Details

analyze1.0s (13.6%)

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)

sample3.4s (46%)

Results

1.2s	1043×	body	2048	valid
1.1s	1957×	body	1024	valid
548.0ms	4192×	body	128	valid
245.0ms	703×	body	512	valid
200.0ms	52×	body	4096	valid
76.0ms	309×	body	256	valid
24.0ms	169×	body	128	invalid
10.0ms	13×	body	2048	invalid
2.0ms	3×	body	8192	exit

preprocess71.0ms (0.9%)

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)

simplify17.0ms (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)))

prune4.0ms (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

15.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	15.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	15.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize11.0ms (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)
✓	2.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	32.4b	(tan.f64 (*.f64 (PI.f64) l))

series16.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	F	@	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
2.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	l	@	0	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
1.0ms	l	@	0	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
1.0ms	l	@	inf	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))

rewrite78.0ms (1%)

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 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 log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))))))
((#(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 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 log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))))
((#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))))
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((x log1p.f64 (expm1.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))))))

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
483×	`associate-l_binary64`
329×	`associate-/l*_binary64`
303×	`times-frac_binary64`
167×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	104	2029
1	326	1943
2	1209	1830

Stop Event

1×	node limit

Counts

269 → 228

Calls

Call 1

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

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3)))))
(fma.f64 l (PI.f64) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3)))
(fma.f64 l (PI.f64) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 l 3))))
(+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (*.f64 -1/2 (pow.f64 (PI.f64) 3))))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3))))
(fma.f64 l (PI.f64) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (pow.f64 l 3)))))
(fma.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) 1/3) (fma.f64 l (PI.f64) (.f64 (pow.f64 l 5) (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)))))
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(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (.f64 F F)))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (*.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2)))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) -1/3) (.f64 (pow.f64 l 5) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))))) (.f64 -1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/120))) (.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (.f64 F F)))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 -1/6 (/.f64 F (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) 1/30)) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (*.f64 F F))))
(+.f64 (.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2)))) (+.f64 (.f64 (pow.f64 l 7) (-.f64 (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2))) (.f64 1/24 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 4)) (pow.f64 F 2))))) (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (.f64 (pow.f64 l 5) (-.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) (pow.f64 F 2)))) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (fma.f64 1/24 (pow.f64 (PI.f64) 5) (.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 1/24 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 4)))))) (.f64 1/5040 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) -1/3) (.f64 (pow.f64 l 5) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))))) (.f64 -1/120 (/.f64 (pow.f64 (PI.f64) 5) (*.f64 F F))))))))
(fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/720 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) 1/3) F) (/.f64 (pow.f64 (PI.f64) 4) F)))) (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) 7) F) F) 1/5040)) (fma.f64 (pow.f64 l 5) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (/.f64 (pow.f64 (PI.f64) 2) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) -1/120))) (.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (.f64 F F))))))
(fma.f64 (pow.f64 l 7) (+.f64 (fma.f64 -1/2 (/.f64 (-.f64 (.f64 (pow.f64 (PI.f64) 5) -1/30) (.f64 (.f64 (PI.f64) (pow.f64 (PI.f64) 4)) -1/6)) (/.f64 (.f64 F F) (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/72) F))) (.f64 (/.f64 (pow.f64 (PI.f64) 7) (.f64 F F)) -1/840)) (fma.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (.f64 F F))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 4) F) (/.f64 -1/6 (/.f64 F (PI.f64)))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) 1/30)) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (pow.f64 l 3)) (*.f64 F F)))))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F))))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(*.f64 l (PI.f64))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(+.f64 (.f64 l (PI.f64)) (.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) (pow.f64 F 2)))))
(fma.f64 l (PI.f64) (neg.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (*.f64 F F))))
(-.f64 (.f64 l (PI.f64)) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))

prune733.0ms (9.8%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	222	22	244
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	224	22	246

Error

12.9b

Counts

246 → 22

Alt Table

Status	Error	Program
	13.2b	(-.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)))
	20.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	21.4b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
	15.6b	(-.f64 (.f64 (PI.f64) l) (.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))))
	30.5b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	40.6b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	35.7b	(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))))
	15.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	40.6b	(.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))))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.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)))))) (.f64 F F)))
	45.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	39.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	35.7b	(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	16.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	15.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	20.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
	19.3b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	39.9b	(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)))

Compiler

Compiled 7267 to 3475 computations (52.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.2b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
✓	31.5b	(cos.f64 (*.f64 l (PI.f64)))
✓	32.4b	(sin.f64 (*.f64 l (PI.f64)))

series10.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`log-prod_binary64`
252×	`prod-diff_binary64`
179×	`pow1/3_binary64`
173×	`expm1-udef_binary64`
173×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	183	24
2	2430	24

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

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

Outputs

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

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

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

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-r_binary64`
523×	`associate-l_binary64`
417×	`fma-def_binary64`
337×	`cancel-sign-sub-inv_binary64`
195×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	721
1	261	684
2	855	654
3	4271	642

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

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

Outputs
(*.f64 l (PI.f64))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (*.f64 l (PI.f64)))
(fma.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (.f64 l (PI.f64)))
(fma.f64 l (PI.f64) (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(fma.f64 1/120 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (fma.f64 l (PI.f64) (.f64 -1/6 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (+.f64 (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (fma.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7)) (.f64 1/120 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5))))))
(fma.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 l (PI.f64) (fma.f64 1/120 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))))))
(fma.f64 l (PI.f64) (fma.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)) (fma.f64 1/120 (.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)) (.f64 -1/5040 (.f64 (pow.f64 l 7) (pow.f64 (PI.f64) 7))))))
1
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) 1)
(fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) 1) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1))
(fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (+.f64 1 (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) (.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 l l)) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) 1)) (.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))
(fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1)))
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (.f64 (pow.f64 l 3) (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (*.f64 (pow.f64 (PI.f64) 2) -1/2))))))
(fma.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (*.f64 (PI.f64) (/.f64 l F))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))))))) (pow.f64 l 7) (fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3))))) (pow.f64 l 5) (.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3)))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (pow.f64 l 7) (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (pow.f64 (PI.f64) 4) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F)) (fma.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F))))) (fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) F) (.f64 (pow.f64 (PI.f64) 2) -1/2)))))))
(fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64)))))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (.f64 (PI.f64) (/.f64 l F)))))
(fma.f64 (pow.f64 l 7) (-.f64 (.f64 (/.f64 -1/5040 F) (pow.f64 (PI.f64) 7)) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F)))) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 F (PI.f64))) 1/72)))) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 1/6 (/.f64 (pow.f64 (PI.f64) 5) F))) (fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 F 1/3)) (.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (cos.f64 (.f64 l (PI.f64))))

prune386.0ms (5.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	122	7	129
Fresh	13	8	21
Picked	1	0	1
Done	0	0	0
Total	136	15	151

Error

2.4b

Counts

151 → 15

Alt Table

Status	Error	Program
	40.6b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (*.f64 l (PI.f64))) F))) F))
	35.7b	(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))))
	34.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (sin.f64 1))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
	39.9b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
	16.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
▶	6.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3)) F))
	40.6b	(.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))))
	17.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	29.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
	35.7b	(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 3867 to 1607 computations (58.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
✓	1.6b	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
✓	4.5b	(.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
	32.4b	(sin.f64 (*.f64 l (PI.f64)))

series19.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
4.0ms	l	@	-inf	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F))
2.0ms	l	@	inf	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
1.0ms	F	@	0	(.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)
1.0ms	l	@	0	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)
1.0ms	l	@	-inf	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F)

rewrite79.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

671×	`prod-diff_binary64`
179×	`add-sqr-sqrt_binary64`
175×	`pow1_binary64`
173×	`*-un-lft-identity_binary64`
167×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	367	66
2	4750	66

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

Inputs

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

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

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) F) (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1))))))))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

779×	`associate-/r*_binary64`
656×	`times-frac_binary64`
504×	`fma-def_binary64`
265×	`associate-/l*_binary64`
120×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	2697
1	394	2679
2	1405	2499

Stop Event

1×	node limit

Counts

175 → 145

Calls

Call 1

Inputs
F
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 7)) (+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2)))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))))))
(+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (+.f64 (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (*.f64 l (PI.f64)) F)
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 7)) (+.f64 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)) (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2)))) (pow.f64 l 5)))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))))
(.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2)))))))
(+.f64 (.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))) (+.f64 (.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) (+.f64 (.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))))))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))

Outputs
F
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(.f64 -1/2 (.f64 (.f64 (.f64 l l) F) (pow.f64 (PI.f64) 2)))
(.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 F l) l)))
(.f64 F (.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))
(.f64 -1/2 (.f64 (.f64 (.f64 l l) F) (pow.f64 (PI.f64) 2)))
(.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 F l) l)))
(.f64 F (.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2)))) F)
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(fma.f64 (/.f64 l F) (/.f64 (PI.f64) F) (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3))))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)))) (.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
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(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1)))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (.f64 (pow.f64 (PI.f64) 2) -1/2) 1)))

prune400.0ms (5.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	174	15	189

Error

2.4b

Counts

189 → 15

Alt Table

Status	Error	Program
	40.6b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (*.f64 l (PI.f64))) F))) F))
	35.7b	(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))))
	34.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (sin.f64 1))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
	39.9b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
	16.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
✓	6.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3)) F))
	40.6b	(.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))))
	17.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	29.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
	35.7b	(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 6266 to 3388 computations (45.9% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.3b	(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (.f64 l (PI.f64))) F)))
	31.5b	(cos.f64 (*.f64 l (PI.f64)))
	32.4b	(sin.f64 (*.f64 l (PI.f64)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`log-prod_binary64`
234×	`prod-diff_binary64`
191×	`expm1-udef_binary64`
191×	`log1p-udef_binary64`
169×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	219	19
2	2695	10

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

Inputs
(.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (.f64 l (PI.f64))) F)))

Outputs

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

simplify33.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

498×	`distribute-rgt-in_binary64`
337×	`cancel-sign-sub-inv_binary64`
304×	`distribute-rgt-neg-in_binary64`
276×	`distribute-lft-neg-in_binary64`
204×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	677
1	172	642
2	515	617
3	2565	600

Stop Event

1×	node limit

Counts

57 → 42

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) l)
(*.f64 (PI.f64) (/.f64 l F))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (.f64 (/.f64 (PI.f64) F) l))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (.f64 (PI.f64) (/.f64 l F)))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (*.f64 (pow.f64 (PI.f64) 2) -1/2))) (pow.f64 l 5))))
(fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (.f64 (/.f64 (PI.f64) F) l)))
(fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30 (.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))) 1/6)) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (*.f64 (PI.f64) (/.f64 l F))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (+.f64 (.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (+.f64 (.f64 1/24 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 4))) (+.f64 (.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 (PI.f64) 2)))))) (pow.f64 l 7)) (+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5)) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3)))))
(+.f64 (/.f64 (.f64 l (PI.f64)) F) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (/.f64 (pow.f64 (PI.f64) 7) F) (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2)))))))))) (pow.f64 l 7) (fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F) (.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 (PI.f64) 2))))) (pow.f64 l 5) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))))
(+.f64 (.f64 (/.f64 l F) (PI.f64)) (fma.f64 (-.f64 (.f64 -1/5040 (/.f64 (pow.f64 (PI.f64) 7) F)) (fma.f64 1/24 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 1/3 (pow.f64 (PI.f64) 4))) (fma.f64 (.f64 -1/2 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2)))) (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720)))) (pow.f64 l 7) (fma.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3) (.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (.f64 (pow.f64 (PI.f64) 2) -1/2))) (pow.f64 l 5)))))
(fma.f64 (-.f64 (/.f64 -1/5040 (/.f64 F (pow.f64 (PI.f64) 7))) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (.f64 -1/2 (pow.f64 (PI.f64) 2)) (fma.f64 (/.f64 (pow.f64 (PI.f64) 7) F) -1/720 (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (pow.f64 (PI.f64) 4)) 1/72)))) (pow.f64 l 7) (fma.f64 (-.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30) (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))))) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (*.f64 (/.f64 (PI.f64) F) l))))
(fma.f64 (+.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 7) F) 1/840) (fma.f64 (pow.f64 (PI.f64) 4) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) -1/72) (.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30 (.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))) 1/6)) (.f64 (pow.f64 (PI.f64) 2) 1/2)))) (pow.f64 l 7) (fma.f64 (fma.f64 (/.f64 (pow.f64 (PI.f64) 5) F) -1/30 (.f64 (/.f64 (pow.f64 (PI.f64) 4) (/.f64 F (PI.f64))) 1/6)) (pow.f64 l 5) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 (pow.f64 l 3) 1/3) (.f64 (PI.f64) (/.f64 l F)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (*.f64 l (PI.f64)))))

prune207.0ms (2.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	117	14	131

Error

2.4b

Counts

131 → 14

Alt Table

Status	Error	Program
	29.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F))) F))
✓	6.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
	40.6b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	35.7b	(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))))
	34.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (sin.f64 1))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
	39.9b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
	16.2b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3)) F))
	40.6b	(.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))))
	17.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	42.2b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.7b	(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 3313 to 1452 computations (56.2% saved)

regimes616.0ms (8.2%)

Accuracy

Total -60.1b remaining (-1640.5%)

Threshold costs -60.1b (-1640.5%)

Counts

79 → 3

Calls

Call 1

Inputs
(-.f64 (log.f64 (pow.f64 (exp.f64 (PI.f64)) l)) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (.f64 l (PI.f64))) F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 1 F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (.f64 l (PI.f64)) (/.f64 1 (.f64 (cos.f64 (*.f64 l (PI.f64))) F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) 3) (/.f64 1 (.f64 (cos.f64 (*.f64 l (PI.f64))) F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) 3) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (/.f64 (.f64 (cos.f64 (.f64 l (PI.f64))) F) (cbrt.f64 (sin.f64 (*.f64 l (PI.f64)))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (cos.f64 (.f64 l (PI.f64))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (.f64 (fma.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2) 1) F)))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (log.f64 (+.f64 1 (expm1.f64 (.f64 (fma.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2) 1) F))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 (.f64 (+.f64 (.f64 (pow.f64 (.f64 l (PI.f64)) 4) 1/4) -1) F) (fma.f64 -1/2 (pow.f64 (.f64 l (PI.f64)) 2) -1))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 -1/2 (.f64 (pow.f64 l 2) (*.f64 F (pow.f64 (PI.f64) 2))))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 l (PI.f64))) F) 3)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (tan.f64 (*.f64 l (PI.f64))) (/.f64 1 F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (sin.f64 (.f64 l (PI.f64))) (/.f64 1 (.f64 (cos.f64 (*.f64 l (PI.f64))) F))) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 0 (/.f64 (tan.f64 (.f64 l (PI.f64))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (-.f64 (.f64 (sin.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (cos.f64 1)) (.f64 (cos.f64 (exp.f64 (log1p.f64 (.f64 l (PI.f64))))) (sin.f64 1))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (+.f64 (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))) (.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) (+.f64 1 (.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (*.f64 1 F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (.f64 l (PI.f64)) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
(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))))
(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(fma.f64 (cbrt.f64 (.f64 l l)) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (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 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
(.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))))
(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.f64 1 (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 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
(-.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)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.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))))
(-.f64 (.f64 (PI.f64) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))
(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
(-.f64 (.f64 (PI.f64) l) (+.f64 0 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 (PI.f64) l))))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 3) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) 1/3) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (exp.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l)))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.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)))))) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.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)))))) (.f64 F F)))
(/.f64 (neg.f64 (sin.f64 (.f64 l (PI.f64)))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(.f64 -1 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (pow.f64 F 2))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) (*.f64 F F)) l))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (cos.f64 (.f64 l (PI.f64)))) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.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 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))

(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F))) F))

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))

Results

44.0ms	5.4b	`F`
129.0ms	3.7b	`l`
49.0ms	5.4b	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
159.0ms	3.7b	`(*.f64 (PI.f64) l)`
116.0ms	3.7b	`(*.f64 (PI.f64) l)`
24.0ms	5.4b	`(/.f64 1 (*.f64 F F))`
29.0ms	5.4b	`(*.f64 F F)`
29.0ms	5.4b	`(*.f64 F F)`

Compiler

Compiled 1587 to 662 computations (58.3% saved)

bsearch1.0ms (0%)

Algorithm

2×	left-value

Calls

2 calls:

0.0ms	(*.f64 (PI.f64) l)
0.0ms	(*.f64 (PI.f64) l)

Steps

Iters	Point		Range
2e+39	∈ [	1.734300938092791e+39	,	1.7820444091402635e+44	]
-1e+78	∈ [	-1.677681527007975e+78	,	-1.8853168017456177e+76	]

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	164
1	61	164
2	72	164
3	87	164
4	99	164
5	105	164
6	107	164

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000008493621433689702976148869924598760615894999102702796905906176) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 1999999999999999879418332743206357172224) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))

Outputs

(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000008493621433689702976148869924598760615894999102702796905906176) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 1999999999999999879418332743206357172224) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (sin.f64 (*.f64 l (PI.f64))) (/.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))

(if (<=.f64 (*.f64 (PI.f64) l) -1000000000000000008493621433689702976148869924598760615894999102702796905906176) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 1999999999999999879418332743206357172224) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (*.f64 F (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1)))))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F))))

end59.0ms (0.8%)

Stop Event

1×

fuel

Compiler

Compiled 206 to 120 computations (41.7% saved)

Details

analyze1.0s (13.6%)

sample3.4s (46%)

preprocess71.0ms (0.9%)

simplify17.0ms (0.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

series16.0ms (0.2%)

rewrite78.0ms (1%)

simplify53.0ms (0.7%)

prune733.0ms (9.8%)

localize10.0ms (0.1%)

series10.0ms (0.1%)

rewrite49.0ms (0.7%)

simplify40.0ms (0.5%)

prune386.0ms (5.2%)

localize18.0ms (0.2%)

series19.0ms (0.2%)

rewrite79.0ms (1.1%)

simplify56.0ms (0.7%)

prune400.0ms (5.3%)

localize12.0ms (0.2%)

series3.0ms (0%)

rewrite39.0ms (0.5%)

simplify33.0ms (0.4%)

prune207.0ms (2.8%)

regimes616.0ms (8.2%)

bsearch1.0ms (0%)

simplify7.0ms (0.1%)

end59.0ms (0.8%)

Profiling