Details

analyze1.1s (13.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.2%	0.1%	7
18.7%	81.2%	0.1%	8
29.7%	69.5%	0.9%	9
30.4%	67.9%	1.7%	10
36.3%	61.1%	2.6%	11
36.9%	59.5%	3.6%	12
39.9%	55.9%	4.2%	13
40.2%	54.9%	4.9%	14

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.3s (40%)

Results

1.2s	1046×	body	2048	valid
906.0ms	1919×	body	1024	valid
601.0ms	4194×	body	128	valid
252.0ms	741×	body	512	valid
232.0ms	62×	body	4096	valid
69.0ms	294×	body	256	valid
23.0ms	178×	body	128	invalid
8.0ms	12×	body	2048	invalid
4.0ms	6×	body	8192	exit

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess60.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

816×	`fma-def_binary64`
780×	`fma-neg_binary64`
432×	`times-frac_binary64`
354×	`div-sub_binary64`
199×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	103	40
3	265	40
4	450	40
5	730	40
6	998	40
7	1398	40
8	2553	40
9	4219	40
10	4830	40
11	4880	40
12	4910	40
13	4924	40
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 16 to 10 computations (37.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

297×	`fma-def_binary64`
157×	`fma-neg_binary64`
49×	`cancel-sign-sub-inv_binary64`
37×	`associate-/l*_binary64`
33×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	56	20
3	138	20
4	233	20
5	371	20
6	497	20
7	637	20
8	804	20
9	1074	20
10	1128	20

Stop Event

1×

saturated

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)))

prune3.0ms (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

17.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize7.0ms (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)
✓	5.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	31.0b	(tan.f64 (*.f64 (PI.f64) l))

series92.0ms (1.1%)

Counts

4 → 60

Calls

18 calls:

Time	Variable		Point	Expression
11.0ms	l	@	inf	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
10.0ms	l	@	-inf	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
8.0ms	F	@	inf	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
7.0ms	F	@	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
7.0ms	F	@	-inf	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))

rewrite73.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
276×	`fma-def_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
158×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	200	45
2	2885	45

Stop Event

1×	node limit

Counts

4 → 197

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l)))) 1)))) (#(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 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sin.f64 (.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (neg.f64 (cos.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (tan.f64 (.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 (.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 F -2) (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) 1) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) (cbrt.f64 (pow.f64 F 4))) (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 F 4))) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) (cbrt.f64 (.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 F F) (tan.f64 (.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F (neg.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l)) (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (PI.f64)) l))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 (PI.f64) l)) 1))))))
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(sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))))

simplify49.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

401×	`distribute-rgt-neg-in_binary64`
398×	`distribute-lft-neg-in_binary64`
304×	`distribute-neg-frac_binary64`
268×	`fma-neg_binary64`
241×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	1516
1	161	1504
2	582	1502
3	3112	1497

Stop Event

1×	node limit

Counts

257 → 226

Calls

Call 1

Inputs
(*.f64 (PI.f64) l)
(+.f64 (.f64 (PI.f64) l) (.f64 1/3 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 2/15 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 17/315 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 2/15 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(-.f64 (.f64 (PI.f64) l) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(-.f64 (.f64 (PI.f64) l) (+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))

Outputs
(*.f64 (PI.f64) l)
(+.f64 (.f64 (PI.f64) l) (.f64 1/3 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))
(fma.f64 (PI.f64) l (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 2/15 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))))
(fma.f64 (PI.f64) l (fma.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 2/15 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)))))
(+.f64 (.f64 (PI.f64) l) (+.f64 (.f64 17/315 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 2/15 (*.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))))))
(fma.f64 (PI.f64) l (fma.f64 17/315 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (fma.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 2/15 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))))))
(fma.f64 (PI.f64) l (fma.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (fma.f64 2/15 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 17/315 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l)))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (*.f64 F F))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 F F)))))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 l 5) (.f64 F F)) (pow.f64 (PI.f64) 5)) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(fma.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (.f64 F F)) (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 F F))))))
(fma.f64 17/315 (.f64 (/.f64 (pow.f64 l 7) F) (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 l 5) (.f64 F F)) (pow.f64 (PI.f64) 5)) (fma.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(-.f64 (.f64 (PI.f64) l) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))
(-.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/3)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (*.f64 F F))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))))
(-.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F)))) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 2/15 (.f64 (/.f64 (pow.f64 l 5) (.f64 F F)) (pow.f64 (PI.f64) 5)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) -1/3 (.f64 (.f64 (/.f64 (pow.f64 l 5) (*.f64 F F)) (pow.f64 (PI.f64) 5)) -2/15)))
(-.f64 (.f64 (PI.f64) l) (+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (.f64 F F)) (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (*.f64 F F)))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 17/315 (.f64 (/.f64 (pow.f64 l 7) F) (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (/.f64 (.f64 (PI.f64) l) (.f64 F F))))))
(-.f64 (fma.f64 (PI.f64) l (.f64 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) -17/315)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 l 5) (.f64 F F)) (pow.f64 (PI.f64) 5)) (.f64 l (/.f64 (PI.f64) (.f64 F F))))))
(-.f64 (fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/3)) (.f64 F F))) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 l 5) (.f64 F F)) (pow.f64 (PI.f64) 5)) (.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F))))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(.f64 -1 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (PI.f64) l)
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (*.f64 F F))))

prune328.0ms (4%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	224	18	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	226	18	244

Error

11.5b

Counts

244 → 18

Alt Table

Status	Error	Program
	28.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	42.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	25.0b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	43.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	22.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	18.4b	(fma.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	18.3b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))
	17.7b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	37.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	36.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	37.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	41.3b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	17.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	45.9b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
	37.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	35.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))

Compiler

Compiled 6500 to 2904 computations (55.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	31.0b	(tan.f64 (*.f64 (PI.f64) l))

series87.0ms (1.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
12.0ms	F	@	-inf	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
11.0ms	l	@	-inf	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
9.0ms	l	@	inf	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
8.0ms	F	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
7.0ms	F	@	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
259×	`pow2_binary64`
186×	`pow1/3_binary64`
179×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	23
2	2683	23

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs
((#(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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .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)) F) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 F (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 (*.f64 F F) 1))))) (#(struct:change #<rule egg-rr> 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(PI.f64) l)) F) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))))

simplify37.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
774×	`associate-/r/_binary64`
694×	`associate-/l/_binary64`
238×	`times-frac_binary64`
206×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	1130
1	138	1122
2	434	1118
3	2265	1118

Stop Event

1×	node limit

Counts

146 → 117

Calls

Call 1

Inputs
(/.f64 (*.f64 (PI.f64) l) F)
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F)))
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) F)) (+.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))

Outputs
(/.f64 (*.f64 (PI.f64) l) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 l (/.f64 (PI.f64) F))
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F)))
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3)))))
(fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3))) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 l 3) F) (pow.f64 (PI.f64) 3)) (.f64 l (/.f64 (PI.f64) F)))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 l (/.f64 (PI.f64) F)))
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F))))
(+.f64 (/.f64 (.f64 (PI.f64) l) F) (fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F) (*.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3))))))
(+.f64 (/.f64 l (/.f64 F (PI.f64))) (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F (pow.f64 l 5))) (*.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3))))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 l 3) F) (pow.f64 (PI.f64) 3)) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) F)) (*.f64 l (/.f64 (PI.f64) F))))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) F)) (fma.f64 (/.f64 2/15 F) (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (*.f64 l (/.f64 (PI.f64) F))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) F)) (+.f64 (/.f64 (.f64 (PI.f64) l) F) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) F)))))
(fma.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) F) (+.f64 (/.f64 (.f64 (PI.f64) l) F) (fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) F) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3)))))))
(+.f64 (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 F (pow.f64 l 5))) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F (pow.f64 l 3))))) (fma.f64 17/315 (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) (pow.f64 l 7)) (/.f64 l (/.f64 F (PI.f64)))))
(fma.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 l 3) F) (pow.f64 (PI.f64) 3)) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 l (/.f64 (PI.f64) F)))))
(fma.f64 (/.f64 2/15 F) (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (fma.f64 (/.f64 17/315 F) (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 l (/.f64 (PI.f64) F)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (*.f64 F F))))
(fma.f64 1/3 (/.f64 (pow.f64 l 3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 3))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 l (/.f64 (PI.f64) (.f64 F F)) (.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 F F)) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (*.f64 F F)))))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (pow.f64 l 5)) (fma.f64 1/3 (/.f64 (pow.f64 l 3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 3))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 1/3 (/.f64 (pow.f64 l 3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 3))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 (.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (pow.f64 l 5) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(fma.f64 17/315 (/.f64 (pow.f64 (PI.f64) 7) (/.f64 (.f64 F F) (pow.f64 l 7))) (fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 F F)) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (.f64 F F))))))
(fma.f64 17/315 (/.f64 (pow.f64 (PI.f64) 7) (/.f64 F (/.f64 (pow.f64 l 7) F))) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (pow.f64 l 5)) (fma.f64 1/3 (/.f64 (pow.f64 l 3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 3))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 17/315 (/.f64 (pow.f64 (PI.f64) 7) (.f64 (/.f64 F (pow.f64 l 7)) F)) (fma.f64 1/3 (/.f64 (pow.f64 l 3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 3))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 (.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (pow.f64 l 5) (/.f64 (PI.f64) (/.f64 (*.f64 F F) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))

prune313.0ms (3.8%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	174	7	181
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	179	20	199

Error

11.4b

Counts

199 → 20

Alt Table

Status	Error	Program
	28.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
▶	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	42.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	25.0b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	41.3b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	12.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 F))) (/.f64 1 F)))
	45.9b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
	11.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
	43.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	18.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	18.4b	(fma.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	37.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	18.3b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))
	17.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	36.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	26.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
	37.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	17.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	37.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 4382 to 2034 computations (53.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	31.0b	(tan.f64 (*.f64 (PI.f64) l))

series46.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	l	@	-inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
10.0ms	l	@	inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
7.0ms	F	@	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
7.0ms	F	@	inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
7.0ms	F	@	-inf	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
88×	`*-un-lft-identity_binary64`
88×	`add-sqr-sqrt_binary64`
88×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2340	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 1 F) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 2) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (*.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (/.f64 1 (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) 1) (/.f64 (/.f64 1 F) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 1 F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (pow.f64 (cbrt.f64 F) 2)) (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 F) 2)) (/.f64 (sqrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (cbrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (sqrt.f64 F)) (/.f64 (/.f64 1 F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 F)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) (sqrt.f64 F)) (/.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (sqrt.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) 1))))))

simplify28.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/r/_binary64`
440×	`associate-/l/_binary64`
439×	`fma-def_binary64`
424×	`associate-*l/_binary64`
337×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	610
1	98	604
2	334	604
3	1809	604

Stop Event

1×	node limit

Counts

63 → 49

Calls

Call 1

Inputs
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))

Outputs
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(/.f64 (.f64 (PI.f64) l) (.f64 F F))
(.f64 (/.f64 (PI.f64) (.f64 F F)) l)
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(*.f64 l (/.f64 (/.f64 (PI.f64) F) F))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3)))))
(fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))
(fma.f64 l (/.f64 (/.f64 (PI.f64) F) F) (.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (*.f64 F F)))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 F F)) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))))))
(fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 (/.f64 (PI.f64) (.f64 F F)) l)))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 l (/.f64 (PI.f64) (.f64 F F)))))
(fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (*.f64 l (/.f64 (/.f64 (PI.f64) F) F))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(fma.f64 17/315 (/.f64 (pow.f64 (PI.f64) 7) (/.f64 (.f64 F F) (pow.f64 l 7))) (fma.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (.f64 F F)) (+.f64 (/.f64 (.f64 (PI.f64) l) (.f64 F F)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) (pow.f64 l 3)))))))
(fma.f64 17/315 (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) (/.f64 (pow.f64 l 7) F)) (fma.f64 2/15 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) (/.f64 (pow.f64 l 5) F)) (fma.f64 1/3 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (/.f64 (pow.f64 l 3) F)) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))))
(fma.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 l (/.f64 (PI.f64) (.f64 F F))))))
(fma.f64 l (/.f64 (/.f64 (PI.f64) F) F) (fma.f64 1/3 (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) (fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (*.f64 F F)))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (cos.f64 (.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))

prune291.0ms (3.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	161	5	166
Fresh	5	14	19
Picked	1	0	1
Done	0	0	0
Total	167	19	186

Error

11.4b

Counts

186 → 19

Alt Table

Status	Error	Program
	36.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	18.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) F))
	45.9b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
	11.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
	43.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	12.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))) F))
	20.9b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	18.4b	(fma.f64 (.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
▶	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	37.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	26.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3) 1/3) F))
	37.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	28.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	42.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	37.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	41.3b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	17.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	18.3b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))

Compiler

Compiled 3943 to 1632 computations (58.6% saved)

localize8.0ms (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)
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	31.0b	(tan.f64 (*.f64 (PI.f64) l))

series111.0ms (1.4%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
13.0ms	F	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
12.0ms	F	@	0	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
12.0ms	F	@	inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
12.0ms	l	@	-inf	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
11.0ms	l	@	-inf	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`
163×	`log-pow_binary64`
150×	`log-div_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	213	23
2	2902	23

Stop Event

1×	node limit

Counts

2 → 82

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (cbrt.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 F (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) 2) (*.f64 (cbrt.f64 F) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 F) (*.f64 (sqrt.f64 F) (/.f64 1 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 F) (/.f64 1 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (tan.f64 (*.f64 (PI.f64) l))) F)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) 1) (/.f64 (cbrt.f64 F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) 1) (/.f64 (sqrt.f64 F) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (/.f64 F (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 F) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (/.f64 (sqrt.f64 F) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 F (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 F) 2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (/.f64 (cbrt.f64 F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 F 3) (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -2)) (*.f64 (/.f64 1 (cbrt.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2)) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1/2) (*.f64 (pow.f64 F -1/2) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change 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(PI.f64) l))) 2))) (/.f64 (/.f64 1 F) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2))) (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 F -1/2) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 2))) (/.f64 (pow.f64 F -1/2) (cbrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 (/.f64 1 F) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 F -2)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) (/.f64 (/.f64 1 (cbrt.f64 F)) (sqrt.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 F) 1) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 F) (neg.f64 F)) (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 F -2) 1) (tan.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 F -2) (pow.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 2)) (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 F -2) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 1 F) (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 F) (/.f64 (neg.f64 F) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (/.f64 (pow.f64 F -2) F) (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))))

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

515×	`distribute-rgt-neg-in_binary64`
430×	`unswap-sqr_binary64`
382×	`associate-r_binary64`
376×	`associate-l_binary64`
325×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1112
1	180	1106
2	614	1102
3	3546	1098

Stop Event

1×	node limit

Counts

130 → 101

Calls

Call 1

Inputs
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (*.f64 (PI.f64) l))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 1/3 (.f64 (PI.f64) (.f64 l F))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 F (pow.f64 l 3))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F))))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))

Outputs
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 F (*.f64 (PI.f64) l))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 1/3 (.f64 (PI.f64) (.f64 l F))))
(+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 -1/3 (.f64 (.f64 (PI.f64) F) l)))
(+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (.f64 F (.f64 (PI.f64) l)) -1/3))
(fma.f64 (.f64 F (.f64 (PI.f64) l)) -1/3 (/.f64 F (*.f64 (PI.f64) l)))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 F (pow.f64 l 3))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 1/3 (.f64 (.f64 (PI.f64) F) l) (.f64 1/45 (.f64 (.f64 (pow.f64 (PI.f64) 3) F) (pow.f64 l 3)))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 1/3 (.f64 F (.f64 (PI.f64) l)) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 F (pow.f64 l 3))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 F (+.f64 (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (PI.f64) (.f64 l 1/3)))))
(+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) -1/45)))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 1/3 (.f64 (.f64 (PI.f64) F) l) (fma.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 F (pow.f64 l 5))) (.f64 1/45 (.f64 (.f64 (pow.f64 (PI.f64) 3) F) (pow.f64 l 3))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 1/3 (.f64 F (.f64 (PI.f64) l)) (fma.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 F (pow.f64 l 3))) (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 F (pow.f64 l 5)))))))
(-.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 F (pow.f64 l 3))) (.f64 F (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5))) (.f64 (PI.f64) (.f64 l 1/3))))))
(+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) -1/45))) (.f64 (pow.f64 (PI.f64) 5) (.f64 (*.f64 F (pow.f64 l 5)) -2/945))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (.f64 F (cos.f64 (.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(/.f64 F (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (.f64 (PI.f64) l))))
(.f64 (/.f64 F (sin.f64 (.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))
(.f64 (cos.f64 (.f64 (PI.f64) l)) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
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(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (*.f64 (PI.f64) l) (pow.f64 F 2))
(/.f64 (PI.f64) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 (PI.f64) F) (/.f64 l F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))
(+.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) (pow.f64 l 3)))))
(fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2)))))
(fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))))))
(fma.f64 2/15 (/.f64 (pow.f64 l 5) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 5))) (fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (*.f64 (/.f64 (PI.f64) F) (/.f64 l F))))
(fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (.f64 l (/.f64 (PI.f64) (*.f64 F F)))))
(+.f64 (.f64 17/315 (/.f64 (.f64 (pow.f64 (PI.f64) 7) (pow.f64 l 7)) (pow.f64 F 2))) (+.f64 (.f64 2/15 (/.f64 (.f64 (pow.f64 (PI.f64) 5) (pow.f64 l 5)) (pow.f64 F 2))) (+.f64 (/.f64 (.f64 (PI.f64) l) (pow.f64 F 2)) (.f64 1/3 (/.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)) (pow.f64 F 2))))))
(fma.f64 17/315 (/.f64 (pow.f64 (PI.f64) 7) (/.f64 (.f64 F F) (pow.f64 l 7))) (fma.f64 2/15 (/.f64 (pow.f64 (PI.f64) 5) (/.f64 (.f64 F F) (pow.f64 l 5))) (+.f64 (/.f64 (PI.f64) (/.f64 (.f64 F F) l)) (.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (*.f64 F F) (pow.f64 l 3)))))))
(fma.f64 17/315 (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) (/.f64 (pow.f64 l 7) F)) (fma.f64 2/15 (/.f64 (pow.f64 l 5) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 5))) (fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))))
(fma.f64 2/15 (.f64 (pow.f64 l 5) (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (fma.f64 17/315 (.f64 (pow.f64 l 7) (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F))) (fma.f64 1/3 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) (pow.f64 l 3))) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 F (.f64 F (cos.f64 (.f64 (PI.f64) l)))))

prune186.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	10	8	18
Picked	1	0	1
Done	0	0	0
Total	173	11	184

Error

1.4b

Counts

184 → 11

Alt Table

Status	Error	Program
	43.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	12.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 F) 2)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (cbrt.f64 F))) F))
	20.9b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	1.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) -1/45))) (.f64 (pow.f64 (PI.f64) 5) (.f64 (.f64 F (pow.f64 l 5)) -2/945))))))
	35.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	1.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))
	45.9b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
	17.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	37.6b	(fma.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	18.3b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))
	37.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 3669 to 1636 computations (55.4% saved)

regimes1.6s (19.7%)

Accuracy

Total 0.4b remaining (17.5%)

Threshold costs 0.4b (17.5%)

Counts

222 → 1

Compiler

Compiled 31228 to 19852 computations (36.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
2×	`distribute-neg-frac_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	65
1	38	65
2	44	65
3	50	65
4	53	65
5	54	65

Stop Event

1×

saturated

Calls

Call 1

Inputs

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (*.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (*.f64 (PI.f64) l) -1/3 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) -1/45))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 F (pow.f64 l 5)) -2/945))))))

Outputs

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (*.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (*.f64 (PI.f64) l) -1/3 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) -1/45))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 F (pow.f64 l 5)) -2/945))))))

(+.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (*.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (*.f64 (PI.f64) l) -1/3 (*.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) -1/45))) (*.f64 (pow.f64 (PI.f64) 5) (*.f64 (*.f64 F (pow.f64 l 5)) -2/945))))))

end243.0ms (3%)

Stop Event

1×

fuel

Compiler

Compiled 393 to 251 computations (36.1% saved)

Details

analyze1.1s (13.8%)

sample3.3s (40%)

preprocess60.0ms (0.7%)

simplify18.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series92.0ms (1.1%)

rewrite73.0ms (0.9%)

simplify49.0ms (0.6%)

prune328.0ms (4%)

localize9.0ms (0.1%)

series87.0ms (1.1%)

rewrite46.0ms (0.6%)

simplify37.0ms (0.4%)

prune313.0ms (3.8%)

localize7.0ms (0.1%)

series46.0ms (0.6%)

rewrite41.0ms (0.5%)

simplify28.0ms (0.3%)

prune291.0ms (3.5%)

localize8.0ms (0.1%)

series111.0ms (1.4%)

rewrite49.0ms (0.6%)

simplify41.0ms (0.5%)

prune186.0ms (2.3%)

regimes1.6s (19.7%)

simplify3.0ms (0%)

end243.0ms (3%)

Profiling