Details

analyze1.1s (14.7%)

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)

sample3.5s (48.1%)

Results

1.3s	1036×	body	2048	valid
920.0ms	1883×	body	1024	valid
588.0ms	4199×	body	128	valid
266.0ms	750×	body	512	valid
219.0ms	60×	body	4096	valid
85.0ms	328×	body	256	valid
24.0ms	171×	body	128	invalid
5.0ms	8×	body	2048	invalid
1.0ms	1×	body	8192	exit

preprocess67.0ms (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

17.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.2b	(*.f64 (PI.f64) l)
✓	4.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	29.5b	(tan.f64 (*.f64 (PI.f64) l))

series16.0ms (0.2%)

Counts

4 → 72

Calls

18 calls:

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

rewrite80.0ms (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 log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (tan.f64 (.f64 (PI.f64) l))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 log1p.f64 (expm1.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (PI.f64) l)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))))
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(sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))) 1))))))

simplify50.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

269 → 228

Calls

Call 1

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

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

prune661.0ms (9.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	227	17	244
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	229	17	246

Error

12.7b

Counts

246 → 17

Alt Table

Status	Error	Program
	44.2b	(exp.f64 (log.f64 (fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))))
	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	41.7b	(/.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)))))
	26.3b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	41.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	22.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.2b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	23.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) F)) F))
	35.8b	(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))))
	17.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	39.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	40.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	37.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))

Compiler

Compiled 7047 to 3347 computations (52.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (PI.f64) l)
✓	0.2b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (*.f64 l (PI.f64))) F))
✓	28.4b	(cos.f64 (*.f64 l (PI.f64)))
✓	28.7b	(sin.f64 (*.f64 l (PI.f64)))

series9.0ms (0.1%)

Counts

3 → 24

Calls

12 calls:

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

rewrite53.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

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

Outputs

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

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

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

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

113 → 113

Calls

Call 1

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

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

prune286.0ms (4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	6	10	16
Picked	1	0	1
Done	0	0	0
Total	132	14	146

Error

1.3b

Counts

146 → 14

Alt Table

Status	Error	Program
	41.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	22.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.2b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
▶	4.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F))
	41.7b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	35.8b	(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))))
	40.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	26.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))

Compiler

Compiled 3777 to 1547 computations (59% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F))
✓	1.8b	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F)
✓	4.9b	(.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)
	28.7b	(sin.f64 (*.f64 l (PI.f64)))

series21.0ms (0.3%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
7.0ms	l	@	-inf	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F))
2.0ms	l	@	inf	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F)
1.0ms	F	@	0	(.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)
1.0ms	l	@	0	(/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F)
1.0ms	l	@	inf	(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1) F))

rewrite68.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

301×	`prod-diff_binary64`
278×	`log1p-udef_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	66
2	4230	66

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs

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

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

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

Outputs

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

simplify59.0ms (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))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(.f64 F (+.f64 (.f64 -1/2 (*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))) 1))
(fma.f64 -1/2 (.f64 (.f64 (*.f64 l l) F) (pow.f64 (PI.f64) 2)) F)
(.f64 F (fma.f64 (.f64 (*.f64 -1/2 l) l) (pow.f64 (PI.f64) 2) 1))
(.f64 F (fma.f64 (.f64 l l) (*.f64 (pow.f64 (PI.f64) 2) -1/2) 1))
(/.f64 (*.f64 l (PI.f64)) (pow.f64 F 2))
(/.f64 l (/.f64 (*.f64 F F) (PI.f64)))
(*.f64 (/.f64 l F) (/.f64 (PI.f64) F))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (/.f64 l (/.f64 (*.f64 F F) (PI.f64))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F)))
(fma.f64 (/.f64 l F) (/.f64 (PI.f64) F) (.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3))))
(+.f64 (.f64 (pow.f64 l 3) (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))))) (+.f64 (.f64 (pow.f64 l 5) (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (pow.f64 F 2))) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2))) (.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (pow.f64 F 2)))) (pow.f64 (PI.f64) 2))))) (/.f64 (.f64 l (PI.f64)) (pow.f64 F 2))))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3) (fma.f64 (pow.f64 l 5) (+.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F))) (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F)) 1/3)))) (/.f64 l (/.f64 (*.f64 F F) (PI.f64)))))
(fma.f64 (pow.f64 l 3) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)) (fma.f64 (pow.f64 l 5) (fma.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)) (.f64 (.f64 1/2 (pow.f64 (PI.f64) 2)) (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (.f64 F F)))) (.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(fma.f64 (pow.f64 l 3) (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (.f64 F F) 1/3)) (fma.f64 (pow.f64 l 5) (fma.f64 -1/2 (.f64 (.f64 (pow.f64 (PI.f64) 2) (/.f64 (pow.f64 (PI.f64) 3) (.f64 F F))) -1/3) (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) (.f64 F F)))) (*.f64 (/.f64 l F) (/.f64 (PI.f64) F))))
(+.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)))))
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(/.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)))

prune316.0ms (4.4%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	168	14	182

Error

1.3b

Counts

182 → 14

Alt Table

Status	Error	Program
	41.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	22.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.2b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
▶	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
✓	4.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F))
	41.7b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	35.8b	(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))))
	40.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	26.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))

Compiler

Compiled 5958 to 3192 computations (46.4% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	29.5b	(tan.f64 (*.f64 (PI.f64) l))

series7.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite46.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 98

Calls

Call 1

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

Outputs

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

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

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

403×	`associate-/l*_binary64`
364×	`fma-def_binary64`
356×	`associate-r_binary64`
342×	`associate-l_binary64`
325×	`times-frac_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	105	1447
1	308	1385
2	1044	1307

Stop Event

1×	node limit

Counts

146 → 120

Calls

Call 1

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

Outputs
(/.f64 (*.f64 l (PI.f64)) F)
(/.f64 l (/.f64 F (PI.f64)))
(*.f64 (/.f64 l F) (PI.f64))
(*.f64 (/.f64 (PI.f64) F) l)
(+.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 l (/.f64 F (PI.f64))) (.f64 (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3)))
(fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (.f64 (/.f64 l F) (PI.f64)))
(fma.f64 (/.f64 (pow.f64 (PI.f64) 3) F) (.f64 1/3 (pow.f64 l 3)) (.f64 (/.f64 (PI.f64) F) l))
(+.f64 (.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)) F)) (.f64 1/24 (/.f64 (pow.f64 (PI.f64) 5) F)))) (pow.f64 l 5)) (+.f64 (/.f64 (.f64 l (PI.f64)) F) (.f64 (-.f64 (.f64 -1/6 (/.f64 (pow.f64 (PI.f64) 3) F)) (*.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) F))) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 (PI.f64) 3) 1/3) (/.f64 F (pow.f64 (PI.f64) 2))) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (+.f64 (/.f64 l (/.f64 F (PI.f64))) (.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (pow.f64 l 3))))
(fma.f64 (-.f64 (.f64 1/120 (/.f64 (pow.f64 (PI.f64) 5) F)) (fma.f64 -1/2 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (/.f64 F (pow.f64 (PI.f64) 2)) 1/3)) (.f64 (/.f64 (pow.f64 (PI.f64) 5) F) 1/24))) (pow.f64 l 5) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 (pow.f64 (PI.f64) 3) F) 1/3) (.f64 (/.f64 l F) (PI.f64))))
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(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (pow.f64 F 2) (cos.f64 (*.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (cos.f64 (.f64 l (PI.f64))) (.f64 F F)))

prune278.0ms (3.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	185	14	199

Error

1.3b

Counts

199 → 14

Alt Table

Status	Error	Program
	41.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	22.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	21.2b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	40.8b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.8b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) (/.f64 l F)) F))
	18.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F))
✓	13.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
✓	4.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1) F)) F))
	41.7b	(/.f64 1 (/.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4)))))
	35.8b	(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))))
	40.6b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	26.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (.f64 l (PI.f64))) (.f64 (fma.f64 -1/2 (.f64 l (.f64 l (pow.f64 (PI.f64) 2))) (fma.f64 1/24 (.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/720 (*.f64 (pow.f64 l 6) (pow.f64 (PI.f64) 6)) 1))) F)) F))

Compiler

Compiled 4541 to 2209 computations (51.4% saved)

regimes471.0ms (6.5%)

Accuracy

Total -61.3b remaining (-2445.3%)

Threshold costs -61.3b (-2445.3%)

Counts

67 → 3

Compiler

Compiled 1310 to 529 computations (59.6% 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+137	∈ [	6.73626641434127e+136	,	1.572390199161456e+137	]
-2e+156	∈ [	-2.2942987616968678e+156	,	-3.228508167506703e+151	]

Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative_binary64`
7×	`+-commutative_binary64`
7×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	147
1	52	147
2	63	147
3	74	147
4	82	147
5	86	147
6	87	147

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 (*.f64 (PI.f64) l) -1999999999999999966718360446383443429120744550034941072734015228920936835002025109062955753891877483502474776688726210135069014696329147466931020740652171264) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))

Outputs

(if (<=.f64 (*.f64 (PI.f64) l) -1999999999999999966718360446383443429120744550034941072734015228920936835002025109062955753891877483502474776688726210135069014696329147466931020740652171264) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)) F)) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 l (PI.f64))) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 l (PI.f64)) 2) 1) F)))) F))))

(if (<=.f64 (*.f64 (PI.f64) l) -1999999999999999966718360446383443429120744550034941072734015228920936835002025109062955753891877483502474776688726210135069014696329147466931020740652171264) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F)) (if (<=.f64 (*.f64 (PI.f64) l) 100000000000000003284156248920492607898701256635961169551231342625874700689878799554400131562772741268394950478432243557864849063421149184) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (fma.f64 1/24 (*.f64 (pow.f64 l 4) (pow.f64 (PI.f64) 4)) (fma.f64 -1/2 (*.f64 l (*.f64 l (pow.f64 (PI.f64) 2))) 1)))) F)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (log1p.f64 (expm1.f64 (*.f64 (fma.f64 -1/2 (pow.f64 (*.f64 (PI.f64) l) 2) 1) F)))) F))))

end48.0ms (0.7%)

Stop Event

1×

fuel

Compiler

Compiled 184 to 102 computations (44.6% saved)

Details

analyze1.1s (14.7%)

sample3.5s (48.1%)

preprocess67.0ms (0.9%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series16.0ms (0.2%)

rewrite80.0ms (1.1%)

simplify50.0ms (0.7%)

prune661.0ms (9.2%)

localize11.0ms (0.1%)

series9.0ms (0.1%)

rewrite53.0ms (0.7%)

simplify40.0ms (0.6%)

prune286.0ms (4%)

localize15.0ms (0.2%)

series21.0ms (0.3%)

rewrite68.0ms (0.9%)

simplify59.0ms (0.8%)

prune316.0ms (4.4%)

localize8.0ms (0.1%)

series7.0ms (0.1%)

rewrite46.0ms (0.6%)

simplify37.0ms (0.5%)

prune278.0ms (3.9%)

regimes471.0ms (6.5%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end48.0ms (0.7%)

Profiling