.f64) 2) -1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 4) 1/24))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (/.f64 F (tan.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F F))))) (neg.f64 (fabs.f64 F)))
(/.f64 (neg.f64 (.f64 (.f64 F (fabs.f64 F)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))) (neg.f64 (fabs.f64 F)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F)))) (neg.f64 (.f64 F (fabs.f64 F)))) (neg.f64 (fabs.f64 F)))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F))
(/.f64 (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (.f64 (/.f64 F (tan.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 F F)))) (.f64 F (neg.f64 F)))
(.f64 (.f64 (neg.f64 F) (.f64 F F)) (/.f64 F (.f64 (neg.f64 F) (.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))) (.f64 F (*.f64 F F))))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (+.f64 F F))) (-.f64 0 (.f64 F 1/2)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) F)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 (neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (fabs.f64 F)))) (fabs.f64 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))))) (.f64 F (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(+.f64 (/.f64 1 (*.f64 F F)) 0)
(/.f64 1 (*.f64 F F))
(+.f64 0 (/.f64 1 (*.f64 F F)))
(/.f64 1 (*.f64 F F))
(+.f64 (/.f64 2 (.f64 (.f64 F F) 4)) (/.f64 2 (.f64 (.f64 F F) 4)))
(+.f64 (/.f64 2 (.f64 4 (.f64 F F))) (/.f64 2 (.f64 4 (.f64 F F))))
(+.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (.f64 F F)))
(-.f64 (/.f64 1 (*.f64 F F)) 0)
(/.f64 1 (*.f64 F F))
(.f64 1 (/.f64 1 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(*.f64 1 (fabs.f64 (/.f64 (/.f64 -1 F) F)))
(/.f64 1 (*.f64 F F))
(.f64 F (/.f64 F (.f64 (.f64 F F) (.f64 F F))))
(.f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (*.f64 F F))))
(.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (.f64 F F) (fabs.f64 (/.f64 1 (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (*.f64 F F))))
(.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (/.f64 1 (.f64 F F)) 1)
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) (*.f64 F (/.f64 1 F)))
(.f64 F (.f64 (/.f64 1 F) (/.f64 1 (*.f64 F F))))
(.f64 F (.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 F)))
(.f64 2 (/.f64 (/.f64 1 (.f64 F F)) 2))
(/.f64 1 (*.f64 F F))
(.f64 2 (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) 2)))
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(.f64 (.f64 (/.f64 1 (*.f64 F F)) 2) 1/2)
(/.f64 1 (*.f64 F F))
(.f64 (.f64 2 (/.f64 1 F)) (/.f64 1 (+.f64 F F)))
(.f64 2 (.f64 (/.f64 1 F) (/.f64 1 (+.f64 F F))))
(.f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 (/.f64 -1 F)) (.f64 F F)))
(fabs.f64 (.f64 F (/.f64 1 (.f64 F (*.f64 F F)))))
(.f64 (fabs.f64 F) (fabs.f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F)))))
(.f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 (/.f64 -1 F)) (.f64 F F)))
(fabs.f64 (.f64 F (/.f64 1 (.f64 F (*.f64 F F)))))
(.f64 (fabs.f64 F) (fabs.f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F))))
(.f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 (/.f64 -1 F)) (.f64 F F)))
(fabs.f64 (.f64 F (/.f64 1 (.f64 F (*.f64 F F)))))
(.f64 1/2 (.f64 (/.f64 1 (*.f64 F F)) 2))
(/.f64 1 (*.f64 F F))
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 -1 F) (/.f64 -1 F))
(*.f64 (/.f64 1 (fabs.f64 F)) (/.f64 1 (fabs.f64 F)))
(*.f64 (/.f64 -1 F) (/.f64 -1 F))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F))))
(.f64 (.f64 F 1/2) (/.f64 (/.f64 (+.f64 F F) (.f64 F F)) (.f64 F F)))
(.f64 1/2 (.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F))) F))
(.f64 (.f64 F (/.f64 1 F)) (/.f64 1 (*.f64 F F)))
(.f64 F (.f64 (/.f64 1 F) (/.f64 1 (*.f64 F F))))
(.f64 F (.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 F)))
(.f64 (.f64 (fabs.f64 F) 1/2) (fabs.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (.f64 1/2 (fabs.f64 F)) (/.f64 (fabs.f64 (+.f64 F F)) (.f64 (.f64 F F) (*.f64 F F))))
(.f64 1/2 (.f64 (fabs.f64 F) (/.f64 (fabs.f64 (+.f64 F F)) (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 1/2 (fabs.f64 (.f64 F (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F))))))
(.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (*.f64 F F))
(.f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (*.f64 F F))))
(.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (/.f64 F (.f64 (.f64 F F) (.f64 F F))) F)
(.f64 F (/.f64 F (.f64 (.f64 F F) (.f64 F F))))
(.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (.f64 F F))) (*.f64 F 1/2))
(.f64 (.f64 F 1/2) (/.f64 (/.f64 (+.f64 F F) (.f64 F F)) (.f64 F F)))
(.f64 1/2 (.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (*.f64 F F))) F))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 1 (+.f64 F F)) (.f64 2 (/.f64 1 F)))
(.f64 2 (.f64 (/.f64 1 F) (/.f64 1 (+.f64 F F))))
(.f64 (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)) (fabs.f64 F))
(.f64 (fabs.f64 F) (/.f64 (/.f64 1 (.f64 F F)) (fabs.f64 F)))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 (/.f64 -1 F)) (.f64 F F)))
(fabs.f64 (.f64 F (/.f64 1 (.f64 F (*.f64 F F)))))
(.f64 (/.f64 (/.f64 1 (.f64 F F)) 2) 2)
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 2 (fabs.f64 F)) (fabs.f64 (/.f64 1 (+.f64 F F))))
(*.f64 (/.f64 2 (fabs.f64 F)) (/.f64 1 (fabs.f64 (+.f64 F F))))
(pow.f64 (/.f64 1 (*.f64 F F)) 1)
(/.f64 1 (*.f64 F F))
(neg.f64 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(fabs.f64 (/.f64 1 (*.f64 F F)))
(/.f64 1 (*.f64 F F))
(fabs.f64 (/.f64 (.f64 F F) (.f64 F (.f64 F (.f64 F (neg.f64 F))))))
(/.f64 (.f64 F F) (fabs.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F))))))
(/.f64 (fabs.f64 F) (fabs.f64 (.f64 (neg.f64 F) (.f64 F F))))
(fabs.f64 (/.f64 F (.f64 (neg.f64 F) (.f64 F F))))
(fabs.f64 (neg.f64 (/.f64 1 (*.f64 F F))))
(/.f64 1 (*.f64 F F))
(+.f64 (*.f64 (PI.f64) l) 0)
(*.f64 l (PI.f64))
(+.f64 0 (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) 0)
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 l l)) 2)
(*.f64 l (PI.f64))
(/.f64 (.f64 (PI.f64) (.f64 l 4)) 4)
(.f64 (PI.f64) (/.f64 (.f64 l 4) 4))
(/.f64 (.f64 2 (.f64 (PI.f64) (*.f64 l 4))) 8)
(/.f64 (.f64 (PI.f64) (.f64 l 4)) 4)
(.f64 (PI.f64) (/.f64 (.f64 l 4) 4))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 2 (.f64 (PI.f64) (.f64 l 4)))) 16)
(/.f64 (.f64 (PI.f64) (.f64 l 4)) 4)
(.f64 (PI.f64) (/.f64 (.f64 l 4) 4))
(pow.f64 (*.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))

eval262.0ms (1.6%)

Compiler: Compiled 10295 to 3673 computations (64.3% saved)

prune201.0ms (1.2%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	352	21	373
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	352	22	374

Error

10.4b

Counts

374 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 F (/.f64 1 F))))
	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	15.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))
▶	10.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	15.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F))))))) (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))))) (.f64 4 (*.f64 F F))))
▶	39.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
	19.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (/.f64 1 F)) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
	41.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (tan.f64 (.f64 (PI.f64) l)))))
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
	18.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F F))) (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (neg.f64 (/.f64 2 F))))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))
	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (.f64 (PI.f64) l)))))
	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))
▶	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
▶	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
✓	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
	19.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
	17.8b	(-.f64 (.f64 (PI.f64) l) (.f64 F (/.f64 4 (.f64 (/.f64 2 F) (.f64 2 (.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))))))

Compiler

Compiled 898 to 526 computations (41.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
✓	0.6b	(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	30.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	l	@	0	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	l	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	l	@	inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`rational.json-1`
1756×	`rational.json-2`
1756×	`rational.json-4`
1756×	`rational.json-3`
1458×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	99	50
2	246	44
3	707	44
4	2571	44
5	6508	44

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

Inputs
(/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (.f64 F (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l)))))) (/.f64 1 (.f64 F (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (+.f64 F F)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (/.f64 (/.f64 1/2 F) F) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (/.f64 (/.f64 1/2 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4) (/.f64 1 (.f64 F (.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 F) (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 1/2 F) F) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (+.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (tan.f64 (.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 F (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 F F) (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 F F) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F 4) (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 F (/.f64 2 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 F) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1/2) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) (.f64 F 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1 (*.f64 F (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))))) (/.f64 1 (*.f64 F (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 F F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (/.f64 1/2 F) F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (/.f64 1/2 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4) (/.f64 1 (*.f64 F (*.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 F) (/.f64 1 (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 F) (*.f64 (/.f64 1/2 F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1/2 F) F) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (+.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (*.f64 F 4))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 F F) (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 F F) (*.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F 4) (/.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/2) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4)) (*.f64 F 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))))

simplify115.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational.json-simplify-53`
1100×	`rational.json-simplify-49`
1052×	`rational.json-simplify-2`
986×	`rational.json-simplify-41`
786×	`rational.json-simplify-1`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	229	5410
1	511	4926
2	1108	4850
3	2708	4790
4	4744	4788

Stop Event

1×	node limit

Counts

110 → 123

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
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(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64))))
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(.f64 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)
(.f64 (.f64 F 4) (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)))
(.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) F)
(.f64 1/2 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))))
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(.f64 -1 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(.f64 -1 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))))
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(.f64 (.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) 2)
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(.f64 (.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/2) (+.f64 F F))
(.f64 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) -1)
(.f64 (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) (.f64 F 4))
(.f64 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))
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(neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))

Outputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
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(.f64 2 (.f64 (/.f64 (/.f64 1/2 F) F) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 2 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 1/2 F) F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 2 (/.f64 1/2 (.f64 F F))))
(.f64 2 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/2 (.f64 F F))))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 (/.f64 1/2 F) F))
(.f64 2 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 1/2 F) F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 2 (/.f64 1/2 (.f64 F F))))
(.f64 2 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/2 (.f64 F F))))
(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (.f64 4 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 4 (/.f64 1 (.f64 4 (*.f64 F F)))))
(.f64 4 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/4 (.f64 F F))))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))) 1/2)
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (/.f64 2 (.f64 F F)) 1/2))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 1/2 (/.f64 2 (.f64 F F))))
(.f64 (/.f64 2 F) (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l))))))
(.f64 (/.f64 2 F) (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 2 (/.f64 1 F))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F 2)))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (+.f64 F F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (/.f64 1/2 F) (/.f64 2 F)))
(.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 2 F) (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 2 (/.f64 1 F))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F 2)))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (+.f64 F F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (/.f64 1/2 F) (/.f64 2 F)))
(.f64 1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (/.f64 2 (.f64 F F)) 1/2))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 1/2 (/.f64 2 (.f64 F F))))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 -1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (/.f64 1/2 F) F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
(.f64 2 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (/.f64 1/2 F) F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 2 (/.f64 1/2 (.f64 F F))))
(.f64 2 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/2 (.f64 F F))))
(.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 2 F))
(.f64 (/.f64 2 F) (/.f64 1 (.f64 F (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 2 (/.f64 1 F))))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F 2)))
(.f64 (/.f64 2 F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (+.f64 F F)))
(.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (/.f64 1/2 F) (/.f64 2 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (+.f64 F F))) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))
(.f64 (.f64 4 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 4 (/.f64 1 (.f64 4 (*.f64 F F)))))
(.f64 4 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/4 (.f64 F F))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 2) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(+.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 0)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(+.f64 0 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(+.f64 (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) (.f64 F (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(-.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 0)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(-.f64 0 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 F (/.f64 1 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 1)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 2 (.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (+.f64 F F) (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (+.f64 F F) (.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/2))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))) 1/2)
(.f64 F (.f64 (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))) 1/2))
(.f64 (.f64 F 4) (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) F)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 1/2 (.f64 F (/.f64 2 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 F (.f64 (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))) 1/2))
(.f64 (neg.f64 F) (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 -1 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 -1 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (.f64 F (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) 2)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1/2) (+.f64 F F))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 F (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)) (.f64 F 4))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(.f64 (/.f64 -1 (tan.f64 (.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1)
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(neg.f64 (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))
(neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 F (tan.f64 (*.f64 l (PI.f64))))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 l (PI.f64))
	0.3b	(*.f64 (PI.f64) l)
	0.7b	(/.f64 1 (*.f64 F F))
✓	11.5b	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

Compiler

Compiled 42 to 16 computations (61.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))

rewrite143.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1116×	`exponential.json-3`
1116×	`rational.json-1`
1116×	`rational.json-2`
1116×	`rational.json-4`
1116×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	86	30
2	213	30
3	563	30
4	2476	30
5	7895	30

Stop Event

1×	node limit

Counts

2 → 103

Calls

Call 1

Inputs
(.f64 (/.f64 1 (.f64 F F)) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))

Outputs

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egg-rr> (2) ((x /.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 (*.f64 F F) (*.f64 (PI.f64) 1/2)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (*.f64 (*.f64 F (+.f64 F F)) (*.f64 (/.f64 F (*.f64 l (/.f64 (PI.f64) F))) (/.f64 1 (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (+.f64 F F) (*.f64 l (/.f64 (PI.f64) F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (*.f64 2 (fabs.f64 F)) (*.f64 l (/.f64 (PI.f64) (fabs.f64 F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (+.f64 F F)) (/.f64 (*.f64 F (*.f64 F (*.f64 F (+.f64 F F)))) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (+.f64 F F)) (*.f64 2 (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) 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(*.f64 F (*.f64 F (*.f64 F F))) (neg.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (neg.f64 F)) (-.f64 0 (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 -1 F) (/.f64 F (neg.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (*.f64 (PI.f64) 4)) (*.f64 F (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (-.f64 0 (/.f64 (/.f64 (*.f64 F F) (*.f64 (PI.f64) 1/2)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (*.f64 F (*.f64 F (+.f64 F F)))) (*.f64 2 (*.f64 (*.f64 F F) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 F F) (*.f64 F (neg.f64 F))) (*.f64 (*.f64 F (neg.f64 F)) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F))) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (*.f64 F F)) (*.f64 F (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (*.f64 F (fabs.f64 F))) (*.f64 (fabs.f64 F) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l (PI.f64))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (PI.f64)) (/.f64 2 F)) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F)))) (*.f64 2 (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 (*.f64 l 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(neg.f64 (*.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 F (*.f64 F F)) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 F (*.f64 F (fabs.f64 F))) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 (*.f64 F F) (*.f64 F (neg.f64 F))) (*.f64 (*.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 (*.f64 l (PI.f64)) (+.f64 F F))) (-.f64 0 (*.f64 F 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F)))) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F))))) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 (neg.f64 (*.f64 l (PI.f64))))) (*.f64 F (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 1)))))

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

simplify98.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1444×	`rational.json-simplify-50`
1250×	`rational.json-simplify-2`
1062×	`rational.json-simplify-35`
658×	`rational.json-simplify-49`
590×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2951
1	1035	2933
2	3919	2771
3	6061	2771

Stop Event

1×	node limit

Counts

127 → 126

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(+.f64 0 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(/.f64 1 (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))
(/.f64 1 (.f64 (/.f64 1 (.f64 F F)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(/.f64 1 (/.f64 (fabs.f64 F) (*.f64 l (/.f64 (PI.f64) (fabs.f64 F)))))
(/.f64 F (/.f64 (.f64 F (.f64 F F)) (*.f64 l (PI.f64))))
(/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))
(/.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (.f64 l (PI.f64))))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)
(/.f64 2 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) 1/2)) l))
(/.f64 2 (.f64 (.f64 F (+.f64 F F)) (.f64 (/.f64 F (.f64 l (/.f64 (PI.f64) F))) (/.f64 1 (*.f64 F F)))))
(/.f64 2 (/.f64 (+.f64 F F) (*.f64 l (/.f64 (PI.f64) F))))
(/.f64 2 (/.f64 (.f64 2 (fabs.f64 F)) (.f64 l (/.f64 (PI.f64) (fabs.f64 F)))))
(/.f64 (.f64 F (+.f64 F F)) (/.f64 (.f64 F (.f64 F (.f64 F (+.f64 F F)))) (*.f64 l (PI.f64))))
(/.f64 (.f64 F (+.f64 F F)) (.f64 2 (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (.f64 F (+.f64 F F)) (/.f64 (.f64 (.f64 F 4) (.f64 F (.f64 F F))) (.f64 (PI.f64) (+.f64 l l))))
(/.f64 (/.f64 1 F) (/.f64 F (*.f64 l (PI.f64))))
(/.f64 (.f64 F (.f64 F (.f64 F F))) (.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (+.f64 F F) (.f64 (/.f64 2 F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 2 (*.f64 F F))) 2)
(/.f64 4 (.f64 2 (/.f64 (/.f64 (.f64 F F) (*.f64 (PI.f64) 1/2)) l)))
(/.f64 4 (/.f64 (.f64 F (.f64 F 4)) (*.f64 l (PI.f64))))
(/.f64 4 (/.f64 (.f64 F 4) (.f64 l (/.f64 (PI.f64) F))))
(/.f64 (.f64 (/.f64 1 (.f64 F F)) 2) (/.f64 2 (*.f64 l (PI.f64))))
(/.f64 (.f64 F (.f64 F 4)) (.f64 4 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (/.f64 2 F) (/.f64 (+.f64 F F) (*.f64 l (PI.f64))))
(/.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 F (+.f64 F F)))
(/.f64 (fabs.f64 F) (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (*.f64 l (PI.f64))))
(/.f64 (fabs.f64 F) (/.f64 (.f64 F F) (.f64 l (/.f64 (PI.f64) (fabs.f64 F)))))
(/.f64 -1 (-.f64 0 (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))
(/.f64 (neg.f64 F) (.f64 (/.f64 -1 F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F F))) (neg.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 F (neg.f64 F)) (-.f64 0 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (/.f64 -1 F) (/.f64 F (neg.f64 (*.f64 l (PI.f64)))))
(/.f64 (.f64 l (.f64 (PI.f64) 4)) (.f64 F (.f64 F 4)))
(/.f64 -2 (-.f64 0 (/.f64 (/.f64 (.f64 F F) (.f64 (PI.f64) 1/2)) l)))
(/.f64 (.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) 4)
(/.f64 (.f64 F (.f64 F (.f64 F (+.f64 F F)))) (.f64 2 (.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(/.f64 (.f64 (.f64 F F) (.f64 F (neg.f64 F))) (.f64 (.f64 F (neg.f64 F)) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
(/.f64 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F))) (fabs.f64 F))
(/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(/.f64 (neg.f64 (.f64 l (PI.f64))) (.f64 F (neg.f64 F)))
(/.f64 (.f64 2 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4)) 8)
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 2 F)) (+.f64 F F))
(/.f64 (.f64 2 (.f64 l (/.f64 (PI.f64) (fabs.f64 F)))) (*.f64 2 (fabs.f64 F)))
(/.f64 (.f64 2 (neg.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 2 (neg.f64 F))))
(/.f64 (/.f64 1 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (/.f64 1 (.f64 F F)))
(/.f64 (/.f64 F (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 1 F))
(/.f64 (/.f64 2 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (.f64 (/.f64 1 (*.f64 F F)) 2))
(/.f64 (/.f64 (.f64 F (.f64 F (.f64 F F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F F))
(/.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 2 F))
(/.f64 (/.f64 (.f64 F (.f64 F 4)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) 4)
(/.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 -1 F))
(/.f64 (/.f64 (.f64 F (.f64 F (.f64 F (+.f64 F F)))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F (+.f64 F F)))
(/.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) F)
(/.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (fabs.f64 F))
(/.f64 (/.f64 (.f64 (.f64 F F) (.f64 F (neg.f64 F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F (neg.f64 F)))
(/.f64 (/.f64 (.f64 l (.f64 (PI.f64) 4)) (*.f64 F F)) 4)
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 l l)) F) (+.f64 F F))
(/.f64 (/.f64 (.f64 (PI.f64) (+.f64 l l)) (fabs.f64 F)) (.f64 2 (fabs.f64 F)))
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(/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 l (PI.f64))) (.f64 F (neg.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (.f64 2 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4)) 8)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 2 F)) (+.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (.f64 2 (.f64 l (/.f64 (PI.f64) (fabs.f64 F)))) (*.f64 2 (fabs.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (.f64 2 (neg.f64 (.f64 l (PI.f64)))) (.f64 F (.f64 2 (neg.f64 F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 1 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (/.f64 1 (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 F (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 2 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (.f64 (/.f64 1 (*.f64 F F)) 2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 F (.f64 F (.f64 F F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 2 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 F (.f64 F 4)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) 4)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (/.f64 -1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 F (.f64 F (.f64 F (+.f64 F F)))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) F)
(/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (*.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F)))))
(.f64 (/.f64 (.f64 l (/.f64 (PI.f64) F)) (/.f64 F (/.f64 F (.f64 F F)))) (/.f64 (.f64 F F) F))
(/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (*.f64 F F)))) F)
(/.f64 (.f64 F (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) F)
(/.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))) (fabs.f64 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 (.f64 F F) (.f64 F (neg.f64 F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F))))) (*.f64 F (neg.f64 F)))
(/.f64 (/.f64 (.f64 F (.f64 (neg.f64 F) (.f64 F F))) (.f64 F (neg.f64 F))) (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))
(.f64 (.f64 F F) (/.f64 (.f64 F (neg.f64 F)) (.f64 (/.f64 F (.f64 l (/.f64 (PI.f64) F))) (.f64 F (.f64 (.f64 F F) (neg.f64 F))))))
(.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 F (neg.f64 F)) (*.f64 F (neg.f64 F))))
(.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) (/.f64 (.f64 F (neg.f64 F)) (.f64 F (neg.f64 F))))
(/.f64 (/.f64 (.f64 l (.f64 (PI.f64) 4)) (*.f64 F F)) 4)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (*.f64 (PI.f64) (+.f64 l l)) F) (+.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 (PI.f64) (+.f64 l l)) (fabs.f64 F)) (.f64 2 (fabs.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F (+.f64 F F))) 1/2)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F)) (.f64 F 1/2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 (PI.f64) (+.f64 l l))) (neg.f64 (.f64 F (+.f64 F F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F))) (neg.f64 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F)))) (neg.f64 (fabs.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (.f64 l (PI.f64)))) (.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 l (.f64 (PI.f64) 4))) (neg.f64 (.f64 F (.f64 F 4))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (*.f64 (PI.f64) (+.f64 l l)) F)) (neg.f64 (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (.f64 (PI.f64) (+.f64 l l)) (fabs.f64 F))) (-.f64 0 (.f64 2 (fabs.f64 F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) (+.f64 l l)))) (.f64 F (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (.f64 (PI.f64) (+.f64 l l)))) (-.f64 0 (neg.f64 (.f64 F (+.f64 F F)))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F)))) -1)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 (.f64 l (PI.f64)) (/.f64 2 F))) (neg.f64 (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 2 (.f64 l (/.f64 (PI.f64) (fabs.f64 F))))) (-.f64 0 (*.f64 2 (fabs.f64 F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (.f64 2 (neg.f64 (.f64 l (PI.f64))))) (-.f64 0 (.f64 F (.f64 2 (neg.f64 F)))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 1 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (/.f64 1 (.f64 F F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 F (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (/.f64 -1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 2 (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (.f64 (/.f64 1 (*.f64 F F)) 2)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (.f64 F F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))) (*.f64 F (neg.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (/.f64 2 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (neg.f64 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (/.f64 1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (.f64 F (+.f64 F F)))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (*.f64 F (+.f64 F F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F F)) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 F))
(/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (*.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F)))))
(.f64 (/.f64 (.f64 l (/.f64 (PI.f64) F)) (/.f64 F (/.f64 F (.f64 F F)))) (/.f64 (.f64 F F) F))
(/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (*.f64 F F)))) F)
(/.f64 (.f64 F (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) F)
(/.f64 (neg.f64 (/.f64 (.f64 F (.f64 F (fabs.f64 F))) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))) (neg.f64 (fabs.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (/.f64 (.f64 (.f64 F F) (.f64 F (neg.f64 F))) (.f64 (.f64 F F) (/.f64 F (.f64 l (/.f64 (PI.f64) F)))))) (*.f64 F F))
(/.f64 (/.f64 (.f64 F (.f64 (neg.f64 F) (.f64 F F))) (.f64 F (neg.f64 F))) (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))
(.f64 (.f64 F F) (/.f64 (.f64 F (neg.f64 F)) (.f64 (/.f64 F (.f64 l (/.f64 (PI.f64) F))) (.f64 F (.f64 (.f64 F F) (neg.f64 F))))))
(.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 F (neg.f64 F)) (*.f64 F (neg.f64 F))))
(.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 l F)) (/.f64 (.f64 F (neg.f64 F)) (.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F))) (-.f64 0 (.f64 F 1/2)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) F)))) F)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (*.f64 l (/.f64 (PI.f64) (fabs.f64 F))))) (fabs.f64 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (.f64 l (PI.f64))))) (.f64 F (neg.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(+.f64 0 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(/.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) (+.f64 l l)) 2)
(*.f64 l (PI.f64))
(/.f64 (.f64 l (.f64 (PI.f64) 4)) 4)
(.f64 (.f64 (PI.f64) 4) (/.f64 l 4))
(/.f64 (.f64 2 (.f64 l (*.f64 (PI.f64) 4))) 8)
(.f64 (.f64 (PI.f64) 4) (/.f64 l 4))
(pow.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
	0.3b	(*.f64 (PI.f64) l)
	0.3b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	30.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	F	@	0	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	F	@	-inf	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	inf	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	-inf	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1352×	`exponential.json-3`
1352×	`rational.json-1`
1352×	`rational.json-2`
1352×	`rational.json-4`
1352×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	104	25
2	296	25
3	985	25
4	3976	25

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 2 (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 1 F) (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 F (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 F F) (/.f64 1 (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 F) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 1/2 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4) (/.f64 1 (*.f64 F (*.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) 4) (/.f64 1 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F)) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (*.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 F F)) (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 F F)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1/2) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 F) (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 2 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 F (*.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 2 (*.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (*.f64 F 4))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 4)) (*.f64 (/.f64 1 F) 4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))))

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

758×	`rational.json-simplify-49`
736×	`rational.json-simplify-2`
728×	`rational.json-simplify-41`
682×	`rational.json-simplify-46`
664×	`rational.json-simplify-43`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	176	3336
1	374	3136
2	819	3070
3	2344	3052
4	5085	3040
5	7365	3040

Stop Event

1×	node limit

Counts

76 → 93

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)
(+.f64 0 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0)
(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(.f64 F (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))))
(.f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))
(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 1)
(.f64 2 (/.f64 (/.f64 1 F) (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))
(.f64 2 (/.f64 F (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))))
(.f64 2 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 2 (.f64 F F))))
(.f64 2 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 2))
(.f64 (+.f64 F F) (/.f64 1 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))))
(.f64 (/.f64 2 F) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2))
(.f64 (/.f64 2 F) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1/2))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (/.f64 1/2 (.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))) 1/2)
(.f64 (.f64 (/.f64 1 F) 4) (/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 4)))
(.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F)) (/.f64 1/2 F))
(.f64 1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))
(.f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(.f64 -1 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)))
(.f64 (/.f64 -1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 2 (.f64 F F)) (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 (.f64 F F)))
(.f64 (/.f64 1/2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F)))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (/.f64 2 F))
(.f64 (/.f64 1/2 (.f64 F F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1/2) (/.f64 2 F))
(.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 1 (*.f64 F F)))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)) -1)
(.f64 (/.f64 (/.f64 1 F) (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) 2)
(.f64 (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) (/.f64 2 (*.f64 F F)))
(.f64 (/.f64 1 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) (+.f64 F F))
(.f64 (/.f64 F (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) 2)
(.f64 (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) F)
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 2 (.f64 F F))) 2)
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 2) 2)
(.f64 (/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 4)) (.f64 (/.f64 1 F) 4))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))

Outputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 -1 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 -1 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 -1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 -1 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))
(.f64 F (/.f64 (/.f64 2 F) (.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 F (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))))))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) F))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (*.f64 F F)))
(.f64 (/.f64 1 (.f64 F F)) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 2 (.f64 F F)) (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 (/.f64 2 (.f64 F F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (+.f64 F F) F)))
(.f64 (.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (/.f64 1 (.f64 F F)))
(.f64 F (/.f64 (/.f64 2 F) (.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 F (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))))))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) F))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (*.f64 F F)))
(.f64 (/.f64 1/2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (/.f64 2 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1/2 (.f64 F F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 1/2) (/.f64 2 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 1 (*.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)) -1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 (/.f64 1 F) (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))) (/.f64 2 (*.f64 F F)))
(.f64 (/.f64 2 (.f64 F F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 (+.f64 F F) F)))
(.f64 (/.f64 1 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) (+.f64 F F))
(.f64 (+.f64 F F) (/.f64 (/.f64 1 F) (.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (+.f64 F F) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 1/2 F))) F))
(.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 (/.f64 F (/.f64 1/2 F)) F)))
(.f64 (+.f64 F F) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 (/.f64 1/2 F) (.f64 F F))))
(.f64 (/.f64 F (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 (PI.f64) l)))))) F)
(.f64 F (/.f64 (/.f64 2 F) (.f64 F (/.f64 (+.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 F (/.f64 2 (.f64 F (.f64 F (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))))))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) F))
(.f64 F (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (*.f64 F F)))
(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 2 (.f64 F F))) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 4))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 4 (/.f64 (/.f64 1 F) (.f64 F 4))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 4 (/.f64 1 (.f64 F (*.f64 F 4)))))
(.f64 4 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/4 (.f64 F F))))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 2) 2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) 4)) (.f64 (/.f64 1 F) 4))
(.f64 (/.f64 1 F) (.f64 4 (/.f64 1 (.f64 4 (/.f64 F (tan.f64 (.f64 l (PI.f64))))))))
(.f64 (/.f64 1 F) (.f64 4 (/.f64 1/4 (/.f64 F (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (/.f64 1 F) (.f64 4 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F 4))))
(.f64 (.f64 4 (/.f64 1 F)) (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 1/4 F)))
(.f64 4 (/.f64 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 1/4 F)) F))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (/.f64 -1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	5.0b	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (.f64 F F))))
✓	29.4b	(.f64 (/.f64 1 F) (.f64 F F))
✓	30.6b	(tan.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 70 to 28 computations (60% saved)

series2.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (.f64 F F))))
0.0ms	l	@	0	(tan.f64 (*.f64 l (PI.f64)))
0.0ms	F	@	-inf	(.f64 (/.f64 1 F) (.f64 F F))
0.0ms	F	@	inf	(.f64 (/.f64 1 F) (.f64 F F))
0.0ms	l	@	inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (.f64 F F))))

rewrite74.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1188×	`rational.json-1`
1188×	`rational.json-2`
1188×	`rational.json-4`
1188×	`rational.json-3`
1186×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	75
1	117	63
2	306	51
3	1073	39
4	4790	39

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

Inputs
(tan.f64 (*.f64 l (PI.f64)))
(.f64 (/.f64 1 F) (.f64 F F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (.f64 F F))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 (*.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (neg.f64 (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (tan.f64 (*.f64 l (PI.f64))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (tan.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 2 (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (*.f64 (tan.f64 (*.f64 l (PI.f64))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2) (*.f64 F (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 F (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 F F) (/.f64 1 (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 F F) (/.f64 2 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 2 F)) (/.f64 1 (*.f64 (/.f64 1 F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F 4) (/.f64 1 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 F F) (/.f64 F (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))) (/.f64 1 (*.f64 (/.f64 1 F) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 F)) (/.f64 -1 (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (/.f64 1 F) (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 (/.f64 1 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (/.f64 -1 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (/.f64 1 F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2)) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (*.f64 F (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (/.f64 1/2 F)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 F) 2)) (*.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (/.f64 F (tan.f64 (*.f64 l (PI.f64))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (*.f64 F 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 (/.f64 1 F) (neg.f64 F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 1 F) (neg.f64 F))) (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 (/.f64 1 F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 F (/.f64 F (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 l (PI.f64))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 2 (tan.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 F F) (*.f64 F (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 F F) (/.f64 2 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 4 (*.f64 2 (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule 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(*.f64 l (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F F))))) (*.f64 F 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (/.f64 4 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F F))))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) F) (neg.f64 F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 -1 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (*.f64 F F))))) (neg.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (*.f64 l (PI.f64))) (*.f64 F (neg.f64 F))))))))

simplify117.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1672×	`rational.json-simplify-44`
1566×	`rational.json-simplify-47`
1142×	`rational.json-simplify-61`
1006×	`rational.json-simplify-35`
654×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	421	6177
1	1133	5755
2	6521	5741

Stop Event

1×	node limit

Counts

241 → 252

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
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(.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) 4) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 2 F)) (/.f64 1/2 F))
(.f64 (.f64 F 4) (/.f64 1 (/.f64 4 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (*.f64 F F))))))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 (.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))))
(.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 1 (.f64 F (*.f64 F F))))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) 1)
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))) F)
(.f64 1/2 (.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 2 (.f64 F F))))
(.f64 1/2 (/.f64 (+.f64 F F) (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))))
(.f64 1/2 (/.f64 (+.f64 F F) (/.f64 F (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 l (PI.f64))))
(.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (*.f64 F (neg.f64 F))))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 F)) (/.f64 1 (neg.f64 F)))
(.f64 -1 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (neg.f64 F))))
(.f64 -1 (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (neg.f64 F)))
(.f64 (neg.f64 F) (/.f64 1 (/.f64 -1 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))))
(.f64 (/.f64 1 (.f64 F (.f64 F F))) (.f64 (tan.f64 (*.f64 l (PI.f64))) F))
(.f64 (/.f64 (/.f64 1/2 F) F) (.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(.f64 (/.f64 1/2 F) (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 2 F)))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (neg.f64 F))) -1)
(.f64 (.f64 (/.f64 1 F) (/.f64 1/2 F)) (.f64 (tan.f64 (.f64 l (PI.f64))) 2))
(.f64 (.f64 1/2 (/.f64 1 (.f64 F F))) (.f64 (tan.f64 (*.f64 l (PI.f64))) 2))
(.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (+.f64 F F))) 2)
(.f64 (/.f64 1 (.f64 F (neg.f64 F))) (neg.f64 (tan.f64 (*.f64 l (PI.f64)))))
(.f64 (/.f64 1 (neg.f64 F)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 F)))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) 1/2)
(.f64 (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))) F)
(.f64 (/.f64 (+.f64 F F) (/.f64 F (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))) 1/2)
(.f64 (/.f64 1 (.f64 (.f64 F F) (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))) (.f64 F F))
(.f64 (/.f64 F (.f64 (.f64 F F) (/.f64 (.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))) F)
(.f64 (/.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 (.f64 F F) (tan.f64 (*.f64 l (PI.f64)))))) (fabs.f64 F))
(.f64 (/.f64 1 (/.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) (+.f64 F F))
(.f64 (/.f64 F (/.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) 2)
(.f64 (/.f64 2 (/.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) F)
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)) 2) 2)
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (tan.f64 (*.f64 l (PI.f64))) 4))
(.f64 (/.f64 1 (/.f64 4 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) (*.f64 F 4))
(.f64 (/.f64 2 (/.f64 4 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) (+.f64 F F))
(.f64 (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (neg.f64 F)) -1)
(.f64 (/.f64 1 (/.f64 -1 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F F))))) (neg.f64 F))
(pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F)) 1)
(neg.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (neg.f64 F))))

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (*.f64 (pow.f64 (PI.f64) 3) 1/3)))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/2)))))
(+.f64 (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (*.f64 -1/2 (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 (pow.f64 (PI.f64) 2) -1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 4) 1/24))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))))))
(+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (+.f64 (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2))))) -1/2)) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 1/24 (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7))))
(+.f64 (+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2))))) -1/2)) (+.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 1/24 (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (pow.f64 l 7))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
F
F
F
F
F
F
F
F
F
F
F
F
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))))
(+.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) -1/2)) (pow.f64 F 2)))))))))
(+.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 2))))))) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3))))
(+.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))) (+.f64 (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)) 1/3)) (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (pow.f64 (PI.f64) 2) (pow.f64 F 2)))))))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))))) (pow.f64 l 5)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))))
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (/.f64 F F) (*.f64 F F))
✓	3.0b	(/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F))))
	30.6b	(tan.f64 (*.f64 l (PI.f64)))
✓	38.5b	(.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))

Compiler

Compiled 113 to 14 computations (87.6% saved)

series6.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F))))
1.0ms	l	@	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F))))
1.0ms	l	@	0	(.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))
0.0ms	F	@	0	(/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F))))
0.0ms	l	@	-inf	(/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (.f64 F F))))

rewrite97.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`rational.json-1`
1948×	`rational.json-2`
1948×	`rational.json-4`
1948×	`rational.json-3`
1074×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	117
1	116	117
2	390	81
3	2027	63
4	5676	63

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

Inputs

(*.f64 (*.f64 F F) (/.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F)))))

(/.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))

(/.f64 (/.f64 F F) (*.f64 F F))

Outputs

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(*.f64 F 4) F) (/.f64 (/.f64 1 F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) F) (/.f64 (neg.f64 (neg.f64 (/.f64 1 F))) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 F)) (/.f64 (neg.f64 (/.f64 1 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 F)) (/.f64 (/.f64 F (neg.f64 (*.f64 F F))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 F)) (/.f64 (/.f64 -1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 F (*.f64 F F))) (/.f64 F (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (*.f64 F F)) (/.f64 1 (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 (*.f64 F F))) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 (*.f64 F F))) (/.f64 (/.f64 F (neg.f64 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (fabs.f64 F)) (/.f64 (/.f64 1 (fabs.f64 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (fabs.f64 F)) (/.f64 (/.f64 1 (fabs.f64 F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 F F) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 1 (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 F (*.f64 (*.f64 F F) 4))) (+.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (+.f64 F F)) (/.f64 (/.f64 2 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (+.f64 F F)) (/.f64 (/.f64 (*.f64 F 4) (*.f64 F F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 F 4)) (/.f64 (*.f64 2 (/.f64 2 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 F 4)) (/.f64 (/.f64 (*.f64 F 4) (*.f64 F F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F 2) (/.f64 (*.f64 (/.f64 1 (*.f64 F F)) 2) F))))) (#(struct:change #<rule egg-rr> (2) ((x 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F))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (neg.f64 (+.f64 F F))) (/.f64 (neg.f64 (/.f64 2 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 (*.f64 F F) 4)) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (neg.f64 (/.f64 1 F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (/.f64 F (neg.f64 (*.f64 F F))) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (/.f64 -1 F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 (*.f64 F F))) (/.f64 -1 (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 (*.f64 F F))) (/.f64 (/.f64 F (neg.f64 F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 F (neg.f64 F))) (/.f64 -1 (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 2 (neg.f64 (*.f64 F F)))) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 (*.f64 (*.f64 F F) 2))) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 2 (neg.f64 F))) (/.f64 (neg.f64 (/.f64 1 F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 (+.f64 F F))) (/.f64 (neg.f64 (/.f64 2 F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (neg.f64 F)) (/.f64 (neg.f64 (/.f64 1 F)) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (neg.f64 F)) (/.f64 (/.f64 F (neg.f64 (*.f64 F F))) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (neg.f64 F)) (/.f64 (/.f64 -1 F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (neg.f64 (*.f64 F F))) (/.f64 -1 (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 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#<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (neg.f64 (*.f64 F (*.f64 F F)))) (/.f64 (neg.f64 F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 (*.f64 F F) (neg.f64 F))) (/.f64 (neg.f64 F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 F (neg.f64 (*.f64 F F)))) (/.f64 (neg.f64 F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 2 (*.f64 (*.f64 F F) 4))) (/.f64 4 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (/.f64 (*.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (/.f64 (*.f64 F F) (*.f64 F 4))) (/.f64 (/.f64 1 (*.f64 F 4)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (*.f64 F (*.f64 F (*.f64 F F)))) (/.f64 (*.f64 F F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (neg.f64 (*.f64 F (*.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (*.f64 (*.f64 F F) (neg.f64 F))) (/.f64 (neg.f64 F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (*.f64 F (neg.f64 (*.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (*.f64 2 (*.f64 (*.f64 F F) 4))) (/.f64 2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (/.f64 (*.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 F 4) (/.f64 (*.f64 F F) (*.f64 F 4))) (/.f64 (/.f64 1 (*.f64 F 4)) (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (*.f64 F F) (*.f64 (*.f64 F F) (neg.f64 (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (/.f64 (neg.f64 (*.f64 F F)) (*.f64 F (*.f64 F (*.f64 F F)))))))))

simplify130.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational.json-simplify-35`
1054×	`rational.json-simplify-44`
1026×	`rational.json-simplify-50`
934×	`rational.json-simplify-47`
704×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	557	9665
1	1738	8899
2	6202	8609

Stop Event

1×	node limit

Counts

259 → 331

Calls

Call 1

Inputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) F)) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) F))))) (pow.f64 l 7)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 3))
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(.f64 (/.f64 F (.f64 2 (neg.f64 F))) (/.f64 (*.f64 2 (neg.f64 (/.f64 1 F))) F))
(*.f64 (/.f64 F (neg.f64 (+.f64 F F))) (/.f64 (neg.f64 (/.f64 2 F)) F))
(.f64 (/.f64 (+.f64 F F) (.f64 (*.f64 F F) 4)) (/.f64 2 F))
(*.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (neg.f64 (/.f64 1 F)) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (/.f64 F (neg.f64 (.f64 F F))) (+.f64 F F)))
(*.f64 (/.f64 (+.f64 F F) (neg.f64 F)) (/.f64 (/.f64 -1 F) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (neg.f64 (.f64 F F))) (/.f64 -1 (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (neg.f64 (.f64 F F))) (/.f64 (/.f64 F (neg.f64 F)) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 F (neg.f64 F))) (/.f64 -1 (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 2 (neg.f64 (*.f64 F F)))) (/.f64 -1 F))
(.f64 (/.f64 (+.f64 F F) (neg.f64 (.f64 (*.f64 F F) 2))) (/.f64 -1 F))
(.f64 (/.f64 (+.f64 F F) (.f64 2 (neg.f64 F))) (/.f64 (neg.f64 (/.f64 1 F)) F))
(*.f64 (/.f64 (+.f64 F F) (neg.f64 (+.f64 F F))) (/.f64 (neg.f64 (/.f64 2 F)) (+.f64 F F)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 F)) (/.f64 (neg.f64 (/.f64 1 F)) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 F)) (/.f64 (/.f64 F (neg.f64 (.f64 F F))) (.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 F)) (/.f64 (/.f64 -1 F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (.f64 F F))) (/.f64 -1 (.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (.f64 F F))) (/.f64 (/.f64 F (neg.f64 F)) (.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 F (neg.f64 F))) (/.f64 -1 (.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 2 (neg.f64 (.f64 F F)))) (/.f64 -2 (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (fabs.f64 F)) (/.f64 (/.f64 1 (fabs.f64 F)) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (.f64 (.f64 F F) 2))) (/.f64 -2 (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 2 (neg.f64 F))) (/.f64 (.f64 2 (neg.f64 (/.f64 1 F))) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (+.f64 F F))) (/.f64 (neg.f64 (/.f64 2 F)) (*.f64 F 4)))
(.f64 (/.f64 F (.f64 F (.f64 (.f64 F F) 2))) 2)
(.f64 (/.f64 F (.f64 F (.f64 (.f64 F F) 4))) (/.f64 (*.f64 F 4) F))
(.f64 (/.f64 F 4) (/.f64 (.f64 (/.f64 1 (*.f64 F F)) 4) F))
(.f64 (/.f64 F (.f64 (*.f64 F F) (neg.f64 F))) (/.f64 F (neg.f64 F)))
(.f64 (/.f64 F (.f64 F (neg.f64 (*.f64 F F)))) (/.f64 F (neg.f64 F)))
(.f64 (/.f64 F (.f64 2 (.f64 (.f64 F F) 4))) (/.f64 8 F))
(.f64 (/.f64 F (/.f64 (.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) F))
(.f64 (/.f64 F (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 (/.f64 1 (.f64 F 4)) F))
(.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F (.f64 F F)))) (/.f64 (*.f64 F F) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 (.f64 F F) 4))) 2)
(.f64 (/.f64 (+.f64 F F) (neg.f64 (.f64 F (*.f64 F F)))) (/.f64 (neg.f64 F) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 (*.f64 F F) (neg.f64 F))) (/.f64 (neg.f64 F) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 F (neg.f64 (*.f64 F F)))) (/.f64 (neg.f64 F) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (.f64 2 (.f64 (.f64 F F) 4))) (/.f64 4 F))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (+.f64 F F)))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 (/.f64 1 (.f64 F 4)) (+.f64 F F)))
(.f64 (/.f64 (.f64 F 4) (.f64 F (.f64 F (.f64 F F)))) (/.f64 (.f64 F F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (.f64 F (.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 (.f64 F F) (neg.f64 F))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 F (neg.f64 (.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (.f64 2 (.f64 (*.f64 F F) 4))) (/.f64 2 F))
(.f64 (/.f64 (.f64 F 4) (/.f64 (.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (.f64 F 4)))
(.f64 (/.f64 (.f64 F 4) (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 (/.f64 1 (.f64 F 4)) (.f64 F 4)))
(pow.f64 (/.f64 1 (*.f64 F F)) 1)
(fabs.f64 (/.f64 1 (*.f64 F F)))
(fabs.f64 (/.f64 (.f64 F F) (.f64 (.f64 F F) (neg.f64 (.f64 F F)))))
(fabs.f64 (/.f64 (neg.f64 (.f64 F F)) (.f64 F (.f64 F (.f64 F F)))))

Outputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (.f64 (PI.f64) (/.f64 l F)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) -1/2)) (pow.f64 l 3)))
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(+.f64 (.f64 l (/.f64 (PI.f64) F)) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720) (+.f64 (.f64 1/24 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (pow.f64 (PI.f64) 4) F))) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 -1/2 (pow.f64 (PI.f64) 2))))) F)))))) (pow.f64 l 7)) (+.f64 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) F)
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 3))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 3)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 3)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 3)))) (pow.f64 l 3)))
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(.f64 (/.f64 F (.f64 F -2)) (/.f64 (*.f64 (/.f64 -1 F) -2) (neg.f64 F)))
(.f64 (/.f64 (+.f64 F F) (.f64 2 (.f64 (.f64 F F) 4))) (/.f64 4 F))
(.f64 (/.f64 F (.f64 4 (*.f64 F F))) (/.f64 4 F))
(*.f64 (/.f64 1/4 F) (/.f64 4 F))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (+.f64 F F)))
(.f64 (/.f64 F (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 1 (.f64 F (*.f64 F 4))))
(.f64 (/.f64 F (/.f64 (.f64 F F) (*.f64 F 4))) (/.f64 (/.f64 1/4 F) F))
(.f64 (/.f64 F (/.f64 (/.f64 (.f64 F F) 4) F)) (/.f64 (/.f64 1/4 F) F))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 (/.f64 1 (.f64 F 4)) (+.f64 F F)))
(.f64 (/.f64 1 (.f64 (.f64 F 4) (+.f64 F F))) (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (*.f64 F 4))))
(.f64 (/.f64 (/.f64 1 F) (.f64 F 8)) (/.f64 (.f64 F 8) (.f64 F (/.f64 F F))))
(.f64 (/.f64 (.f64 F 4) (.f64 F (.f64 F (.f64 F F)))) (/.f64 (.f64 F F) (*.f64 F 4)))
(.f64 (/.f64 (.f64 F F) (.f64 F 4)) (/.f64 (/.f64 (.f64 F 4) F) (.f64 F (.f64 F F))))
(.f64 4 (.f64 (/.f64 (/.f64 F (.f64 F F)) (.f64 F F)) (/.f64 (.f64 F F) (.f64 F 4))))
(.f64 4 (.f64 (/.f64 (/.f64 F (.f64 F F)) (.f64 F F)) (/.f64 (/.f64 (*.f64 F F) 4) F)))
(.f64 (/.f64 (.f64 F 4) (neg.f64 (.f64 F (.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (.f64 4 (/.f64 F (neg.f64 (.f64 F (.f64 F F))))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(/.f64 (.f64 F 4) (/.f64 (.f64 (.f64 F F) (neg.f64 F)) (/.f64 (neg.f64 F) (.f64 F 4))))
(/.f64 (.f64 (/.f64 F (.f64 F F)) (/.f64 -4 F)) (*.f64 F (/.f64 -4 F)))
(.f64 (/.f64 (.f64 F 4) (.f64 (.f64 F F) (neg.f64 F))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (.f64 4 (/.f64 F (neg.f64 (.f64 F (.f64 F F))))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(/.f64 (.f64 F 4) (/.f64 (.f64 (.f64 F F) (neg.f64 F)) (/.f64 (neg.f64 F) (.f64 F 4))))
(/.f64 (.f64 (/.f64 F (.f64 F F)) (/.f64 -4 F)) (*.f64 F (/.f64 -4 F)))
(.f64 (/.f64 (.f64 F 4) (.f64 F (neg.f64 (.f64 F F)))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(.f64 (.f64 4 (/.f64 F (neg.f64 (.f64 F (.f64 F F))))) (/.f64 (neg.f64 F) (*.f64 F 4)))
(/.f64 (.f64 F 4) (/.f64 (.f64 (.f64 F F) (neg.f64 F)) (/.f64 (neg.f64 F) (.f64 F 4))))
(/.f64 (.f64 (/.f64 F (.f64 F F)) (/.f64 -4 F)) (*.f64 F (/.f64 -4 F)))
(.f64 (/.f64 (.f64 F 4) (.f64 2 (.f64 (*.f64 F F) 4))) (/.f64 2 F))
(.f64 (/.f64 F (.f64 F F)) (/.f64 1 F))
(.f64 (/.f64 1 F) (/.f64 F (.f64 F F)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(.f64 (/.f64 (.f64 F 4) (/.f64 (.f64 F F) (+.f64 F F))) (/.f64 (/.f64 1 (+.f64 F F)) (.f64 F 4)))
(.f64 (/.f64 1 (.f64 (.f64 F 4) (+.f64 F F))) (/.f64 (+.f64 F F) (/.f64 (.f64 F F) (*.f64 F 4))))
(.f64 (/.f64 (/.f64 1 F) (.f64 F 8)) (/.f64 (.f64 F 8) (.f64 F (/.f64 F F))))
(.f64 (/.f64 (.f64 F 4) (/.f64 (.f64 F F) (.f64 F 4))) (/.f64 (/.f64 1 (.f64 F 4)) (.f64 F 4)))
(.f64 (.f64 4 (/.f64 F (/.f64 (.f64 F F) (.f64 F 4)))) (/.f64 1 (.f64 (.f64 F 4) (*.f64 F 4))))
(.f64 (.f64 F (/.f64 4 (/.f64 (.f64 F F) (.f64 F 4)))) (/.f64 (/.f64 1/4 F) (*.f64 F 4)))
(/.f64 1 (.f64 (.f64 (.f64 F F) 16) (/.f64 (.f64 F F) (.f64 (.f64 F F) 16))))
(pow.f64 (/.f64 1 (*.f64 F F)) 1)
(/.f64 (/.f64 1 F) F)
(/.f64 1 (*.f64 F F))
(fabs.f64 (/.f64 1 (*.f64 F F)))
(/.f64 (/.f64 1 F) F)
(/.f64 1 (*.f64 F F))
(fabs.f64 (/.f64 (.f64 F F) (.f64 (.f64 F F) (neg.f64 (.f64 F F)))))
(.f64 F (/.f64 (/.f64 (+.f64 F F) (+.f64 F F)) (.f64 F (*.f64 F F))))
(.f64 F (/.f64 (/.f64 F (.f64 F F)) (*.f64 F F)))
(/.f64 (fabs.f64 F) (.f64 (.f64 F F) (fabs.f64 F)))
(fabs.f64 (/.f64 (neg.f64 (.f64 F F)) (.f64 F (.f64 F (.f64 F F)))))
(.f64 F (/.f64 (/.f64 (+.f64 F F) (+.f64 F F)) (.f64 F (*.f64 F F))))
(.f64 F (/.f64 (/.f64 F (.f64 F F)) (*.f64 F F)))
(/.f64 (fabs.f64 F) (.f64 (.f64 F F) (fabs.f64 F)))

eval817.0ms (5%)

Compiler: Compiled 37921 to 18182 computations (52.1% saved)

prune656.0ms (4%)

Pruning

46 alts after pruning (42 fresh and 4 done)

	Pruned	Kept	Total
New	1226	32	1258
Fresh	6	10	16
Picked	1	0	1
Done	1	4	5
Total	1234	46	1280

Error

0.7b

Counts

1280 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	29.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 2 F)) F) (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))) F))
▶	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F) F))
	39.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 F F) (/.f64 (.f64 F (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) F)) F))
	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	14.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
✓	10.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	6.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 2)))))))
	1.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) 1/9) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))))))))
	1.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))
	6.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (.f64 F (/.f64 (.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))))))
	23.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (tan.f64 (.f64 l (PI.f64)))))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
	42.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
	39.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 1 (.f64 F (+.f64 F F))) (/.f64 (/.f64 (.f64 F F) (+.f64 F F)) F))))) F))
	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	19.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
	50.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
	41.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (tan.f64 (.f64 (PI.f64) l)))))
	41.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
	18.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F F))) (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (neg.f64 (/.f64 2 F))))
	19.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
	21.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))
▶	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (.f64 (PI.f64) l)))))
	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))
	14.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64)))))))
✓	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
▶	1.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))))
	1.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 l 3) (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) 2) (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (/.f64 F (pow.f64 (PI.f64) 2)))) -1)) (.f64 -1 (.f64 (pow.f64 l 5) (+.f64 (/.f64 (.f64 F (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 4) 1/24)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))))))))) (pow.f64 (PI.f64) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) 2) (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (/.f64 F (pow.f64 (PI.f64) 2)))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (PI.f64)))) (.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (/.f64 F (pow.f64 (PI.f64) 3))))))))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2)))))))))
	6.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2))))))))
	1.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (/.f64 F (pow.f64 (PI.f64) 3)))))))) (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))))
	6.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (.f64 l (PI.f64)))))))
	14.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	10.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l)))))
	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
✓	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	44.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
▶	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
▶	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
	17.8b	(-.f64 (.f64 (PI.f64) l) (.f64 F (/.f64 4 (.f64 (/.f64 2 F) (.f64 2 (.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))))))

Compiler

Compiled 3398 to 2393 computations (29.6% saved)

localize1.5s (9.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(pow.f64 (PI.f64) 4)
✓	1.7b	(.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))
✓	3.0b	(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))
✓	4.5b	(.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))))

Compiler

Compiled 2478 to 1932 computations (22% saved)

series103.0ms (0.6%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
63.0ms	F	@	0	(.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))
6.0ms	F	@	0	(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))
5.0ms	l	@	inf	(.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))
3.0ms	l	@	inf	(.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))))
3.0ms	F	@	-inf	(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))

rewrite137.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1846×	`rational.json-1`
1846×	`rational.json-2`
1846×	`rational.json-4`
1846×	`rational.json-3`
1232×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	1264
1	513	1246
2	1059	1226
3	2778	1066
4	6500	1066

Stop Event

1×	node limit

Counts

4 → 34

Calls

Call 1

Inputs
(.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))
(.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))
(pow.f64 (PI.f64) 4)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 l 3) (.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (+.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 4) (.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (*.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) 1)))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (PI.f64) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (PI.f64) 4) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (PI.f64) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (PI.f64) 2) 4) 1/16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (PI.f64) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (pow.f64 (PI.f64) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (PI.f64) 4) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 4) (.f64 (pow.f64 (PI.f64) 4) 4)) 8)))))

simplify440.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1208×	`rational.json-simplify-2`
852×	`rational.json-simplify-41`
750×	`rational.json-simplify-46`
610×	`rational.json-simplify-51`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	268	23796
1	629	20692
2	1201	18620
3	2368	17600
4	4682	16036
5	6109	15972
6	7198	15920
7	7897	15888

Stop Event

1×	node limit

Counts

94 → 142

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (pow.f64 l 3) (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 (pow.f64 l 3) (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 (pow.f64 l 3) (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 (pow.f64 l 3) (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 l 3) F))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 l 3) F))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 l 3) F))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 (pow.f64 l 3) F))
(.f64 F (.f64 (pow.f64 l 3) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 F (.f64 (pow.f64 l 3) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 F (.f64 (pow.f64 l 3) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
(.f64 F (.f64 (pow.f64 l 3) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 1/24 (pow.f64 (PI.f64) 3)))))))
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(/.f64 (.f64 2 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 F (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 4) 1/72)) (+.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (.f64 (pow.f64 (PI.f64) 2) -1/2)) (.f64 (pow.f64 (PI.f64) 7) -1/840)))) (pow.f64 (PI.f64) 2))) (.f64 (.f64 F (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 3))) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (PI.f64)))) (.f64 (pow.f64 (PI.f64) 3) -1/3))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) l)))))))))) 2)
(/.f64 (.f64 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 F (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 4) 1/72)) (+.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (.f64 (pow.f64 (PI.f64) 2) -1/2)) (.f64 (pow.f64 (PI.f64) 7) -1/840)))) (pow.f64 (PI.f64) 2))) (.f64 (.f64 F (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 3))) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (PI.f64)))) (.f64 (pow.f64 (PI.f64) 3) -1/3))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) l))))))))) 4) 4)
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(pow.f64 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 (+.f64 (.f64 F (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 (PI.f64) 4) 1/72)) (+.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (.f64 (pow.f64 (PI.f64) 2) -1/2)) (.f64 (pow.f64 (PI.f64) 7) -1/840)))) (pow.f64 (PI.f64) 2))) (.f64 (.f64 F (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 3))) (/.f64 (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (PI.f64)))) (.f64 (pow.f64 (PI.f64) 3) -1/3))) (pow.f64 l 5)) (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))) (.f64 (pow.f64 (PI.f64) 5) 1/30))) (pow.f64 (PI.f64) 2)) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) l))))))))) 1)
(+.f64 (pow.f64 (PI.f64) 4) 0)
(+.f64 0 (pow.f64 (PI.f64) 4))
(-.f64 (pow.f64 (PI.f64) 4) 0)
(*.f64 (pow.f64 (PI.f64) 4) 1)
(*.f64 1 (pow.f64 (PI.f64) 4))
(.f64 (pow.f64 (.f64 (PI.f64) 2) 4) 1/16)
(/.f64 (pow.f64 (PI.f64) 4) 1)
(/.f64 (*.f64 2 (pow.f64 (PI.f64) 4)) 2)
(/.f64 (*.f64 (pow.f64 (PI.f64) 4) 4) 4)
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 4) (.f64 (pow.f64 (PI.f64) 4) 4)) 8)

Outputs
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/9) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/6)))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/18))) (*.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/72)) (.f64 F (pow.f64 l 3)))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/45) (*.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/9) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/6)))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/18))) (*.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/72)) (.f64 F (pow.f64 l 3)))
(.f64 (.f64 (pow.f64 (PI.f64) 3) 1/45) (*.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/9 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/9) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/6)))) (.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) 1/24) (.f64 (pow.f64 (PI.f64) 3) -1/18))) (*.f64 F (pow.f64 l 3)))
(.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/72)) (.f64 F (pow.f64 l 3)))
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(.f64 F (+.f64 (/.f64 F (.f64 (PI.f64) l)) (neg.f64 (+.f64 (.f64 F (.f64 (pow.f64 l 3) (+.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)))) (+.f64 (.f64 (pow.f64 l 5) (.f64 F (+.f64 (/.f64 (+.f64 (.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (.f64 (pow.f64 (PI.f64) 2) 1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/72 (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (PI.f64) 7) -1/840))) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 3) (+.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 3))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 -1/6 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (PI.f64)))))))) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) l)))))))))
(.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 (.f64 F (pow.f64 l 3)) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/6 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9))) (+.f64 (.f64 (pow.f64 l 5) (.f64 F (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 2) (.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/6 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) 1/2)) (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 1/72 (pow.f64 (PI.f64) 4))) (.f64 (pow.f64 (PI.f64) 7) -1/840))) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 3) (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/6 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 3))) (/.f64 (+.f64 (/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 -1/6 (pow.f64 (PI.f64) 2))) (.f64 (pow.f64 (PI.f64) 5) 1/30)) (neg.f64 (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)) -1/9)) (PI.f64)))))))) (.f64 (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) l)) (.f64 (pow.f64 (PI.f64) 3) 1/3)))))))
(+.f64 (pow.f64 (PI.f64) 4) 0)
(pow.f64 (PI.f64) 4)
(+.f64 0 (pow.f64 (PI.f64) 4))
(pow.f64 (PI.f64) 4)
(-.f64 (pow.f64 (PI.f64) 4) 0)
(pow.f64 (PI.f64) 4)
(*.f64 (pow.f64 (PI.f64) 4) 1)
(pow.f64 (PI.f64) 4)
(*.f64 1 (pow.f64 (PI.f64) 4))
(pow.f64 (PI.f64) 4)
(.f64 (pow.f64 (.f64 (PI.f64) 2) 4) 1/16)
(pow.f64 (PI.f64) 4)
(/.f64 (pow.f64 (PI.f64) 4) 1)
(pow.f64 (PI.f64) 4)
(/.f64 (*.f64 2 (pow.f64 (PI.f64) 4)) 2)
(pow.f64 (PI.f64) 4)
(/.f64 (*.f64 (pow.f64 (PI.f64) 4) 4) 4)
(pow.f64 (PI.f64) 4)
(/.f64 (+.f64 (.f64 (pow.f64 (PI.f64) 4) 4) (.f64 (pow.f64 (PI.f64) 4) 4)) 8)
(pow.f64 (PI.f64) 4)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
	0.3b	(*.f64 (PI.f64) l)
✓	0.8b	(/.f64 (PI.f64) (*.f64 F F))
✓	11.5b	(.f64 l (/.f64 (PI.f64) (.f64 F F)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series2.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(.f64 l (/.f64 (PI.f64) (.f64 F F)))
0.0ms	F	@	0	(/.f64 (PI.f64) (*.f64 F F))
0.0ms	F	@	inf	(.f64 l (/.f64 (PI.f64) (.f64 F F)))
0.0ms	l	@	-inf	(.f64 l (/.f64 (PI.f64) (.f64 F F)))
0.0ms	l	@	-inf	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))

rewrite99.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2324×	`rational.json-1`
1162×	`exponential.json-3`
1162×	`rational.json-2`
1162×	`rational.json-4`
1162×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	11	71
1	77	65
2	203	65
3	639	65
4	2755	63
5	7808	63

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l (*.f64 F (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (PI.f64) (/.f64 (*.f64 F F) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F F) (/.f64 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 F (/.f64 F (PI.f64))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) 2) (/.f64 (*.f64 F (+.f64 F F)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) F) (/.f64 F l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 (/.f64 F (/.f64 (PI.f64) (+.f64 F F))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 2 (*.f64 F F))) (/.f64 2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (/.f64 2 F)) (/.f64 (+.f64 F F) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 2 (/.f64 l (*.f64 F F)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 l l) (/.f64 F (/.f64 (PI.f64) (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 F) (/.f64 (/.f64 F (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 l 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l 4) (*.f64 (*.f64 F (/.f64 F (PI.f64))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l (*.f64 F F)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (PI.f64) (*.f64 F F)) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 l 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l 4) (*.f64 F (/.f64 F (PI.f64)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l F) (/.f64 F (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 l (fabs.f64 F)) (/.f64 (fabs.f64 F) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) (neg.f64 (*.f64 F (/.f64 F (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 l l)) (-.f64 0 (/.f64 F (/.f64 (PI.f64) (+.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 l (*.f64 F F))) (-.f64 0 (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 l F)) (neg.f64 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (/.f64 l (fabs.f64 F))) (-.f64 0 (/.f64 (fabs.f64 F) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (neg.f64 l)) (*.f64 F (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (PI.f64) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (PI.f64) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 F (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F F) (/.f64 1 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (PI.f64) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (/.f64 1/2 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 1 (*.f64 F F)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (PI.f64) (*.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 (PI.f64) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 F F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 F) (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 2 (*.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 4) (/.f64 1 (*.f64 F (*.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 2 F)) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 -1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (PI.f64) (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F 1/2) (/.f64 (+.f64 F F) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (PI.f64) (/.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (*.f64 (PI.f64) (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 F F)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 F F)) 1/2) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) (/.f64 1/2 F)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 F F))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) (*.f64 F (+.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))) (*.f64 F 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 F) (/.f64 (*.f64 F (*.f64 F (*.f64 F F))) (PI.f64))) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) (*.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (*.f64 F 4))) (*.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 (PI.f64) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (PI.f64) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)))))))

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

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1712×	`rational.json-simplify-35`
1438×	`rational.json-simplify-44`
1328×	`rational.json-simplify-47`
1272×	`rational.json-simplify-61`
966×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	4026
1	655	3930
2	1911	3800
3	7310	3756

Stop Event

1×	node limit

Counts

166 → 145

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(/.f64 (PI.f64) (pow.f64 F 2))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (.f64 (-.f64 (.f64 -1 (PI.f64)) (.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))) l))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 0)
(+.f64 0 (.f64 (PI.f64) (/.f64 l (.f64 F F))))
(-.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 0)
(/.f64 l (*.f64 F (/.f64 F (PI.f64))))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(/.f64 (.f64 F F) (/.f64 (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64)) l))
(/.f64 (/.f64 (PI.f64) (*.f64 F F)) (/.f64 1 l))
(/.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 1)
(/.f64 1 (/.f64 (*.f64 F (/.f64 F (PI.f64))) l))
(/.f64 (.f64 (PI.f64) 2) (/.f64 (.f64 F (+.f64 F F)) l))
(/.f64 (/.f64 (PI.f64) F) (/.f64 F l))
(/.f64 2 (/.f64 (/.f64 F (/.f64 (PI.f64) (+.f64 F F))) l))
(/.f64 (.f64 (PI.f64) (/.f64 2 (.f64 F F))) (/.f64 2 l))
(/.f64 (*.f64 (PI.f64) (/.f64 2 F)) (/.f64 (+.f64 F F) l))
(/.f64 (.f64 (PI.f64) (.f64 2 (/.f64 l (*.f64 F F)))) 2)
(/.f64 (+.f64 l l) (/.f64 F (/.f64 (PI.f64) (+.f64 F F))))
(/.f64 (/.f64 1 F) (/.f64 (/.f64 F (PI.f64)) l))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) (neg.f64 l)))
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F (neg.f64 l)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) (*.f64 l 4)) 4)
(/.f64 (.f64 l 4) (.f64 (*.f64 F (/.f64 F (PI.f64))) 4))
(/.f64 (/.f64 l (*.f64 F F)) (/.f64 1 (PI.f64)))
(/.f64 (.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F (.f64 F (*.f64 F F))) l))
(/.f64 (.f64 2 (.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 l 4))) 8)
(/.f64 (/.f64 (.f64 l 4) (.f64 F (/.f64 F (PI.f64)))) 4)
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(/.f64 (/.f64 l (fabs.f64 F)) (/.f64 (fabs.f64 F) (PI.f64)))
(/.f64 (neg.f64 l) (neg.f64 (*.f64 F (/.f64 F (PI.f64)))))
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Outputs
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(/.f64 (+.f64 l l) (/.f64 F (/.f64 (PI.f64) (+.f64 F F))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 1 F) (/.f64 (/.f64 F (PI.f64)) l))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) (neg.f64 l)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 F (neg.f64 l)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 (/.f64 (PI.f64) (.f64 F F)) (*.f64 l 4)) 4)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 l 4) (.f64 (*.f64 F (/.f64 F (PI.f64))) 4))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 l (*.f64 F F)) (/.f64 1 (PI.f64)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 (PI.f64) (.f64 F F)) (/.f64 (.f64 F (.f64 F (*.f64 F F))) l))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 2 (.f64 (/.f64 (PI.f64) (.f64 F F)) (.f64 l 4))) 8)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l 4) (.f64 F (/.f64 F (PI.f64)))) 4)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 l F) (/.f64 F (PI.f64)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 l (fabs.f64 F)) (/.f64 (fabs.f64 F) (PI.f64)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 l) (neg.f64 (*.f64 F (/.f64 F (PI.f64)))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (+.f64 l l)) (-.f64 0 (/.f64 F (/.f64 (PI.f64) (+.f64 F F)))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (/.f64 l (*.f64 F F))) (-.f64 0 (/.f64 1 (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (/.f64 l F)) (neg.f64 (/.f64 F (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (/.f64 l (fabs.f64 F))) (-.f64 0 (/.f64 (fabs.f64 F) (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (neg.f64 l)) (*.f64 F (/.f64 F (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(pow.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F))) 1)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (/.f64 (PI.f64) (*.f64 F F)) 0)
(/.f64 (PI.f64) (*.f64 F F))
(+.f64 0 (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(-.f64 (/.f64 (PI.f64) (*.f64 F F)) 0)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (PI.f64) (/.f64 1 (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 F (/.f64 F (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 F F) (/.f64 1 (/.f64 (.f64 F (.f64 F (*.f64 F F))) (PI.f64))))
(.f64 F (.f64 F (/.f64 (PI.f64) (/.f64 (.f64 F (.f64 F (*.f64 F F))) 1))))
(.f64 F (.f64 F (/.f64 (PI.f64) (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (.f64 F F) (/.f64 (PI.f64) (.f64 (.f64 F F) (*.f64 F F))))
(.f64 (/.f64 (PI.f64) (.f64 F F)) 1)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 1 (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 (PI.f64) 2) (/.f64 1/2 (*.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 (PI.f64) 2) (.f64 (/.f64 1 (.f64 F F)) 1/2))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (PI.f64) (.f64 2 (*.f64 (/.f64 1 F) (/.f64 1/2 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 2 (/.f64 1/2 F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (PI.f64) (.f64 2 (*.f64 (/.f64 1 F) (/.f64 1/2 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 2 (/.f64 1/2 F)))
(.f64 2 (/.f64 (PI.f64) (.f64 F (+.f64 F F))))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 2 (/.f64 (/.f64 (PI.f64) (.f64 F F)) 2))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 F F)) (PI.f64)))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 2 (.f64 (/.f64 1/2 F) (/.f64 (PI.f64) F)))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (PI.f64) (.f64 2 (*.f64 (/.f64 1 F) (/.f64 1/2 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 2 (/.f64 1/2 F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(.f64 (.f64 (PI.f64) (/.f64 2 (*.f64 F F))) 1/2)
(.f64 (PI.f64) (.f64 (/.f64 2 (*.f64 F F)) 1/2))
(.f64 (PI.f64) (.f64 (/.f64 (/.f64 2 F) F) 1/2))
(.f64 (.f64 (PI.f64) 4) (/.f64 1 (.f64 F (.f64 F 4))))
(.f64 (PI.f64) (.f64 4 (/.f64 (/.f64 1 F) (*.f64 F 4))))
(.f64 (PI.f64) (.f64 4 (/.f64 (/.f64 1/4 F) F)))
(.f64 (.f64 (PI.f64) (/.f64 2 F)) (/.f64 1/2 F))
(.f64 (PI.f64) (.f64 (/.f64 2 F) (/.f64 1/2 F)))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) (PI.f64))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (/.f64 1 F) (/.f64 (PI.f64) F))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (PI.f64) (.f64 2 (*.f64 (/.f64 1 F) (/.f64 1/2 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 2 (/.f64 1/2 F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(.f64 (neg.f64 (PI.f64)) (/.f64 -1 (.f64 F F)))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (/.f64 (PI.f64) (neg.f64 F)) (/.f64 -1 F))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 -1 (/.f64 (PI.f64) (neg.f64 (.f64 F F))))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 -1 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (/.f64 (.f64 F (.f64 F (*.f64 F F))) (PI.f64))))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F (*.f64 F F)) (/.f64 F (PI.f64)))))
(.f64 (.f64 F 1/2) (/.f64 (PI.f64) (/.f64 (.f64 (.f64 F F) (*.f64 F F)) (+.f64 F F))))
(.f64 F (.f64 1/2 (/.f64 (.f64 (PI.f64) (/.f64 2 F)) (.f64 F (*.f64 F (/.f64 F F))))))
(.f64 1/2 (.f64 (PI.f64) (/.f64 2 (*.f64 F F))))
(.f64 (PI.f64) (.f64 (/.f64 2 (*.f64 F F)) 1/2))
(.f64 (PI.f64) (.f64 (/.f64 (/.f64 2 F) F) 1/2))
(.f64 (/.f64 1/2 F) (.f64 (PI.f64) (/.f64 2 F)))
(.f64 (PI.f64) (.f64 (/.f64 2 F) (/.f64 1/2 F)))
(.f64 (/.f64 1/2 (.f64 F F)) (*.f64 (PI.f64) 2))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 (/.f64 1 (.f64 F F)) 1/2) (.f64 (PI.f64) 2))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (.f64 (/.f64 1 F) (/.f64 1/2 F)) (*.f64 (PI.f64) 2))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (PI.f64) (.f64 2 (*.f64 (/.f64 1 F) (/.f64 1/2 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 2 (/.f64 1/2 F)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 1 F))
(.f64 (/.f64 1 (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))) (*.f64 F F))
(.f64 F (.f64 F (/.f64 (PI.f64) (/.f64 (.f64 F (.f64 F (*.f64 F F))) 1))))
(.f64 F (.f64 F (/.f64 (PI.f64) (.f64 (.f64 F F) (*.f64 F F)))))
(.f64 (.f64 F F) (/.f64 (PI.f64) (.f64 (.f64 F F) (*.f64 F F))))
(.f64 (/.f64 (PI.f64) (neg.f64 (.f64 F F))) -1)
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)) -1)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 (PI.f64) (.f64 F (+.f64 F F))) 2)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 F (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))) F)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 (+.f64 F F) (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))) (*.f64 F 1/2))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F (*.f64 F F)) (/.f64 F (PI.f64)))))
(.f64 (.f64 F 1/2) (/.f64 (PI.f64) (/.f64 (.f64 (.f64 F F) (*.f64 F F)) (+.f64 F F))))
(.f64 F (.f64 1/2 (/.f64 (.f64 (PI.f64) (/.f64 2 F)) (.f64 F (*.f64 F (/.f64 F F))))))
(.f64 (/.f64 (fabs.f64 F) (/.f64 (.f64 F (.f64 F (.f64 F F))) (PI.f64))) (fabs.f64 F))
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 (/.f64 (PI.f64) (.f64 F F)) 2) 2)
(/.f64 (PI.f64) (*.f64 F F))
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 (PI.f64) 4))
(.f64 (.f64 (PI.f64) 4) (/.f64 1 (.f64 F (.f64 F 4))))
(.f64 (PI.f64) (.f64 4 (/.f64 (/.f64 1 F) (*.f64 F 4))))
(.f64 (PI.f64) (.f64 4 (/.f64 (/.f64 1/4 F) F)))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (/.f64 -1 F) (/.f64 (PI.f64) (neg.f64 F)))
(/.f64 (PI.f64) (*.f64 F F))
(*.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 (PI.f64) F))
(*.f64 (/.f64 (PI.f64) F) (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)))
(.f64 (/.f64 (PI.f64) F) (/.f64 F (.f64 F F)))
(pow.f64 (/.f64 (PI.f64) (*.f64 F F)) 1)
(/.f64 (PI.f64) (*.f64 F F))
(neg.f64 (/.f64 (PI.f64) (neg.f64 (*.f64 F F))))
(/.f64 (PI.f64) (*.f64 F F))
(neg.f64 (/.f64 (/.f64 (PI.f64) F) (neg.f64 F)))
(/.f64 (PI.f64) (*.f64 F F))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) (/.f64 (/.f64 l F) (neg.f64 F))))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(+.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 0)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 0 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(+.f64 (neg.f64 (.f64 (PI.f64) (/.f64 l (.f64 F F)))) (*.f64 l (PI.f64)))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) (/.f64 (/.f64 l F) (neg.f64 F))))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(+.f64 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 1 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 2 (/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) 2))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 2) 1/2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F F)) l)) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 -1 (.f64 (PI.f64) (-.f64 (/.f64 l (*.f64 F F)) l)))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(.f64 1/2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 2))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) 2) 2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) 2) 2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l)) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) 4) 4)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 4)) 8)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(neg.f64 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l)))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
	0.3b	(*.f64 (PI.f64) l)
	0.7b	(/.f64 1 (*.f64 F F))
✓	11.5b	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))

Compiler

Compiled 73 to 35 computations (52.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	F	@	0	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))
0.0ms	F	@	inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))
0.0ms	F	@	-inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))
0.0ms	l	@	0	(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))

rewrite75.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`exponential.json-3`
1562×	`rational.json-1`
1562×	`rational.json-2`
1562×	`rational.json-4`
1562×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	109	33
2	283	33
3	937	21
4	5026	21

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (*.f64 l (PI.f64)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (/.f64 0 F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (/.f64 0 (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (PI.f64)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 l l) (/.f64 (PI.f64) (*.f64 F F))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (*.f64 (PI.f64) 2)) (*.f64 F (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 l (PI.f64)) 4) (*.f64 4 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 F (*.f64 l (PI.f64))) (*.f64 F (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 l (/.f64 (PI.f64) F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) (*.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 l (PI.f64)) 4) (*.f64 F F)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (+.f64 F F)) (*.f64 F 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (+.f64 F F)) (/.f64 (*.f64 F F) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (*.f64 F (+.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (fabs.f64 F)) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (/.f64 2 F)) (/.f64 (*.f64 F F) (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (/.f64 -1 F)) (/.f64 (*.f64 F F) (/.f64 -1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (PI.f64)) (neg.f64 F)) (/.f64 (*.f64 F F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (/.f64 1 F)) F)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (+.f64 F F)) (/.f64 1 (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (/.f64 2 F)) (/.f64 1 (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (/.f64 -1 F)) (/.f64 1 (/.f64 -1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) (neg.f64 F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))) 1)))))

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1718×	`rational.json-simplify-51`
1552×	`rational.json-simplify-35`
1474×	`rational.json-simplify-49`
958×	`rational.json-simplify-46`
530×	`rational.json-simplify-54`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	1134
1	376	1134
2	1441	1134
3	4835	1134

Stop Event

1×	node limit

Counts

54 → 33

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 0 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 0 F))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 0 (/.f64 1 F)))
(-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(/.f64 (.f64 (+.f64 l l) (/.f64 (PI.f64) (.f64 F F))) 2)
(/.f64 (.f64 l (.f64 (PI.f64) 2)) (*.f64 F (+.f64 F F)))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)
(/.f64 (.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) 4)
(/.f64 (.f64 (.f64 l (PI.f64)) 4) (.f64 4 (.f64 F F)))
(/.f64 (.f64 F (.f64 l (PI.f64))) (.f64 F (.f64 F F)))
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
(/.f64 (+.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4)) 8)
(/.f64 (/.f64 (.f64 (.f64 l (PI.f64)) 4) (*.f64 F F)) 4)
(/.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F)) (.f64 F 1/2))
(/.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F)) (/.f64 (.f64 F F) (+.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F (+.f64 F F))) 1/2)
(/.f64 (/.f64 (*.f64 l (PI.f64)) (fabs.f64 F)) (fabs.f64 F))
(/.f64 (neg.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (/.f64 2 F)) (/.f64 (.f64 F F) (/.f64 2 F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (/.f64 -1 F)) (/.f64 (.f64 F F) (/.f64 -1 F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (/.f64 (.f64 F F) (neg.f64 F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 1 F))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 1 F)) F)
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (+.f64 F F)) (/.f64 1 (+.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 2 F)) (/.f64 1 (/.f64 2 F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 -1 F)) (/.f64 1 (/.f64 -1 F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (neg.f64 F)) (/.f64 -1 F))
(pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)

Outputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(+.f64 0 (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 0 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 0 (/.f64 1 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(-.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 0)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 l (PI.f64)) (.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 (+.f64 l l) (/.f64 (PI.f64) (.f64 F F))) 2)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 l (.f64 (PI.f64) 2)) (*.f64 F (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 (.f64 l (/.f64 (PI.f64) (*.f64 F F))) 4) 4)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 (.f64 l (PI.f64)) 4) (.f64 4 (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (.f64 F (.f64 l (PI.f64))) (.f64 F (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (*.f64 l (/.f64 (PI.f64) F)) F)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (+.f64 (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4) (.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 4)) 8)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 (.f64 l (PI.f64)) 4) (*.f64 F F)) 4)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F)) (.f64 F 1/2))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (+.f64 F F)) (/.f64 (.f64 F F) (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 F (+.f64 F F))) 1/2)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (*.f64 l (PI.f64)) (fabs.f64 F)) (fabs.f64 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (neg.f64 (.f64 l (PI.f64))) (neg.f64 (.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (/.f64 2 F)) (/.f64 (.f64 F F) (/.f64 2 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (/.f64 -1 F)) (/.f64 (.f64 F F) (/.f64 -1 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (/.f64 (.f64 F F) (neg.f64 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) F) (/.f64 1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 1 F)) F)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (+.f64 F F)) (/.f64 1 (+.f64 F F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 2 F)) (/.f64 1 (/.f64 2 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (/.f64 -1 F)) (/.f64 1 (/.f64 -1 F)))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.f64 (/.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) (neg.f64 F)) (/.f64 -1 F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(pow.f64 (.f64 l (/.f64 (PI.f64) (.f64 F F))) 1)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.8b	(/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l))))
✓	4.5b	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
	30.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 59 to 23 computations (61% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	inf	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	l	@	-inf	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
1.0ms	F	@	0	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
0.0ms	F	@	inf	(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1954×	`rational.json-1`
1954×	`rational.json-2`
1954×	`rational.json-4`
1954×	`rational.json-3`
866×	`rational.json-simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	68
1	102	56
2	284	56
3	940	56
4	4978	56

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l)))
(/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (*.f64 (PI.f64) l))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 F (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F F) (/.f64 1 (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1/4 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (*.f64 F 4)) (/.f64 1/4 (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (/.f64 1/2 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (/.f64 1/2 (*.f64 F F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2) (*.f64 1/2 (/.f64 1 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1/2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (+.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1/4 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 F F) 1/4) (/.f64 4 (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 F (*.f64 F 4)) (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) (/.f64 1 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 (*.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1/4 (*.f64 F F))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/4 (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 F F)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F 1/4) (/.f64 (*.f64 F 4) (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F (/.f64 F 8)) (/.f64 8 (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (/.f64 (*.f64 F (*.f64 F 8)) (/.f64 (*.f64 (*.f64 F F) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 F) (fabs.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))))

simplify123.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1630×	`rational.json-simplify-51`
1126×	`rational.json-simplify-2`
1002×	`rational.json-simplify-57`
910×	`rational.json-simplify-49`
840×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	311	7035
1	749	6561
2	1698	6521
3	5419	6489

Stop Event

1×	node limit

Counts

141 → 160

Calls

Call 1

Inputs
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
(.f64 4 (/.f64 (pow.f64 F 2) (.f64 l (PI.f64))))
(+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 F 2) (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (.f64 4 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))))
(+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 F 2) (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -4 (.f64 (pow.f64 l 3) (+.f64 (/.f64 (.f64 (pow.f64 F 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 F 2) (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3)))))) (.f64 4 (/.f64 (pow.f64 F 2) (.f64 l (PI.f64))))))
(+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 F 2) (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (.f64 -4 (.f64 (pow.f64 l 3) (+.f64 (/.f64 (.f64 (pow.f64 F 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 F 2) (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 -4 (.f64 (pow.f64 l 5) (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2))) (.f64 -1/720 (pow.f64 (PI.f64) 7))))) (pow.f64 F 2)) (pow.f64 (PI.f64) 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (+.f64 (/.f64 (.f64 (pow.f64 F 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)) (.f64 -1 (/.f64 (.f64 (pow.f64 F 2) (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))))) (PI.f64))) (.f64 -1 (/.f64 (.f64 (pow.f64 F 2) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))))) (pow.f64 (PI.f64) 3))))))) (.f64 4 (/.f64 (pow.f64 F 2) (*.f64 l (PI.f64)))))))
(.f64 4 (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2)) (sin.f64 (.f64 l (PI.f64)))))
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Outputs
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(.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 (/.f64 (/.f64 -1 F) F)))
(.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/4 (.f64 F F))) 4)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (/.f64 1/4 (.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1/4))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 (.f64 F F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (/.f64 2 (.f64 F F)) 1/2))
(.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 1/2 (/.f64 2 (.f64 F F))))
(.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 1/2 (/.f64 (/.f64 2 F) F)))
(.f64 (/.f64 1/2 (.f64 F F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (.f64 F 1/4) (/.f64 (.f64 F 4) (/.f64 (.f64 (.f64 F F) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (.f64 F (/.f64 F 8)) (/.f64 8 (/.f64 (.f64 (.f64 F F) (.f64 F F)) (tan.f64 (.f64 (PI.f64) l)))))
(.f64 (.f64 F (/.f64 F 8)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 (.f64 (.f64 F F) (.f64 F F)) 8)))
(.f64 F (.f64 (/.f64 F 8) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (/.f64 (.f64 F F) 8)))))
(.f64 F (.f64 (.f64 F 1/8) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (/.f64 (.f64 F (*.f64 F F)) 8)))))
(.f64 (.f64 F 1/8) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 F (.f64 F F)) (/.f64 F (*.f64 F 8)))))
(.f64 1/8 (/.f64 (.f64 F (.f64 F 8)) (/.f64 (.f64 (.f64 F F) (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))))
(.f64 1/8 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 (.f64 (.f64 F F) (.f64 F F)) (.f64 F (*.f64 F 8)))))
(.f64 (.f64 F 8) (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 (.f64 F F) (/.f64 (*.f64 F F) F))) 1/8))
(.f64 1/8 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 F 1/8))))
(.f64 (/.f64 (fabs.f64 F) (fabs.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 1)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))
	0.3b	(*.f64 (PI.f64) l)
✓	29.9b	(sin.f64 (*.f64 l (PI.f64)))
✓	30.3b	(cos.f64 (*.f64 l (PI.f64)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series1.0ms (0%)

Counts

2 → 8

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(cos.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	0	(sin.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	inf	(cos.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(cos.f64 (*.f64 l (PI.f64)))
0.0ms	l	@	-inf	(sin.f64 (*.f64 l (PI.f64)))

rewrite78.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational.json-simplify-35`
1134×	`exponential.json-3`
1134×	`rational.json-1`
1134×	`rational.json-2`
1134×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	26
1	61	26
2	143	26
3	325	26
4	729	26
5	1917	26
6	4750	26

Stop Event

1×	node limit

Counts

2 → 67

Calls

Call 1

Inputs
(cos.f64 (*.f64 l (PI.f64)))
(sin.f64 (*.f64 l (PI.f64)))

Outputs

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

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

simplify219.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1980×	`rational.json-simplify-2`
1804×	`rational.json-simplify-35`
836×	`rational.json-simplify-52`
728×	`rational.json-simplify-26`
710×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	165	1257
1	330	1257
2	764	1257
3	2149	1257
4	3552	1257
5	4176	1257
6	5251	1257
7	6453	1257
8	6852	1257
9	7184	1257

Stop Event

1×	node limit

Counts

75 → 95

Calls

Call 1

Inputs
1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(*.f64 l (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (cos.f64 (*.f64 l (PI.f64))) 0)
(+.f64 0 (cos.f64 (*.f64 l (PI.f64))))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(+.f64 -1 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1)))))
(+.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 1/2) (.f64 (cos.f64 (.f64 l (PI.f64))) 1/2))
(+.f64 (-.f64 1 (neg.f64 (cos.f64 (*.f64 l (PI.f64))))) -1)
(-.f64 (cos.f64 (*.f64 l (PI.f64))) 0)
(-.f64 0 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(-.f64 0 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))))
(.f64 (cos.f64 (.f64 l (PI.f64))) 1)
(.f64 1 (cos.f64 (.f64 l (PI.f64))))
(.f64 2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 1/2))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 2) 1/2)
(.f64 4 (/.f64 (cos.f64 (.f64 l (PI.f64))) 4))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 4) 1/4)
(.f64 1/2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(.f64 1/4 (.f64 (cos.f64 (*.f64 l (PI.f64))) 4))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 1/2) 2)
(.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) 4) 4)
(.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) -1)
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 l 1))) -1)
(/.f64 (cos.f64 (*.f64 l (PI.f64))) 1)
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 2) 2)
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 4) 4)
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 8) 8)
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 8)) 16)
(/.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) -1)
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8))) 32)
(/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))) -1)
(/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (cos.f64 (.f64 l (PI.f64))))) -2)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8)))) 64)
(pow.f64 (cos.f64 (*.f64 l (PI.f64))) 1)
(neg.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(neg.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))))
(+.f64 (sin.f64 (*.f64 l (PI.f64))) 0)
(+.f64 0 (sin.f64 (*.f64 l (PI.f64))))
(+.f64 -1 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))))
(+.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2) (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2))
(+.f64 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))) -1)
(-.f64 (sin.f64 (*.f64 l (PI.f64))) 0)
(-.f64 0 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))))
(-.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2) (/.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))) 2))
(-.f64 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))) 1)
(.f64 (sin.f64 (.f64 l (PI.f64))) 1)
(.f64 1 (sin.f64 (.f64 l (PI.f64))))
(.f64 -1 (sin.f64 (.f64 l (neg.f64 (PI.f64)))))
(.f64 2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 1/2))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 2) 1/2)
(.f64 4 (/.f64 (sin.f64 (.f64 l (PI.f64))) 4))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 4) 1/4)
(.f64 1/2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 2))
(.f64 1/4 (.f64 (sin.f64 (*.f64 l (PI.f64))) 4))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 1/2) 2)
(.f64 (sin.f64 (.f64 l (neg.f64 (PI.f64)))) -1)
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) 4) 4)
(/.f64 (sin.f64 (*.f64 l (PI.f64))) 1)
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 2) 2)
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 4) 4)
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 8) 8)
(/.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))) -1)
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 8)) 16)
(/.f64 (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64))))) -2)
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8))) 32)
(/.f64 (+.f64 (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64))))) (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64)))))) -4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8)))) 64)
(pow.f64 (sin.f64 (*.f64 l (PI.f64))) 1)
(neg.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))))

Outputs
1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(+.f64 1 (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4)) (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2)) (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 1 (+.f64 (+.f64 (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4)) (.f64 -1/720 (pow.f64 (.f64 l (PI.f64)) 6))) (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2))))
(+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2)) (+.f64 (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4)) (.f64 -1/720 (pow.f64 (.f64 l (PI.f64)) 6)))))
(+.f64 1 (+.f64 (.f64 -1/720 (pow.f64 (.f64 l (PI.f64)) 6)) (+.f64 (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2)) (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4)))))
(+.f64 (.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4)) (+.f64 1 (+.f64 (.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2)) (.f64 -1/720 (pow.f64 (.f64 l (PI.f64)) 6)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1/6 (pow.f64 (*.f64 l (PI.f64)) 3)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 1/120 (pow.f64 (.f64 l (PI.f64)) 5)) (.f64 -1/6 (pow.f64 (*.f64 l (PI.f64)) 3))))
(+.f64 (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (pow.f64 (*.f64 l (PI.f64)) 5))))
(+.f64 (+.f64 (.f64 l (PI.f64)) (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3))) (.f64 1/120 (pow.f64 (*.f64 l (PI.f64)) 5)))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3)) (.f64 1/120 (pow.f64 (*.f64 l (PI.f64)) 5))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (+.f64 (.f64 1/120 (pow.f64 (.f64 l (PI.f64)) 5)) (.f64 -1/5040 (pow.f64 (.f64 l (PI.f64)) 7))) (.f64 -1/6 (pow.f64 (*.f64 l (PI.f64)) 3))))
(+.f64 (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 1/120 (pow.f64 (.f64 l (PI.f64)) 5)) (.f64 -1/5040 (pow.f64 (*.f64 l (PI.f64)) 7)))))
(+.f64 (+.f64 (.f64 l (PI.f64)) (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3))) (+.f64 (.f64 1/120 (pow.f64 (.f64 l (PI.f64)) 5)) (.f64 -1/5040 (pow.f64 (*.f64 l (PI.f64)) 7))))
(+.f64 (.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3)) (+.f64 (.f64 1/120 (pow.f64 (.f64 l (PI.f64)) 5)) (+.f64 (.f64 l (PI.f64)) (.f64 -1/5040 (pow.f64 (*.f64 l (PI.f64)) 7)))))
(+.f64 (cos.f64 (*.f64 l (PI.f64))) 0)
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 0 (cos.f64 (*.f64 l (PI.f64))))
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 -1 (-.f64 1 (neg.f64 (cos.f64 (*.f64 l (PI.f64))))))
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 -1 (-.f64 1 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1)))))
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 1/2) (.f64 (cos.f64 (.f64 l (PI.f64))) 1/2))
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 (-.f64 1 (neg.f64 (cos.f64 (*.f64 l (PI.f64))))) -1)
(cos.f64 (*.f64 l (PI.f64)))
(-.f64 (cos.f64 (*.f64 l (PI.f64))) 0)
(cos.f64 (*.f64 l (PI.f64)))
(-.f64 0 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(cos.f64 (*.f64 l (PI.f64)))
(-.f64 0 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (cos.f64 (.f64 l (PI.f64))) 1)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 1 (cos.f64 (.f64 l (PI.f64))))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 1/2))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 2) 1/2)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 4 (/.f64 (cos.f64 (.f64 l (PI.f64))) 4))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 4) 1/4)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 1/2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 2))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 1/4 (.f64 (cos.f64 (*.f64 l (PI.f64))) 4))
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (cos.f64 (*.f64 l (PI.f64))) 1/2) 2)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (/.f64 (cos.f64 (.f64 l (PI.f64))) 4) 4)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) -1)
(cos.f64 (*.f64 l (PI.f64)))
(.f64 (cos.f64 (.f64 (PI.f64) (+.f64 l 1))) -1)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (cos.f64 (*.f64 l (PI.f64))) 1)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 2) 2)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 4) 4)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) 8) 8)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 2 (.f64 (cos.f64 (*.f64 l (PI.f64))) 8)) 16)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))) -1)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8))) 32)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))) -1)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (+.f64 (neg.f64 (cos.f64 (.f64 l (PI.f64)))) (neg.f64 (cos.f64 (.f64 l (PI.f64))))) -2)
(cos.f64 (*.f64 l (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8))) (.f64 2 (.f64 2 (.f64 (cos.f64 (.f64 l (PI.f64))) 8)))) 64)
(cos.f64 (*.f64 l (PI.f64)))
(pow.f64 (cos.f64 (*.f64 l (PI.f64))) 1)
(cos.f64 (*.f64 l (PI.f64)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 l (PI.f64)))))
(cos.f64 (*.f64 l (PI.f64)))
(neg.f64 (cos.f64 (*.f64 (PI.f64) (+.f64 l 1))))
(cos.f64 (*.f64 l (PI.f64)))
(+.f64 (sin.f64 (*.f64 l (PI.f64))) 0)
(sin.f64 (*.f64 l (PI.f64)))
(+.f64 0 (sin.f64 (*.f64 l (PI.f64))))
(sin.f64 (*.f64 l (PI.f64)))
(+.f64 -1 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))))
(sin.f64 (*.f64 l (PI.f64)))
(+.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2) (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2))
(sin.f64 (*.f64 l (PI.f64)))
(+.f64 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))) -1)
(sin.f64 (*.f64 l (PI.f64)))
(-.f64 (sin.f64 (*.f64 l (PI.f64))) 0)
(sin.f64 (*.f64 l (PI.f64)))
(-.f64 0 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))))
(sin.f64 (*.f64 l (PI.f64)))
(-.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 1/2) (/.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))) 2))
(-.f64 (.f64 1/2 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))) 2))
(-.f64 (.f64 1/2 (sin.f64 (.f64 l (PI.f64)))) (/.f64 (neg.f64 (sin.f64 (*.f64 l (PI.f64)))) 2))
(-.f64 (-.f64 1 (sin.f64 (*.f64 l (neg.f64 (PI.f64))))) 1)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (sin.f64 (.f64 l (PI.f64))) 1)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 1 (sin.f64 (.f64 l (PI.f64))))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 -1 (sin.f64 (.f64 l (neg.f64 (PI.f64)))))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 1/2))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 2) 1/2)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 4 (/.f64 (sin.f64 (.f64 l (PI.f64))) 4))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 4) 1/4)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 1/2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 2))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 1/4 (.f64 (sin.f64 (*.f64 l (PI.f64))) 4))
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (.f64 (sin.f64 (*.f64 l (PI.f64))) 1/2) 2)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (sin.f64 (.f64 l (neg.f64 (PI.f64)))) -1)
(sin.f64 (*.f64 l (PI.f64)))
(.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) 4) 4)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) 1)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 2) 2)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 4) 4)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) 8) 8)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))) -1)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 2 (.f64 (sin.f64 (*.f64 l (PI.f64))) 8)) 16)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64))))) -2)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8))) 32)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (+.f64 (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64))))) (.f64 2 (sin.f64 (.f64 l (neg.f64 (PI.f64)))))) -4)
(sin.f64 (*.f64 l (PI.f64)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8))) (.f64 2 (.f64 2 (.f64 (sin.f64 (.f64 l (PI.f64))) 8)))) 64)
(sin.f64 (*.f64 l (PI.f64)))
(pow.f64 (sin.f64 (*.f64 l (PI.f64))) 1)
(sin.f64 (*.f64 l (PI.f64)))
(neg.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))))
(sin.f64 (*.f64 l (PI.f64)))

eval603.0ms (3.7%)

Compiler: Compiled 34823 to 22642 computations (35% saved)

prune167.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	733	9	742
Fresh	34	3	37
Picked	1	0	1
Done	7	1	8
Total	775	13	788

Error

0.3b

Counts

788 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	14.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
▶	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	19.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 4 (.f64 (/.f64 4 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
✓	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
▶	19.4b	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
▶	19.4b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
▶	19.2b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	14.7b	(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
▶	13.7b	(*.f64 l (PI.f64))
	55.0b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 332 to 214 computations (35.5% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 l (PI.f64))

Compiler

Compiled 7 to 4 computations (42.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 l (/.f64 l (*.f64 F F)))
✓	0.2b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
✓	12.0b	(/.f64 l (*.f64 F F))

Compiler

Compiled 29 to 7 computations (75.9% saved)

series4.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
0.0ms	l	@	0	(/.f64 l (*.f64 F F))
0.0ms	l	@	0	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
0.0ms	l	@	-inf	(/.f64 l (*.f64 F F))
0.0ms	l	@	-inf	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))

rewrite59.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1870×	`rational.json-simplify-35`
1084×	`exponential.json-3`
1084×	`rational.json-1`
1084×	`rational.json-2`
1084×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	59
1	70	59
2	190	59
3	595	59
4	2594	59

Stop Event

1×	node limit

Counts

3 → 85

Calls

Call 1

Inputs
(/.f64 l (*.f64 F F))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(-.f64 l (/.f64 l (*.f64 F F)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (*.f64 F F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 F (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F F) (/.f64 1 (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 F F)) (/.f64 (fabs.f64 F) (fabs.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 1/2 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 1 F) (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 1 (*.f64 F F)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 l (*.f64 (*.f64 F F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (/.f64 l (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 (*.f64 F F)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 F) (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (/.f64 2 (*.f64 F F))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 4) (/.f64 1 (*.f64 F (*.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (/.f64 2 F)) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F F)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 -1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) F) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (/.f64 (neg.f64 l) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 F F)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 l (/.f64 2 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 F 1/2) (/.f64 (+.f64 F F) (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (*.f64 l (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 F) (fabs.f64 F)) (/.f64 l (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) (/.f64 1/2 F)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 (*.f64 F F)) 1/2) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) (*.f64 F F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (neg.f64 l) F) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (*.f64 (*.f64 F F) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (/.f64 (neg.f64 l) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 F F) (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))) (*.f64 F 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fabs.f64 F) (*.f64 (*.f64 F F) (/.f64 (*.f64 F F) l))) (fabs.f64 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 l (*.f64 F F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F (*.f64 F 4))) (*.f64 l 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (*.f64 F F)) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 l (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (neg.f64 l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (neg.f64 l) F) F))))))

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

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

simplify119.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational.json-simplify-2`
964×	`rational.json-simplify-57`
900×	`rational.json-simplify-1`
750×	`rational.json-simplify-51`
578×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	3391
1	379	3343
2	903	3247
3	3254	3247
4	6932	3247

Stop Event

1×	node limit

Counts

157 → 143

Calls

Call 1

Inputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) (*.f64 l (PI.f64))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(*.f64 l (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(.f64 -1 (.f64 (-.f64 (/.f64 1 (pow.f64 F 2)) 1) l))
(*.f64 -1 (/.f64 l (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
l
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (*.f64 -1 (/.f64 l (pow.f64 F 2))) l)
(+.f64 (/.f64 l (*.f64 F F)) 0)
(+.f64 0 (/.f64 l (*.f64 F F)))
(-.f64 (/.f64 l (*.f64 F F)) 0)
(.f64 l (/.f64 1 (.f64 F F)))
(.f64 F (/.f64 F (.f64 (.f64 F F) (/.f64 (.f64 F F) l))))
(.f64 (.f64 F F) (/.f64 1 (.f64 (.f64 F F) (/.f64 (*.f64 F F) l))))
(.f64 (/.f64 l (.f64 F F)) 1)
(.f64 (/.f64 l (.f64 F F)) (/.f64 (fabs.f64 F) (fabs.f64 F)))
(.f64 1 (/.f64 l (.f64 F F)))
(.f64 (+.f64 l l) (/.f64 1/2 (.f64 F F)))
(.f64 (+.f64 l l) (.f64 (/.f64 1 F) (/.f64 1/2 F)))
(.f64 (+.f64 l l) (.f64 (/.f64 1 (*.f64 F F)) 1/2))
(*.f64 (/.f64 l F) (/.f64 1 F))
(.f64 2 (/.f64 l (.f64 (*.f64 F F) 2)))
(.f64 2 (/.f64 (/.f64 l (.f64 F F)) 2))
(.f64 2 (.f64 (/.f64 1/2 (*.f64 F F)) l))
(.f64 2 (.f64 (/.f64 1/2 F) (/.f64 l F)))
(.f64 (.f64 l (/.f64 2 (*.f64 F F))) 1/2)
(.f64 (.f64 l 4) (/.f64 1 (.f64 F (.f64 F 4))))
(.f64 (.f64 l (/.f64 2 F)) (/.f64 1/2 F))
(.f64 (fabs.f64 F) (/.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 (.f64 F F) l))))
(*.f64 (/.f64 1 F) (/.f64 l F))
(.f64 (/.f64 1 (.f64 F F)) l)
(.f64 (neg.f64 l) (/.f64 -1 (.f64 F F)))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 -1 F))
(.f64 -1 (/.f64 (neg.f64 l) (.f64 F F)))
(*.f64 -1 (/.f64 (/.f64 (neg.f64 l) F) F))
(.f64 (/.f64 1/2 (.f64 F F)) (+.f64 l l))
(.f64 1/2 (.f64 l (/.f64 2 (*.f64 F F))))
(.f64 (.f64 F 1/2) (/.f64 (+.f64 F F) (.f64 (.f64 F F) (/.f64 (*.f64 F F) l))))
(.f64 (/.f64 1/2 F) (.f64 l (/.f64 2 F)))
(.f64 (/.f64 (fabs.f64 F) (fabs.f64 F)) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 1 F) (/.f64 1/2 F)) (+.f64 l l))
(.f64 (.f64 (/.f64 1 (*.f64 F F)) 1/2) (+.f64 l l))
(.f64 (/.f64 1 (.f64 (.f64 F F) (/.f64 (.f64 F F) l))) (*.f64 F F))
(.f64 (/.f64 (neg.f64 l) (.f64 F F)) -1)
(*.f64 (/.f64 (/.f64 (neg.f64 l) F) F) -1)
(.f64 (/.f64 l (.f64 (*.f64 F F) 2)) 2)
(*.f64 (/.f64 -1 F) (/.f64 (neg.f64 l) F))
(.f64 (/.f64 F (.f64 (.f64 F F) (/.f64 (.f64 F F) l))) F)
(.f64 (/.f64 (+.f64 F F) (.f64 (.f64 F F) (/.f64 (.f64 F F) l))) (*.f64 F 1/2))
(.f64 (/.f64 (fabs.f64 F) (.f64 (.f64 F F) (/.f64 (.f64 F F) l))) (fabs.f64 F))
(.f64 (/.f64 (/.f64 l (.f64 F F)) 2) 2)
(.f64 (/.f64 1 (.f64 F (.f64 F 4))) (.f64 l 4))
(.f64 (/.f64 -1 (.f64 F F)) (neg.f64 l))
(*.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 l F))
(pow.f64 (/.f64 l (*.f64 F F)) 1)
(neg.f64 (/.f64 (neg.f64 l) (*.f64 F F)))
(neg.f64 (/.f64 (/.f64 (neg.f64 l) F) F))
(+.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 0)
(+.f64 0 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(-.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 0)
(/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) (*.f64 (PI.f64) 2)) 2)
(/.f64 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 4)) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4)))) 16)
(pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(+.f64 l (neg.f64 (/.f64 l (*.f64 F F))))
(+.f64 (-.f64 l (/.f64 l (*.f64 F F))) 0)
(+.f64 0 (-.f64 l (/.f64 l (*.f64 F F))))
(+.f64 -1 (-.f64 l (-.f64 (/.f64 l (*.f64 F F)) 1)))
(+.f64 (neg.f64 (/.f64 l (*.f64 F F))) l)
(+.f64 (-.f64 l (-.f64 (/.f64 l (*.f64 F F)) 1)) -1)
(.f64 l (-.f64 1 (/.f64 1 (.f64 F F))))
(.f64 (-.f64 l (/.f64 l (.f64 F F))) 1)
(.f64 1 (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (+.f64 l l) (-.f64 1/2 (/.f64 1/2 (.f64 F F))))
(.f64 2 (/.f64 (-.f64 l (/.f64 l (.f64 F F))) 2))
(.f64 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 2) 1/2)
(.f64 (-.f64 (/.f64 l (.f64 F F)) l) -1)
(.f64 -1 (-.f64 (/.f64 l (.f64 F F)) l))
(.f64 1/2 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 2))
(.f64 1/2 (-.f64 (+.f64 l l) (.f64 l (/.f64 2 (*.f64 F F)))))
(.f64 (/.f64 (-.f64 l (/.f64 l (.f64 F F))) 2) 2)
(.f64 (-.f64 1 (/.f64 1 (.f64 F F))) l)
(/.f64 (-.f64 l (/.f64 l (*.f64 F F))) 1)
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 2) 2)
(/.f64 (-.f64 (/.f64 l (*.f64 F F)) l) -1)
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4) 4)
(/.f64 (.f64 2 (-.f64 (/.f64 l (.f64 F F)) l)) -2)
(/.f64 (.f64 2 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4)) (.f64 2 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) 16)
(pow.f64 (-.f64 l (/.f64 l (*.f64 F F))) 1)
(neg.f64 (-.f64 (/.f64 l (*.f64 F F)) l))

Outputs
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
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(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
(/.f64 l (pow.f64 F 2))
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l
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l
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(/.f64 (/.f64 l F) F)
(/.f64 l (*.f64 F F))
(*.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 l F))
(/.f64 (/.f64 l F) F)
(/.f64 l (*.f64 F F))
(pow.f64 (/.f64 l (*.f64 F F)) 1)
(/.f64 (/.f64 l F) F)
(/.f64 l (*.f64 F F))
(neg.f64 (/.f64 (neg.f64 l) (*.f64 F F)))
(/.f64 (/.f64 l F) F)
(/.f64 l (*.f64 F F))
(neg.f64 (/.f64 (/.f64 (neg.f64 l) F) F))
(/.f64 (/.f64 l F) F)
(/.f64 l (*.f64 F F))
(+.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 0)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 0 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(-.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 0)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) (*.f64 (PI.f64) 2)) 2)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 4)) 4)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) 8)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (+.f64 (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) (.f64 2 (.f64 (PI.f64) (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4)))) 16)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) 1)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 l (neg.f64 (/.f64 l (*.f64 F F))))
(+.f64 l (neg.f64 (/.f64 (/.f64 l F) F)))
(+.f64 l (/.f64 (neg.f64 l) (*.f64 F F)))
(+.f64 l (/.f64 (/.f64 l F) (neg.f64 F)))
(+.f64 l (/.f64 l (*.f64 F (neg.f64 F))))
(+.f64 (-.f64 l (/.f64 l (*.f64 F F))) 0)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 0 (-.f64 l (/.f64 l (*.f64 F F))))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 -1 (-.f64 l (-.f64 (/.f64 l (*.f64 F F)) 1)))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(+.f64 (neg.f64 (/.f64 l (*.f64 F F))) l)
(+.f64 l (neg.f64 (/.f64 (/.f64 l F) F)))
(+.f64 l (/.f64 (neg.f64 l) (*.f64 F F)))
(+.f64 l (/.f64 (/.f64 l F) (neg.f64 F)))
(+.f64 l (/.f64 l (*.f64 F (neg.f64 F))))
(+.f64 (-.f64 l (-.f64 (/.f64 l (*.f64 F F)) 1)) -1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 l (-.f64 1 (/.f64 1 (.f64 F F))))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 (-.f64 l (/.f64 l (.f64 F F))) 1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 1 (-.f64 l (/.f64 l (.f64 F F))))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 (+.f64 l l) (-.f64 1/2 (/.f64 1/2 (.f64 F F))))
(*.f64 (+.f64 l l) (-.f64 1/2 (/.f64 (/.f64 1/2 F) F)))
(.f64 2 (/.f64 (-.f64 l (/.f64 l (.f64 F F))) 2))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 2) 1/2)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 (-.f64 (/.f64 l (.f64 F F)) l) -1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 -1 (-.f64 (/.f64 l (.f64 F F)) l))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 1/2 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 2))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 1/2 (-.f64 (+.f64 l l) (.f64 l (/.f64 2 (*.f64 F F)))))
(.f64 1/2 (-.f64 (+.f64 l l) (.f64 l (/.f64 (/.f64 2 F) F))))
(.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (*.f64 F F))))))
(.f64 (/.f64 (-.f64 l (/.f64 l (.f64 F F))) 2) 2)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(.f64 (-.f64 1 (/.f64 1 (.f64 F F))) l)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (-.f64 l (/.f64 l (*.f64 F F))) 1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 2) 2)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (-.f64 (/.f64 l (*.f64 F F)) l) -1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4) 4)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (.f64 2 (-.f64 (/.f64 l (.f64 F F)) l)) -2)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (.f64 2 (.f64 (-.f64 l (/.f64 l (*.f64 F F))) 4)) 8)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4)) (.f64 2 (.f64 (-.f64 l (/.f64 l (.f64 F F))) 4))) 16)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(pow.f64 (-.f64 l (/.f64 l (*.f64 F F))) 1)
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))
(neg.f64 (-.f64 (/.f64 l (*.f64 F F)) l))
(-.f64 l (/.f64 (/.f64 l F) F))
(-.f64 l (/.f64 l (*.f64 F F)))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 1 (/.f64 1 (*.f64 F F)))
	0.3b	(*.f64 l (PI.f64))
	0.7b	(/.f64 1 (*.f64 F F))
✓	4.5b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	F	@	0	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	F	@	inf	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	l	@	inf	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
0.0ms	l	@	-inf	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2080×	`rational.json-1`
2080×	`rational.json-2`
1332×	`rational.json-simplify-35`
844×	`exponential.json-3`
844×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	90	52
2	213	52
3	556	52
4	2029	52
5	6922	52

Stop Event

1×	node limit

Counts

2 → 30

Calls

Call 1

Inputs
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 1 (/.f64 1 (*.f64 F F)))

Outputs

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

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

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1122×	`rational.json-simplify-41`
1076×	`rational.json-simplify-59`
1014×	`rational.json-simplify-61`
950×	`rational.json-simplify-35`
812×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	74	1692
1	160	1672
2	400	1600
3	1328	1600
4	3311	1600
5	6793	1600

Stop Event

1×	node limit

Counts

66 → 48

Calls

Call 1

Inputs
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(/.f64 -1 (pow.f64 F 2))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(+.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 0)
(+.f64 0 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))))
(-.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 0)
(/.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 1)
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) (.f64 (PI.f64) 2))) 2)
(/.f64 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)) 4)
(/.f64 (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 4))) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4))) (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)))) 16)
(pow.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 1)
(+.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 0)
(+.f64 0 (-.f64 1 (/.f64 1 (*.f64 F F))))
(+.f64 -1 (-.f64 1 (+.f64 (/.f64 1 (*.f64 F F)) -1)))
(+.f64 (-.f64 1 (+.f64 (/.f64 1 (*.f64 F F)) -1)) -1)
(.f64 1 (-.f64 1 (/.f64 1 (.f64 F F))))
(.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 1)
(.f64 2 (/.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2))
(.f64 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 2) 1/2)
(.f64 (+.f64 (/.f64 1 (.f64 F F)) -1) -1)
(.f64 1/2 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 2))
(.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) -1))
(.f64 (/.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2) 2)
(/.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 1)
(/.f64 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2) 2)
(/.f64 (+.f64 (/.f64 1 (*.f64 F F)) -1) -1)
(/.f64 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4) 4)
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 4)) 8)
(/.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 F F)) -1)) -2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4))) 16)
(pow.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 1)
(neg.f64 (+.f64 (/.f64 1 (*.f64 F F)) -1))

Outputs
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 l (.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (PI.f64)))
(.f64 (-.f64 1 (/.f64 1 (pow.f64 F 2))) (.f64 l (PI.f64)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 -1 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(*.f64 (PI.f64) (neg.f64 (/.f64 l (pow.f64 F 2))))
(*.f64 l (neg.f64 (/.f64 (PI.f64) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))))
(*.f64 (PI.f64) (+.f64 l (neg.f64 (/.f64 l (pow.f64 F 2)))))
(/.f64 -1 (pow.f64 F 2))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
1
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(-.f64 1 (/.f64 1 (pow.f64 F 2)))
(+.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 0)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(+.f64 0 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(-.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 0)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 1)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 l (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) (.f64 (PI.f64) 2))) 2)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)) 4)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 4))) 8)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4))) (.f64 2 (.f64 (.f64 l (PI.f64)) (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)))) 16)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(pow.f64 (.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F)))) 1)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (PI.f64) (.f64 l (-.f64 1 (/.f64 1 (*.f64 F F)))))
(+.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 0)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(+.f64 0 (-.f64 1 (/.f64 1 (*.f64 F F))))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(+.f64 -1 (-.f64 1 (+.f64 (/.f64 1 (*.f64 F F)) -1)))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(+.f64 (-.f64 1 (+.f64 (/.f64 1 (*.f64 F F)) -1)) -1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 1 (-.f64 1 (/.f64 1 (.f64 F F))))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 2 (/.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 2) 1/2)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 (+.f64 (/.f64 1 (.f64 F F)) -1) -1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 1/2 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 2))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 -1 (+.f64 (/.f64 1 (.f64 F F)) -1))
(-.f64 1 (/.f64 1 (*.f64 F F)))
(.f64 (/.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2) 2)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 2) 2)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (+.f64 (/.f64 1 (*.f64 F F)) -1) -1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4) 4)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 4)) 8)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (.f64 2 (+.f64 (/.f64 1 (.f64 F F)) -1)) -2)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4)) (.f64 2 (.f64 (-.f64 1 (/.f64 1 (.f64 F F))) 4))) 16)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(pow.f64 (-.f64 1 (/.f64 1 (*.f64 F F))) 1)
(-.f64 1 (/.f64 1 (*.f64 F F)))
(neg.f64 (+.f64 (/.f64 1 (*.f64 F F)) -1))
(-.f64 1 (/.f64 1 (*.f64 F F)))

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
	0.8b	(/.f64 (PI.f64) (*.f64 F F))
✓	4.6b	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)

Compiler

Compiled 29 to 7 computations (75.9% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
0.0ms	l	@	inf	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
0.0ms	F	@	0	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
0.0ms	l	@	-inf	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
0.0ms	F	@	inf	(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)

rewrite53.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1860×	`rational.json-simplify-35`
1084×	`exponential.json-3`
1084×	`rational.json-1`
1084×	`rational.json-2`
1084×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	52
1	70	52
2	190	52
3	598	52
4	2602	52

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

Outputs

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

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

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1538×	`rational.json-simplify-35`
1368×	`rational.json-simplify-2`
1112×	`rational.json-simplify-46`
950×	`rational.json-simplify-41`
726×	`rational.json-simplify-19`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	90	1976
1	185	1928
2	407	1856
3	1103	1856
4	3087	1856
5	6496	1856
6	7658	1856

Stop Event

1×	node limit

Counts

72 → 68

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2)))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(+.f64 (*.f64 -1 (/.f64 (PI.f64) (pow.f64 F 2))) (PI.f64))
(PI.f64)
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(PI.f64)
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Outputs
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(/.f64 (.f64 2 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) 4)) 8)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) 4)) (.f64 2 (.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) 4))) 16)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(pow.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))) 1)
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))
(neg.f64 (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (PI.f64)))
(-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
✓	0.2b	(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(*.f64 (PI.f64) (/.f64 l F))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series3.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	l	@	inf	(*.f64 (PI.f64) (/.f64 l F))
0.0ms	l	@	0	(*.f64 (PI.f64) (/.f64 l F))
0.0ms	l	@	-inf	(*.f64 (PI.f64) (/.f64 l F))
0.0ms	F	@	-inf	(*.f64 (PI.f64) (/.f64 l F))
0.0ms	l	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))

rewrite95.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1758×	`rational.json-1`
1758×	`rational.json-2`
1758×	`rational.json-3`
1756×	`rational.json-4`
1484×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	71
1	77	71
2	202	67
3	589	63
4	2243	63
5	6392	63

Stop Event

1×	node limit

Counts

3 → 127

Calls

Call 1

Inputs
(*.f64 (PI.f64) (/.f64 l F))
(/.f64 (*.f64 (PI.f64) (/.f64 l F)) F)
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)) (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (/.f64 (/.f64 l F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 (/.f64 (PI.f64) F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l F) (/.f64 (PI.f64) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l F) 2)) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l F) 2)) (*.f64 (/.f64 1 F) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (/.f64 (PI.f64) F) (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (*.f64 (*.f64 (/.f64 1 F) (/.f64 1/2 F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) F) (/.f64 l F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (/.f64 l F) (/.f64 1/2 F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (PI.f64) (/.f64 1/2 F)) (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 l (/.f64 1/2 F)) (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 1/2 F) (*.f64 (PI.f64) (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 (/.f64 l F) (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l F) 4)) (/.f64 1 (*.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) 2) (*.f64 (PI.f64) (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) 2) (*.f64 (/.f64 1 F) (*.f64 (PI.f64) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) 2) (*.f64 1/2 (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (*.f64 (PI.f64) (/.f64 l F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 l F) F) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 (neg.f64 l) F)) (/.f64 -1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 1/2) (*.f64 (/.f64 l F) (/.f64 2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) F) 2) (*.f64 l (/.f64 1/2 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (PI.f64) F) F) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) (/.f64 2 F)) (*.f64 (PI.f64) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (/.f64 1/2 F)) (*.f64 (/.f64 l F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 l F) (/.f64 1/2 F)) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (*.f64 (PI.f64) (*.f64 (/.f64 l F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 F) (/.f64 (+.f64 l l) (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (/.f64 1/2 F)) (*.f64 (/.f64 (PI.f64) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 F)) (*.f64 (*.f64 l (/.f64 1/2 F)) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 1 F)) (*.f64 (/.f64 l 2) (/.f64 (PI.f64) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (PI.f64) F) (/.f64 1/2 F)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) 1/2) (*.f64 (PI.f64) (*.f64 (/.f64 l F) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) (*.f64 (PI.f64) 1/2)) (*.f64 (/.f64 l F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 l l) (/.f64 F (PI.f64))) (/.f64 1/2 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 F) (*.f64 (PI.f64) (/.f64 (neg.f64 l) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 F 4)) (*.f64 (PI.f64) (*.f64 (/.f64 l F) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))))))

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

simplify112.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1380×	`rational.json-simplify-35`
1168×	`rational.json-simplify-49`
1160×	`rational.json-simplify-43`
1088×	`rational.json-simplify-2`
1026×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	261	4417
1	714	4313
2	2011	4225
3	6765	4201

Stop Event

1×	node limit

Counts

199 → 163

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (+.f64 l l) (*.f64 F (/.f64 2 (PI.f64))))
(/.f64 (/.f64 (PI.f64) F) (/.f64 1 l))
(/.f64 2 (/.f64 (*.f64 F (/.f64 2 l)) (PI.f64)))
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(/.f64 (.f64 (PI.f64) 2) (.f64 F (/.f64 2 l)))
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(/.f64 (*.f64 (/.f64 l F) 2) (/.f64 2 (PI.f64)))
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(/.f64 (.f64 l 4) (.f64 2 (*.f64 F (/.f64 2 (PI.f64)))))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 F l)))
(/.f64 (*.f64 (PI.f64) (/.f64 (neg.f64 l) F)) -1)
(/.f64 (neg.f64 l) (/.f64 (neg.f64 F) (PI.f64)))
(/.f64 (neg.f64 l) (neg.f64 (/.f64 F (PI.f64))))
(/.f64 (*.f64 (PI.f64) 1/2) (/.f64 F (+.f64 l l)))
(/.f64 (*.f64 (PI.f64) 1/2) (/.f64 (/.f64 F l) 2))
(/.f64 (.f64 (PI.f64) 1/2) (/.f64 (.f64 F (/.f64 2 l)) 4))
(/.f64 -1 (-.f64 0 (/.f64 (/.f64 F l) (PI.f64))))
(/.f64 4 (+.f64 (/.f64 (.f64 F (/.f64 2 l)) (PI.f64)) (/.f64 (.f64 F (/.f64 2 l)) (PI.f64))))
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(/.f64 (.f64 (PI.f64) 4) (.f64 (/.f64 F l) 4))
(/.f64 (*.f64 (/.f64 (PI.f64) F) 2) (+.f64 (/.f64 1 l) (/.f64 1 l)))
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(/.f64 (*.f64 (/.f64 l F) 4) (+.f64 (/.f64 2 (PI.f64)) (/.f64 2 (PI.f64))))
(/.f64 (*.f64 l -2) (+.f64 (/.f64 (neg.f64 F) (PI.f64)) (/.f64 (neg.f64 F) (PI.f64))))
(/.f64 (.f64 l -2) (-.f64 0 (.f64 F (/.f64 2 (PI.f64)))))
(/.f64 (/.f64 (neg.f64 l) F) (-.f64 0 (/.f64 1 (PI.f64))))
(/.f64 (*.f64 (PI.f64) -2) (+.f64 (neg.f64 (/.f64 F l)) (neg.f64 (/.f64 F l))))
(/.f64 (.f64 (PI.f64) -2) (-.f64 0 (.f64 F (/.f64 2 l))))
(/.f64 (.f64 (.f64 (PI.f64) (/.f64 l F)) -2) -2)
(/.f64 (.f64 2 (.f64 (PI.f64) 4)) (+.f64 (.f64 (/.f64 F l) 4) (.f64 (/.f64 F l) 4)))
(/.f64 (.f64 2 (.f64 (.f64 (PI.f64) (.f64 (/.f64 l F) 2)) 4)) 16)
(/.f64 (neg.f64 (/.f64 (PI.f64) F)) (-.f64 0 (/.f64 1 l)))
(pow.f64 (*.f64 (PI.f64) (/.f64 l F)) 1)
(neg.f64 (*.f64 (PI.f64) (/.f64 (neg.f64 l) F)))
(+.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 0)
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(+.f64 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)) (/.f64 (.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)))
(-.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 0)
(*.f64 (PI.f64) (/.f64 (/.f64 l F) F))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(.f64 (.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F))
(.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
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(.f64 (.f64 (PI.f64) (.f64 (/.f64 l F) 2)) (.f64 (/.f64 1 F) 1/2))
(.f64 (+.f64 l l) (.f64 (/.f64 (PI.f64) F) (/.f64 1/2 F)))
(.f64 (+.f64 l l) (.f64 (*.f64 (/.f64 1 F) (/.f64 1/2 F)) (PI.f64)))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 2 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)))
(.f64 2 (/.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2))
(.f64 2 (.f64 (*.f64 (/.f64 l F) (/.f64 1/2 F)) (PI.f64)))
(.f64 2 (.f64 (*.f64 (PI.f64) (/.f64 1/2 F)) (/.f64 l F)))
(.f64 2 (.f64 (*.f64 l (/.f64 1/2 F)) (/.f64 (PI.f64) F)))
(.f64 2 (.f64 (/.f64 1/2 F) (*.f64 (PI.f64) (/.f64 l F))))
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(.f64 (.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)) 1/2)
(.f64 (.f64 (PI.f64) (.f64 (/.f64 l F) 4)) (/.f64 1 (.f64 F 4)))
(.f64 (.f64 (/.f64 l F) 2) (*.f64 (PI.f64) (/.f64 1/2 F)))
(.f64 (.f64 (/.f64 l F) 2) (.f64 (/.f64 1 F) (.f64 (PI.f64) 1/2)))
(.f64 (.f64 (/.f64 l F) 2) (*.f64 1/2 (/.f64 (PI.f64) F)))
(.f64 (/.f64 1 F) (.f64 (PI.f64) (/.f64 l F)))
(*.f64 (/.f64 (/.f64 l F) F) (PI.f64))
(.f64 (.f64 (PI.f64) (/.f64 (neg.f64 l) F)) (/.f64 -1 F))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (/.f64 l F) (/.f64 2 F)))
(.f64 -1 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))
(.f64 (.f64 (/.f64 (PI.f64) F) 2) (*.f64 l (/.f64 1/2 F)))
(*.f64 (/.f64 (/.f64 (PI.f64) F) F) l)
(.f64 (.f64 (/.f64 l F) (/.f64 2 F)) (*.f64 (PI.f64) 1/2))
(.f64 (.f64 (PI.f64) (/.f64 1/2 F)) (*.f64 (/.f64 l F) 2))
(.f64 (.f64 (/.f64 l F) (/.f64 1/2 F)) (*.f64 (PI.f64) 2))
(.f64 (/.f64 1/2 F) (.f64 (PI.f64) (*.f64 (/.f64 l F) 2)))
(*.f64 (/.f64 1/2 F) (/.f64 (+.f64 l l) (/.f64 F (PI.f64))))
(.f64 1/2 (.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)))
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(.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 1/2 F)) (+.f64 l l))
(.f64 (.f64 (/.f64 1 F) 1/2) (.f64 (PI.f64) (.f64 (/.f64 l F) 2)))
(.f64 (.f64 (/.f64 1 F) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 l F) 2))
(*.f64 (/.f64 (+.f64 l l) (/.f64 F (PI.f64))) (/.f64 1/2 F))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)) -1)
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)) 2)
(.f64 (/.f64 -1 F) (.f64 (PI.f64) (/.f64 (neg.f64 l) F)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2) 2)
(.f64 (/.f64 1 (.f64 F 4)) (.f64 (PI.f64) (.f64 (/.f64 l F) 4)))
(pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))
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(+.f64 -1 (-.f64 1 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))))
(+.f64 (neg.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 (PI.f64) l))
(+.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))) -1)
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
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(.f64 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 1/2)
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(.f64 (.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)) -1)
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(.f64 1/2 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(.f64 (/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 2)
(/.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 2)
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)) -1)
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4) 4)
(/.f64 (.f64 2 (.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))) -2)
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4)) 8)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4)) (.f64 2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4))) 16)
(pow.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
(neg.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)))

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
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(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (PI.f64) (/.f64 l F))
(*.f64 l (/.f64 (PI.f64) F))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
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(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
(*.f64 l (/.f64 (PI.f64) (pow.f64 F 2)))
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(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 2 (.f64 (*.f64 l (/.f64 1/2 F)) (/.f64 (PI.f64) F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 2 (.f64 (/.f64 1/2 F) (*.f64 (PI.f64) (/.f64 l F))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (PI.f64) 2) (*.f64 (/.f64 l F) (/.f64 1/2 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)) 1/2)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (PI.f64) (.f64 (/.f64 l F) 4)) (/.f64 1 (.f64 F 4)))
(.f64 (PI.f64) (.f64 (.f64 (/.f64 l F) 4) (/.f64 1 (.f64 F 4))))
(.f64 (PI.f64) (.f64 (*.f64 (/.f64 l F) 4) (/.f64 1/4 F)))
(.f64 (.f64 (/.f64 l F) 2) (*.f64 (PI.f64) (/.f64 1/2 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l F) 2) (.f64 (/.f64 1 F) (.f64 (PI.f64) 1/2)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l F) 2) (*.f64 1/2 (/.f64 (PI.f64) F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 1 F) (.f64 (PI.f64) (/.f64 l F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(*.f64 (/.f64 (/.f64 l F) F) (PI.f64))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (PI.f64) (/.f64 (neg.f64 l) F)) (/.f64 -1 F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (PI.f64) 1/2) (*.f64 (/.f64 l F) (/.f64 2 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 -1 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 (PI.f64) F) 2) (*.f64 l (/.f64 1/2 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(*.f64 (/.f64 (/.f64 (PI.f64) F) F) l)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l F) (/.f64 2 F)) (*.f64 (PI.f64) 1/2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (PI.f64) (/.f64 1/2 F)) (*.f64 (/.f64 l F) 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 l F) (/.f64 1/2 F)) (*.f64 (PI.f64) 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 1/2 F) (.f64 (PI.f64) (*.f64 (/.f64 l F) 2)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(*.f64 (/.f64 1/2 F) (/.f64 (+.f64 l l) (/.f64 F (PI.f64))))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 1/2 (.f64 (/.f64 l F) (*.f64 (/.f64 (PI.f64) F) 2)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 l (/.f64 1/2 F)) (*.f64 (/.f64 (PI.f64) F) 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 2 (/.f64 1 F)) (.f64 (.f64 l (/.f64 1/2 F)) (PI.f64)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 2 (/.f64 1 F)) (*.f64 (/.f64 l 2) (/.f64 (PI.f64) F)))
(.f64 (.f64 2 (/.f64 1 F)) (*.f64 (/.f64 (PI.f64) F) (/.f64 l 2)))
(.f64 (/.f64 l 2) (.f64 (/.f64 (PI.f64) F) (*.f64 2 (/.f64 1 F))))
(.f64 (/.f64 (PI.f64) F) (.f64 (/.f64 1 F) (*.f64 2 (/.f64 l 2))))
(.f64 (.f64 (/.f64 (PI.f64) F) (/.f64 1/2 F)) (+.f64 l l))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 1 F) 1/2) (.f64 (PI.f64) (.f64 (/.f64 l F) 2)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (.f64 (/.f64 1 F) (.f64 (PI.f64) 1/2)) (.f64 (/.f64 l F) 2))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(*.f64 (/.f64 (+.f64 l l) (/.f64 F (PI.f64))) (/.f64 1/2 F))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)) -1)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 l F)) (+.f64 F F)) 2)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 -1 F) (.f64 (PI.f64) (/.f64 (neg.f64 l) F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 2) 2)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(.f64 (/.f64 1 (.f64 F 4)) (.f64 (PI.f64) (.f64 (/.f64 l F) 4)))
(.f64 (PI.f64) (.f64 (.f64 (/.f64 l F) 4) (/.f64 1 (.f64 F 4))))
(.f64 (PI.f64) (.f64 (*.f64 (/.f64 l F) 4) (/.f64 1/4 F)))
(pow.f64 (*.f64 (PI.f64) (/.f64 (/.f64 l F) F)) 1)
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(neg.f64 (/.f64 (*.f64 (PI.f64) (/.f64 l F)) (neg.f64 F)))
(.f64 (PI.f64) (/.f64 l (.f64 F F)))
(+.f64 (.f64 (PI.f64) l) (neg.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F))))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))))
(.f64 (PI.f64) (+.f64 l (/.f64 (neg.f64 l) (.f64 F F))))
(+.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 0)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 0 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(+.f64 -1 (-.f64 1 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(+.f64 (neg.f64 (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 (PI.f64) l))
(+.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 (PI.f64) (/.f64 l (*.f64 F F)))))
(+.f64 (.f64 l (PI.f64)) (.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))))
(.f64 (PI.f64) (+.f64 l (/.f64 (neg.f64 l) (.f64 F F))))
(+.f64 (-.f64 1 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F)))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (/.f64 (PI.f64) F) F)))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 1 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 2 (/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 1/2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (.f64 (PI.f64) 2) (-.f64 (/.f64 l 2) (*.f64 (/.f64 l F) (/.f64 1/2 F))))
(.f64 (PI.f64) (.f64 2 (-.f64 (/.f64 l 2) (*.f64 (/.f64 l F) (/.f64 1/2 F)))))
(.f64 (-.f64 (/.f64 l 2) (.f64 (/.f64 l F) (/.f64 1/2 F))) (*.f64 (PI.f64) 2))
(.f64 (.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(.f64 -1 (.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(.f64 1/2 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(.f64 (/.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 2) 2)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)) -1)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(/.f64 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4) 4)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (.f64 2 (.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l))) -2)
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))
(/.f64 (.f64 2 (.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4)) 8)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4)) (.f64 2 (.f64 (.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 4))) 16)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(pow.f64 (*.f64 (PI.f64) (-.f64 l (/.f64 (/.f64 l F) F))) 1)
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (-.f64 (/.f64 (/.f64 l F) F) l)))
(+.f64 -1 (-.f64 1 (.f64 (PI.f64) (-.f64 (/.f64 l (.f64 F F)) l))))
(.f64 (PI.f64) (neg.f64 (-.f64 (/.f64 l (.f64 F F)) l)))

eval357.0ms (2.2%)

Compiler: Compiled 7683 to 3367 computations (56.2% saved)

prune211.0ms (1.3%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	569	5	574
Fresh	3	4	7
Picked	0	1	1
Done	1	4	5
Total	573	14	587

Error

0.3b

Counts

587 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	14.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
✓	14.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	14.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 4 (.f64 (/.f64 4 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
✓	10.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
	14.7b	(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
	19.4b	(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
✓	19.4b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
	19.4b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
✓	19.2b	(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
	14.7b	(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
	19.4b	(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
✓	13.7b	(*.f64 l (PI.f64))

Compiler

Compiled 195 to 129 computations (33.8% saved)

regimes355.0ms (2.2%)

Counts

68 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (.f64 (/.f64 4 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (/.f64 1 F)) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 F (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (tan.f64 (.f64 l (PI.f64)))))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 F F) (/.f64 (.f64 F (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 2 F)) F) (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 F (/.f64 4 (.f64 (/.f64 2 F) (.f64 2 (.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F F))) (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (neg.f64 (/.f64 2 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 1 (.f64 F (+.f64 F F))) (/.f64 (/.f64 (.f64 F F) (+.f64 F F)) F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F))))))) (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))))) (.f64 4 (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (.f64 F (/.f64 (.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) 1/9) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (/.f64 F (pow.f64 (PI.f64) 3)))))))) (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (+.f64 (+.f64 (.f64 (pow.f64 l 3) (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) 2) (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (/.f64 F (pow.f64 (PI.f64) 2)))) -1)) (.f64 -1 (.f64 (pow.f64 l 5) (+.f64 (/.f64 (.f64 F (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 4) 1/24)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))))))))) (pow.f64 (PI.f64) 2)) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) 2) (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (/.f64 F (pow.f64 (PI.f64) 2)))) (/.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (PI.f64)))) (.f64 -1 (.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (.f64 (pow.f64 (PI.f64) 2) -1/2))))) (/.f64 F (pow.f64 (PI.f64) 3))))))))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2)))))))))

Outputs

(*.f64 l (PI.f64))

(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 2 F) (*.f64 (/.f64 1/2 F) (tan.f64 (*.f64 (PI.f64) l)))))

(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (*.f64 -1 (+.f64 (*.f64 (pow.f64 l 3) (*.f64 F (+.f64 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/24) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (*.f64 (pow.f64 l 5) (+.f64 (*.f64 (-.f64 (*.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (*.f64 (pow.f64 (PI.f64) 7) -1/720) (*.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/24) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (*.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (*.f64 F (+.f64 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/24) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (*.f64 F (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/24) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (*.f64 l (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))))

Calls

6 calls:

85.0ms	l
82.0ms	(*.f64 (PI.f64) l)
71.0ms	(*.f64 F F)
30.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
29.0ms	F

Results

Error	Segments	Branch
1.4b	1	`F`
0.3b	3	`l`
1.4b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.3b	3	`(*.f64 (PI.f64) l)`
1.4b	1	`(/.f64 1 (*.f64 F F))`
1.4b	1	`(*.f64 F F)`

Compiler

Compiled 1995 to 1068 computations (46.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-4.716473665739544e-26	-2.3029431368382233e-26
0.0ms	-30830133614330790.0	-580786204589292.4

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes525.0ms (3.2%)

Counts

66 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (.f64 (/.f64 4 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (/.f64 1 F)) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 F (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (tan.f64 (.f64 l (PI.f64)))))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 F F) (/.f64 (.f64 F (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 2 F)) F) (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 F (/.f64 4 (.f64 (/.f64 2 F) (.f64 2 (.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F F))) (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (neg.f64 (/.f64 2 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 1 (.f64 F (+.f64 F F))) (/.f64 (/.f64 (.f64 F F) (+.f64 F F)) F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F))))))) (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))))) (.f64 4 (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (.f64 F (/.f64 (.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (+.f64 (.f64 (.f64 (pow.f64 (pow.f64 (PI.f64) 3) 2) 1/9) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 3)))) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2))) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (/.f64 F (pow.f64 (PI.f64) 3)))))))) (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))))

Outputs

(*.f64 l (PI.f64))

(-.f64 (*.f64 (PI.f64) l) (/.f64 1 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (*.f64 l (*.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (*.f64 (pow.f64 l 3) (*.f64 F (+.f64 (/.f64 (-.f64 (*.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (*.f64 (pow.f64 (PI.f64) 5) 1/24) (*.f64 (pow.f64 (PI.f64) 2) (*.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))

Calls

6 calls:

201.0ms	l
140.0ms	(*.f64 (PI.f64) l)
87.0ms	(*.f64 F F)
28.0ms	F
25.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Error	Segments	Branch
1.5b	1	`F`
0.3b	3	`l`
1.5b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.3b	3	`(*.f64 (PI.f64) l)`
1.5b	1	`(/.f64 1 (*.f64 F F))`
1.5b	1	`(*.f64 F F)`

Compiler

Compiled 1486 to 672 computations (54.8% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	-3.010014355700495e-100	-1.4709876796974504e-100
0.0ms	-30830133614330790.0	-580786204589292.4

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes419.0ms (2.6%)

Counts

63 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 2 (.f64 (.f64 F F) (/.f64 2 (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (.f64 (/.f64 4 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 4 (/.f64 (.f64 (.f64 F F) 4) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (tan.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (/.f64 1 F)) (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 F (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 F (.f64 F (/.f64 1 (.f64 (.f64 F F) (.f64 F F))))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (neg.f64 F)) (/.f64 (.f64 F (.f64 F (.f64 F (neg.f64 F)))) (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 -1 (-.f64 1 (neg.f64 (tan.f64 (.f64 l (PI.f64)))))) (.f64 F (.f64 (/.f64 1 F) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 F F) (/.f64 (.f64 F (/.f64 (.f64 F (.f64 F F)) (tan.f64 (.f64 l (PI.f64))))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (.f64 (.f64 F F) (/.f64 2 F)) F) (/.f64 (+.f64 F F) (tan.f64 (.f64 l (PI.f64))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 F (/.f64 4 (.f64 (/.f64 2 F) (.f64 2 (.f64 F (.f64 F (/.f64 (.f64 F F) (tan.f64 (.f64 l (PI.f64)))))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (neg.f64 (/.f64 (/.f64 (+.f64 F F) (.f64 F (.f64 F F))) (/.f64 F (tan.f64 (.f64 l (PI.f64)))))) (neg.f64 (/.f64 2 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 (/.f64 1 (.f64 F (+.f64 F F))) (/.f64 (/.f64 (.f64 F F) (+.f64 F F)) F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (sin.f64 (*.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F))))))) (.f64 F (.f64 (+.f64 F F) (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (.f64 F (/.f64 (/.f64 F F) (.f64 F F)))))))) (.f64 4 (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (neg.f64 (.f64 F (/.f64 (.f64 l (*.f64 (pow.f64 (PI.f64) 3) 1/3)) (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)) (neg.f64 (/.f64 F (pow.f64 (PI.f64) 2)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (.f64 l (PI.f64)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (/.f64 F (pow.f64 (PI.f64) 2))))))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(*.f64 l (PI.f64))

Calls

6 calls:

136.0ms	(*.f64 (PI.f64) l)
113.0ms	l
96.0ms	F
23.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
19.0ms	(*.f64 F F)

Results

Error	Segments	Branch
4.2b	3	`F`
0.3b	3	`l`
6.5b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.3b	3	`(*.f64 (PI.f64) l)`
6.5b	1	`(/.f64 1 (*.f64 F F))`
6.5b	1	`(*.f64 F F)`

Compiler

Compiled 1132 to 413 computations (63.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0123180860630656e-33	6.182260673273247e-20
0.0ms	-30830133614330790.0	-580786204589292.4

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes363.0ms (2.2%)

Counts

35 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(*.f64 l (PI.f64))

Calls

6 calls:

113.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
103.0ms	(*.f64 F F)
42.0ms	F
41.0ms	(*.f64 (PI.f64) l)
41.0ms	l

Results

Error	Segments	Branch
7.6b	3	`F`
0.3b	3	`l`
6.4b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.3b	3	`(*.f64 (PI.f64) l)`
8.1b	2	`(/.f64 1 (*.f64 F F))`
8.1b	2	`(*.f64 F F)`

Compiler

Compiled 493 to 180 computations (63.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0123180860630656e-33	6.182260673273247e-20
0.0ms	-30830133614330790.0	-580786204589292.4

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes547.0ms (3.3%)

Counts

33 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 (/.f64 F l) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (/.f64 (.f64 F (.f64 F F)) (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 l (/.f64 (PI.f64) (.f64 F F)))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 F F)) (.f64 F (/.f64 1 F))) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (.f64 (.f64 F F) (.f64 F F))) (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 F (.f64 (/.f64 1 F) (.f64 (.f64 F F) (/.f64 F (*.f64 l (/.f64 (PI.f64) F)))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 F (.f64 F F)) (.f64 F (.f64 (.f64 F F) (/.f64 (/.f64 F l) (/.f64 (PI.f64) F))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 F F) (/.f64 (.f64 l (PI.f64)) (/.f64 F (/.f64 (/.f64 F F) (*.f64 F F))))) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64)))))
(*.f64 l (PI.f64))

Calls

5 calls:

278.0ms	l
118.0ms	(*.f64 (PI.f64) l)
102.0ms	F
26.0ms	(*.f64 F F)
14.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
7.7b	3	`F`
0.7b	3	`l`
0.7b	3	`(*.f64 (PI.f64) l)`
8.1b	2	`(/.f64 1 (*.f64 F F))`
8.1b	2	`(*.f64 F F)`

Compiler

Compiled 451 to 163 computations (63.9% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	4.0123180860630656e-33	6.182260673273247e-20
0.0ms	-8.265711195609322	-1.0915447667409556e-9

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes404.0ms (2.5%)

Counts

20 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))

Outputs
(*.f64 l (PI.f64))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(*.f64 l (PI.f64))

Calls

4 calls:

285.0ms	l
74.0ms	F
26.0ms	(*.f64 F F)
12.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
11.2b	2	`F`
0.8b	3	`l`
12.3b	2	`(/.f64 1 (*.f64 F F))`
11.2b	4	`(*.f64 F F)`

Compiler

Compiled 230 to 96 computations (58.3% saved)

bsearch114.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
85.0ms	1.2771605133078993e-33	1.9678746912681323e-20
29.0ms	-2.6310575899024875	-3.474494904658259e-10

Results

69.0ms	69×	body	256	infinite
41.0ms	320×	body	256	valid

Compiler

Compiled 421 to 294 computations (30.2% saved)

regimes202.0ms (1.2%)

Counts

18 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 l (/.f64 (.f64 F F) (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 (.f64 F F) l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(*.f64 l (PI.f64))

Calls

4 calls:

87.0ms	(/.f64 1 (*.f64 F F))
71.0ms	l
23.0ms	(*.f64 F F)
16.0ms	F

Results

Error	Segments	Branch
11.2b	2	`F`
0.8b	3	`l`
12.3b	2	`(/.f64 1 (*.f64 F F))`
11.2b	4	`(*.f64 F F)`

Compiler

Compiled 206 to 89 computations (56.8% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.2771605133078993e-33	1.9678746912681323e-20
31.0ms	-2.6310575899024875	-3.474494904658259e-10

Results

44.0ms	320×	body	256	valid
10.0ms	79×	body	256	infinite

Compiler

Compiled 421 to 294 computations (30.2% saved)

regimes169.0ms (1%)

Counts

12 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (*.f64 F F))))
(.f64 (.f64 (PI.f64) (-.f64 1 (/.f64 (/.f64 1 F) F))) l)
(.f64 (.f64 l (PI.f64)) (-.f64 1 (neg.f64 (/.f64 (/.f64 -1 F) F))))
(.f64 (PI.f64) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l (/.f64 2 (.f64 F F)))))))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(.f64 (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) l)
(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))

Outputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F))))
(*.f64 l (PI.f64))

Calls

4 calls:

90.0ms	F
44.0ms	(*.f64 F F)
18.0ms	l
14.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
11.2b	2	`F`
0.8b	3	`l`
12.3b	2	`(/.f64 1 (*.f64 F F))`
11.2b	4	`(*.f64 F F)`

Compiler

Compiled 140 to 72 computations (48.6% saved)

bsearch55.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.2771605133078993e-33	1.9678746912681323e-20
29.0ms	-2.6310575899024875	-3.474494904658259e-10

Results

45.0ms	320×	body	256	valid
7.0ms	52×	body	256	infinite

Compiler

Compiled 421 to 314 computations (25.4% saved)

regimes30.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 (PI.f64) (+.f64 l (/.f64 (/.f64 (neg.f64 l) F) F)))

Outputs
(*.f64 l (PI.f64))
(*.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64))
(*.f64 l (PI.f64))

Calls

3 calls:

11.0ms	(*.f64 F F)
11.0ms	l
7.0ms	F

Results

Error	Segments	Branch
11.2b	2	`F`
0.8b	3	`l`
11.3b	4	`(*.f64 F F)`

Compiler

Compiled 44 to 24 computations (45.5% saved)

bsearch102.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	1.2771605133078993e-33	1.9678746912681323e-20
31.0ms	-2.6310575899024875	-3.474494904658259e-10

Results

89.0ms	320×	body	256	valid
8.0ms	57×	body	256	infinite

Compiler

Compiled 381 to 274 computations (28.1% saved)

regimes24.0ms (0.1%)

Accuracy

Total -22.4b remaining (-422.8%)

Threshold costs -22.4b (-422.8%)

Counts

2 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))

Outputs
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F))))
(*.f64 l (PI.f64))

Calls

3 calls:

9.0ms	(*.f64 F F)
8.0ms	l
6.0ms	F

Results

Error	Segments	Branch
11.2b	2	`F`
5.3b	3	`l`
11.3b	4	`(*.f64 F F)`

Compiler

Compiled 25 to 15 computations (40% saved)

bsearch133.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
30.0ms	1.2771605133078993e-33	1.9678746912681323e-20
103.0ms	-2.6310575899024875	-3.474494904658259e-10

Results

118.0ms	320×	body	256	valid
11.0ms	82×	body	256	infinite

Compiler

Compiled 381 to 274 computations (28.1% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	1739

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) -1742245718635205/43556142965880123323311949751266331066368) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l))))) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) -492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -5) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64))))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) (*.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64)) (*.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) -1742245718635205/43556142965880123323311949751266331066368) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (/.f64 1/2 F) (tan.f64 (.f64 (PI.f64) l))))) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (.f64 -1 (+.f64 (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))) (+.f64 (.f64 (pow.f64 l 5) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (pow.f64 (PI.f64) 7)) (+.f64 (.f64 (pow.f64 (PI.f64) 4) (.f64 (pow.f64 (PI.f64) 3) 1/72)) (+.f64 (.f64 (pow.f64 (PI.f64) 7) -1/720) (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)))))) (/.f64 F (pow.f64 (PI.f64) 2))) (neg.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (+.f64 (/.f64 (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3)))))) (PI.f64)) (.f64 F (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 3)))))))) (.f64 l (.f64 (*.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))))))))))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) -492525077454931/2462625387274654950767440006258975862817483704404090416746768337765357610718575663213391640930307227550414249394176) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 (/.f64 F l) (PI.f64)) (neg.f64 (+.f64 (.f64 l (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (pow.f64 l 3) (.f64 F (+.f64 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 (pow.f64 (PI.f64) 5) 1/24) (.f64 (pow.f64 (PI.f64) 2) (.f64 -1/6 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2)) (neg.f64 (*.f64 1/9 (/.f64 (pow.f64 (PI.f64) 6) (pow.f64 (PI.f64) 3))))))))))))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))) (*.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -20000000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (.f64 l (PI.f64))))
(if (<=.f64 (.f64 (PI.f64) l) -5) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 7307508186654515/1461501637330902918203684832716283019655932542976) (-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 F (/.f64 (/.f64 F l) (PI.f64))))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l))) (*.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (PI.f64) (-.f64 l (.f64 (/.f64 l F) (/.f64 1 F)))) (.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (-.f64 l (/.f64 (/.f64 l F) F)) (PI.f64)) (*.f64 l (PI.f64))))
(if (<=.f64 l -1/2) (.f64 l (PI.f64)) (if (<=.f64 l 6479986479451465/332306998946228968225951765070086144) (.f64 (PI.f64) (-.f64 l (/.f64 l (.f64 F F)))) (.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Compiler

Compiled 578 to 374 computations (35.3% saved)

soundness222.0ms (1.4%)

Algorithm

2×	egg-herbie

Rules

1444×	`rational.json-simplify-50`
1282×	`rational.json-simplify-53`
1250×	`rational.json-simplify-2`
1100×	`rational.json-simplify-49`
1062×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	256	2951
1	1035	2933
2	3919	2771
3	6061	2771
0	229	5410
1	511	4926
2	1108	4850
3	2708	4790
4	4744	4788

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 329 to 255 computations (22.5% saved)

end343.0ms (2.1%)

Compiler: Compiled 558 to 315 computations (43.5% saved)