Details

analyze1.0s (14.5%)

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 (48.2%)

Results

1.2s	1034×	body	2048	valid
952.0ms	1946×	body	1024	valid
688.0ms	4186×	body	128	valid
263.0ms	728×	body	512	valid
171.0ms	39×	body	4096	valid
80.0ms	323×	body	256	valid
27.0ms	203×	body	128	invalid
7.0ms	9×	body	2048	invalid
4.0ms	6×	body	8192	exit

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess61.0ms (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)))

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

15.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize9.0ms (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)))
✓	0.3b	(*.f64 (PI.f64) l)
✓	3.7b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series14.0ms (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))

rewrite79.0ms (1.1%)

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

simplify54.0ms (0.8%)

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))

prune371.0ms (5.2%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	226	18	244
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	228	18	246

Error

11.1b

Counts

246 → 18

Alt Table

Status	Error	Program
	40.0b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	20.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	41.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F)))))
	36.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	11.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	37.0b	(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))))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
	41.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	15.9b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))
	15.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	29.6b	(expm1.f64 (log1p.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	27.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3))
▶	11.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	42.9b	(/.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)))))

Compiler

Compiled 7149 to 3419 computations (52.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 l (PI.f64))
	0.3b	(*.f64 (PI.f64) l)
✓	29.5b	(cos.f64 (*.f64 l (PI.f64)))
✓	30.0b	(sin.f64 (*.f64 l (PI.f64)))

series3.0ms (0%)

Counts

3 → 8

Calls

9 calls:

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

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`
489×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	19
1	116	19
2	1363	19

Stop Event

1×	node limit

Counts

3 → 45

Calls

Call 1

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

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

Outputs

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

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

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

simplify48.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`associate-+l+_binary64`
464×	`associate-+r+_binary64`
357×	`associate-l_binary64`
350×	`associate-r_binary64`
302×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	53	196
1	146	194
2	438	192
3	2008	192
4	2495	183
5	3296	174
6	4979	174

Stop Event

1×	node limit

Counts

53 → 59

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))))))

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 (pow.f64 (.f64 l (PI.f64)) 3)))
(+.f64 (.f64 -1/6 (.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3))) (+.f64 (.f64 l (PI.f64)) (.f64 1/120 (*.f64 (pow.f64 l 5) (pow.f64 (PI.f64) 5)))))
(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 -1/6 (.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 l (PI.f64))))
(fma.f64 l (PI.f64) (fma.f64 -1/6 (pow.f64 (.f64 l (PI.f64)) 3) (.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))))))
(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))))))
(fma.f64 l (PI.f64) (fma.f64 -1/6 (pow.f64 (.f64 l (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 (.f64 l l) (pow.f64 (PI.f64) 2)) 1)
(fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 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)))))
(fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (+.f64 1 (.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))))
(fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (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 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1))
(fma.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 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))))))
(+.f64 (fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) 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 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (.f64 -1/720 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -1/2 (.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) 1))
(fma.f64 -1/2 (.f64 (.f64 l 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)))
(fma.f64 -1/2 (.f64 (.f64 l l) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (.f64 l (PI.f64)) 6) 1)))

prune128.0ms (1.8%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	7	10	17
Picked	1	0	1
Done	0	0	0
Total	91	15	106

Error

0.9b

Counts

106 → 15

Alt Table

Status	Error	Program
	11.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
	40.0b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	41.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F)))))
	37.0b	(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))))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))
▶	4.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)) F))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	40.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (pow.f64 (sqrt.f64 (sin.f64 (.f64 l (PI.f64)))) 2) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	11.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	42.9b	(/.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)))))
	27.4b	(-.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))
	21.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1)) F)) F))
	15.9b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))

Compiler

Compiled 2718 to 1180 computations (56.6% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.9b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1) F))
✓	2.4b	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1) F)) F)
✓	4.3b	(.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)
	30.0b	(sin.f64 (*.f64 l (PI.f64)))

series18.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	l	@	inf	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1) F)) F)
2.0ms	l	@	inf	(.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)
1.0ms	F	@	0	(.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)
1.0ms	l	@	0	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1) F))
1.0ms	l	@	0	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1) F)) F)

rewrite69.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
270×	`prod-diff_binary64`
162×	`add-sqr-sqrt_binary64`
158×	`pow1_binary64`
157×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	75
1	332	72
2	4201	72

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

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

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

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

Outputs

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

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simplify57.0ms (0.8%)

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

169 → 139

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))
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(fma.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 F l) l))) (.f64 -4 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))))))
(fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 l l) (.f64 F (pow.f64 (PI.f64) 2)))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (+.f64 (/.f64 (/.f64 -4 (pow.f64 l 4)) (pow.f64 (PI.f64) 4)) (/.f64 -8 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(+.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))))))))
(fma.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -4 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)))) (fma.f64 -16 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F (pow.f64 l 8)) (pow.f64 (PI.f64) 8))) (.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (.f64 F (.f64 l l)) (pow.f64 (PI.f64) 2)))))))
(fma.f64 -8 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 F (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)))) (fma.f64 -4 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4))) (fma.f64 -2 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 (PI.f64) 2) (.f64 (.f64 F l) l))) (.f64 -16 (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8)))))))
(+.f64 (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (+.f64 (/.f64 -2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2)))) (/.f64 -16 (.f64 (pow.f64 l 8) (pow.f64 (PI.f64) 8))))) (.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) F) (+.f64 (/.f64 (/.f64 -4 (pow.f64 l 4)) (pow.f64 (PI.f64) 4)) (/.f64 -8 (.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6))))))
(/.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)))
(/.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)))

prune246.0ms (3.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	159	3	162
Fresh	3	11	14
Picked	0	1	1
Done	0	0	0
Total	162	15	177

Error

0.9b

Counts

177 → 15

Alt Table

Status	Error	Program
▶	11.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
	40.0b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	41.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	15.8b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (+.f64 1 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) -1/2)))) 3)))
	17.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F)))))
	42.9b	(/.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)))))
	17.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
✓	4.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)) F))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	37.0b	(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))))
	27.4b	(-.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))
	21.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1)) F)) F))
	15.9b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))

Compiler

Compiled 5953 to 3169 computations (46.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (*.f64 l (PI.f64)))
✓	0.7b	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
✓	29.5b	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
	30.0b	(sin.f64 (*.f64 l (PI.f64)))

series16.0ms (0.2%)

Counts

3 → 4

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	l	@	0	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
4.0ms	l	@	-inf	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
1.0ms	l	@	inf	(cos.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
1.0ms	l	@	-inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
1.0ms	l	@	inf	(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)

rewrite49.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

638×	`pow1_binary64`
596×	`add-log-exp_binary64`
596×	`log1p-expm1-u_binary64`
596×	`expm1-log1p-u_binary64`
71×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	167	19
2	1670	19

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs
(cos.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3))
(pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 3)
(cbrt.f64 (*.f64 l (PI.f64)))

Outputs

((#(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 exp.f64 (log.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 l (PI.f64)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 l (PI.f64)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (PI.f64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 l (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (*.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 l (PI.f64))) (sqrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) 3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (cbrt.f64 l)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) (pow.f64 (*.f64 l (PI.f64)) 1/6)) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 l (PI.f64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 l (PI.f64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 l 3) (pow.f64 (PI.f64) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 l (PI.f64))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 l) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) (pow.f64 (*.f64 l (PI.f64)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 l (PI.f64))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3) (pow.f64 (sqrt.f64 (*.f64 l (PI.f64))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 l (PI.f64)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 l (PI.f64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 l (PI.f64)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 l (PI.f64))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 l (PI.f64)))))))))

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	4
1	4	4

Stop Event

1×

saturated

Counts

77 → 74

Calls

Call 1

Inputs
1
1
1
1

Outputs
1
1
1
1

prune135.0ms (1.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	97	15	112

Error

0.9b

Counts

112 → 15

Alt Table

Status	Error	Program
	41.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	15.8b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (.f64 F F) (+.f64 1 (.f64 (pow.f64 (.f64 (PI.f64) l) 2) -1/2)))) 3)))
	17.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (cbrt.f64 (pow.f64 F 4))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (cbrt.f64 (.f64 F F)))))
	42.9b	(/.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)))))
	17.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
	21.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (pow.f64 (.f64 l (PI.f64)) 4) (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (.f64 l l)) 1)) F)) F))
	22.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log.f64 (exp.f64 (sin.f64 (.f64 l (PI.f64))))) (.f64 (cos.f64 (pow.f64 (cbrt.f64 (.f64 l (PI.f64))) 3)) F)) F))
✓	4.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 (pow.f64 (PI.f64) 2) (.f64 -1/2 (*.f64 l l)) 1) F)) F))
	34.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	40.0b	(pow.f64 (sqrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2)
	37.0b	(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))))
	27.4b	(-.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))
	15.9b	(.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) (pow.f64 (cbrt.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))) 2))

Compiler

Compiled 2666 to 1164 computations (56.3% saved)

regimes909.0ms (12.8%)

Accuracy

Total 1.7b remaining (52.2%)

Threshold costs 0b (0%)

Counts

149 → 3

Compiler

Compiled 2860 to 1079 computations (62.3% 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
1e+68	∈ [	6.77557136310703e+67	,	1.2516350947182433e+68	]
-5e+77	∈ [	-8.969811156958819e+77	,	-1.4775427091741025e+68	]

Compiler

Compiled 5 to 4 computations (20% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

13×	`+-commutative_binary64`
12×	`*-commutative_binary64`
10×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	162
1	69	162
2	85	162
3	100	162
4	111	162
5	116	162
6	117	162

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000004246810716844851488074434962299380307947499551351398452953088) (-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (+.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2)))))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 99999999999999995280522225138166806691251291352861698530421623488512) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (pow.f64 (*.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 l (PI.f64)) 6) 1))) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2) F) F)))) F))))

Outputs

(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000004246810716844851488074434962299380307947499551351398452953088) (-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (+.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2)))))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 99999999999999995280522225138166806691251291352861698530421623488512) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (pow.f64 (*.f64 l (PI.f64)) 4) (fma.f64 -1/720 (pow.f64 (*.f64 l (PI.f64)) 6) 1))) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2) F) F)))) F))))

(if (<=.f64 (*.f64 (PI.f64) l) -500000000000000004246810716844851488074434962299380307947499551351398452953088) (-.f64 (*.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (+.f64 1 (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2)))))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 99999999999999995280522225138166806691251291352861698530421623488512) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (fma.f64 -1/2 (*.f64 (*.f64 l l) (pow.f64 (PI.f64) 2)) (fma.f64 1/24 (pow.f64 (*.f64 (PI.f64) l) 4) (fma.f64 -1/720 (pow.f64 (*.f64 (PI.f64) l) 6) 1))))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (+.f64 F (*.f64 F (*.f64 (pow.f64 (*.f64 (PI.f64) l) 2) -1/2)))))) F))))

end267.0ms (3.8%)

Stop Event

1×

fuel

Compiler

Compiled 557 to 349 computations (37.3% saved)

Details

analyze1.0s (14.5%)

sample3.4s (48.2%)

preprocess61.0ms (0.9%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series14.0ms (0.2%)

rewrite79.0ms (1.1%)

simplify54.0ms (0.8%)

prune371.0ms (5.2%)

localize23.0ms (0.3%)

series3.0ms (0%)

rewrite36.0ms (0.5%)

simplify48.0ms (0.7%)

prune128.0ms (1.8%)

localize14.0ms (0.2%)

series18.0ms (0.3%)

rewrite69.0ms (1%)

simplify57.0ms (0.8%)

prune246.0ms (3.4%)

localize14.0ms (0.2%)

series16.0ms (0.2%)

rewrite49.0ms (0.7%)

simplify7.0ms (0.1%)

prune135.0ms (1.9%)

regimes909.0ms (12.8%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end267.0ms (3.8%)

Profiling