Details

analyze311.0ms (1.5%)

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 (14.3%)

Results

1.1s	1038×	body	2048	valid
775.0ms	1916×	body	1024	valid
663.0ms	4551×	body	256	valid
213.0ms	53×	body	4096	valid
180.0ms	698×	body	512	valid
78.0ms	281×	body	256	infinite
4.0ms	7×	body	2048	infinite
1.0ms	2×	body	8192	exit

Bogosity

preprocess54.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

988×	`rational.json-simplify-13`
986×	`rational.json-simplify-14`
876×	`rational.json-simplify-44`
806×	`rational.json-simplify-43`
766×	`rational.json-simplify-15`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	90
1	43	90
2	106	78
3	299	78
4	1121	78
5	5660	78
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 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 l l)))

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1320×	`rational.json-simplify-5`
1246×	`rational.json-simplify-37`
1024×	`rational.json-simplify-67`
906×	`rational.json-simplify-50`
746×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	27	45
2	60	39
3	160	39
4	576	39
5	2831	39
6	4851	39
7	7331	39

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 F F)))

eval1.0ms (0%)

Compiler: Compiled 28 to 12 computations (57.1% saved)

prune1.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

17.3b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	17.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 1 (*.f64 F F))
✓	0.2b	(*.f64 (PI.f64) l)
✓	4.4b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series8.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	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)))

rewrite146.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`rational.json-simplify-6`
936×	`rational.json-simplify-13`
876×	`rational.json-simplify-24`
834×	`rational.json-simplify-5`
822×	`rational.json-simplify-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	76	60
2	249	60
3	1332	60

Stop Event

1×	node limit

Counts

4 → 612

Calls

Call 1

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

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

simplify215.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1468×	`rational.json-simplify-4`
1258×	`rational.json-simplify-1`
1104×	`rational.json-simplify-13`
1032×	`rational.json-simplify-6`
844×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1191	19970
1	4038	19862

Stop Event

1×	node limit

Counts

672 → 710

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))
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(-.f64 (+.f64 (.f64 (PI.f64) 0) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) (+.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l l))))
(-.f64 (+.f64 (.f64 l 0) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) (+.f64 (.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l l))))
(-.f64 (+.f64 (/.f64 l (/.f64 1 0)) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (+.f64 (/.f64 (PI.f64) (/.f64 1 0)) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (/.f64 (.f64 (PI.f64) 0) -1) (.f64 (PI.f64) (neg.f64 l)))
(-.f64 (/.f64 (.f64 l 0) -1) (.f64 (PI.f64) (neg.f64 l)))
(-.f64 (/.f64 (+.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) (/.f64 1 l)) (/.f64 (+.f64 (PI.f64) (*.f64 (PI.f64) 2)) (/.f64 1 l)))
(-.f64 (/.f64 (+.f64 l (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64))) (/.f64 (+.f64 l (+.f64 l l)) (/.f64 1 (PI.f64))))
(-.f64 (/.f64 0 (.f64 -1 (/.f64 1 l))) (.f64 (PI.f64) (neg.f64 l)))
(-.f64 (/.f64 0 (neg.f64 (/.f64 1 l))) (*.f64 (PI.f64) (neg.f64 l)))
(-.f64 (/.f64 0 (.f64 -1 (/.f64 1 (PI.f64)))) (.f64 (PI.f64) (neg.f64 l)))
(-.f64 (/.f64 0 (neg.f64 (/.f64 1 (PI.f64)))) (*.f64 (PI.f64) (neg.f64 l)))
(/.f64 (PI.f64) (/.f64 1 l))
(/.f64 (PI.f64) (.f64 -1 (.f64 -1 (/.f64 1 l))))
(/.f64 (PI.f64) (*.f64 -1 (neg.f64 (/.f64 1 l))))
(/.f64 (PI.f64) (neg.f64 (*.f64 -1 (/.f64 1 l))))
(/.f64 (PI.f64) (neg.f64 (neg.f64 (/.f64 1 l))))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 l (.f64 -1 (.f64 -1 (/.f64 1 (PI.f64)))))
(/.f64 l (*.f64 -1 (neg.f64 (/.f64 1 (PI.f64)))))
(/.f64 l (neg.f64 (*.f64 -1 (/.f64 1 (PI.f64)))))
(/.f64 l (neg.f64 (neg.f64 (/.f64 1 (PI.f64)))))
(/.f64 (*.f64 (PI.f64) l) 1)
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 l)))
(/.f64 1 (*.f64 (/.f64 1 l) (/.f64 1 (PI.f64))))
(/.f64 1/2 (/.f64 (/.f64 1 (+.f64 l l)) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 (PI.f64) 2)) l))
(/.f64 (neg.f64 (PI.f64)) (*.f64 -1 (/.f64 1 l)))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 1 l)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -1 l))
(/.f64 (neg.f64 (PI.f64)) (*.f64 1 (neg.f64 (/.f64 1 l))))
(/.f64 (neg.f64 l) (*.f64 -1 (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 l) (neg.f64 (/.f64 1 (PI.f64))))
(/.f64 (neg.f64 l) (/.f64 -1 (PI.f64)))
(/.f64 (neg.f64 l) (*.f64 1 (neg.f64 (/.f64 1 (PI.f64)))))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) -1)
(neg.f64 (*.f64 (PI.f64) (neg.f64 l)))
(+.f64 (/.f64 1 (*.f64 F F)) 0)
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)))
(+.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(+.f64 (/.f64 1 (.f64 F F)) (.f64 0 (/.f64 1 F)))
(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 0 (/.f64 0 F)))
(+.f64 (/.f64 1 (.f64 F F)) (+.f64 0 (.f64 0 (/.f64 1 F))))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (*.f64 F F))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 0 (/.f64 0 F)))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 0 (.f64 0 (/.f64 1 F))))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (.f64 0 (/.f64 1 F)) (*.f64 0 (/.f64 1 F))))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 0 F) (/.f64 0 F)))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (.f64 0 (/.f64 1 F)) (/.f64 0 F)))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (/.f64 0 F) (.f64 0 (/.f64 1 F))))
(+.f64 0 (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (.f64 F F)))
(+.f64 (/.f64 (/.f64 -1 F) F) (/.f64 2 (*.f64 F F)))
(+.f64 (/.f64 2 (*.f64 F F)) (/.f64 (/.f64 -1 F) F))
(+.f64 (/.f64 2 (.f64 F F)) (-.f64 (/.f64 2 (.f64 F F)) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F)))))
(+.f64 (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 (.f64 0 (/.f64 1 F)) (/.f64 1 (.f64 F F)))
(+.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 0 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F)))))
(-.f64 (/.f64 1 (*.f64 F F)) 0)
(-.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (/.f64 1 (.f64 F F)) (.f64 0 (/.f64 1 F)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 (/.f64 F 1/2)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 (neg.f64 F)))
(-.f64 0 (/.f64 (/.f64 -1 F) F))
(-.f64 (/.f64 1/2 (*.f64 F F)) (/.f64 (/.f64 -1 F) (/.f64 F 1/2)))
(-.f64 (/.f64 (/.f64 -1 F) F) (-.f64 0 (/.f64 2 (*.f64 F F))))
(-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 2 (*.f64 F F)) -1))
(-.f64 (/.f64 2 (.f64 F F)) (/.f64 1 (.f64 F F)))
(-.f64 (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) (/.f64 (/.f64 -1 F) F))
(-.f64 (/.f64 0 F) (/.f64 (/.f64 -1 F) F))
(-.f64 (*.f64 0 (/.f64 1 F)) (/.f64 (/.f64 -1 F) F))
(-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(-.f64 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 2 (*.f64 F F)))
(-.f64 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 2 (*.f64 F F))))
(-.f64 (-.f64 0 (/.f64 0 F)) (/.f64 (/.f64 -1 F) F))
(-.f64 (-.f64 0 (*.f64 0 (/.f64 1 F))) (/.f64 (/.f64 -1 F) F))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 0 F)) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (.f64 0 (/.f64 1 F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (*.f64 F F))))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(-.f64 (+.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 1/2 (*.f64 F F)))
(-.f64 (/.f64 0 (neg.f64 F)) (/.f64 (/.f64 -1 F) F))
(.f64 1 (/.f64 1 (.f64 F F)))
(.f64 (/.f64 1 (.f64 F F)) 1)
(*.f64 (/.f64 1 F) (/.f64 1 F))
(.f64 2 (/.f64 1/2 (.f64 F F)))
(.f64 1/2 (/.f64 2 (.f64 F F)))
(.f64 (/.f64 1/2 (.f64 F F)) 2)
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(.f64 -1 (.f64 2 (neg.f64 (/.f64 1/2 (*.f64 F F)))))
(.f64 -1 (.f64 2 (/.f64 1/2 (*.f64 F (neg.f64 F)))))
(.f64 -1 (.f64 (/.f64 1 F) (/.f64 -1 F)))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(*.f64 (/.f64 1/2 F) (/.f64 2 F))
(.f64 (/.f64 1/2 F) (.f64 2 (/.f64 1 F)))
(.f64 -1/2 (.f64 2 (/.f64 (/.f64 -1 F) F)))
(*.f64 (/.f64 -1 F) (/.f64 -1 F))
(.f64 (/.f64 2 (.f64 F F)) 1/2)
(*.f64 (/.f64 2 F) (/.f64 1/2 F))
(*.f64 4 (/.f64 (/.f64 1/2 F) (+.f64 F F)))
(.f64 4 (.f64 1 (/.f64 (/.f64 1/2 F) (+.f64 F F))))
(.f64 -2 (neg.f64 (/.f64 1/2 (.f64 F F))))
(.f64 -2 (/.f64 1/2 (.f64 F (neg.f64 F))))
(.f64 -2 (.f64 1 (neg.f64 (/.f64 1/2 (*.f64 F F)))))
(.f64 -2 (.f64 1 (/.f64 1/2 (*.f64 F (neg.f64 F)))))
(.f64 -2 (.f64 (/.f64 1 F) (/.f64 1/2 (neg.f64 F))))
(*.f64 (+.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) -1/2)
(*.f64 (+.f64 (/.f64 -1 F) (/.f64 -1 F)) (/.f64 1/2 (neg.f64 F)))
(.f64 (+.f64 (/.f64 -1 F) (/.f64 -1 F)) (.f64 1 (/.f64 1/2 (neg.f64 F))))
(*.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 1 F))
(neg.f64 (/.f64 (/.f64 -1 F) F))
(fabs.f64 (/.f64 1 (*.f64 F 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 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (.f64 l (PI.f64)))
(+.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 -1/2 (pow.f64 (PI.f64) 2)))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (*.f64 l (PI.f64))))
(+.f64 (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2))) (.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 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) -1/2)) (*.f64 -1/2 (pow.f64 (PI.f64) 2)))))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64))))
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(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.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 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
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(-.f64 (+.f64 (/.f64 l (/.f64 1 0)) (.f64 l 0)) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (/.f64 (PI.f64) (/.f64 1 0)) (.f64 (PI.f64) 0)) (.f64 (PI.f64) (neg.f64 l)))
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(*.f64 l (PI.f64))
(-.f64 (-.f64 0 (/.f64 (PI.f64) (/.f64 1 0))) (*.f64 (PI.f64) (neg.f64 l)))
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(-.f64 (-.f64 (.f64 l 0) (/.f64 l (/.f64 1 0))) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 l 0) (/.f64 (PI.f64) (/.f64 1 0))) (.f64 (PI.f64) (neg.f64 l)))
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(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l))) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) l))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l))) (/.f64 l (/.f64 1 0))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l))) (/.f64 (PI.f64) (/.f64 1 0))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
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(*.f64 l (PI.f64))
(-.f64 (+.f64 (/.f64 l (/.f64 1 0)) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
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(-.f64 (/.f64 (.f64 l 0) -1) (.f64 (PI.f64) (neg.f64 l)))
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(/.f64 (-.f64 (+.f64 (.f64 (PI.f64) 2) (.f64 (PI.f64) 2)) (+.f64 (PI.f64) (*.f64 (PI.f64) 2))) (/.f64 1 l))
(/.f64 (-.f64 (*.f64 (PI.f64) 2) (PI.f64)) (/.f64 1 l))
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(/.f64 (-.f64 (+.f64 l (+.f64 l (+.f64 l l))) (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (+.f64 l (+.f64 l l))) (+.f64 l (+.f64 l l)))))
(-.f64 (/.f64 0 (.f64 -1 (/.f64 1 l))) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (/.f64 0 (neg.f64 (/.f64 1 l))) (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (/.f64 0 (.f64 -1 (/.f64 1 (PI.f64)))) (.f64 (PI.f64) (neg.f64 l)))
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(-.f64 (/.f64 0 (neg.f64 (/.f64 1 (PI.f64)))) (*.f64 (PI.f64) (neg.f64 l)))
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(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (.f64 -1 (.f64 -1 (/.f64 1 l))))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (*.f64 -1 (neg.f64 (/.f64 1 l))))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (neg.f64 (*.f64 -1 (/.f64 1 l))))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (neg.f64 (neg.f64 (/.f64 1 l))))
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 l (.f64 -1 (.f64 -1 (/.f64 1 (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 l (*.f64 -1 (neg.f64 (/.f64 1 (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 l (neg.f64 (*.f64 -1 (/.f64 1 (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 l (neg.f64 (neg.f64 (/.f64 1 (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) l) 1)
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(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(/.f64 1 (*.f64 (/.f64 1 (PI.f64)) (/.f64 1 l)))
(*.f64 l (PI.f64))
(/.f64 1 (*.f64 (/.f64 1 l) (/.f64 1 (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 (/.f64 1 (+.f64 l l)) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (+.f64 l l)))
(/.f64 (PI.f64) (/.f64 2 (+.f64 l l)))
(/.f64 1/2 (/.f64 (/.f64 1 (*.f64 (PI.f64) 2)) l))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (*.f64 -1 (/.f64 1 l)))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (neg.f64 (/.f64 1 l)))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -1 l))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (*.f64 1 (neg.f64 (/.f64 1 l))))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (*.f64 -1 (/.f64 1 (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (neg.f64 (/.f64 1 (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (/.f64 -1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (*.f64 1 (neg.f64 (/.f64 1 (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) -1)
(*.f64 l (PI.f64))
(neg.f64 (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(+.f64 (/.f64 1 (*.f64 F F)) 0)
(/.f64 1 (*.f64 F F))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)))
(+.f64 (/.f64 (-.f64 (/.f64 -1 F) (/.f64 -1 F)) F) (/.f64 1 (*.f64 F F)))
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(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 1 (.f64 F F)) (.f64 0 (/.f64 1 F)))
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(+.f64 (/.f64 1 (*.f64 F F)) (+.f64 0 (/.f64 0 F)))
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(+.f64 (/.f64 1 (.f64 F F)) (+.f64 0 (.f64 0 (/.f64 1 F))))
(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (*.f64 F F))))
(+.f64 (/.f64 0 (.f64 F F)) (/.f64 1 (.f64 F F)))
(+.f64 (/.f64 1 (*.f64 F F)) (-.f64 0 (/.f64 0 F)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
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(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
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(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
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(+.f64 (/.f64 1 (.f64 F F)) (-.f64 (.f64 0 (/.f64 1 F)) (/.f64 0 F)))
(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
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(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 0 (/.f64 1 (*.f64 F F)))
(/.f64 1 (*.f64 F F))
(+.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(+.f64 (/.f64 (/.f64 -1 F) F) (/.f64 2 (*.f64 F F)))
(+.f64 (/.f64 -1 (.f64 F F)) (/.f64 2 (.f64 F F)))
(+.f64 (/.f64 2 (*.f64 F F)) (/.f64 (/.f64 -1 F) F))
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(+.f64 (/.f64 2 (.f64 F F)) (-.f64 (/.f64 2 (.f64 F F)) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F)))))
(/.f64 1 (*.f64 F F))
(+.f64 (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 (-.f64 (/.f64 -1 F) (/.f64 -1 F)) F) (/.f64 1 (*.f64 F F)))
(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 (.f64 0 (/.f64 1 F)) (/.f64 1 (.f64 F F)))
(+.f64 (/.f64 0 F) (/.f64 1 (*.f64 F F)))
(+.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 0 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F)))))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (*.f64 F F)) 0)
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1 (*.f64 F F)) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 (-.f64 (/.f64 -1 F) (/.f64 -1 F)) F))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (/.f64 1 (.f64 F F)) (.f64 0 (/.f64 1 F)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 (/.f64 F 1/2)))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 (neg.f64 F)))
(-.f64 0 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 1/2 (*.f64 F F)) (/.f64 (/.f64 -1 F) (/.f64 F 1/2)))
(-.f64 (/.f64 1/2 (.f64 F F)) (.f64 (/.f64 -1 F) (/.f64 1/2 F)))
(-.f64 (/.f64 1/2 (.f64 F F)) (/.f64 -1/2 (.f64 F F)))
(-.f64 (/.f64 (/.f64 -1 F) F) (-.f64 0 (/.f64 2 (*.f64 F F))))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 2 (*.f64 F F)) -1))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 2 (.f64 F F)) (/.f64 1 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(-.f64 (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(-.f64 (/.f64 0 F) (/.f64 (/.f64 -1 F) F))
(/.f64 (-.f64 0 (/.f64 -1 F)) F)
(/.f64 (neg.f64 (/.f64 -1 F)) F)
(-.f64 (*.f64 0 (/.f64 1 F)) (/.f64 (/.f64 -1 F) F))
(/.f64 (-.f64 0 (/.f64 -1 F)) F)
(/.f64 (neg.f64 (/.f64 -1 F)) F)
(-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(/.f64 1 (*.f64 F F))
(-.f64 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 2 (*.f64 F F)))
(-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F)))
(-.f64 (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 2 (*.f64 F F))))
(/.f64 1 (*.f64 F F))
(-.f64 (-.f64 0 (/.f64 0 F)) (/.f64 (/.f64 -1 F) F))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (-.f64 0 (*.f64 0 (/.f64 1 F))) (/.f64 (/.f64 -1 F) F))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (/.f64 0 F)) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (.f64 0 (/.f64 1 F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (*.f64 F F))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 0 F))
(-.f64 (-.f64 (+.f64 (/.f64 2 (.f64 F F)) (/.f64 2 (.f64 F F))) (-.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F))) (+.f64 (/.f64 1 (.f64 F F)) (/.f64 2 (.f64 F F))))
(-.f64 (/.f64 1 (*.f64 F F)) (/.f64 (-.f64 (/.f64 -1 F) (/.f64 -1 F)) F))
(-.f64 (+.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1 (.f64 F F))) (/.f64 1/2 (*.f64 F F)))
(+.f64 (/.f64 0 (.f64 F F)) (/.f64 1 (.f64 F F)))
(-.f64 (/.f64 0 (neg.f64 F)) (/.f64 (/.f64 -1 F) F))
(-.f64 (/.f64 0 (neg.f64 F)) (/.f64 -1 (*.f64 F F)))
(.f64 1 (/.f64 1 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 1 (.f64 F F)) 1)
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 1 F) (/.f64 1 F))
(/.f64 1 (*.f64 F F))
(.f64 2 (/.f64 1/2 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(.f64 1/2 (/.f64 2 (.f64 F F)))
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 1/2 (.f64 F F)) 2)
(/.f64 1 (*.f64 F F))
(*.f64 -1 (/.f64 (/.f64 -1 F) F))
(/.f64 1 (*.f64 F F))
(.f64 -1 (.f64 2 (neg.f64 (/.f64 1/2 (*.f64 F F)))))
(/.f64 1 (*.f64 F F))
(.f64 -1 (.f64 2 (/.f64 1/2 (*.f64 F (neg.f64 F)))))
(/.f64 1 (*.f64 F F))
(.f64 -1 (.f64 (/.f64 1 F) (/.f64 -1 F)))
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 (/.f64 -1 F) F) -1)
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 1/2 F) (/.f64 2 F))
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 1/2 F) (.f64 2 (/.f64 1 F)))
(/.f64 1 (*.f64 F F))
(.f64 -1/2 (.f64 2 (/.f64 (/.f64 -1 F) F)))
(.f64 -1/2 (.f64 2 (/.f64 -1 (*.f64 F F))))
(*.f64 -1/2 (/.f64 2 (/.f64 F (/.f64 -1 F))))
(*.f64 (/.f64 -1 F) (/.f64 -1 F))
(/.f64 1 (*.f64 F F))
(.f64 (/.f64 2 (.f64 F F)) 1/2)
(/.f64 1 (*.f64 F F))
(*.f64 (/.f64 2 F) (/.f64 1/2 F))
(/.f64 1 (*.f64 F F))
(*.f64 4 (/.f64 (/.f64 1/2 F) (+.f64 F F)))
(.f64 4 (/.f64 1/2 (.f64 F (+.f64 F F))))
(.f64 4 (.f64 1 (/.f64 (/.f64 1/2 F) (+.f64 F F))))
(.f64 4 (/.f64 1/2 (.f64 F (+.f64 F F))))
(*.f64 4 (/.f64 (/.f64 1/2 F) (+.f64 F F)))
(.f64 -2 (neg.f64 (/.f64 1/2 (.f64 F F))))
(/.f64 1 (*.f64 F F))
(.f64 -2 (/.f64 1/2 (.f64 F (neg.f64 F))))
(/.f64 1 (*.f64 F F))
(.f64 -2 (.f64 1 (neg.f64 (/.f64 1/2 (*.f64 F F)))))
(/.f64 1 (*.f64 F F))
(.f64 -2 (.f64 1 (/.f64 1/2 (*.f64 F (neg.f64 F)))))
(/.f64 1 (*.f64 F F))
(.f64 -2 (.f64 (/.f64 1 F) (/.f64 1/2 (neg.f64 F))))
(/.f64 1 (*.f64 F F))
(*.f64 (+.f64 (/.f64 (/.f64 -1 F) F) (/.f64 (/.f64 -1 F) F)) -1/2)
(*.f64 -1/2 (/.f64 (/.f64 -2 F) F))
(.f64 -1/2 (/.f64 -2 (.f64 F F)))
(*.f64 (+.f64 (/.f64 -1 F) (/.f64 -1 F)) (/.f64 1/2 (neg.f64 F)))
(/.f64 1 (*.f64 F F))
(.f64 (+.f64 (/.f64 -1 F) (/.f64 -1 F)) (.f64 1 (/.f64 1/2 (neg.f64 F))))
(/.f64 1 (*.f64 F F))
(*.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (/.f64 1 F))
(/.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))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.2b	(*.f64 (PI.f64) l)
✓	4.2b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series3.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1200×	`rational.json-simplify-3`
1054×	`rational.json-simplify-12`
948×	`rational.json-simplify-2`
932×	`rational.json-simplify-13`
780×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	64
1	73	64
2	273	64
3	1487	64

Stop Event

1×	node limit

Counts

2 → 198

Calls

Call 1

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

Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (+.f64 (*.f64 (PI.f64) (+.f64 l l)) (*.f64 (PI.f64) (+.f64 l l))) (*.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2)) (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l l))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (*.f64 (PI.f64) l) (-.f64 (*.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (+.f64 (*.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (*.f64 (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (+.f64 (+.f64 (*.f64 (PI.f64) (+.f64 l l)) (*.f64 (PI.f64) (+.f64 l l))) (+.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (+.f64 l l))))) (+.f64 (+.f64 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simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational.json-simplify-13`
938×	`rational.json-simplify-3`
856×	`rational.json-simplify-12`
802×	`rational.json-simplify-2`
724×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	492	11068
1	1643	10032
2	7714	10032

Stop Event

1×	node limit

Counts

246 → 254

Calls

Call 1

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

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

eval480.0ms (2.3%)

Compiler: Compiled 43059 to 17475 computations (59.4% saved)

prune715.0ms (3.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1707	20	1727
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	1708	21	1729

Error

0.4b

Counts

1729 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	17.4b	(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	17.7b	(-.f64 (/.f64 (-.f64 (+.f64 l (+.f64 l (+.f64 l l))) (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.4b	(-.f64 (/.f64 (PI.f64) (/.f64 1 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.5b	(-.f64 (/.f64 1/2 (/.f64 (/.f64 1 (.f64 (PI.f64) 2)) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.9b	(-.f64 (-.f64 (/.f64 (+.f64 l (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64))) (/.f64 (+.f64 l (+.f64 l l)) (/.f64 1 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.7b	(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	17.7b	(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))) (.f64 (PI.f64) (+.f64 l l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (/.f64 F (/.f64 2 F))))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (.f64 F (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 -1 F)) (neg.f64 F)))
	23.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 -1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))))
	23.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
▶	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))
▶	23.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
	23.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
▶	14.5b	(*.f64 l (PI.f64))

Compiler

Compiled 756 to 460 computations (39.2% saved)

localize15.0ms (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))))
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1402×	`rational.json-simplify-6`
1266×	`rational.json-simplify-29`
990×	`rational.json-simplify-3`
812×	`rational.json-1`
812×	`rational.json-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	86	44
2	349	44
3	2169	44

Stop Event

1×	node limit

Counts

2 → 263

Calls

Call 1

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

Outputs

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

simplify149.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

900×	`rational.json-simplify-2`
794×	`rational.json-simplify-3`
694×	`rational.json-simplify-1`
612×	`rational.json-simplify-12`
578×	`rational.json-simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	598	10773
1	1807	10181

Stop Event

1×	node limit

Counts

311 → 322

Calls

Call 1

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

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

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 l (PI.f64))

Compiler

Compiled 7 to 4 computations (42.9% saved)

series0.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1554×	`rational.json-1`
1554×	`rational.json-2`
1554×	`rational.json-3`
1526×	`rational.json-4`
714×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	33	9
2	102	9
3	474	9
4	3629	9
5	6691	9

Stop Event

1×	node limit

Counts

1 → 123

Calls

Call 1

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

Outputs

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simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-1`
1218×	`rational.json-simplify-35`
1182×	`rational.json-simplify-29`
1098×	`rational.json-simplify-33`
458×	`rational.json-simplify-63`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	263	1343
1	934	1239
2	4409	1239

Stop Event

1×	node limit

Counts

123 → 132

Calls

Call 1

Inputs
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(-.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64))) (+.f64 (*.f64 (PI.f64) (neg.f64 l)) (/.f64 (+.f64 l l) (/.f64 -1 (PI.f64)))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64))) (+.f64 (.f64 (PI.f64) (neg.f64 l)) (/.f64 (.f64 (PI.f64) 2) (/.f64 -1 l))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64))) (+.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 (PI.f64) (-.f64 (neg.f64 l) l))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64))) (+.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (/.f64 (neg.f64 (PI.f64)) 1/2))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64))) (+.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 -1 (*.f64 (PI.f64) (+.f64 l l)))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
(-.f64 (-.f64 (.f64 (PI.f64) (+.f64 l l)) (neg.f64 (.f64 (PI.f64) (+.f64 l l)))) (.f64 (PI.f64) (.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (-.f64 l l) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (.f64 (PI.f64) (.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (.f64 (PI.f64) (*.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (.f64 (.f64 (PI.f64) 2) 2)) (.f64 (PI.f64) (*.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) (+.f64 l (.f64 l 3))) (.f64 (PI.f64) (.f64 l 3)))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (PI.f64) (.f64 l 3)) (.f64 (PI.f64) (.f64 l 3))) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (*.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 l (.f64 (PI.f64) 0)) (.f64 l (.f64 (PI.f64) 0))) (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 0 (-.f64 l (PI.f64)))) (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (-.f64 (.f64 (PI.f64) (+.f64 l l)) (neg.f64 (.f64 (PI.f64) (+.f64 l l)))) (-.f64 (.f64 (PI.f64) (+.f64 l l)) (neg.f64 (.f64 (PI.f64) (+.f64 l l))))) (+.f64 (-.f64 (.f64 (PI.f64) (+.f64 l l)) (neg.f64 (.f64 (PI.f64) (+.f64 l l)))) (.f64 (PI.f64) (.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (+.f64 (-.f64 l l) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (-.f64 l l) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2))) (+.f64 (+.f64 (-.f64 l l) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (.f64 (PI.f64) (.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (PI.f64) 0) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2))) (+.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (.f64 (PI.f64) (*.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 l (.f64 (.f64 (PI.f64) 2) 2)) (.f64 l (.f64 (.f64 (PI.f64) 2) 2))) (+.f64 (.f64 l (.f64 (.f64 (PI.f64) 2) 2)) (.f64 (PI.f64) (*.f64 l 3))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l (.f64 l 3))) (.f64 (PI.f64) (+.f64 l (.f64 l 3)))) (+.f64 (.f64 (PI.f64) (+.f64 l (.f64 l 3))) (.f64 (PI.f64) (.f64 l 3))))
(-.f64 (.f64 (PI.f64) (+.f64 l (.f64 l 3))) (.f64 (PI.f64) (.f64 l 3)))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(-.f64 (+.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 1/2 (.f64 (PI.f64) (.f64 l 3)))) (+.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2))) (+.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))))
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 l (PI.f64))
(/.f64 (*.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(/.f64 -1 (/.f64 1 (*.f64 (PI.f64) (neg.f64 l))))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) (neg.f64 l)) -1)
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (/.f64 -1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 l) (-.f64 (/.f64 1 (PI.f64)) (/.f64 (/.f64 1 (PI.f64)) 1/2)))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (/.f64 -1 l))
(*.f64 l (PI.f64))
(/.f64 (neg.f64 (PI.f64)) (-.f64 (/.f64 1 l) (/.f64 (/.f64 1 l) 1/2)))
(*.f64 l (PI.f64))
(/.f64 (+.f64 l l) (/.f64 (/.f64 1 (PI.f64)) 1/2))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) 2) (/.f64 (/.f64 1 l) 1/2))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 (/.f64 1 (PI.f64)) (+.f64 l l)))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 (/.f64 1 l) (*.f64 (PI.f64) 2)))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 1 (*.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(/.f64 1/2 (/.f64 -1 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(/.f64 (*.f64 (PI.f64) 1/2) (/.f64 1/2 l))
(*.f64 l (PI.f64))
(/.f64 (*.f64 l 1/2) (/.f64 1/2 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (*.f64 l 3) (-.f64 (+.f64 l l) (-.f64 (neg.f64 l) l))) (/.f64 -1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(.f64 (+.f64 (.f64 l 3) (-.f64 (+.f64 l (.f64 l 3)) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (*.f64 l 3))))) (neg.f64 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 (PI.f64) 3) (-.f64 (.f64 (PI.f64) 2) (/.f64 (neg.f64 (PI.f64)) 1/2))) (/.f64 -1 l))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (.f64 (PI.f64) 1/2) (.f64 1/2 (*.f64 (PI.f64) 3))) (/.f64 -1 l))
(*.f64 l (PI.f64))
(/.f64 (-.f64 (+.f64 (.f64 (.f64 (PI.f64) 2) 2) (.f64 (PI.f64) 3)) (+.f64 (.f64 (.f64 (PI.f64) 2) 2) (.f64 (*.f64 (PI.f64) 2) 2))) (/.f64 -1 l))
(.f64 (-.f64 (+.f64 (.f64 2 (.f64 (PI.f64) 2)) (.f64 (PI.f64) 3)) (+.f64 (.f64 2 (.f64 (PI.f64) 2)) (.f64 2 (.f64 (PI.f64) 2)))) (neg.f64 l))
(/.f64 (-.f64 (.f64 (PI.f64) 4) (.f64 (PI.f64) 3)) (/.f64 1 l))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (*.f64 l 3)))) (/.f64 (PI.f64) 1))
(.f64 (PI.f64) (-.f64 (.f64 l -3) (+.f64 (neg.f64 l) (*.f64 l -3))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (neg.f64 (*.f64 l -3))))
(/.f64 (-.f64 (neg.f64 (.f64 (PI.f64) 3)) (neg.f64 (.f64 (*.f64 (PI.f64) 2) 2))) (/.f64 1 l))
(*.f64 l (PI.f64))
(neg.f64 (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (pow.f64 F 2))))
✓	0.2b	(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
	0.2b	(*.f64 (PI.f64) l)
✓	8.3b	(/.f64 l (pow.f64 F 2))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series5.0ms (0%)

Counts

3 → 48

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	l	@	inf	(/.f64 l (pow.f64 F 2))
0.0ms	l	@	inf	(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))
0.0ms	l	@	0	(/.f64 l (pow.f64 F 2))
0.0ms	l	@	-inf	(/.f64 l (pow.f64 F 2))
0.0ms	l	@	0	(*.f64 (PI.f64) (/.f64 l (pow.f64 F 2)))

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1228×	`rational.json-simplify-13`
1148×	`rational.json-simplify-21`
902×	`rational.json-simplify-23`
846×	`rational.json-simplify-24`
716×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	69
1	75	61
2	283	61
3	1669	61

Stop Event

1×	node limit

Counts

3 → 347

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) (/.f64 0 (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) (-.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) (*.f64 l (/.f64 0 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) (neg.f64 (/.f64 0 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l (pow.f64 F 2)) (*.f64 1 (neg.f64 (/.f64 0 (pow.f64 F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 (pow.f64 F 2)) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (neg.f64 l) (pow.f64 F 2)) (*.f64 2 (/.f64 l (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 l l) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 0 (pow.f64 F 2))) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (/.f64 l (pow.f64 F 2))) (/.f64 (neg.f64 l) (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 l (/.f64 1/2 (pow.f64 F 2))) (*.f64 l (/.f64 1/2 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 0 (pow.f64 F 2))) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (+.f64 l l)) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l 1/2) (/.f64 1 (pow.f64 F 2))) (*.f64 l (/.f64 1/2 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (pow.f64 F 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (pow.f64 F 2)) (/.f64 0 (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (pow.f64 F 2)) (-.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (pow.f64 F 2)) (*.f64 l (/.f64 0 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 l (pow.f64 F 2)) (neg.f64 (/.f64 0 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (neg.f64 l) (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (pow.f64 F 2)) (/.f64 (neg.f64 l) (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 l) (pow.f64 F 2)) (/.f64 (*.f64 2 (/.f64 l (pow.f64 F 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (neg.f64 l) (pow.f64 F 2)) (/.f64 (+.f64 l l) (neg.f64 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 2 (/.f64 l (pow.f64 F 2))) (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 2 (/.f64 l (pow.f64 F 2))) (*.f64 2 (/.f64 l (pow.f64 F 2)))) (+.f64 (/.f64 l (pow.f64 F 2)) (*.f64 2 (/.f64 l (pow.f64 F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 l (+.f64 l l)) (*.f64 (pow.f64 F 2) 2)) (*.f64 l (/.f64 1/2 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (/.f64 (pow.f64 F 2) -1/2)) (/.f64 (+.f64 l l) (/.f64 (pow.f64 F 2) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (+.f64 l l) (+.f64 l l)) (pow.f64 F 2)) (/.f64 (+.f64 l (+.f64 l l)) (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (/.f64 1 (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 l (/.f64 1/2 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l (pow.f64 F 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 l (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l l) (/.f64 1/2 (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (/.f64 l (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 F 2)) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 F 2)) (/.f64 l 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 F 2)) (*.f64 1/2 (+.f64 (+.f64 l l) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 F 2)) (/.f64 (/.f64 l -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 F 2)) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (neg.f64 l) (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (+.f64 l l) (neg.f64 (/.f64 1/2 (pow.f64 F 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 1 (neg.f64 (pow.f64 F 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 -1 (pow.f64 F 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 l) (pow.f64 F 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 F 2)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (/.f64 1 (pow.f64 F 2)) (neg.f64 (+.f64 l l))))))) (#(struct:change #<rule 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simplify184.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1016×	`rational.json-simplify-13`
920×	`rational.json-simplify-24`
696×	`rational.json-simplify-3`
662×	`rational.json-simplify-12`
604×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	688	13923
1	2671	13211

Stop Event

1×	node limit

Counts

395 → 503

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

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

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 F)) (neg.f64 F))
	0.2b	(*.f64 (PI.f64) l)
✓	0.4b	(.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 -1 F))
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 52 to 21 computations (59.6% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational.json-simplify-29`
1120×	`rational.json-simplify-3`
930×	`rational.json-simplify-37`
900×	`rational.json-simplify-12`
832×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	89	56
2	338	48
3	2122	48

Stop Event

1×	node limit

Counts

2 → 343

Calls

Call 1

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

Outputs

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

simplify124.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

954×	`rational.json-simplify-3`
810×	`rational.json-simplify-1`
794×	`rational.json-simplify-12`
788×	`rational.json-simplify-24`
664×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	736	12271
1	2223	11651

Stop Event

1×	node limit

Counts

391 → 388

Calls

Call 1

Inputs
(.f64 -1 (/.f64 (.f64 l (PI.f64)) F))
(+.f64 (.f64 -1 (.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 -1 (/.f64 (.f64 l (PI.f64)) F)))
(+.f64 (.f64 -1 (.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 -1 (/.f64 (.f64 l (PI.f64)) F)) (.f64 -1 (.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 -1 (.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 -1 (/.f64 (.f64 l (PI.f64)) F)) (+.f64 (.f64 -1 (.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 -1 (.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 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
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(neg.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 -1 F)))

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

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)))
	0.2b	(*.f64 (PI.f64) l)
✓	0.4b	(.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 69 to 36 computations (47.8% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
4.0ms	l	@	0	(.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
1.0ms	l	@	0	(.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)))
0.0ms	F	@	0	(.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
0.0ms	l	@	inf	(.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))
0.0ms	l	@	-inf	(.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1500×	`rational.json-simplify-29`
974×	`rational.json-simplify-14`
936×	`rational.json-simplify-28`
900×	`rational.json-simplify-21`
794×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	74
1	98	62
2	295	50
3	1757	50

Stop Event

1×	node limit

Counts

2 → 385

Calls

Call 1

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

Outputs

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simplify145.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational.json-simplify-28`
1196×	`rational.json-simplify-13`
1030×	`rational.json-simplify-24`
884×	`rational.json-simplify-27`
854×	`rational.json-simplify-14`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	814	16833
1	3048	16355

Stop Event

1×	node limit

Counts

433 → 455

Calls

Call 1

Inputs
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(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (.f64 l (PI.f64)) F))
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(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(.f64 2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
(/.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)))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
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(/.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)))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))
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(/.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)))
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(/.f64 (/.f64 -1/2 F) (.f64 (neg.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) F))
(/.f64 (/.f64 -1/2 F) (.f64 1 (neg.f64 (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) -2) (*.f64 (neg.f64 F) (+.f64 F F)))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) -2) (.f64 -1 (.f64 F (+.f64 F F))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) -2) (neg.f64 (*.f64 F (+.f64 F F))))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/2 F)) (/.f64 F 2))
(/.f64 (/.f64 (/.f64 1 F) F) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 1/2 (.f64 F F)) (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 -1/2 (.f64 (neg.f64 F) (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
(/.f64 -1/2 (.f64 (.f64 (neg.f64 F) (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) F))
(/.f64 -1/2 (.f64 (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (neg.f64 F)))
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 2 F)) 2)
(/.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 4) (*.f64 F 4))
(/.f64 (/.f64 2 F) (.f64 (/.f64 1 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F)))
(/.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4) (*.f64 (+.f64 F F) (+.f64 F F)))
(/.f64 (/.f64 -1/2 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) (.f64 (neg.f64 F) F))
(/.f64 (/.f64 -1/2 (/.f64 F (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))) (neg.f64 F))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (+.f64 F F))) 1/2)
(/.f64 (.f64 (/.f64 -1/2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (neg.f64 F))
(/.f64 (/.f64 (/.f64 1 F) (/.f64 F -1/2)) (neg.f64 (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 -1 F) (/.f64 1/2 F)) (neg.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) -1/2) 1/2) (neg.f64 F))
(/.f64 (/.f64 1/4 F) (/.f64 F (.f64 (tan.f64 (.f64 (PI.f64) l)) 4)))
(/.f64 (/.f64 1/4 F) (.f64 1/2 (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
(/.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (neg.f64 F))
(/.f64 (/.f64 1/2 (.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))) (/.f64 F 2))
(/.f64 (/.f64 -1 (.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))) (neg.f64 F))
(/.f64 (/.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) F)
(/.f64 (/.f64 1/2 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 F 2))
(/.f64 (/.f64 (/.f64 1/2 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1/2)
(/.f64 (/.f64 -1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 F))
(/.f64 (/.f64 (/.f64 -1/2 F) F) (neg.f64 (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 -1/2 (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l)))) F) (neg.f64 F))
(/.f64 (/.f64 (.f64 (/.f64 -1/2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) F) -1)
(/.f64 (/.f64 (.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) -1/2) 1/2) F) -1)
(/.f64 (/.f64 (.f64 (/.f64 -1 F) (/.f64 1/2 F)) (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))) -1)
(/.f64 (-.f64 (/.f64 0 F) (/.f64 1 F)) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))))
(/.f64 (-.f64 (/.f64 0 F) (/.f64 1 F)) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) 3/2)) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 (*.f64 (PI.f64) l))) (+.f64 F F))))
(/.f64 (-.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) 3/2)) (neg.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (-.f64 (.f64 (/.f64 2 F) 3/2) (.f64 2 (/.f64 2 F))) (neg.f64 (.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l))) (+.f64 F F))))
(/.f64 (-.f64 (.f64 (/.f64 2 F) 3/2) (.f64 2 (/.f64 2 F))) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 0) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (neg.f64 (*.f64 F (+.f64 F F))))
(/.f64 (-.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (neg.f64 (.f64 F (+.f64 F F))))
(/.f64 (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 6) (.f64 2 (.f64 (tan.f64 (.f64 (PI.f64) l)) 4))) (neg.f64 (.f64 F (+.f64 F F))))
(/.f64 (-.f64 (/.f64 0 F) (/.f64 1/2 F)) (neg.f64 (/.f64 F (.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))
(/.f64 (-.f64 (.f64 (/.f64 1 F) 3/2) (/.f64 2 F)) (neg.f64 (/.f64 F (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
(/.f64 (-.f64 (.f64 (/.f64 -1/2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (/.f64 0 F)) (neg.f64 F))
(/.f64 (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 0 F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 F))) (/.f64 F -1/2))
(/.f64 (-.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) -1/2) (.f64 0 (/.f64 -1 F))) (/.f64 F -1/2))
(/.f64 (-.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) -1/2) (.f64 0 (.f64 (tan.f64 (.f64 (PI.f64) l)) -2))) (/.f64 F -1/2))
(/.f64 (-.f64 (.f64 (/.f64 1 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) 6)) (.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 4) 2)) (/.f64 F -1/2))
(/.f64 (-.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 0) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1)
(/.f64 (-.f64 (.f64 (/.f64 1 F) (/.f64 0 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1)
(/.f64 (-.f64 (.f64 (/.f64 1/2 F) (/.f64 0 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1)
(/.f64 (-.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)) (.f64 0 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) -1/2))) -1)
(/.f64 (-.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 3) (.f64 (/.f64 1 F) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 4))) -1)
(/.f64 (-.f64 0 (/.f64 1/2 (.f64 F F))) (neg.f64 (/.f64 1/2 (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 F -1/2)) -1/2)
(/.f64 (/.f64 (/.f64 1/2 (.f64 F F)) 2) (/.f64 1/4 (tan.f64 (.f64 (PI.f64) l))))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 F))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F))) -1)
(neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))

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

eval1.8s (8.6%)

Compiler: Compiled 87807 to 42245 computations (51.9% saved)

prune2.4s (11.3%)

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	3585	28	3613
Fresh	13	2	15
Picked	1	0	1
Done	2	3	5
Total	3601	33	3634

Error

0.3b

Counts

3634 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
▶	14.9b	(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
	14.9b	(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
	14.9b	(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
	14.6b	(/.f64 (PI.f64) (/.f64 1 l))
▶	14.6b	(/.f64 l (/.f64 1 (PI.f64)))
	14.6b	(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
	14.7b	(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
	14.7b	(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
	15.2b	(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
▶	15.1b	(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (neg.f64 F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) -2) (tan.f64 (.f64 l (PI.f64)))) F) (.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (neg.f64 F)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 -1 (*.f64 (PI.f64) (/.f64 l F))) (neg.f64 F)))
✓	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))
	17.5b	(-.f64 (.f64 (PI.f64) l) (-.f64 (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (.f64 (/.f64 1 F) 4)) (.f64 3 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
	17.6b	(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 2 F))) (.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (*.f64 F F)))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/2 F))))
	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 2 (.f64 (PI.f64) (/.f64 l F)))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))
	14.8b	(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
	23.9b	(+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 1/2 (-.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (pow.f64 F 2)))) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (pow.f64 F 2))))))))
	23.6b	(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
	23.9b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
	14.9b	(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
	53.9b	(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
✓	14.5b	(*.f64 l (PI.f64))
	53.7b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 1011 to 702 computations (30.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational.json-simplify-13`
872×	`rational.json-simplify-6`
768×	`rational.json-simplify-4`
726×	`rational.json-simplify-3`
668×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	66	44
2	240	44
3	1278	44

Stop Event

1×	node limit

Counts

2 → 184

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 0 F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 0 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 (/.f64 0 F) (/.f64 0 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 (/.f64 0 F) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (+.f64 (/.f64 0 F) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (-.f64 (/.f64 0 F) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 0 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) 0) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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simplify108.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1686×	`rational.json-simplify-21`
1470×	`rational.json-simplify-23`
1158×	`rational.json-simplify-1`
1100×	`rational.json-simplify-35`
458×	`rational.json-simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	7540
1	1240	7086
2	4697	7048

Stop Event

1×	node limit

Counts

232 → 225

Calls

Call 1

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

Outputs
(/.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 (.f64 -1/6 (pow.f64 (PI.f64) 3)) F) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/2) F)) (pow.f64 l 3)))
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(.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (.f64 (/.f64 1/2 F) (/.f64 1/2 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (.f64 (/.f64 1 F) (*.f64 1/2 (/.f64 1/2 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (.f64 (/.f64 1/2 (*.f64 F F)) 1/2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) (.f64 1/2 (/.f64 1/2 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) (.f64 1 (*.f64 1/2 (/.f64 1/2 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) (.f64 (/.f64 1/2 F) 1/2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2) (.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) (-.f64 (/.f64 1/2 F) (.f64 1/2 (/.f64 1/2 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1/2 (.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l))) (.f64 1 (/.f64 1/2 (*.f64 F (neg.f64 F)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (tan.f64 (.f64 (PI.f64) l))) (.f64 (/.f64 1 F) (neg.f64 (/.f64 1/2 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 (/.f64 1/2 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 1 (neg.f64 (/.f64 1/2 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (.f64 (/.f64 1 F) -1/2))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1/2)
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 l (/.f64 1 (PI.f64)))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-1`
1608×	`rational.json-2`
728×	`rational.json-simplify-13`
572×	`rational.json-simplify-5`
534×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	52	9
2	189	9
3	966	9
4	7249	9

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 l 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (neg.f64 (PI.f64))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 l l) (*.f64 (PI.f64) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (*.f64 (PI.f64) 2) (/.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 l (PI.f64)) (*.f64 (PI.f64) (*.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (-.f64 l l) (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 l -1/2) (/.f64 1 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 (PI.f64) -1/2) (/.f64 1 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (PI.f64) (/.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 (+.f64 l l) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) 2) (*.f64 l 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (+.f64 l l)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l 1/2) (*.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (PI.f64)) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) -1/2) (/.f64 l -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) -1/2) (*.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l -2) (/.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l -2) (-.f64 (PI.f64) (*.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 1/4) (/.f64 1/2 (/.f64 2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l -1/2) (/.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 l -1/2) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) -2) (/.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) -2) (/.f64 -1 (/.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 4) (+.f64 l (*.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (PI.f64) 4) (/.f64 2 (/.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (*.f64 (PI.f64) 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l (*.f64 l 3)) (/.f64 (PI.f64) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l (*.f64 l 3)) (*.f64 (*.f64 (PI.f64) 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 l (*.f64 l 3)) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 l l) (*.f64 (PI.f64) 2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 l -1/2) (/.f64 l -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (PI.f64) 2)) (/.f64 l -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 l (neg.f64 (PI.f64))))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-42`
1148×	`rational.json-simplify-35`
1052×	`rational.json-simplify-1`
876×	`rational.json-simplify-21`
850×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	1672
1	852	1536
2	3632	1518

Stop Event

1×	node limit

Counts

140 → 136

Calls

Call 1

Inputs
(*.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 (*.f64 l (PI.f64)) 0)
(+.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) 0))
(+.f64 (*.f64 l (PI.f64)) (-.f64 l l))
(+.f64 (.f64 l (PI.f64)) (.f64 0 (-.f64 l (PI.f64))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)))
(+.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (PI.f64) 0)))
(+.f64 (.f64 l (PI.f64)) (+.f64 0 (.f64 0 (-.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 0 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (*.f64 0 (-.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (+.f64 (*.f64 (PI.f64) 0) (-.f64 l l))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (-.f64 l l) (.f64 0 (-.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (-.f64 l l) (+.f64 (.f64 (PI.f64) 0) (-.f64 l l))))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (-.f64 l l)))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (-.f64 l l)))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 l (.f64 (PI.f64) 0))))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (.f64 l (.f64 (PI.f64) 0))))
(+.f64 (.f64 l (PI.f64)) (.f64 1 (*.f64 0 (-.f64 l (PI.f64)))))
(+.f64 (.f64 l (PI.f64)) (.f64 1 (+.f64 (*.f64 (PI.f64) 0) (-.f64 l l))))
(+.f64 0 (*.f64 l (PI.f64)))
(+.f64 (.f64 (PI.f64) 0) (.f64 l (PI.f64)))
(+.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (+.f64 l l)))
(+.f64 (-.f64 l l) (*.f64 l (PI.f64)))
(+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 l (neg.f64 (PI.f64))))
(+.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 l (PI.f64)))
(+.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (.f64 l (PI.f64)))
(+.f64 (.f64 l (.f64 (PI.f64) 0)) (*.f64 l (PI.f64)))
(+.f64 (.f64 l (.f64 (PI.f64) 1/2)) (.f64 l (.f64 (PI.f64) 1/2)))
(+.f64 (.f64 l (.f64 (PI.f64) 1/2)) (+.f64 0 (.f64 l (.f64 (PI.f64) 1/2))))
(+.f64 (.f64 l (.f64 (PI.f64) 1/2)) (.f64 (.f64 l 1/2) (PI.f64)))
(+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (-.f64 0 (.f64 (PI.f64) (.f64 l 3))))
(+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (-.f64 (.f64 (PI.f64) 0) (.f64 (PI.f64) (*.f64 l 3))))
(+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (-.f64 (-.f64 l l) (.f64 (PI.f64) (.f64 l 3))))
(+.f64 (.f64 (.f64 l 1/2) (PI.f64)) (.f64 l (.f64 (PI.f64) 1/2)))
(+.f64 (.f64 (.f64 l (PI.f64)) 1/2) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (*.f64 l (PI.f64)) 0)
(-.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) 0))
(-.f64 (*.f64 l (PI.f64)) (-.f64 l l))
(-.f64 (.f64 l (PI.f64)) (.f64 0 (-.f64 l (PI.f64))))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)))
(-.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (PI.f64) 0)))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (.f64 (PI.f64) 0)) (.f64 (PI.f64) 0)))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (*.f64 (PI.f64) 0)) (-.f64 l l)))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (.f64 (PI.f64) 0)) (.f64 l (*.f64 (PI.f64) 0))))
(-.f64 0 (*.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (PI.f64) 0) (.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 0 (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 (.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 (-.f64 l l) (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (+.f64 l l)))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (.f64 (PI.f64) (+.f64 l l)) -1))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (.f64 (PI.f64) 2) (/.f64 -1 l)))
(-.f64 (*.f64 l (neg.f64 (PI.f64))) (/.f64 (+.f64 l l) (/.f64 -1 (PI.f64))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (neg.f64 l) (*.f64 (PI.f64) 2)))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 -1 (*.f64 (PI.f64) (+.f64 l l))))
(-.f64 (-.f64 l l) (*.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 l (PI.f64)))
(-.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 l (neg.f64 (PI.f64))))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 l (.f64 (PI.f64) 0)) (*.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (-.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 l (.f64 (PI.f64) 0))) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (+.f64 (-.f64 l l) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (/.f64 (.f64 l 3) (/.f64 2 (PI.f64))) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (.f64 (PI.f64) 3) (/.f64 2 l)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l 3)) 2) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 0 (/.f64 l -1/2)) (.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (.f64 (+.f64 l (.f64 l 3)) (PI.f64)) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 l 3)) 1/2) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (.f64 l 3) (.f64 (PI.f64) 1/2)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (.f64 (PI.f64) 0) -1) (*.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (-.f64 l l) -1) (.f64 l (neg.f64 (PI.f64))))
(-.f64 (.f64 (.f64 (PI.f64) 3) (.f64 l 1/2)) (.f64 (*.f64 l 1/2) (PI.f64)))
(-.f64 (+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 l 3))))
(*.f64 l (PI.f64))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 (PI.f64) l)
(.f64 (.f64 l (PI.f64)) 1)
(.f64 2 (.f64 l (*.f64 (PI.f64) 1/2)))
(.f64 1/2 (.f64 (PI.f64) (+.f64 l l)))
(.f64 (+.f64 l l) (.f64 (PI.f64) 1/2))
(.f64 (.f64 (PI.f64) 1/2) (+.f64 l l))
(.f64 (.f64 (PI.f64) 1/2) (/.f64 1/2 (/.f64 1/2 (+.f64 l l))))
(.f64 -1 (.f64 l (neg.f64 (PI.f64))))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 (neg.f64 l) (/.f64 1/2 (neg.f64 (/.f64 1/2 (PI.f64)))))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 l 1/2) -1/2))
(.f64 (.f64 l (neg.f64 (PI.f64))) -1)
(.f64 1/4 (.f64 (+.f64 l l) (*.f64 (PI.f64) 2)))
(.f64 1/4 (/.f64 (.f64 (PI.f64) 2) (/.f64 1/2 l)))
(.f64 -1/2 (-.f64 (.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))))
(.f64 -1/2 (-.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) (.f64 l 3))))
(.f64 -1/2 (-.f64 0 (.f64 (PI.f64) (+.f64 l l))))
(.f64 -1/2 (-.f64 (.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))
(.f64 -1/2 (-.f64 (-.f64 l l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 -1/2 (/.f64 (/.f64 l -1/2) (/.f64 1 (PI.f64))))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) -1/2) (/.f64 1 l)))
(.f64 -1/2 (.f64 (PI.f64) (/.f64 l -1/2)))
(.f64 -1/2 (.f64 (+.f64 l l) (neg.f64 (PI.f64))))
(.f64 (.f64 (PI.f64) 2) (*.f64 l 1/2))
(.f64 (.f64 (PI.f64) (+.f64 l l)) 1/2)
(.f64 (.f64 l 1/2) (*.f64 (PI.f64) 2))
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (PI.f64)) l)))
(*.f64 (/.f64 (PI.f64) -1/2) (/.f64 l -2))
(.f64 (/.f64 (PI.f64) -1/2) (.f64 l -1/2))
(*.f64 (/.f64 l -2) (/.f64 (PI.f64) -1/2))
(.f64 (/.f64 l -2) (-.f64 (PI.f64) (.f64 (PI.f64) 3)))
(*.f64 (/.f64 (PI.f64) 1/4) (/.f64 1/2 (/.f64 2 l)))
(*.f64 (/.f64 l -1/2) (/.f64 (PI.f64) -2))
(.f64 (/.f64 l -1/2) (.f64 (PI.f64) -1/2))
(*.f64 (/.f64 (PI.f64) -2) (/.f64 l -1/2))
(*.f64 (/.f64 (PI.f64) -2) (/.f64 -1 (/.f64 1/2 l)))
(.f64 (/.f64 (PI.f64) 4) (+.f64 l (.f64 l 3)))
(*.f64 (/.f64 (PI.f64) 4) (/.f64 2 (/.f64 1/2 l)))
(.f64 (.f64 l (*.f64 (PI.f64) 1/2)) 2)
(.f64 (+.f64 l (.f64 l 3)) (/.f64 (PI.f64) 4))
(.f64 (+.f64 l (.f64 l 3)) (.f64 (.f64 (PI.f64) 1/2) 1/2))
(.f64 (+.f64 l (.f64 l 3)) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))) -1/2)
(.f64 (.f64 (+.f64 l l) (*.f64 (PI.f64) 2)) 1/4)
(*.f64 (+.f64 (/.f64 l -1/2) (/.f64 l -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 (PI.f64)))))
(.f64 (neg.f64 (.f64 (PI.f64) 2)) (/.f64 l -2))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))

Outputs
(*.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 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) 0))
(*.f64 l (PI.f64))
(+.f64 (*.f64 l (PI.f64)) (-.f64 l l))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 0 (-.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (PI.f64) 0)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 0 (.f64 0 (-.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 0 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (*.f64 0 (-.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) 0) (+.f64 (*.f64 (PI.f64) 0) (-.f64 l l))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 (-.f64 l l) (.f64 0 (-.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (+.f64 (-.f64 l l) (+.f64 (.f64 (PI.f64) 0) (-.f64 l l))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (*.f64 (PI.f64) 0)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (*.f64 (PI.f64) 0)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (-.f64 l l)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (-.f64 l l)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 l (.f64 (PI.f64) 0))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (.f64 l (.f64 (PI.f64) 0))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 1 (*.f64 0 (-.f64 l (PI.f64)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 1 (+.f64 (*.f64 (PI.f64) 0) (-.f64 l l))))
(*.f64 l (PI.f64))
(+.f64 0 (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(+.f64 (.f64 (PI.f64) 0) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
(+.f64 (.f64 l (.f64 (PI.f64) 0)) (*.f64 l (PI.f64)))
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(*.f64 l (PI.f64))
(-.f64 (*.f64 l (PI.f64)) 0)
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(-.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) 0))
(*.f64 l (PI.f64))
(-.f64 (*.f64 l (PI.f64)) (-.f64 l l))
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(-.f64 (.f64 l (PI.f64)) (.f64 0 (-.f64 l (PI.f64))))
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(*.f64 l (PI.f64))
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(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (.f64 (PI.f64) 0)) (.f64 l (*.f64 (PI.f64) 0))))
(*.f64 l (PI.f64))
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(-.f64 (.f64 (PI.f64) 0) (.f64 l (neg.f64 (PI.f64))))
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(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 0 (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 (.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 (-.f64 l l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (neg.f64 (PI.f64)) (+.f64 l l)))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (.f64 (PI.f64) (+.f64 l l)) -1))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (.f64 (PI.f64) 2) (/.f64 -1 l)))
(*.f64 l (PI.f64))
(-.f64 (*.f64 l (neg.f64 (PI.f64))) (/.f64 (+.f64 l l) (/.f64 -1 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (neg.f64 l) (*.f64 (PI.f64) 2)))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 -1 (*.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(-.f64 (-.f64 l l) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (.f64 0 (-.f64 l (PI.f64))) (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (-.f64 l l)) (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 l (.f64 (PI.f64) 0)) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 l 3)))
(+.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (neg.f64 (.f64 (PI.f64) (.f64 l 3))))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3)))
(-.f64 (-.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 l (.f64 (PI.f64) 0))) (.f64 (PI.f64) (.f64 l 3)))
(+.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (neg.f64 (.f64 (PI.f64) (.f64 l 3))))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3)))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (.f64 (PI.f64) (*.f64 l 3)))
(+.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (neg.f64 (.f64 (PI.f64) (.f64 l 3))))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3)))
(-.f64 (+.f64 (-.f64 l l) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (.f64 (PI.f64) (.f64 l 3)))
(+.f64 (-.f64 l l) (-.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (.f64 (PI.f64) (.f64 l 3))))
(+.f64 (-.f64 l l) (.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3))))
(+.f64 (-.f64 l l) (.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3))))
(-.f64 (/.f64 (.f64 l 3) (/.f64 2 (PI.f64))) (.f64 l (*.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (/.f64 (.f64 (PI.f64) 3) (/.f64 2 l)) (.f64 l (*.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l 3)) 2) (.f64 l (.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (.f64 0 (/.f64 l -1/2)) (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(+.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (neg.f64 (.f64 (PI.f64) (.f64 l 3))))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3)))
(-.f64 (.f64 (+.f64 l (.f64 l 3)) (PI.f64)) (.f64 (PI.f64) (.f64 l 3)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 l 3)) 1/2) (.f64 l (*.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 l 3) (.f64 (PI.f64) 1/2)) (.f64 l (*.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 (PI.f64) 0) -1) (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (-.f64 l l) -1) (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 (PI.f64) 3) (.f64 l 1/2)) (.f64 (*.f64 l 1/2) (PI.f64)))
(*.f64 l (PI.f64))
(-.f64 (+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (+.f64 l l) (.f64 (PI.f64) 2))) (+.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 l 3))))
(+.f64 (.f64 (PI.f64) (.f64 (+.f64 l l) 2)) (neg.f64 (.f64 (PI.f64) (.f64 l 3))))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(.f64 (PI.f64) (-.f64 (.f64 l 4) (*.f64 l 3)))
(*.f64 l (PI.f64))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(.f64 (.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(.f64 2 (.f64 l (*.f64 (PI.f64) 1/2)))
(*.f64 l (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
(.f64 (+.f64 l l) (.f64 (PI.f64) 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 1/2) (+.f64 l l))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 1/2) (/.f64 1/2 (/.f64 1/2 (+.f64 l l))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 l) (/.f64 1/2 (neg.f64 (/.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 l (PI.f64))
(.f64 (neg.f64 (PI.f64)) (/.f64 (.f64 l 1/2) -1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 l (neg.f64 (PI.f64))) -1)
(*.f64 l (PI.f64))
(.f64 1/4 (.f64 (+.f64 l l) (*.f64 (PI.f64) 2)))
(*.f64 l (PI.f64))
(.f64 1/4 (/.f64 (.f64 (PI.f64) 2) (/.f64 1/2 l)))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) (.f64 l 3))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 0 (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (-.f64 l l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(*.f64 -1/2 (/.f64 (/.f64 l -1/2) (/.f64 1 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) -1/2) (/.f64 1 l)))
(*.f64 l (PI.f64))
(.f64 -1/2 (.f64 (PI.f64) (/.f64 l -1/2)))
(*.f64 l (PI.f64))
(.f64 -1/2 (.f64 (+.f64 l l) (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 2) (*.f64 l 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (+.f64 l l)) 1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (*.f64 (PI.f64) 2))
(*.f64 l (PI.f64))
(*.f64 -2 (/.f64 1/2 (/.f64 (/.f64 -1 (PI.f64)) l)))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) -1/2) (/.f64 l -2))
(*.f64 l (PI.f64))
(.f64 (/.f64 (PI.f64) -1/2) (.f64 l -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l -2) (/.f64 (PI.f64) -1/2))
(*.f64 l (PI.f64))
(.f64 (/.f64 l -2) (-.f64 (PI.f64) (.f64 (PI.f64) 3)))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) 1/4) (/.f64 1/2 (/.f64 2 l)))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l -1/2) (/.f64 (PI.f64) -2))
(*.f64 l (PI.f64))
(.f64 (/.f64 l -1/2) (.f64 (PI.f64) -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) -2) (/.f64 l -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) -2) (/.f64 -1 (/.f64 1/2 l)))
(*.f64 l (PI.f64))
(.f64 (/.f64 (PI.f64) 4) (+.f64 l (.f64 l 3)))
(.f64 (+.f64 l (.f64 l 3)) (/.f64 (PI.f64) 4))
(/.f64 (PI.f64) (/.f64 4 (+.f64 l (*.f64 l 3))))
(.f64 (PI.f64) (/.f64 (+.f64 l (.f64 l 3)) 4))
(*.f64 (/.f64 (PI.f64) 4) (/.f64 2 (/.f64 1/2 l)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (*.f64 (PI.f64) 1/2)) 2)
(*.f64 l (PI.f64))
(.f64 (+.f64 l (.f64 l 3)) (/.f64 (PI.f64) 4))
(/.f64 (PI.f64) (/.f64 4 (+.f64 l (*.f64 l 3))))
(.f64 (PI.f64) (/.f64 (+.f64 l (.f64 l 3)) 4))
(.f64 (+.f64 l (.f64 l 3)) (.f64 (.f64 (PI.f64) 1/2) 1/2))
(.f64 (+.f64 l (.f64 l 3)) (/.f64 (PI.f64) 4))
(/.f64 (PI.f64) (/.f64 4 (+.f64 l (*.f64 l 3))))
(.f64 (PI.f64) (/.f64 (+.f64 l (.f64 l 3)) 4))
(.f64 (+.f64 l (.f64 l 3)) (-.f64 (*.f64 (PI.f64) 1/2) (/.f64 (PI.f64) 4)))
(.f64 (+.f64 l (.f64 l 3)) (/.f64 (PI.f64) 4))
(/.f64 (PI.f64) (/.f64 4 (+.f64 l (*.f64 l 3))))
(.f64 (PI.f64) (/.f64 (+.f64 l (.f64 l 3)) 4))
(.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (*.f64 l (PI.f64))) -1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 (+.f64 l l) (*.f64 (PI.f64) 2)) 1/4)
(*.f64 l (PI.f64))
(*.f64 (+.f64 (/.f64 l -1/2) (/.f64 l -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 (neg.f64 (.f64 (PI.f64) 2)) (/.f64 l -2))
(*.f64 l (PI.f64))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
✓	0.6b	(-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3)))

Compiler

Compiled 43 to 33 computations (23.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	l	@	0	(-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3)))
0.0ms	l	@	0	(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
0.0ms	l	@	inf	(-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3)))
0.0ms	l	@	-inf	(-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3)))
0.0ms	l	@	inf	(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

978×	`rational.json-simplify-67`
910×	`rational.json-1`
910×	`rational.json-2`
908×	`rational.json-4`
908×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	52
1	101	26
2	430	14
3	2944	14

Stop Event

1×	node limit

Counts

2 → 212

Calls

Call 1

Inputs
(-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3)))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))

Outputs

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

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1226×	`rational.json-simplify-37`
1152×	`rational.json-simplify-1`
754×	`rational.json-simplify-33`
698×	`rational.json-simplify-24`
556×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	437	3368
1	1353	3008
2	5640	3004

Stop Event

1×	node limit

Counts

236 → 256

Calls

Call 1

Inputs
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.f64 -1 l)
(*.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 l (*.f64 l -2))
(+.f64 (.f64 l 1/2) (.f64 l -3/2))
(+.f64 (.f64 l 1/2) (/.f64 -1 (/.f64 1 (.f64 l 3/2))))
(+.f64 (*.f64 l 1/2) (/.f64 -1 (/.f64 (/.f64 1/3 l) 1/2)))
(+.f64 (.f64 l 1/2) (/.f64 -1 (/.f64 -1 (.f64 l -3/2))))
(+.f64 (neg.f64 l) 0)
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(+.f64 (*.f64 l -3) (+.f64 l l))
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(*.f64 l -1)
(.f64 1/2 (.f64 l -2))
(.f64 1/2 (+.f64 (+.f64 l l) (.f64 (*.f64 l -2) 2)))
(.f64 1/2 (+.f64 (.f64 (*.f64 l -2) 2) (+.f64 l l)))
(.f64 (.f64 l 1/2) -2)
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(-.f64 (*.f64 l (PI.f64)) 0)
(-.f64 (.f64 l (PI.f64)) (.f64 0 (neg.f64 (PI.f64))))
(-.f64 (.f64 l (PI.f64)) (neg.f64 (.f64 0 (neg.f64 (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (.f64 l (*.f64 (PI.f64) 0)))
(-.f64 (*.f64 l (PI.f64)) (-.f64 l l))
(-.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (neg.f64 (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (-.f64 (-.f64 l l) (.f64 0 (neg.f64 (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (-.f64 (.f64 0 (neg.f64 (PI.f64))) (-.f64 l l)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 0 (/.f64 -2 (PI.f64))))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 l (.f64 (PI.f64) -2))))
(-.f64 (.f64 l (PI.f64)) (.f64 (-.f64 l l) 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 1 (/.f64 (/.f64 1 (PI.f64)) 0)))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (.f64 (PI.f64) 0)) (.f64 l (*.f64 (PI.f64) 0))))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 0 (neg.f64 (PI.f64))) (*.f64 0 (neg.f64 (PI.f64)))))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 l (*.f64 1/2 (PI.f64))) (/.f64 (PI.f64) (/.f64 -2 l))))
(-.f64 (.f64 l (PI.f64)) (+.f64 (.f64 0 (neg.f64 (PI.f64))) (-.f64 l l)))
(-.f64 (.f64 l (PI.f64)) (+.f64 (-.f64 l l) (.f64 0 (neg.f64 (PI.f64)))))
(-.f64 (*.f64 l (PI.f64)) (+.f64 (/.f64 0 (/.f64 -2 (PI.f64))) (/.f64 0 (/.f64 -2 (PI.f64)))))
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(-.f64 (.f64 l (PI.f64)) (+.f64 (/.f64 0 (/.f64 -2 (PI.f64))) (.f64 0 (neg.f64 (PI.f64)))))
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(-.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 l (PI.f64)))
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(-.f64 (.f64 l (.f64 (PI.f64) -2)) (.f64 (.f64 l (*.f64 (PI.f64) -2)) 3/2))
(-.f64 (.f64 l (.f64 (PI.f64) 0)) (*.f64 l (neg.f64 (PI.f64))))
(-.f64 (-.f64 l l) (*.f64 l (neg.f64 (PI.f64))))
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(-.f64 (/.f64 (-.f64 l l) (/.f64 -2 (PI.f64))) (/.f64 (+.f64 l l) (/.f64 -2 (PI.f64))))
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(-.f64 (.f64 (.f64 (.f64 l 3/2) (PI.f64)) 2) (.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 l 3) (PI.f64)))
(-.f64 (.f64 (-.f64 l l) 2) (.f64 l (neg.f64 (PI.f64))))
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(-.f64 (+.f64 (.f64 l (.f64 (PI.f64) -2)) (.f64 l (.f64 (PI.f64) -2))) (+.f64 (.f64 l (.f64 (PI.f64) -2)) (.f64 (PI.f64) (.f64 l -3))))
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(-.f64 (+.f64 (-.f64 (.f64 (.f64 l 3/2) (PI.f64)) (-.f64 l l)) (-.f64 (.f64 (.f64 l 3/2) (PI.f64)) (-.f64 l l))) (+.f64 (-.f64 (.f64 (.f64 l 3/2) (PI.f64)) (-.f64 l l)) (.f64 l (.f64 1/2 (PI.f64)))))
(-.f64 (+.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 l l)) (-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 l l))) (+.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (-.f64 l l)) (.f64 l (*.f64 (PI.f64) -2))))
(-.f64 (+.f64 (.f64 (.f64 l 6) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 6) (.f64 1/2 (PI.f64)))) (+.f64 (.f64 (.f64 l 6) (.f64 1/2 (PI.f64))) (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (+.f64 (/.f64 (.f64 l -1/2) (/.f64 -2 (PI.f64))) (/.f64 (.f64 l -1/2) (/.f64 -2 (PI.f64)))) (+.f64 (/.f64 (.f64 l -1/2) (/.f64 -2 (PI.f64))) (/.f64 (.f64 l 3/2) (/.f64 -2 (PI.f64)))))
(-.f64 (+.f64 (/.f64 (-.f64 l l) (/.f64 -2 (PI.f64))) (/.f64 (-.f64 l l) (/.f64 -2 (PI.f64)))) (+.f64 (/.f64 (-.f64 l l) (/.f64 -2 (PI.f64))) (/.f64 (+.f64 l l) (/.f64 -2 (PI.f64)))))
(-.f64 (+.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64)))) (+.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 3/2) (.f64 (PI.f64) -1/2))))
(-.f64 (+.f64 (.f64 (.f64 (.f64 l 3/2) (PI.f64)) 2) (.f64 (.f64 (.f64 l 3/2) (PI.f64)) 2)) (+.f64 (.f64 (.f64 (.f64 l 3/2) (PI.f64)) 2) (.f64 (PI.f64) (+.f64 l l))))
(-.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 l 3) (PI.f64))))
(-.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (*.f64 l -3/2))) (/.f64 (PI.f64) (/.f64 -2 l)))
(*.f64 l (PI.f64))
(.f64 l (.f64 -2 (*.f64 (PI.f64) -1/2)))
(*.f64 l (/.f64 1/2 (/.f64 1/2 (PI.f64))))
(.f64 l (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) -2)))
(.f64 l (-.f64 (.f64 (PI.f64) -1/2) (.f64 3 (.f64 (PI.f64) -1/2))))
(.f64 l (+.f64 (.f64 (PI.f64) -1/2) (.f64 3 (.f64 1/2 (PI.f64)))))
(.f64 l (+.f64 0 (.f64 -2 (*.f64 (PI.f64) -1/2))))
(*.f64 l (+.f64 0 (/.f64 1/2 (/.f64 1/2 (PI.f64)))))
(.f64 1/2 (.f64 (PI.f64) (+.f64 l l)))
(.f64 1/2 (-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 l -3))))
(.f64 1/2 (+.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (.f64 l 6) (*.f64 1/2 (PI.f64)))))
(.f64 (.f64 l 1/2) (*.f64 (PI.f64) 2))
(.f64 (.f64 l 1/2) (/.f64 1 (/.f64 1/2 (PI.f64))))
(.f64 (.f64 l 1/2) (-.f64 (neg.f64 (PI.f64)) (.f64 6 (.f64 (PI.f64) -1/2))))
(.f64 (.f64 l 1/2) (+.f64 (neg.f64 (PI.f64)) (.f64 6 (.f64 1/2 (PI.f64)))))
(.f64 (.f64 l 1/2) (+.f64 0 (/.f64 1 (/.f64 1/2 (PI.f64)))))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(.f64 (neg.f64 l) (-.f64 (.f64 (PI.f64) 3) (.f64 (.f64 (PI.f64) 2) 2)))
(*.f64 (neg.f64 l) (/.f64 1/2 (neg.f64 (/.f64 1/2 (PI.f64)))))
(.f64 -1 (.f64 l (neg.f64 (PI.f64))))
(*.f64 (PI.f64) l)
(.f64 (PI.f64) (/.f64 (.f64 l -2) -2))
(.f64 (PI.f64) (-.f64 (.f64 l -3) (.f64 (.f64 l -2) 2)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (.f64 1/2 (.f64 l 3/2)) (.f64 l -1/4)))
(.f64 (PI.f64) (+.f64 (.f64 l 3/2) (/.f64 1 (/.f64 -2 l))))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (.f64 l (PI.f64)) 1)
(.f64 1 (.f64 l (PI.f64)))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(.f64 (neg.f64 (PI.f64)) (-.f64 (.f64 l 5) (*.f64 l 6)))
(.f64 (+.f64 l l) (.f64 1/2 (PI.f64)))
(.f64 (+.f64 l l) (-.f64 (.f64 (PI.f64) -1/2) (neg.f64 (PI.f64))))
(*.f64 -2 (/.f64 (PI.f64) (/.f64 -2 l)))
(.f64 (.f64 l -2) (*.f64 (PI.f64) -1/2))
(.f64 (.f64 (PI.f64) -1/2) (*.f64 l -2))
(.f64 (.f64 l -1/2) (-.f64 0 (*.f64 (PI.f64) 2)))
(.f64 (.f64 l -1/2) (-.f64 (.f64 (PI.f64) 2) (.f64 (*.f64 (PI.f64) 2) 2)))
(.f64 (.f64 l -1/2) (-.f64 (PI.f64) (*.f64 (PI.f64) 3)))
(.f64 (.f64 l (*.f64 1/2 (PI.f64))) 2)
(.f64 (.f64 l (neg.f64 (PI.f64))) -1)
(.f64 (.f64 l 4) (/.f64 1/2 (*.f64 -1 (/.f64 -2 (PI.f64)))))
(.f64 (.f64 l 4) (/.f64 1/2 (neg.f64 (/.f64 -2 (PI.f64)))))
(.f64 2 (.f64 l (*.f64 1/2 (PI.f64))))
(.f64 2 (-.f64 (/.f64 (PI.f64) (/.f64 -2 l)) (.f64 l (neg.f64 (PI.f64)))))
(.f64 2 (/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) (.f64 l 1/2))))
(.f64 -1/2 (.f64 l (*.f64 (PI.f64) -2)))
(.f64 (.f64 (PI.f64) (+.f64 l l)) 1/2)
(.f64 (.f64 l (*.f64 (PI.f64) -2)) -1/2)
(.f64 (.f64 (PI.f64) 2) (*.f64 l 1/2))
(.f64 (.f64 (PI.f64) 2) (-.f64 (*.f64 l -1/4) (/.f64 1/2 (/.f64 -2/3 l))))
(.f64 (.f64 (PI.f64) 2) (/.f64 1/2 (/.f64 1/2 (*.f64 l 1/2))))
(.f64 (.f64 1/2 (PI.f64)) (+.f64 l l))
(.f64 (/.f64 (.f64 l -2) -2) (PI.f64))
(.f64 (.f64 -2 (*.f64 (PI.f64) -1/2)) l)
(.f64 (/.f64 1 (/.f64 1/2 (PI.f64))) (.f64 l 1/2))
(*.f64 (/.f64 1/2 (/.f64 1/2 (PI.f64))) l)
(.f64 (.f64 (*.f64 l -2) 2) (/.f64 1/2 (/.f64 -2 (PI.f64))))
(.f64 (.f64 (.f64 l -2) 2) (-.f64 (.f64 (PI.f64) -1/2) (/.f64 1/2 (/.f64 -2 (PI.f64)))))
(.f64 (.f64 (PI.f64) -2) (/.f64 1/2 (/.f64 -1 l)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
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(.f64 (.f64 (.f64 (PI.f64) 2) 2) (/.f64 1/2 (/.f64 1 (.f64 l 1/2))))
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(.f64 (.f64 (*.f64 (PI.f64) 2) 2) (/.f64 1/2 (/.f64 -2 (neg.f64 l))))
(.f64 (/.f64 1/2 (/.f64 -2 (PI.f64))) (.f64 (*.f64 l -2) 2))
(.f64 (/.f64 1/2 (/.f64 -1 l)) (.f64 (PI.f64) -2))
(.f64 (+.f64 (.f64 l (.f64 (PI.f64) -2)) (.f64 l (*.f64 (PI.f64) -2))) -1/4)
(*.f64 (+.f64 (/.f64 l (neg.f64 (/.f64 1/2 (PI.f64)))) (/.f64 l (neg.f64 (/.f64 1/2 (PI.f64))))) -1/4)
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))

Outputs
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.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 l (*.f64 l -2))
(neg.f64 l)
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(neg.f64 l)
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(neg.f64 l)
(+.f64 (*.f64 l 1/2) (/.f64 -1 (/.f64 (/.f64 1/3 l) 1/2)))
(neg.f64 l)
(+.f64 (.f64 l 1/2) (/.f64 -1 (/.f64 -1 (.f64 l -3/2))))
(neg.f64 l)
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(neg.f64 l)
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(neg.f64 l)
(+.f64 0 (neg.f64 l))
(neg.f64 l)
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(neg.f64 l)
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(neg.f64 l)
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(+.f64 l (+.f64 (*.f64 l -3) l))
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(neg.f64 l)
(+.f64 (.f64 1/2 (.f64 l 1/2)) (.f64 1/2 (.f64 l -5/2)))
(neg.f64 l)
(+.f64 (.f64 1/2 (.f64 l -5/2)) (.f64 1/2 (.f64 l 1/2)))
(neg.f64 l)
(*.f64 l -1)
(neg.f64 l)
(.f64 1/2 (.f64 l -2))
(neg.f64 l)
(.f64 1/2 (+.f64 (+.f64 l l) (.f64 (*.f64 l -2) 2)))
(neg.f64 l)
(.f64 1/2 (+.f64 (.f64 (*.f64 l -2) 2) (+.f64 l l)))
(neg.f64 l)
(.f64 (.f64 l 1/2) -2)
(neg.f64 l)
(*.f64 (neg.f64 l) 1)
(neg.f64 l)
(*.f64 -1 l)
(neg.f64 l)
(*.f64 1 (neg.f64 l))
(neg.f64 l)
(*.f64 (+.f64 l l) -1/2)
(neg.f64 l)
(.f64 (.f64 l -2) 1/2)
(neg.f64 l)
(.f64 (.f64 l -1/2) 2)
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(.f64 2 (.f64 l -1/2))
(neg.f64 l)
(*.f64 2 (/.f64 1/2 (/.f64 -1 l)))
(neg.f64 l)
(*.f64 -1/2 (+.f64 l l))
(neg.f64 l)
(/.f64 l -1)
(neg.f64 l)
(/.f64 1/2 (/.f64 -1/2 l))
(neg.f64 l)
(/.f64 (neg.f64 l) 1)
(neg.f64 l)
(/.f64 1 (/.f64 -1 l))
(neg.f64 l)
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(+.f64 (*.f64 l (PI.f64)) 0)
(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(+.f64 (*.f64 l (PI.f64)) (-.f64 l l))
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(-.f64 (*.f64 l (PI.f64)) (-.f64 l l))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
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(-.f64 (.f64 (PI.f64) (.f64 2 (+.f64 l l))) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (.f64 (+.f64 l l) (.f64 (PI.f64) 2)) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 (-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (*.f64 l -3/2))) (/.f64 (PI.f64) (/.f64 -2 l)))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 l (.f64 -2 (*.f64 (PI.f64) -1/2)))
(*.f64 l (PI.f64))
(*.f64 l (/.f64 1/2 (/.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 l (-.f64 (neg.f64 (PI.f64)) (.f64 (PI.f64) -2)))
(*.f64 l (PI.f64))
(.f64 l (-.f64 (.f64 (PI.f64) -1/2) (.f64 3 (.f64 (PI.f64) -1/2))))
(*.f64 l (PI.f64))
(.f64 l (+.f64 (.f64 (PI.f64) -1/2) (.f64 3 (.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 l (+.f64 0 (.f64 -2 (*.f64 (PI.f64) -1/2))))
(*.f64 l (PI.f64))
(*.f64 l (+.f64 0 (/.f64 1/2 (/.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
(.f64 1/2 (-.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (PI.f64) (.f64 l -3))))
(.f64 1/2 (.f64 l (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -3))))
(.f64 1/2 (+.f64 (.f64 l (neg.f64 (PI.f64))) (.f64 (.f64 l 6) (*.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (*.f64 (PI.f64) 2))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (/.f64 1 (/.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (-.f64 (neg.f64 (PI.f64)) (.f64 6 (.f64 (PI.f64) -1/2))))
(.f64 (.f64 l 1/2) (-.f64 (neg.f64 (PI.f64)) (*.f64 (PI.f64) -3)))
(.f64 (.f64 l -1/2) (-.f64 (*.f64 (PI.f64) -3) (neg.f64 (PI.f64))))
(.f64 (.f64 l 1/2) (+.f64 (neg.f64 (PI.f64)) (.f64 6 (.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (+.f64 0 (/.f64 1 (/.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (neg.f64 l) (-.f64 (.f64 (PI.f64) 3) (.f64 (.f64 (PI.f64) 2) 2)))
(.f64 l (-.f64 (.f64 2 (.f64 (PI.f64) 2)) (.f64 (PI.f64) 3)))
(.f64 l (-.f64 (.f64 (PI.f64) 4) (*.f64 (PI.f64) 3)))
(*.f64 (neg.f64 l) (/.f64 1/2 (neg.f64 (/.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(.f64 (PI.f64) (/.f64 (.f64 l -2) -2))
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 (.f64 l -3) (.f64 (.f64 l -2) 2)))
(.f64 (PI.f64) (-.f64 (.f64 l -3) (*.f64 l -4)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 (.f64 1/2 (.f64 l 3/2)) (.f64 l -1/4)))
(*.f64 l (PI.f64))
(.f64 (PI.f64) (+.f64 (.f64 l 3/2) (/.f64 1 (/.f64 -2 l))))
(*.f64 l (PI.f64))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (PI.f64)) 1)
(*.f64 l (PI.f64))
(.f64 1 (.f64 l (PI.f64)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 l (PI.f64))
(.f64 (neg.f64 (PI.f64)) (-.f64 (.f64 l 5) (*.f64 l 6)))
(*.f64 l (PI.f64))
(.f64 (+.f64 l l) (.f64 1/2 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (+.f64 l l) (-.f64 (.f64 (PI.f64) -1/2) (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 -2 (/.f64 (PI.f64) (/.f64 -2 l)))
(*.f64 l (PI.f64))
(.f64 (.f64 l -2) (*.f64 (PI.f64) -1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) -1/2) (*.f64 l -2))
(*.f64 l (PI.f64))
(.f64 (.f64 l -1/2) (-.f64 0 (*.f64 (PI.f64) 2)))
(*.f64 l (PI.f64))
(.f64 (.f64 l -1/2) (-.f64 (.f64 (PI.f64) 2) (.f64 (*.f64 (PI.f64) 2) 2)))
(*.f64 l (PI.f64))
(.f64 (.f64 l -1/2) (-.f64 (PI.f64) (*.f64 (PI.f64) 3)))
(*.f64 l (PI.f64))
(.f64 (.f64 l (*.f64 1/2 (PI.f64))) 2)
(*.f64 l (PI.f64))
(.f64 (.f64 l (neg.f64 (PI.f64))) -1)
(*.f64 l (PI.f64))
(.f64 (.f64 l 4) (/.f64 1/2 (*.f64 -1 (/.f64 -2 (PI.f64)))))
(.f64 (.f64 l 4) (/.f64 1/2 (/.f64 2 (PI.f64))))
(.f64 l (.f64 (/.f64 (PI.f64) 4) 4))
(.f64 (.f64 l 4) (/.f64 1/2 (neg.f64 (/.f64 -2 (PI.f64)))))
(.f64 (.f64 l 4) (/.f64 1/2 (/.f64 2 (PI.f64))))
(.f64 l (.f64 (/.f64 (PI.f64) 4) 4))
(.f64 2 (.f64 l (*.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 2 (-.f64 (/.f64 (PI.f64) (/.f64 -2 l)) (.f64 l (neg.f64 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 2 (/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) (.f64 l 1/2))))
(*.f64 l (PI.f64))
(.f64 -1/2 (.f64 l (*.f64 (PI.f64) -2)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (+.f64 l l)) 1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 l (*.f64 (PI.f64) -2)) -1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 2) (*.f64 l 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 2) (-.f64 (*.f64 l -1/4) (/.f64 1/2 (/.f64 -2/3 l))))
(.f64 (.f64 (PI.f64) 2) (-.f64 (*.f64 l -1/4) (/.f64 l -4/3)))
(.f64 (PI.f64) (.f64 (-.f64 (*.f64 l -1/4) (/.f64 l -4/3)) 2))
(.f64 (.f64 (PI.f64) 2) (/.f64 1/2 (/.f64 1/2 (*.f64 l 1/2))))
(*.f64 l (PI.f64))
(.f64 (.f64 1/2 (PI.f64)) (+.f64 l l))
(*.f64 l (PI.f64))
(.f64 (/.f64 (.f64 l -2) -2) (PI.f64))
(*.f64 l (PI.f64))
(.f64 (.f64 -2 (*.f64 (PI.f64) -1/2)) l)
(*.f64 l (PI.f64))
(.f64 (/.f64 1 (/.f64 1/2 (PI.f64))) (.f64 l 1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 1/2 (/.f64 1/2 (PI.f64))) l)
(*.f64 l (PI.f64))
(.f64 (.f64 (*.f64 l -2) 2) (/.f64 1/2 (/.f64 -2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (.f64 (.f64 l -2) 2) (-.f64 (.f64 (PI.f64) -1/2) (/.f64 1/2 (/.f64 -2 (PI.f64)))))
(.f64 (.f64 (.f64 l -2) 2) (-.f64 (.f64 (PI.f64) -1/2) (/.f64 (PI.f64) -4)))
(-.f64 (.f64 2 (.f64 l (PI.f64))) (*.f64 l (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (/.f64 1/2 (/.f64 -1 l)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) -2) (/.f64 1/2 (/.f64 -1/2 (*.f64 l 1/2))))
(*.f64 l (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) 2) 2) (/.f64 1/2 (/.f64 1 (.f64 l 1/2))))
(*.f64 l (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) 2) 2) (/.f64 1/2 (.f64 (/.f64 1 l) 2)))
(*.f64 l (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) 2) 2) (/.f64 1/2 (/.f64 -2 (neg.f64 l))))
(*.f64 l (PI.f64))
(.f64 (/.f64 1/2 (/.f64 -2 (PI.f64))) (.f64 (*.f64 l -2) 2))
(*.f64 l (PI.f64))
(.f64 (/.f64 1/2 (/.f64 -1 l)) (.f64 (PI.f64) -2))
(*.f64 l (PI.f64))
(.f64 (+.f64 (.f64 l (.f64 (PI.f64) -2)) (.f64 l (*.f64 (PI.f64) -2))) -1/4)
(*.f64 l (PI.f64))
(*.f64 (+.f64 (/.f64 l (neg.f64 (/.f64 1/2 (PI.f64)))) (/.f64 l (neg.f64 (/.f64 1/2 (PI.f64))))) -1/4)
(*.f64 l (PI.f64))
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (PI.f64) (+.f64 l l))
✓	0.3b	(.f64 (PI.f64) (.f64 l 3))
✓	0.9b	(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))

Compiler

Compiled 32 to 15 computations (53.1% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
0.0ms	l	@	-inf	(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
0.0ms	l	@	inf	(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
0.0ms	l	@	0	(.f64 (PI.f64) (.f64 l 3))
0.0ms	l	@	inf	(.f64 (PI.f64) (.f64 l 3))

rewrite83.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1854×	`rational.json-1`
580×	`rational.json-2`
580×	`rational.json-4`
580×	`rational.json-3`
556×	`rational.json-simplify-24`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	11	65
1	68	57
2	236	57
3	1249	39
4	7612	39

Stop Event

1×	node limit

Counts

3 → 305

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(.f64 (PI.f64) (.f64 l 3))
(*.f64 (PI.f64) (+.f64 l l))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 l 3)) (*.f64 (*.f64 (PI.f64) l) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (+.f64 l l)) (*.f64 (PI.f64) (neg.f64 l)))))) (#(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) (*.f64 (PI.f64) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (-.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (-.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 0 (-.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 0 (-.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 1 (*.f64 0 (-.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 1 (*.f64 0 (-.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 1/2 (*.f64 0 (-.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) l) (*.f64 1/2 (*.f64 0 (-.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l 1/6)) (*.f64 (*.f64 l 5) (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l 1/6)) (*.f64 1/2 (-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) (*.f64 l 9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) l) -2) (*.f64 (PI.f64) (*.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 l -3)) (*.f64 (PI.f64) (*.f64 l 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 l l) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)) (neg.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)) (*.f64 1 (neg.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 l 5) (neg.f64 (PI.f64))) (*.f64 (PI.f64) (/.f64 l 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5)))) (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (-.f64 l l)) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 l (PI.f64))) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 0 (-.f64 (PI.f64) l)) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (PI.f64) (*.f64 l 3)) 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(PI.f64) l) -2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 (PI.f64) (neg.f64 l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (-.f64 (*.f64 (PI.f64) (/.f64 l 1/6)) (*.f64 (PI.f64) (-.f64 l (*.f64 l 5)))) (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)) (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5)))) (+.f64 (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)) (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (neg.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (-.f64 (*.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 l)) (*.f64 (PI.f64) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (neg.f64 l)) (*.f64 1/2 (neg.f64 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 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-1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5))) (+.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 l) (*.f64 (PI.f64) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (PI.f64) 2) 2) (/.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) 3)) (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 l (neg.f64 l)) (/.f64 1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) 3) (*.f64 (*.f64 (PI.f64) 2) 2)) (neg.f64 (/.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (/.f64 l 1/6) (*.f64 (*.f64 l 4) 2)) (/.f64 -1 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (PI.f64) (/.f64 l 1/6)) (*.f64 (*.f64 (PI.f64) (*.f64 l 4)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 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simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

922×	`rational.json-simplify-24`
728×	`rational.json-simplify-28`
722×	`rational.json-simplify-13`
716×	`rational.json-simplify-50`
664×	`rational.json-simplify-27`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	537	9401
1	1847	6997

Stop Event

1×	node limit

Counts

341 → 396

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 3 (PI.f64)) (*.f64 2 (PI.f64))) l)
(.f64 (-.f64 (.f64 3 (PI.f64)) (*.f64 2 (PI.f64))) l)
(.f64 (-.f64 (.f64 3 (PI.f64)) (*.f64 2 (PI.f64))) l)
(.f64 (-.f64 (.f64 3 (PI.f64)) (*.f64 2 (PI.f64))) l)
(.f64 (-.f64 (.f64 3 (PI.f64)) (*.f64 2 (PI.f64))) l)
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Outputs
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(*.f64 (PI.f64) (+.f64 l l))
(/.f64 1/2 (/.f64 1 (.f64 (PI.f64) (.f64 l 4))))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 1/2 (/.f64 -1 (+.f64 (.f64 (.f64 (PI.f64) l) -2) (.f64 (.f64 (PI.f64) l) -2))))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 2 (/.f64 1 (*.f64 (PI.f64) l)))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (/.f64 (*.f64 (PI.f64) 2) -1) (/.f64 -1 l))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (.f64 (PI.f64) 1/2) (.f64 1/2 (/.f64 1/2 l)))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (-.f64 0 (*.f64 (PI.f64) 2)) (/.f64 -1 l))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (-.f64 (.f64 (PI.f64) (.f64 l 5)) (*.f64 (PI.f64) (+.f64 l (/.f64 l 1/6)))) -1)
(+.f64 (.f64 (PI.f64) (/.f64 l 1/6)) (.f64 (PI.f64) (-.f64 l (*.f64 l 5))))
(.f64 (PI.f64) (+.f64 (.f64 l 6) (-.f64 l (*.f64 l 5))))
(/.f64 (-.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l 1/6) 2)))) -1)
(-.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 2 (/.f64 l 1/6)))) (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (*.f64 l 5))))
(+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (.f64 l 5)))))
(/.f64 (.f64 (neg.f64 l) (.f64 (PI.f64) 2)) -1)
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (/.f64 (*.f64 (PI.f64) 2) 2) (/.f64 1/2 l))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (-.f64 (PI.f64) (*.f64 (PI.f64) 3)) (/.f64 -1 l))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (-.f64 l (neg.f64 l)) (/.f64 1 (PI.f64)))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(/.f64 (-.f64 (.f64 (PI.f64) 3) (.f64 (*.f64 (PI.f64) 2) 2)) (neg.f64 (/.f64 1/2 l)))
(-.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 (PI.f64) (/.f64 l 1/6)))
(.f64 (PI.f64) (-.f64 (.f64 l 8) (*.f64 l 6)))
(/.f64 (-.f64 (/.f64 l 1/6) (.f64 (.f64 l 4) 2)) (/.f64 -1 (PI.f64)))
(-.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 (PI.f64) (/.f64 l 1/6)))
(.f64 (PI.f64) (-.f64 (.f64 l 8) (*.f64 l 6)))
(/.f64 (-.f64 (.f64 (PI.f64) (/.f64 l 1/6)) (.f64 (.f64 (PI.f64) (.f64 l 4)) 2)) -1)
(-.f64 (.f64 2 (.f64 (PI.f64) (.f64 l 4))) (.f64 (PI.f64) (/.f64 l 1/6)))
(.f64 (PI.f64) (-.f64 (.f64 l 8) (*.f64 l 6)))
(/.f64 (neg.f64 (*.f64 (PI.f64) 2)) (/.f64 -1 l))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))
(neg.f64 (.f64 (.f64 (PI.f64) l) -2))
(.f64 2 (.f64 (PI.f64) l))
(*.f64 (PI.f64) (+.f64 l l))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 51 to 13 computations (74.5% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`rational.json-simplify-6`
1006×	`rational.json-simplify-29`
926×	`rational.json-simplify-37`
864×	`rational.json-simplify-3`
800×	`rational.json-simplify-42`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	82	25
2	305	25
3	1860	25

Stop Event

1×	node limit

Counts

1 → 175

Calls

Call 1

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

Outputs

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simplify99.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1180×	`rational.json-simplify-42`
920×	`rational.json-simplify-1`
818×	`rational.json-simplify-37`
676×	`rational.json-simplify-23`
660×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	410	6201
1	1259	5961
2	4816	5961

Stop Event

1×	node limit

Counts

199 → 197

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

eval895.0ms (4.2%)

Compiler: Compiled 49714 to 22709 computations (54.3% saved)

prune1.2s (5.8%)

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	2335	20	2355
Fresh	10	15	25
Picked	1	0	1
Done	3	4	7
Total	2349	39	2388

Error

0.3b

Counts

2388 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	15.3b	(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
	15.5b	(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
	14.9b	(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
	14.9b	(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
▶	14.6b	(/.f64 (PI.f64) (/.f64 1 l))
✓	14.6b	(/.f64 l (/.f64 1 (PI.f64)))
	14.6b	(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
	14.7b	(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
	14.7b	(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
	15.2b	(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
	14.5b	(-.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 3/2) (.f64 (PI.f64) -1/2)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) -2) (tan.f64 (.f64 l (PI.f64)))) F) (.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (neg.f64 F)))
▶	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
✓	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (PI.f64) (/.f64 l F)))))
	17.5b	(-.f64 (.f64 (PI.f64) l) (-.f64 (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (.f64 (/.f64 1 F) 4)) (.f64 3 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
	17.6b	(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 2 F))) (.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (*.f64 F F)))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/2 F))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))
	14.8b	(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))
	14.7b	(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
	16.1b	(+.f64 (.f64 (PI.f64) (.f64 (/.f64 l 1/6) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5)))))
	14.5b	(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
	23.6b	(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
	14.5b	(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
	23.9b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
	15.9b	(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
	15.5b	(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
	15.2b	(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
▶	14.9b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
	16.0b	(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
	53.9b	(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
✓	14.5b	(*.f64 l (PI.f64))
▶	53.7b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

Compiler

Compiled 1098 to 796 computations (27.5% saved)

localize27.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) F)
	0.2b	(*.f64 (PI.f64) l)
✓	0.4b	(.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))
	31.1b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 48 to 20 computations (58.3% saved)

series2.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1270×	`rational.json-simplify-13`
1140×	`rational.json-simplify-6`
984×	`rational.json-simplify-3`
770×	`rational.json-simplify-2`
754×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	56
1	77	44
2	263	44
3	1491	44

Stop Event

1×	node limit

Counts

2 → 426

Calls

Call 1

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

Outputs

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simplify173.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational.json-simplify-3`
1076×	`rational.json-simplify-1`
1022×	`rational.json-simplify-12`
892×	`rational.json-simplify-5`
520×	`rational.json-simplify-41`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	866	18582
1	2740	16566

Stop Event

1×	node limit

Counts

474 → 497

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))))
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(/.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 (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)))))
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(/.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))
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(/.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)) F) 0)
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(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (neg.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))
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(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (-.f64 (/.f64 0 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))
(+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (-.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) 0) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 0)))
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Outputs
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
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(/.f64 (/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (-.f64 0 (/.f64 1/2 F))) -1/2) F)
(-.f64 (/.f64 (+.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 F))) (+.f64 F F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (+.f64 F F))))
(-.f64 (/.f64 (/.f64 (+.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 2 (tan.f64 (.f64 l (PI.f64))))) F) (+.f64 F F)) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F (+.f64 F F))))
(/.f64 (-.f64 (.f64 (/.f64 3 F) (tan.f64 (.f64 l (PI.f64)))) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)) (+.f64 F F))
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(/.f64 (/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (-.f64 0 (/.f64 1/2 F))) -1/2) F)
(-.f64 (/.f64 (+.f64 (/.f64 2 F) (/.f64 2 F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (+.f64 (/.f64 1 F) (/.f64 2 F)) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(-.f64 (/.f64 (.f64 0 (neg.f64 (tan.f64 (.f64 (PI.f64) l)))) F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
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(/.f64 (/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (-.f64 0 (/.f64 1/2 F))) -1/2) F)
(-.f64 (/.f64 (/.f64 0 F) (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
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(-.f64 (/.f64 (+.f64 (/.f64 1/2 F) (/.f64 1/2 F)) (.f64 1/2 (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(-.f64 (/.f64 0 (.f64 -1 (.f64 F F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
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(-.f64 (/.f64 (/.f64 0 F) (.f64 -1 F)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
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(/.f64 (/.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) (-.f64 0 (/.f64 1/2 F))) -1/2) F)
(-.f64 (/.f64 0 (/.f64 F -1/2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
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(.f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
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(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 1)
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 -1 (*.f64 F F)))
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(.f64 (/.f64 2 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1/2 F)))
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(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (neg.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 2 F))) (/.f64 1/2 (neg.f64 F)))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (+.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 F)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 F))) (.f64 1/2 (/.f64 1/2 F)))
(.f64 (/.f64 (+.f64 (.f64 2 (tan.f64 (.f64 l (PI.f64)))) (.f64 2 (tan.f64 (*.f64 l (PI.f64))))) F) (/.f64 1/4 F))
(.f64 (.f64 (/.f64 4 F) (tan.f64 (*.f64 l (PI.f64)))) (/.f64 1/4 F))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1/2 (neg.f64 F)))
(.f64 (/.f64 1/2 (neg.f64 F)) (-.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 l (PI.f64))) F)))
(/.f64 (+.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) (/.f64 F 1/2))
(.f64 (-.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) -1/2)
(.f64 -1/2 (-.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F (neg.f64 F))) (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(.f64 -1/2 (/.f64 (.f64 (/.f64 -2 F) (tan.f64 (*.f64 l (PI.f64)))) F))
(.f64 (.f64 2 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1/2 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(.f64 (.f64 -1/2 (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 2 F))) (/.f64 -1 F))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))
(neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (.f64 l (PI.f64))) (.f64 F F))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (PI.f64) (/.f64 1 l))

Compiler

Compiled 13 to 9 computations (30.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1608×	`rational.json-1`
1608×	`rational.json-2`
720×	`rational.json-simplify-13`
562×	`rational.json-simplify-5`
538×	`rational.json-simplify-6`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	52	9
2	189	9
3	966	9
4	7172	9

Stop Event

1×	node limit

Counts

1 → 128

Calls

Call 1

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 l) (/.f64 (*.f64 (PI.f64) 1/2) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (neg.f64 l)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 (PI.f64) (+.f64 l l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (/.f64 (+.f64 l l) (/.f64 1/2 (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 0 (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (-.f64 l l) (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (-.f64 (*.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 (/.f64 (PI.f64) -1/2) (/.f64 1 l)))))) 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) l)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) (+.f64 l l)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (/.f64 (PI.f64) -1/2) (/.f64 (PI.f64) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 l l)) (/.f64 (PI.f64) -2))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (PI.f64) (neg.f64 l)))))))

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1058×	`rational.json-simplify-42`
900×	`rational.json-simplify-45`
840×	`rational.json-simplify-1`
768×	`rational.json-simplify-33`
752×	`rational.json-simplify-21`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	252	1918
1	834	1626
2	3646	1626

Stop Event

1×	node limit

Counts

140 → 137

Calls

Call 1

Inputs
(*.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 (*.f64 (PI.f64) l) 0)
(+.f64 (*.f64 (PI.f64) l) (-.f64 l l))
(+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) 0))
(+.f64 (.f64 (PI.f64) l) (.f64 0 (-.f64 (PI.f64) l)))
(+.f64 (.f64 (PI.f64) l) (+.f64 (-.f64 l l) (.f64 (PI.f64) 0)))
(+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (-.f64 l l)))
(+.f64 (.f64 (PI.f64) l) (+.f64 0 (.f64 0 (-.f64 (PI.f64) l))))
(+.f64 (.f64 (PI.f64) l) (+.f64 0 (+.f64 (-.f64 l l) (.f64 (PI.f64) 0))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (-.f64 l l) (.f64 0 (-.f64 (PI.f64) l))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (-.f64 l l) (+.f64 (-.f64 l l) (.f64 (PI.f64) 0))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) 0) (*.f64 0 (-.f64 (PI.f64) l))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 (PI.f64) 0) (+.f64 (-.f64 l l) (*.f64 (PI.f64) 0))))
(+.f64 (.f64 (PI.f64) l) (-.f64 (.f64 0 (-.f64 (PI.f64) l)) (-.f64 l l)))
(+.f64 (.f64 (PI.f64) l) (-.f64 (+.f64 (-.f64 l l) (.f64 (PI.f64) 0)) (-.f64 l l)))
(+.f64 (.f64 (PI.f64) l) (-.f64 (.f64 0 (-.f64 (PI.f64) l)) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 (PI.f64) l) (-.f64 (+.f64 (-.f64 l l) (.f64 (PI.f64) 0)) (*.f64 (PI.f64) 0)))
(+.f64 (.f64 (PI.f64) l) (-.f64 (.f64 0 (-.f64 (PI.f64) l)) (*.f64 (PI.f64) (-.f64 l l))))
(+.f64 (.f64 (PI.f64) l) (-.f64 (+.f64 (-.f64 l l) (.f64 (PI.f64) 0)) (*.f64 (PI.f64) (-.f64 l l))))
(+.f64 (.f64 (PI.f64) l) (.f64 1 (*.f64 0 (-.f64 (PI.f64) l))))
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Outputs
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(+.f64 (-.f64 l l) (-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 l (.f64 (PI.f64) 3))))
(+.f64 (-.f64 l l) (.f64 (PI.f64) (-.f64 (/.f64 l 1/4) (.f64 l 3))))
(-.f64 (+.f64 (.f64 (PI.f64) 0) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (.f64 (PI.f64) (*.f64 l 3)))
(+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (neg.f64 (.f64 l (.f64 (PI.f64) 3))))
(.f64 (PI.f64) (-.f64 (/.f64 l 1/4) (.f64 l 3)))
(-.f64 (/.f64 (.f64 (PI.f64) 3) (/.f64 2 l)) (.f64 (PI.f64) (*.f64 l 1/2)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (/.f64 (.f64 l 3) (/.f64 2 (PI.f64))) (.f64 (PI.f64) (*.f64 l 1/2)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (/.f64 (.f64 (PI.f64) (.f64 l 3)) 2) (.f64 (PI.f64) (.f64 l 1/2)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (.f64 0 (/.f64 (PI.f64) -1/2)) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (/.f64 l 1/4) (PI.f64)) (.f64 (PI.f64) (*.f64 l 3)))
(+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (neg.f64 (.f64 l (.f64 (PI.f64) 3))))
(.f64 (PI.f64) (-.f64 (/.f64 l 1/4) (.f64 l 3)))
(-.f64 (.f64 (.f64 (.f64 (PI.f64) 2) 2) l) (.f64 (PI.f64) (*.f64 l 3)))
(+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (neg.f64 (.f64 l (.f64 (PI.f64) 3))))
(.f64 (PI.f64) (-.f64 (/.f64 l 1/4) (.f64 l 3)))
(-.f64 (.f64 (.f64 (PI.f64) (.f64 l 3)) 1/2) (.f64 (PI.f64) (*.f64 l 1/2)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (.f64 (.f64 (PI.f64) 3) (.f64 l 1/2)) (.f64 (PI.f64) (*.f64 l 1/2)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (.f64 (-.f64 l l) -1) (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 (PI.f64) 0) -1) (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(-.f64 (.f64 (.f64 l 3) (.f64 (PI.f64) 1/2)) (.f64 (*.f64 (PI.f64) 1/2) l))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(-.f64 (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (.f64 (PI.f64) (+.f64 l l)) 2)) (+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3))))
(+.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (neg.f64 (.f64 l (.f64 (PI.f64) 3))))
(.f64 (PI.f64) (-.f64 (/.f64 l 1/4) (.f64 l 3)))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(.f64 1 (.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) l) 1)
(*.f64 l (PI.f64))
(.f64 2 (.f64 (PI.f64) (*.f64 l 1/2)))
(*.f64 l (PI.f64))
(.f64 1/2 (.f64 (PI.f64) (+.f64 l l)))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 2) (*.f64 l 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (*.f64 (PI.f64) 2))
(*.f64 l (PI.f64))
(.f64 (.f64 l 1/2) (/.f64 1/2 (*.f64 1/2 (/.f64 1/2 (PI.f64)))))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (neg.f64 l))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 (PI.f64)) (/.f64 1/2 (neg.f64 (/.f64 1/2 l))))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 l) (neg.f64 (PI.f64)))
(*.f64 l (PI.f64))
(.f64 (neg.f64 l) (/.f64 (.f64 (PI.f64) 1/2) -1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (neg.f64 l)) -1)
(*.f64 l (PI.f64))
(.f64 1/4 (.f64 (*.f64 (PI.f64) (+.f64 l l)) 2))
(*.f64 l (PI.f64))
(*.f64 1/4 (/.f64 (+.f64 l l) (/.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) l)))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 l 3))))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(.f64 -1/2 (-.f64 0 (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (-.f64 l l) (.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(.f64 -1/2 (-.f64 (.f64 (PI.f64) 0) (*.f64 (PI.f64) (+.f64 l l))))
(*.f64 l (PI.f64))
(*.f64 -1/2 (/.f64 (/.f64 (PI.f64) -1/2) (/.f64 1 l)))
(*.f64 l (PI.f64))
(*.f64 -1/2 (/.f64 (/.f64 l -1/2) (/.f64 1 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 -1/2 (.f64 l (/.f64 (PI.f64) -1/2)))
(*.f64 l (PI.f64))
(.f64 -1/2 (.f64 (*.f64 (PI.f64) 2) (neg.f64 l)))
(*.f64 l (PI.f64))
(.f64 (+.f64 l l) (.f64 (PI.f64) 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (+.f64 l l)) 1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) 1/2) (+.f64 l l))
(*.f64 l (PI.f64))
(.f64 -2 (/.f64 1/2 (/.f64 -1 (.f64 (PI.f64) l))))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l -1/2) (/.f64 (PI.f64) -2))
(*.f64 l (PI.f64))
(.f64 (/.f64 l -1/2) (.f64 (PI.f64) -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) -2) (/.f64 l -1/2))
(*.f64 l (PI.f64))
(.f64 (/.f64 (PI.f64) -2) (-.f64 l (.f64 l 3)))
(-.f64 (.f64 3 (/.f64 (PI.f64) (/.f64 2 l))) (.f64 (PI.f64) (*.f64 l 1/2)))
(.f64 (.f64 (PI.f64) 1/2) (-.f64 (*.f64 l 3) l))
(.f64 1/2 (.f64 (PI.f64) (-.f64 (*.f64 l 3) l)))
(*.f64 (/.f64 l 1/4) (/.f64 1/2 (/.f64 2 (PI.f64))))
(*.f64 l (PI.f64))
(*.f64 (/.f64 (PI.f64) -1/2) (/.f64 l -2))
(*.f64 l (PI.f64))
(.f64 (/.f64 (PI.f64) -1/2) (.f64 l -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l -2) (/.f64 (PI.f64) -1/2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l -2) (/.f64 -1 (/.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (/.f64 l 4) (.f64 (*.f64 (PI.f64) 2) 2))
(*.f64 l (PI.f64))
(*.f64 (/.f64 l 4) (/.f64 2 (/.f64 1/2 (PI.f64))))
(*.f64 l (PI.f64))
(.f64 (.f64 (PI.f64) (*.f64 l 1/2)) 2)
(*.f64 l (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) 2) 2) (/.f64 l 4))
(*.f64 l (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) 2) 2) (.f64 (*.f64 l 1/2) 1/2))
(*.f64 l (PI.f64))
(.f64 (.f64 (.f64 (PI.f64) 2) 2) (-.f64 (.f64 l 1/2) (/.f64 l 4)))
(*.f64 l (PI.f64))
(.f64 (-.f64 (.f64 (PI.f64) (neg.f64 l)) (*.f64 (PI.f64) l)) -1/2)
(*.f64 l (PI.f64))
(.f64 (.f64 (*.f64 (PI.f64) (+.f64 l l)) 2) 1/4)
(*.f64 l (PI.f64))
(*.f64 (+.f64 (/.f64 (PI.f64) -1/2) (/.f64 (PI.f64) -1/2)) (/.f64 1/2 (neg.f64 (/.f64 2 l))))
(*.f64 l (PI.f64))
(*.f64 (neg.f64 (+.f64 l l)) (/.f64 (PI.f64) -2))
(*.f64 l (PI.f64))
(neg.f64 (*.f64 (PI.f64) (neg.f64 l)))
(*.f64 l (PI.f64))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
✓	0.3b	(/.f64 -2/3 l)
✓	0.3b	(/.f64 1 (/.f64 -2/3 l))
✓	0.6b	(-.f64 (*.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l)))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series4.0ms (0%)

Counts

4 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(-.f64 (*.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l)))
0.0ms	l	@	inf	(/.f64 1 (/.f64 -2/3 l))
0.0ms	l	@	0	(/.f64 -2/3 l)
0.0ms	l	@	-inf	(/.f64 1 (/.f64 -2/3 l))
0.0ms	l	@	inf	(/.f64 -2/3 l)

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`rational.json-simplify-2`
902×	`rational.json-simplify-13`
854×	`rational.json-simplify-21`
832×	`rational.json-simplify-29`
752×	`rational.json-simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	13	60
1	89	60
2	319	60
3	1677	24

Stop Event

1×	node limit

Counts

4 → 271

Calls

Call 1

Inputs
(-.f64 (*.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l)))
(/.f64 1 (/.f64 -2/3 l))
(/.f64 -2/3 l)
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 l 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 l (-.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -1/2) (/.f64 l 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -1/2) (-.f64 l (.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -1/2) (+.f64 (-.f64 l (.f64 l -1/2)) (-.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -1/2) (.f64 1/2 (-.f64 l (/.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (.f64 l 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (.f64 l -3/2) (/.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 l)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 l) (.f64 1/2 (-.f64 l (+.f64 (neg.f64 l) (/.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l 1/2) (.f64 l 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l 1/2) (+.f64 (+.f64 l l) (.f64 l -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 l 1/2) (.f64 -1 (.f64 l -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l 2/3) (.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l 2/3) (.f64 -1 (-.f64 (.f64 l -3/2) (/.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l 2/3) (/.f64 (-.f64 (.f64 l -3/2) (/.f64 l -1/2)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 l (.f64 l -1/2)) (.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 l l) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (+.f64 (neg.f64 l) (/.f64 l -1/2))) (/.f64 l -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l -1/2) (neg.f64 (+.f64 (neg.f64 l) (/.f64 l -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l -1/2) (+.f64 l (+.f64 l l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l -1/2) (+.f64 0 (neg.f64 (+.f64 (neg.f64 l) (/.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 l -1/2) (.f64 1 (neg.f64 (+.f64 (neg.f64 l) (/.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 l l) l)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l -1/2) 1/2) (.f64 1/2 (+.f64 l (/.f64 l 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l -1/2) 1/2) (.f64 1/2 (+.f64 l (-.f64 l (.f64 l -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 l -1/2) 1/2) (.f64 1/2 (-.f64 l (.f64 l -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 l -1/2) -1) (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 l 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 l)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (/.f64 l -1/2) (+.f64 (neg.f64 l) (/.f64 l -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (neg.f64 l) (/.f64 l -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 l l) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 l -1/2) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 l 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (neg.f64 (/.f64 1/2 l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/2 (/.f64 -1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 l) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/2 (/.f64 1/2 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 l 1/2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 -1 l))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (neg.f64 (/.f64 1/2 l)) 1/2))))) (#(struct:change 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simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

884×	`rational.json-simplify-14`
790×	`rational.json-simplify-15`
768×	`rational.json-simplify-3`
652×	`rational.json-simplify-12`
630×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	500	4701
1	1713	4265

Stop Event

1×	node limit

Counts

307 → 361

Calls

Call 1

Inputs
l
l
l
l
l
l
l
l
l
l
l
l
(*.f64 -3/2 l)
(*.f64 -3/2 l)
(*.f64 -3/2 l)
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(*.f64 -3/2 l)
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(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
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(*.f64 l -3/2)
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Outputs
l
l
l
l
l
l
l
l
l
l
l
l
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
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(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
(*.f64 -3/2 l)
(*.f64 l -3/2)
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(/.f64 (-.f64 (*.f64 (PI.f64) (+.f64 l l)) (+.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (/.f64 (PI.f64) (/.f64 2/3 l)))) -1)
(+.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)) (neg.f64 (PI.f64))))
(-.f64 (.f64 (+.f64 (PI.f64) (PI.f64)) (/.f64 l 2/3)) (.f64 (PI.f64) (+.f64 l l)))
(/.f64 (-.f64 (+.f64 (.f64 l (PI.f64)) (.f64 (PI.f64) (+.f64 l l))) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l)))) -1)
(*.f64 l (PI.f64))
(/.f64 (-.f64 (*.f64 -1/2 (PI.f64)) (/.f64 (PI.f64) -2/3)) (/.f64 1 l))
(.f64 (-.f64 (.f64 (PI.f64) -1/2) (/.f64 (PI.f64) -2/3)) l)
(neg.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 l (PI.f64))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(*.f64 l (PI.f64))
✓	8.3b	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

Compiler

Compiled 29 to 16 computations (44.8% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	F	@	inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	l	@	-inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	l	@	0	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	F	@	-inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
0.0ms	l	@	inf	(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`rational.json-simplify-5`
756×	`rational.json-simplify-13`
672×	`rational.json-simplify-6`
642×	`rational.json-simplify-3`
640×	`rational.json-simplify-21`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	59	21
2	202	21
3	1042	21

Stop Event

1×	node limit

Counts

1 → 256

Calls

Call 1

Inputs
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))

Outputs

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simplify112.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1416×	`rational.json-simplify-14`
1086×	`rational.json-simplify-15`
686×	`rational.json-simplify-63`
628×	`rational.json-simplify-3`
610×	`rational.json-simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	496	6256
1	1550	5888
2	6500	5888

Stop Event

1×	node limit

Counts

256 → 276

Calls

Call 1

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (*.f64 (PI.f64) (/.f64 l F)))
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(*.f64 (PI.f64) (/.f64 l F))
✓	0.3b	(/.f64 1 (/.f64 F (*.f64 (PI.f64) (/.f64 l F))))

Compiler

Compiled 46 to 13 computations (71.7% saved)

series6.0ms (0%)

Counts

3 → 72

Calls

18 calls:

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

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1360×	`rational.json-simplify-6`
1106×	`rational.json-simplify-3`
1014×	`rational.json-1`
1014×	`rational.json-2`
1014×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	76	57
2	349	57
3	2726	57

Stop Event

1×	node limit

Counts

3 → 661

Calls

Call 1

Inputs
(/.f64 1 (/.f64 F (*.f64 (PI.f64) (/.f64 l F))))
(*.f64 (PI.f64) (/.f64 l F))
(/.f64 F (*.f64 (PI.f64) (/.f64 l 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 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 0 F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (/.f64 l F) (*.f64 (PI.f64) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (neg.f64 (/.f64 0 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 (/.f64 (PI.f64) F) (*.f64 (/.f64 l F) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (-.f64 (/.f64 0 F) (/.f64 0 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 0 (/.f64 F (/.f64 l F))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 0 (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (/.f64 0 F) (/.f64 F (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (PI.f64) 0) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (*.f64 (/.f64 l F) 0) F))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 0 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (/.f64 (-.f64 l l) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (*.f64 1 (/.f64 0 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (+.f64 (/.f64 0 F) (/.f64 0 F)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (+.f64 0 (neg.f64 (/.f64 0 F))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))) (+.f64 0 (-.f64 (/.f64 0 F) (/.f64 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simplify237.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

972×	`rational.json-simplify-5`
928×	`rational.json-simplify-1`
670×	`rational.json-simplify-24`
596×	`rational.json-simplify-63`
560×	`rational.json-simplify-6`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1166	21099
1	3488	17977

Stop Event

1×	node limit

Counts

733 → 799

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

eval789.0ms (3.7%)

Compiler: Compiled 63153 to 28561 computations (54.8% saved)

prune1.7s (8.2%)

Pruning

51 alts after pruning (42 fresh and 9 done)

	Pruned	Kept	Total
New	2945	20	2965
Fresh	8	22	30
Picked	0	1	1
Done	0	8	8
Total	2953	51	3004

Error

0.3b

Counts

3004 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	15.2b	(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
	15.3b	(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
	15.5b	(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
	14.9b	(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
✓	14.6b	(/.f64 (PI.f64) (/.f64 1 l))
✓	14.6b	(/.f64 l (/.f64 1 (PI.f64)))
	14.7b	(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
	14.6b	(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
	14.7b	(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
	14.8b	(-.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (.f64 (PI.f64) (.f64 l 1/2)))
	14.8b	(-.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 l (*.f64 (PI.f64) 1/2)))
	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	13.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) -2) (tan.f64 (.f64 l (PI.f64)))) F) (.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (neg.f64 F)))
✓	13.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
✓	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	19.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 F (.f64 (PI.f64) (/.f64 l F)))))
	17.5b	(-.f64 (.f64 (PI.f64) l) (-.f64 (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (.f64 (/.f64 1 F) 4)) (.f64 3 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
	17.6b	(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 2 F))) (.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (*.f64 F F)))))
	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/2 F))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))
	19.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
	14.7b	(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
	14.5b	(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))
	14.5b	(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
	16.1b	(+.f64 (.f64 (PI.f64) (.f64 (/.f64 l 1/6) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5)))))
	14.5b	(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
	23.6b	(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
	14.9b	(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
	14.5b	(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
	23.9b	(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
	14.6b	(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
	15.9b	(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
	15.5b	(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
	15.2b	(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
✓	14.9b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
	15.0b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
	15.2b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
	14.9b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
	15.5b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
	14.9b	(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
	16.0b	(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
	14.8b	(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
	15.1b	(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
	15.2b	(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
	53.9b	(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
✓	14.5b	(*.f64 l (PI.f64))
	53.7b	(.f64 -1 (/.f64 (.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))) (pow.f64 F 2)))
✓	53.7b	(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
	53.6b	(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))

Compiler

Compiled 774 to 575 computations (25.7% saved)

regimes1.1s (5.2%)

Counts

90 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.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 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (.f64 (PI.f64) (.f64 l 1/2)))
(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
(-.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 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (neg.f64 F)))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 -1 (*.f64 (PI.f64) (/.f64 l F))) (neg.f64 F)))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 2 (.f64 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 3/2) (.f64 (PI.f64) -1/2)))
(.f64 -1 (/.f64 (.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))) (pow.f64 F 2)))
(+.f64 (.f64 (PI.f64) (.f64 (/.f64 l 1/6) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (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 (tan.f64 (.f64 (PI.f64) l)) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) F))
(-.f64 (/.f64 (PI.f64) (/.f64 1 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 -1 (/.f64 F (/.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 -1 F)) (neg.f64 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 2 F) (.f64 (tan.f64 (.f64 (PI.f64) l)) (/.f64 1/2 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (.f64 F (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (/.f64 F (/.f64 2 F))))
(/.f64 1 (/.f64 1 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 (/.f64 1 F) (.f64 (tan.f64 (*.f64 (PI.f64) l)) 2))))
(-.f64 (/.f64 1/2 (/.f64 (/.f64 1 (.f64 (PI.f64) 2)) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (/.f64 3 (.f64 F F)) (/.f64 2 (.f64 F F))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (-.f64 (+.f64 l (+.f64 l (+.f64 l l))) (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (-.f64 (/.f64 (+.f64 l (+.f64 l (+.f64 l l))) (/.f64 1 (PI.f64))) (/.f64 (+.f64 l (+.f64 l l)) (/.f64 1 (PI.f64)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l))) (.f64 (PI.f64) (+.f64 l l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) (/.f64 F (/.f64 2 F))) (.f64 (neg.f64 (tan.f64 (.f64 l (PI.f64)))) (/.f64 1 (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (-.f64 (.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) (.f64 (/.f64 1 F) 4)) (.f64 3 (/.f64 (tan.f64 (.f64 l (PI.f64))) (*.f64 F F)))))
(-.f64 (-.f64 (+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 (PI.f64) (+.f64 l l))) (+.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (+.f64 l l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(+.f64 (.f64 (PI.f64) (+.f64 l l)) (.f64 1/2 (-.f64 (.f64 (PI.f64) (-.f64 l (/.f64 l (pow.f64 F 2)))) (+.f64 (.f64 (PI.f64) (+.f64 l l)) (*.f64 (PI.f64) (+.f64 l (/.f64 l (pow.f64 F 2))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (/.f64 (-.f64 (.f64 (tan.f64 (.f64 l (PI.f64))) -2) (tan.f64 (.f64 l (PI.f64)))) F) (.f64 2 (/.f64 (tan.f64 (.f64 l (PI.f64))) F))) (neg.f64 F)))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))

Calls

6 calls:

462.0ms	F
183.0ms	l
178.0ms	(*.f64 (PI.f64) l)
100.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
99.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.3b	3	`F`
0.6b	3	`l`
5.8b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.6b	3	`(*.f64 (PI.f64) l)`
7.8b	2	`(/.f64 1 (*.f64 F F))`
7.8b	2	`(*.f64 F F)`

Compiler

Compiled 1297 to 642 computations (50.5% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14023337891704.896	397321684217154500.0
0.0ms	-1.4565060061163961e+27	-966553139100569900.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes510.0ms (2.4%)

Counts

70 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.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 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (.f64 (PI.f64) (.f64 l 1/2)))
(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
(-.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 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (neg.f64 F)))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 -1 (*.f64 (PI.f64) (/.f64 l F))) (neg.f64 F)))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 2 (.f64 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 3/2) (.f64 (PI.f64) -1/2)))
(.f64 -1 (/.f64 (.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))) (pow.f64 F 2)))
(+.f64 (.f64 (PI.f64) (.f64 (/.f64 l 1/6) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (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 (tan.f64 (.f64 (PI.f64) l)) F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 F) (tan.f64 (*.f64 (PI.f64) l))) F))

Outputs
(*.f64 l (PI.f64))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))

Calls

6 calls:

121.0ms	F
118.0ms	l
89.0ms	(*.f64 (PI.f64) l)
89.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
36.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.3b	3	`F`
0.6b	3	`l`
5.8b	3	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
0.6b	3	`(*.f64 (PI.f64) l)`
7.8b	2	`(/.f64 1 (*.f64 F F))`
7.8b	2	`(*.f64 F F)`

Compiler

Compiled 880 to 504 computations (42.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14023337891704.896	397321684217154500.0
0.0ms	-1.4565060061163961e+27	-966553139100569900.0

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes375.0ms (1.8%)

Counts

66 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.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 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (.f64 (PI.f64) (.f64 l 1/2)))
(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
(-.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 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (neg.f64 F)))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 -1 (*.f64 (PI.f64) (/.f64 l F))) (neg.f64 F)))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1/2 F) (.f64 2 (.f64 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (.f64 l 1/2) (.f64 1/2 (PI.f64))) (.f64 (.f64 l 3/2) (.f64 (PI.f64) -1/2)))
(.f64 -1 (/.f64 (.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))) (pow.f64 F 2)))
(+.f64 (.f64 (PI.f64) (.f64 (/.f64 l 1/6) 2)) (neg.f64 (.f64 (PI.f64) (+.f64 (/.f64 l 1/6) (.f64 l 5)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (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 (PI.f64) (/.f64 (/.f64 l F) F)))
(+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (.f64 l 1/2))))

Calls

5 calls:

108.0ms	F
81.0ms	l
81.0ms	(*.f64 (PI.f64) l)
53.0ms	(/.f64 1 (*.f64 F F))
34.0ms	(*.f64 F F)

Results

Error	Segments	Branch
7.6b	3	`F`
0.9b	3	`l`
0.9b	3	`(*.f64 (PI.f64) l)`
7.8b	2	`(/.f64 1 (*.f64 F F))`
7.8b	2	`(*.f64 F F)`

Compiler

Compiled 810 to 478 computations (41% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	14023337891704.896	397321684217154500.0
0.0ms	-169343271412760.97	-179492.11160278058

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes339.0ms (1.6%)

Counts

58 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.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 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) (.f64 l 3)) (*.f64 (PI.f64) (+.f64 l l)))
(-.f64 (.f64 (PI.f64) (/.f64 l 2/3)) (.f64 l (*.f64 (PI.f64) 1/2)))
(-.f64 (.f64 (/.f64 (PI.f64) 1/4) l) (.f64 (PI.f64) (*.f64 l 3)))
(-.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) (.f64 (PI.f64) (.f64 l 1/2)))
(-.f64 (.f64 1/2 (.f64 (PI.f64) (.f64 l 3))) (.f64 (*.f64 l (PI.f64)) 1/2))
(-.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 (PI.f64) (/.f64 l F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (neg.f64 F)) (neg.f64 F)))
(-.f64 (.f64 (.f64 (PI.f64) (+.f64 l l)) 2) (.f64 (PI.f64) (.f64 l 3)))
(-.f64 l (-.f64 (+.f64 l (.f64 l (.f64 (PI.f64) -2))) (*.f64 l (neg.f64 (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 -1 (*.f64 (PI.f64) (/.f64 l F))) (neg.f64 F)))

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

Calls

5 calls:

73.0ms	F
72.0ms	l
69.0ms	(*.f64 (PI.f64) l)
60.0ms	(*.f64 F F)
47.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
11.9b	3	`F`
1.0b	3	`l`
1.0b	3	`(*.f64 (PI.f64) l)`
12.8b	3	`(/.f64 1 (*.f64 F F))`
12.8b	3	`(*.f64 F F)`

Compiler

Compiled 698 to 412 computations (41% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.397011773163338e-40	1.2438526926152023e-33
0.0ms	-169343271412760.97	-179492.11160278058

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes175.0ms (0.8%)

Counts

40 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(*.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64))
(.f64 (.f64 l (PI.f64)) (-.f64 1 (/.f64 1 (pow.f64 F 2))))
(+.f64 (.f64 (PI.f64) (/.f64 l 4/3)) (.f64 (PI.f64) (*.f64 l 1/4)))
(-.f64 (.f64 l (.f64 (PI.f64) 3/2)) (.f64 l (.f64 (PI.f64) 1/2)))

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

Calls

3 calls:

61.0ms	F
51.0ms	l
51.0ms	(*.f64 (PI.f64) l)

Results

Error	Segments	Branch
12.2b	3	`F`
5.2b	3	`l`
5.2b	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 470 to 317 computations (32.6% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.397011773163338e-40	1.2438526926152023e-33
0.0ms	-169343271412760.97	-179492.11160278058

Compiler

Compiled 19 to 14 computations (26.3% saved)

regimes179.0ms (0.8%)

Counts

36 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l)))
(.f64 -1 (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))

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

Calls

3 calls:

61.0ms	(*.f64 (PI.f64) l)
61.0ms	l
46.0ms	F

Results

Error	Segments	Branch
12.2b	3	`F`
12.8b	3	`l`
12.8b	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 428 to 291 computations (32% saved)

bsearch141.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	5.460740273917595e-32	3.4087276275032236e-26
108.0ms	7.120589410829989e-171	6.057801373917123e-161

Results

94.0ms	86×	body	2048	valid
25.0ms	171×	body	256	valid
11.0ms	32×	body	1024	valid
4.0ms	15×	body	512	valid
1.0ms	6×	body	256	infinite

Compiler

Compiled 363 to 299 computations (17.6% saved)

regimes264.0ms (1.2%)

Counts

34 → 3

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2))))
(*.f64 l (PI.f64))

Calls

3 calls:

122.0ms	(*.f64 (PI.f64) l)
87.0ms	l
43.0ms	F

Results

Error	Segments	Branch
12.4b	3	`F`
12.8b	3	`l`
12.8b	3	`(*.f64 (PI.f64) l)`

Compiler

Compiled 410 to 280 computations (31.7% saved)

bsearch201.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
71.0ms	5.460740273917595e-32	3.4087276275032236e-26
130.0ms	2.0076679133215606e-159	1.0240819417404114e-148

Results

119.0ms	92×	body	2048	valid
48.0ms	45×	body	1024	valid
20.0ms	137×	body	256	valid
10.0ms	30×	body	512	valid

Compiler

Compiled 344 to 280 computations (18.6% saved)

regimes58.0ms (0.3%)

Accuracy

Total -1.9b remaining (-13.3%)

Threshold costs -1.9b (-13.3%)

Counts

33 → 1

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(/.f64 l (/.f64 1 (PI.f64)))
(/.f64 (PI.f64) (/.f64 1 l))
(*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))
(+.f64 l (-.f64 (*.f64 l (PI.f64)) l))
(/.f64 1/2 (/.f64 (/.f64 1/2 l) (PI.f64)))
(/.f64 1/2 (/.f64 (/.f64 1/2 (PI.f64)) l))
(/.f64 1 (/.f64 1 (*.f64 l (PI.f64))))
(/.f64 1 (/.f64 1 (*.f64 (PI.f64) l)))
(/.f64 1 (/.f64 (/.f64 1 l) (PI.f64)))
(.f64 (PI.f64) (+.f64 (/.f64 l 2/3) (.f64 l -1/2)))
(.f64 (PI.f64) (-.f64 (.f64 l 5) (*.f64 l 4)))
(.f64 (PI.f64) (-.f64 (.f64 l 6) (*.f64 l 5)))
(/.f64 (+.f64 l (*.f64 l -3)) (/.f64 -2 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (/.f64 -2/3 l))))
(.f64 (PI.f64) (-.f64 (+.f64 l (.f64 l 3)) (*.f64 l 3)))
(/.f64 (-.f64 (*.f64 l 5) (/.f64 l 1/6)) (/.f64 -1 (PI.f64)))
(.f64 (.f64 (PI.f64) -2) (-.f64 (neg.f64 l) (/.f64 1/2 (/.f64 -1 l))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/3) (*.f64 l -3/2))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (*.f64 (/.f64 1 l) -2/3))))
(/.f64 (PI.f64) (/.f64 1 (-.f64 (+.f64 l (.f64 l 3)) (.f64 l 3))))
(/.f64 (-.f64 (.f64 l 1/2) (.f64 1/2 (*.f64 l 3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 2 (.f64 l 6)) (+.f64 (.f64 l 6) (*.f64 l 5))))
(.f64 (PI.f64) (-.f64 (+.f64 (.f64 l 6) (.f64 l 5)) (.f64 2 (*.f64 l 5))))
(/.f64 (-.f64 (neg.f64 (.f64 l 3)) (neg.f64 (+.f64 l (.f64 l 3)))) (/.f64 1 (PI.f64)))
(*.f64 (PI.f64) (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (/.f64 l -1/3)))))
(*.f64 (+.f64 (neg.f64 l) (-.f64 (/.f64 l -1/3) (+.f64 (/.f64 l -1/2) (neg.f64 l)))) (neg.f64 (PI.f64)))
(.f64 (PI.f64) (+.f64 (.f64 l -3/2) (+.f64 (+.f64 l l) (-.f64 (*.f64 l -3/2) (/.f64 l -1/2)))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (-.f64 (/.f64 l -1/6) (/.f64 (+.f64 l (+.f64 l l)) -2/3))))
(/.f64 (-.f64 (+.f64 (/.f64 l -1/3) (/.f64 l -1/2)) (+.f64 (neg.f64 l) (/.f64 l -1/3))) (/.f64 -1 (PI.f64)))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 -8/3 l) (+.f64 (/.f64 -2/3 l) (/.f64 -4/3 l))))))
(.f64 (PI.f64) (-.f64 (.f64 l -1/2) (/.f64 1 (-.f64 (/.f64 (+.f64 (/.f64 1/2 l) (/.f64 1/2 l)) -3/4) (/.f64 -2/3 l)))))
(/.f64 (-.f64 (+.f64 (.f64 l 3) (+.f64 l (.f64 l 3))) (+.f64 (+.f64 l (.f64 l 3)) (+.f64 l (.f64 l 3)))) (/.f64 -1 (PI.f64)))

Outputs
(*.f64 l (PI.f64))

Calls

3 calls:

17.0ms	l
16.0ms	(*.f64 (PI.f64) l)
15.0ms	F

Results

Error	Segments	Branch
14.5b	1	`F`
14.5b	1	`l`
14.5b	1	`(*.f64 (PI.f64) l)`

Compiler

Compiled 402 to 275 computations (31.6% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	712

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000013287555072) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000013287555072) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1225996432692711/3064991081731777716716694054300618367237478244367204352) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1225996432692711/3064991081731777716716694054300618367237478244367204352) (.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64)) (*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))))
(if (<=.f64 F 7597989933253771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 l (PI.f64)) (if (<=.f64 F 1062769888367475/348449143727040986586495598010130648530944) (.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l))) (*.f64 l (PI.f64))))
(if (<=.f64 F 6191657103222841/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 l (PI.f64)) (if (<=.f64 F 7307508186654515/45671926166590716193865151022383844364247891968) (.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2)))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Outputs
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000013287555072) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l))))) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -1000000000000000013287555072) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 20000000000000) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (+.f64 (.f64 (/.f64 (PI.f64) (/.f64 2/3 l)) 1/2) (.f64 1/2 (.f64 (PI.f64) (*.f64 l 1/2))))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1225996432692711/3064991081731777716716694054300618367237478244367204352) (-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 (/.f64 l F) F))) (.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))))
(if (<=.f64 (.f64 (PI.f64) l) -100000000000000) (.f64 l (PI.f64)) (if (<=.f64 (.f64 (PI.f64) l) 1225996432692711/3064991081731777716716694054300618367237478244367204352) (.f64 (-.f64 l (/.f64 l (pow.f64 F 2))) (PI.f64)) (*.f64 (PI.f64) (/.f64 1 (/.f64 1 l)))))
(if (<=.f64 F 7597989933253771/126633165554229521438977290762059361297987250739820462036000284719563379254544315991201997343356439034674007770120263341747898897565056619503383631412169301973302667340133957632) (.f64 l (PI.f64)) (if (<=.f64 F 1062769888367475/348449143727040986586495598010130648530944) (.f64 -1 (/.f64 (PI.f64) (/.f64 (pow.f64 F 2) l))) (*.f64 l (PI.f64))))
(if (<=.f64 F 6191657103222841/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992) (.f64 l (PI.f64)) (if (<=.f64 F 7307508186654515/45671926166590716193865151022383844364247891968) (.f64 l (/.f64 (PI.f64) (neg.f64 (pow.f64 F 2)))) (*.f64 l (PI.f64))))
(*.f64 l (PI.f64))

Compiler

Compiled 255 to 156 computations (38.8% saved)

soundness195.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1320×	`rational.json-simplify-5`
1320×	`rational.json-simplify-5`
1246×	`rational.json-simplify-37`
1246×	`rational.json-simplify-37`
1024×	`rational.json-simplify-67`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	27	45
2	60	39
3	160	39
4	576	39
5	2831	39
6	4851	39
7	7331	39
0	14	45
1	27	45
2	60	39
3	160	39
4	576	39
5	2831	39
6	4851	39
7	7331	39

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 112 to 40 computations (64.3% saved)

end129.0ms (0.6%)

Compiler: Compiled 241 to 119 computations (50.6% saved)