Details

analyze742.0ms (5.1%)

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.2s (21.5%)

Results

1.2s	1061×	body	2048	valid
804.0ms	1810×	body	1024	valid
683.0ms	4595×	body	256	valid
196.0ms	748×	body	512	valid
162.0ms	42×	body	4096	valid
41.0ms	284×	body	256	invalid
4.0ms	7×	body	2048	invalid
2.0ms	4×	body	8192	exit

preprocess176.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1036×	`fma-neg_binary64`
1024×	`fma-def_binary64`
528×	`div-sub_binary64`
432×	`times-frac_binary64`
309×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	105	40
3	267	40
4	456	40
5	737	40
6	1005	40
7	1418	40
8	2573	40
9	4245	40
10	4848	40
11	4898	40
12	4928	40
13	4942	40
14	5170	40
15	5266	40
16	5954	40
17	5954	40
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	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)))

eval1.0ms (0%)

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

prune2.0ms (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

18.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 30 to 18 computations (40% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (PI.f64) l)
✓	0.4b	(/.f64 1 (*.f64 F F))
✓	5.8b	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 45 to 16 computations (64.4% saved)

series24.0ms (0.2%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
5.0ms	F	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
4.0ms	l	@	0	(tan.f64 (*.f64 (PI.f64) l))
3.0ms	l	@	0	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	F	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
2.0ms	l	@	inf	(.f64 (/.f64 1 (.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))

rewrite105.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

932×	`pow1_binary64`
857×	`add-log-exp_binary64`
856×	`log1p-expm1-u_binary64`
856×	`expm1-log1p-u_binary64`
836×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	201	29
2	2454	29

Stop Event

1×	node limit

Counts

4 → 87

Calls

Call 1

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

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

simplify117.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-neg_binary64`
413×	`fma-def_binary64`
406×	`associate-r_binary64`
404×	`associate-l_binary64`
385×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1282
1	259	1208
2	943	1154
3	5889	1124

Stop Event

1×	node limit

Counts

147 → 108

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	6.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 35 to 8 computations (77.1% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite91.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

878×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	167	13
2	2205	13

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

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

Outputs

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

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

812×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
524×	`distribute-lft-neg-in_binary64`
429×	`fma-neg_binary64`
338×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	776
1	207	726
2	733	693
3	4450	672

Stop Event

1×	node limit

Counts

56 → 43

Calls

Call 1

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

eval187.0ms (1.3%)

Compiler: Compiled 4742 to 2195 computations (53.7% saved)

prune131.0ms (0.9%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	192	26	218
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	192	28	220

Error

11.9b

Counts

220 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
▶	43.7b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
	18.7b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	43.7b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	24.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	34.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)))))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶	44.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	36.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (*.f64 F F)))
	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	43.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
▶	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (*.f64 F F)))
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	27.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	47.0b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	27.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 882 to 578 computations (34.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 38 to 8 computations (78.9% saved)

series46.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
31.0ms	F	@	-inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
4.0ms	F	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
3.0ms	l	@	0	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
1.0ms	l	@	0	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
1.0ms	l	@	inf	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite90.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
876×	`add-log-exp_binary64`
876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
857×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	170	23
2	2340	23

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

simplify73.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

676×	`fma-neg_binary64`
454×	`distribute-neg-frac_binary64`
406×	`associate-/l*_binary64`
364×	`fma-def_binary64`
358×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	1447
1	308	1385
2	1044	1307
3	5990	1271

Stop Event

1×	node limit

Counts

116 → 90

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (PI.f64) (/.f64 l (.f64 F F)))
	0.3b	(*.f64 (PI.f64) l)
✓	8.7b	(/.f64 l (*.f64 F F))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

791×	`pow1_binary64`
733×	`add-log-exp_binary64`
733×	`log1p-expm1-u_binary64`
733×	`expm1-log1p-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	147	18
2	1998	18

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-/r/_binary64`
608×	`times-frac_binary64`
551×	`associate-/l/_binary64`
465×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	432
1	17	432
2	35	432
3	77	432
4	218	432
5	811	432
6	3760	432
7	4774	432
8	4938	432
9	5151	432
10	5371	432
11	5694	432
12	7056	432
13	7545	432

Stop Event

1×	node limit

Counts

104 → 60

Calls

Call 1

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

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

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	4.1b	(-.f64 (+.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1)
✓	6.3b	(/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F F))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 58 to 24 computations (58.6% saved)

series5.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(-.f64 (+.f64 1 (tan.f64 (*.f64 (PI.f64) l))) 1)
1.0ms	l	@	0	(/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F F))
0.0ms	l	@	-inf	(/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F F))
0.0ms	l	@	inf	(/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F F))
0.0ms	F	@	inf	(/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (.f64 F F))

rewrite117.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary64`
310×	`prod-diff_binary64`
297×	`pow2_binary64`
273×	`fma-def_binary64`
206×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	245	20
2	3559	20

Stop Event

1×	node limit

Counts

2 → 150

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-neg_binary64`
413×	`fma-def_binary64`
408×	`associate-r_binary64`
403×	`associate-l_binary64`
385×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1138
1	256	1064
2	940	1010
3	5874	980

Stop Event

1×	node limit

Counts

186 → 169

Calls

Call 1

Inputs
(/.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 (.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))))

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

localize41.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
	6.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))
✓	41.0b	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

Compiler

Compiled 50 to 17 computations (66% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	l	@	-inf	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
1.0ms	l	@	0	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))
0.0ms	l	@	inf	(cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))

rewrite63.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
517×	`add-log-exp_binary64`
517×	`log1p-expm1-u_binary64`
517×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	149	5
2	1504	5

Stop Event

1×	node limit

Counts

1 → 29

Calls

Call 1

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

Outputs

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

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

244×	`fma-def_binary64`
21×	`sub-neg_binary64`
20×	`distribute-rgt-in_binary64`
19×	`associate-l_binary64`
18×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Stop Event

1×

saturated

Counts

41 → 31

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))

Outputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))
(.f64 -1 (.f64 l (*.f64 (cbrt.f64 -1) (PI.f64))))
(neg.f64 (.f64 l (.f64 (PI.f64) (cbrt.f64 -1))))
(.f64 (.f64 (PI.f64) (cbrt.f64 -1)) (neg.f64 l))
(.f64 l (.f64 (cbrt.f64 -1) (neg.f64 (PI.f64))))
(.f64 (.f64 l (PI.f64)) (neg.f64 (cbrt.f64 -1)))

localize73.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	0.3b	(*.f64 (PI.f64) l)
	6.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	l	@	-inf	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
2.0ms	l	@	0	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
1.0ms	l	@	inf	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)

rewrite41.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

518×	`pow1_binary64`
498×	`add-sqr-sqrt_binary64`
479×	`add-log-exp_binary64`
479×	`log1p-expm1-u_binary64`
479×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	144	5
2	1366	5

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)

Outputs

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

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

28 → 28

Calls

Call 1

Inputs

Outputs

eval336.0ms (2.3%)

Compiler: Compiled 16206 to 7433 computations (54.1% saved)

prune428.0ms (2.9%)

Pruning

42 alts after pruning (36 fresh and 6 done)

	Pruned	Kept	Total
New	666	27	693
Fresh	12	9	21
Picked	0	1	1
Done	1	5	6
Total	679	42	721

Error

11.8b

Counts

721 → 42

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	39.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
	18.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	46.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
▶	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F))
✓	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
▶	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
	44.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	22.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
	24.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
✓	44.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l F) (/.f64 1 F))))
	41.1b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (*.f64 F F)))
	18.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	33.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
	27.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	44.6b	(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
	18.7b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	44.0b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (*.f64 l (PI.f64)))))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	44.0b	(-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	34.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
	44.1b	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
▶	15.8b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))

Compiler

Compiled 1328 to 857 computations (35.5% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
	0.3b	(*.f64 (PI.f64) l)
✓	0.9b	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 55 to 10 computations (81.8% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	l	@	0	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
1.0ms	l	@	0	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)
0.0ms	l	@	inf	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	-inf	(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	l	@	inf	(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)

rewrite61.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`pow1_binary64`
781×	`expm1-log1p-u_binary64`
780×	`add-log-exp_binary64`
780×	`log1p-expm1-u_binary64`
762×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	167	17
2	2088	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (log1p.f64 (expm1.f64 (tan.f64 (*.f64 (PI.f64) l)))) F)

Outputs

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

simplify55.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

720×	`cancel-sign-sub-inv_binary64`
518×	`distribute-rgt-neg-in_binary64`
487×	`distribute-lft-neg-in_binary64`
389×	`fma-neg_binary64`
367×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	1033
1	251	997
2	825	931
3	4417	864

Stop Event

1×	node limit

Counts

87 → 69

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)) 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)))))

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

localize28.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 F (/.f64 l F))
	0.3b	(*.f64 (PI.f64) l)
✓	0.6b	(/.f64 (PI.f64) (/.f64 F (/.f64 l F)))

Compiler

Compiled 34 to 8 computations (76.5% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

958×	`pow1_binary64`
891×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
82×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	157	18
2	2424	18

Stop Event

1×	node limit

Counts

2 → 85

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

965×	`associate-/r/_binary64`
600×	`times-frac_binary64`
537×	`associate-/l/_binary64`
465×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	432
1	17	432
2	35	432
3	78	432
4	219	432
5	805	432
6	3756	432
7	4768	432
8	4932	432
9	5145	432
10	5365	432
11	5687	432
12	7039	432
13	7530	432

Stop Event

1×	node limit

Counts

133 → 87

Calls

Call 1

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

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

localize18.0ms (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)
	0.3b	(*.f64 (PI.f64) l)
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite94.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
406×	`prod-exp_binary64`
402×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
259×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	207	13
2	2683	13

Stop Event

1×	node limit

Counts

1 → 75

Calls

Call 1

Inputs
(.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)) (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 (PI.f64) l))) (pow.f64 F -2))) 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)) (*.f64 F 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 (pow.f64 (cbrt.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 (E.f64) (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6) 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 (/.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 pow.f64 (*.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 1 F)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 2)) (cbrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))) (sqrt.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) 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 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 (tan.f64 (*.f64 (PI.f64) l))) F)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (log.f64 (*.f64 F F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (log.f64 F) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (*.f64 (log.f64 F) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 F) -1) (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (tan.f64 (*.f64 (PI.f64) l))) 1) (*.f64 -2 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (neg.f64 (log.f64 F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (*.f64 (log.f64 F) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (*.f64 (neg.f64 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1) (*.f64 (neg.f64 (log.f64 F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (neg.f64 (log.f64 F)) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (log.f64 F) -1) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 F)) 1) (*.f64 (log.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 1)))))))

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

812×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
524×	`distribute-lft-neg-in_binary64`
429×	`fma-neg_binary64`
338×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	776
1	207	726
2	733	693
3	4450	672

Stop Event

1×	node limit

Counts

99 → 86

Calls

Call 1

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

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	1.9b	(-.f64 (+.f64 1 (pow.f64 F -2)) 1)
✓	5.7b	(.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (.f64 (PI.f64) l)))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 57 to 34 computations (40.4% saved)

series14.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	F	@	-inf	(-.f64 (+.f64 1 (pow.f64 F -2)) 1)
1.0ms	F	@	inf	(-.f64 (+.f64 1 (pow.f64 F -2)) 1)
1.0ms	l	@	0	(.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (.f64 (PI.f64) l)))
1.0ms	F	@	0	(-.f64 (+.f64 1 (pow.f64 F -2)) 1)
1.0ms	F	@	0	(.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (.f64 (PI.f64) l)))

rewrite99.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
307×	`pow2_binary64`
306×	`fma-def_binary64`
261×	`prod-diff_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	261	17
2	3428	17

Stop Event

1×	node limit

Counts

2 → 116

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (.f64 (PI.f64) l)))
(-.f64 (+.f64 1 (pow.f64 F -2)) 1)

Outputs

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(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 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2)))) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2)) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2)))) (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (+.f64 (pow.f64 F -2) 2) (cos.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2))))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2))))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2)))) (tan.f64 (*.f64 (PI.f64) l))) (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2)))) (tan.f64 (*.f64 (PI.f64) l))) (+.f64 (pow.f64 F -2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 F -2) (sin.f64 (*.f64 (PI.f64) l))) (cos.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2))))) (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 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#<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 3) (pow.f64 F -6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 F -2)) (tan.f64 (*.f64 (PI.f64) l)) (*.f64 -1 (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 (*.f64 (PI.f64) l)) 1 (*.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 (*.f64 (PI.f64) l)) 1 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 1 (pow.f64 F -2)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (tan.f64 (*.f64 (PI.f64) l))) (cbrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -2) -1)))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 1 (cos.f64 (*.f64 (PI.f64) l))) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (+.f64 (pow.f64 F -2) -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (pow.f64 F -2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (pow.f64 F -2) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 F -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (pow.f64 F -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 F -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 F -2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 F -2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 F -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 F -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) -2) (cbrt.f64 (pow.f64 F -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 F -4)) (pow.f64 (cbrt.f64 F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 F -1) (pow.f64 F -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2)))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2)))) (/.f64 1 (+.f64 (pow.f64 F -2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 F) -4) (pow.f64 (cbrt.f64 F) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (pow.f64 F -1)) 1) (-.f64 (hypot.f64 1 (pow.f64 F -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2))))))))) (#(struct:change 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(/.f64 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 F -2) 2) (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 F -4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 F -6))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (pow.f64 F -1) (sqrt.f64 (-.f64 (pow.f64 F -4) (pow.f64 F -2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (pow.f64 F -2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 F -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 -2 (log.f64 F)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 -2 (log.f64 F)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 F -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (pow.f64 F -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (pow.f64 F -2) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 F -2) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 F -2)) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 F) -2) (cbrt.f64 (pow.f64 F -4)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 F -4)) (pow.f64 (cbrt.f64 F) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4)) (cbrt.f64 (+.f64 1 (pow.f64 F -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4)) (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 F -2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 F -1) (pow.f64 F -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 F -1)) (hypot.f64 1 (pow.f64 F -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (pow.f64 F -1)) (*.f64 (hypot.f64 1 (pow.f64 F -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (pow.f64 F -2)))) (/.f64 1 (+.f64 (pow.f64 (hypot.f64 1 (pow.f64 F -1)) 4) (+.f64 (pow.f64 F -2) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 F -6)) (/.f64 1 (-.f64 (+.f64 1 (pow.f64 F -4)) (pow.f64 F -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (pow.f64 F -2)))) (/.f64 1 (+.f64 (pow.f64 F -2) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 F -4)) (/.f64 1 (-.f64 1 (pow.f64 F -2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 F -2) -1)) 2) (cbrt.f64 (+.f64 (pow.f64 F -2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (pow.f64 F -2) -1)) (sqrt.f64 (+.f64 (pow.f64 F -2) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 F) -4) (pow.f64 (cbrt.f64 F) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (hypot.f64 1 (pow.f64 F -1)) 1) (-.f64 (hypot.f64 1 (pow.f64 F -1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 F -1) 1) (-.f64 (pow.f64 F -1) 1) 1)))))

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

812×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
524×	`distribute-lft-neg-in_binary64`
429×	`fma-neg_binary64`
338×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	860
1	210	810
2	736	777
3	4451	756

Stop Event

1×	node limit

Counts

152 → 129

Calls

Call 1

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

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

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F)
	0.2b	(pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)
	0.3b	(*.f64 (PI.f64) l)
✓	13.1b	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2))

Compiler

Compiled 61 to 26 computations (57.4% saved)

series49.0ms (0.3%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
19.0ms	l	@	-inf	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2))
8.0ms	l	@	-inf	(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F)
6.0ms	l	@	inf	(tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2))
6.0ms	l	@	inf	(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F)
4.0ms	F	@	0	(/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F)

rewrite79.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

920×	`pow1_binary64`
849×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
829×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	213	17
2	2327	17

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

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

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	228
1	13	228
2	15	228

Stop Event

1×

saturated

Counts

63 → 52

Calls

Call 1

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

Outputs
(/.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)))))

eval237.0ms (1.6%)

Compiler: Compiled 14536 to 6597 computations (54.6% saved)

prune211.0ms (1.4%)

Pruning

58 alts after pruning (50 fresh and 8 done)

	Pruned	Kept	Total
New	669	25	694
Fresh	6	25	31
Picked	0	1	1
Done	3	7	10
Total	678	58	736

Error

11.8b

Counts

736 → 58

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	39.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
	40.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F) (/.f64 1 F)))
	27.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
	12.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
	44.1b	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
	41.1b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	32.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 F 3) -2/3) (tan.f64 (*.f64 (PI.f64) l))))
	18.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	46.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
✓	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
✓	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
	44.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
▶	15.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	24.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) 2)) F) F))
✓	44.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l F) (/.f64 1 F))))
▶	41.1b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	38.6b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	18.7b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
	33.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (*.f64 l (PI.f64))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
▶	12.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) F) F))
▶	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F) F))
	41.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	18.7b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	27.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) 2)) F) F))
	44.0b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
	12.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))) F) F))
	12.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))) F) F))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (*.f64 l (PI.f64)))))
	15.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
	25.6b	(-.f64 (.f64 (PI.f64) l) (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l)))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))))) F) F))
▶	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	44.0b	(-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	16.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
	34.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 F) -6) (tan.f64 (*.f64 (PI.f64) l))))
	12.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F) F))

Compiler

Compiled 1901 to 1236 computations (35% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.3b	(*.f64 (PI.f64) l)
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 46 to 16 computations (65.2% saved)

series8.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

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

rewrite72.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
436×	`exp-prod_binary64`
331×	`pow-prod-down_binary64`
273×	`pow2_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	213	23
2	2910	23

Stop Event

1×	node limit

Counts

2 → 105

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac_binary64`
588×	`associate-/l*_binary64`
519×	`fma-def_binary64`
327×	`associate-/r*_binary64`
317×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	1668
1	362	1563
2	1560	1505

Stop Event

1×	node limit

Counts

153 → 127

Calls

Call 1

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

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

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 8 computations (75% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

9 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

891×	`pow1_binary64`
826×	`add-log-exp_binary64`
826×	`log1p-expm1-u_binary64`
826×	`expm1-log1p-u_binary64`
806×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	153	16
2	2247	16

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

921×	`associate-/r/_binary64`
837×	`*-commutative_binary64`
624×	`times-frac_binary64`
514×	`associate-/l/_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	264
1	16	264
2	34	264
3	75	264
4	211	264
5	789	264
6	3752	264
7	4575	264
8	4785	264
9	5004	264
10	5232	264
11	5563	264
12	6991	264
13	7970	264

Stop Event

1×	node limit

Counts

101 → 79

Calls

Call 1

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

Outputs
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))
(/.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 (PI.f64) (/.f64 (/.f64 l F) F))
(.f64 l (/.f64 (PI.f64) (.f64 F F)))

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 F) (/.f64 1 F))
	0.3b	(*.f64 (PI.f64) l)
✓	5.8b	(.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (*.f64 (PI.f64) l)))
	26.6b	(tan.f64 (*.f64 (PI.f64) l))

Compiler

Compiled 51 to 26 computations (49% saved)

series3.0ms (0%)

Counts

2 → 36

Calls

9 calls:

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

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
866×	`add-log-exp_binary64`
865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	204	17
2	2510	17

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

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

Outputs

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

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

812×	`cancel-sign-sub-inv_binary64`
541×	`distribute-rgt-neg-in_binary64`
524×	`distribute-lft-neg-in_binary64`
429×	`fma-neg_binary64`
338×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	860
1	210	810
2	736	777
3	4451	756

Stop Event

1×	node limit

Counts

88 → 64

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (PI.f64) l)
✓	0.3b	(pow.f64 (*.f64 (PI.f64) l) 2)
	26.6b	(tan.f64 (*.f64 (PI.f64) l))
✓	30.4b	(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))

Compiler

Compiled 53 to 17 computations (67.9% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`pow1_binary64`
503×	`add-sqr-sqrt_binary64`
486×	`add-log-exp_binary64`
486×	`log1p-expm1-u_binary64`
486×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	145	13
2	1419	13

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

Inputs
(sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 2))
(pow.f64 (*.f64 (PI.f64) l) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (PI.f64) l)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 l) 2) (*.f64 (cbrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 l) (*.f64 (sqrt.f64 l) (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 4)) 1/2) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (PI.f64) 2) 1/2) (pow.f64 (*.f64 l l) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (PI.f64) l) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 1/2)))) (#(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 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 fabs.f64 (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (PI.f64)) l))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (PI.f64) l)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (*.f64 (PI.f64) l) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 l (*.f64 (PI.f64) (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (PI.f64) l) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 l l) (pow.f64 (PI.f64) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (PI.f64) 2) (*.f64 l l))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 4)) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2) (*.f64 (cbrt.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) l)) (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) l) (sqrt.f64 (*.f64 (PI.f64) l))) (sqrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) l) (PI.f64)) l)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) l) l) (PI.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 2)) (cbrt.f64 (*.f64 (PI.f64) l)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (PI.f64) l) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (PI.f64) l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (PI.f64) l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (PI.f64) l) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 (PI.f64) l))))))))

simplify115.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

979×	`fma-def_binary64`
574×	`fma-neg_binary64`
365×	`distribute-rgt-neg-in_binary64`
362×	`sqr-pow_binary64`
362×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	200
1	24	200
2	54	200
3	144	200
4	608	200
5	1254	200
6	1558	200
7	1913	200
8	2611	200
9	3149	200
10	3588	200
11	4070	200
12	4998	200
13	6371	200

Stop Event

1×	node limit

Counts

77 → 57

Calls

Call 1

Inputs
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(*.f64 l (PI.f64))
(.f64 -1 (.f64 l (PI.f64)))
(.f64 -1 (.f64 l (PI.f64)))
(.f64 -1 (.f64 l (PI.f64)))
(.f64 -1 (.f64 l (PI.f64)))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))
(*.f64 (pow.f64 l 2) (pow.f64 (PI.f64) 2))

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

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
✓	0.5b	(pow.f64 (cbrt.f64 l) 2)
✓	0.6b	(cbrt.f64 l)
✓	26.8b	(tan.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)))

Compiler

Compiled 84 to 41 computations (51.2% saved)

series10.0ms (0.1%)

Counts

4 → 24

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	l	@	0	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
1.0ms	l	@	-inf	(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))
1.0ms	l	@	-inf	(tan.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)))
1.0ms	l	@	0	(tan.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)))
1.0ms	l	@	inf	(tan.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)))

rewrite86.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
722×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	184	21
2	2056	21

Stop Event

1×	node limit

Counts

4 → 69

Calls

Call 1

Inputs
(tan.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)))
(cbrt.f64 l)
(pow.f64 (cbrt.f64 l) 2)
(.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))

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

simplify85.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

549×	`cancel-sign-sub-inv_binary64`
521×	`distribute-rgt-in_binary64`
498×	`distribute-lft-in_binary64`
447×	`distribute-rgt-neg-in_binary64`
440×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	470
1	162	398
2	514	377
3	2889	348

Stop Event

1×	node limit

Counts

93 → 78

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 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))))
(/.f64 (sin.f64 (.f64 (pow.f64 1 1/3) (.f64 l (PI.f64)))) (cos.f64 (.f64 (pow.f64 1 1/3) (.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))

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

eval601.0ms (4.1%)

Compiler: Compiled 12825 to 5967 computations (53.5% saved)

prune278.0ms (1.9%)

Pruning

64 alts after pruning (53 fresh and 11 done)

	Pruned	Kept	Total
New	575	25	600
Fresh	17	28	45
Picked	0	1	1
Done	2	10	12
Total	594	64	658

Error

1.7b

Counts

658 → 64

Alt Table

Click to see full alt table

Status	Error	Program
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	39.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
	40.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 l 1/3) 2)) (cbrt.f64 l))) F) F))
	3.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (pow.f64 l 3) (+.f64 (.f64 -1 (/.f64 (.f64 F (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
	44.1b	(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	8.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))))
	27.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
	12.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
	40.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 l 1/3))) F) F))
	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
	41.1b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	8.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))))
	32.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 F 3) -2/3) (tan.f64 (*.f64 (PI.f64) l))))
	34.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))))
	12.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	34.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
	46.4b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
✓	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
	40.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 l) (pow.f64 l 1/6))) (cbrt.f64 l))) F) F))
✓	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
	44.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	27.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
	24.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	26.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
	15.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 1 F) (PI.f64)) (/.f64 l F)))
✓	44.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	12.8b	(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
	38.6b	(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
	33.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
	26.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2)) (/.f64 l F)))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (*.f64 l (PI.f64))))
	21.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
✓	12.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) F) F))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F) F))
	41.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
	40.3b	(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
	27.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	12.8b	(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	15.7b	(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
	40.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))))
	12.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F) F))
	2.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 l)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
	48.2b	(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
✓	18.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
	44.0b	(-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	16.4b	(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
	29.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l))) F) F))
✓	12.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	3.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))
	18.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 F) -6) (tan.f64 (*.f64 (PI.f64) l))))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
	25.6b	(-.f64 (.f64 (PI.f64) l) (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l)))))

Compiler

Compiled 1453 to 992 computations (31.7% saved)

regimes671.0ms (4.6%)

Counts

105 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 l)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (pow.f64 l 3) (+.f64 (.f64 -1 (/.f64 (.f64 F (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))))
(-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 l) (pow.f64 l 1/6))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 l 1/3) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 l 1/3))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F) (/.f64 1 F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 F 3) -2/3) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 F) -6) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (*.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 1 F) (PI.f64)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (*.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

Outputs

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (*.f64 l (PI.f64))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l)))) (fma.f64 (pow.f64 l 3) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (*.f64 (-.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (*.f64 (pow.f64 (PI.f64) 4) (*.f64 (*.f64 1/24 (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3)))) (*.f64 (pow.f64 (PI.f64) 2) -1/2) (*.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (*.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (*.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))

Calls

9 calls:

91.0ms	(*.f64 (PI.f64) l)
87.0ms	(*.f64 (PI.f64) l)
70.0ms	l
64.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
57.0ms	(*.f64 F F)

Results

Error	Segments	Branch
2.4b	1	`F`
2.4b	1	`l`
2.4b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
2.4b	1	`(*.f64 (PI.f64) l)`
2.4b	1	`(*.f64 (PI.f64) l)`
2.4b	1	`(/.f64 1 (*.f64 F F))`
2.4b	1	`(/.f64 1 (*.f64 F F))`
2.4b	1	`(*.f64 F F)`
2.4b	1	`(*.f64 F F)`

Compiler

Compiled 1998 to 873 computations (56.3% saved)

regimes543.0ms (3.7%)

Counts

104 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (+.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 -1 (.f64 (pow.f64 l 3) (+.f64 (.f64 -1 (/.f64 (.f64 F (pow.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) 2)) (pow.f64 (PI.f64) 3))) (/.f64 (.f64 F (-.f64 (.f64 1/120 (pow.f64 (PI.f64) 5)) (+.f64 (.f64 1/24 (pow.f64 (PI.f64) 5)) (.f64 -1/2 (.f64 (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))) (pow.f64 (PI.f64) 2)))))) (pow.f64 (PI.f64) 2)))))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (fma.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (.f64 (+.f64 (pow.f64 F -2) -1) (tan.f64 (*.f64 (PI.f64) l)))))
(-.f64 (.f64 (cbrt.f64 (.f64 (PI.f64) l)) (.f64 (cbrt.f64 (sqrt.f64 (.f64 (PI.f64) l))) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))))
(-.f64 (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (.f64 (pow.f64 (.f64 (PI.f64) l) 1/4) (sqrt.f64 (.f64 (PI.f64) l)))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (cbrt.f64 (.f64 (PI.f64) l))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (*.f64 (cbrt.f64 (PI.f64)) l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (pow.f64 (cbrt.f64 (PI.f64)) 2)) (cbrt.f64 (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 l) (pow.f64 l 1/6))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 l 1/3) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 l 1/3))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F) (/.f64 1 F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 F 3) -2/3) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 F) -6) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (*.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 1 F) (PI.f64)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (*.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

Outputs

(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (*.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (*.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (*.f64 -1/2 (*.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (*.f64 (*.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))

Calls

9 calls:

106.0ms	(*.f64 (PI.f64) l)
103.0ms	l
51.0ms	(*.f64 (PI.f64) l)
50.0ms	F
48.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
3.2b	1	`F`
3.2b	1	`l`
3.2b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
3.2b	1	`(*.f64 (PI.f64) l)`
3.2b	1	`(*.f64 (PI.f64) l)`
3.2b	1	`(/.f64 1 (*.f64 F F))`
3.2b	1	`(/.f64 1 (*.f64 F F))`
3.2b	1	`(*.f64 F F)`
3.2b	1	`(*.f64 F F)`

Compiler

Compiled 1815 to 737 computations (59.4% saved)

regimes669.0ms (4.6%)

Counts

102 → 1

Calls

Call 1

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

Outputs

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

Calls

9 calls:

146.0ms	(*.f64 (PI.f64) l)
98.0ms	(*.f64 (PI.f64) l)
65.0ms	l
64.0ms	F
58.0ms	(*.f64 F F)

Results

Error	Segments	Branch
8.2b	1	`F`
8.2b	1	`l`
8.2b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
8.2b	1	`(*.f64 (PI.f64) l)`
8.2b	1	`(*.f64 (PI.f64) l)`
8.2b	1	`(/.f64 1 (*.f64 F F))`
8.2b	1	`(/.f64 1 (*.f64 F F))`
8.2b	1	`(*.f64 F F)`
8.2b	1	`(*.f64 F F)`

Compiler

Compiled 1654 to 623 computations (62.3% saved)

regimes630.0ms (4.3%)

Counts

99 → 1

Calls

Call 1

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

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

Calls

9 calls:

109.0ms	F
100.0ms	(*.f64 (PI.f64) l)
76.0ms	(*.f64 (PI.f64) l)
76.0ms	l
53.0ms	(/.f64 1 (*.f64 F F))

Results

Error	Segments	Branch
8.2b	1	`F`
8.2b	1	`l`
8.2b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
8.2b	1	`(*.f64 (PI.f64) l)`
8.2b	1	`(*.f64 (PI.f64) l)`
8.2b	1	`(/.f64 1 (*.f64 F F))`
8.2b	1	`(/.f64 1 (*.f64 F F))`
8.2b	1	`(*.f64 F F)`
8.2b	1	`(*.f64 F F)`

Compiler

Compiled 1568 to 587 computations (62.6% saved)

regimes518.0ms (3.5%)

Counts

90 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (.f64 (sqrt.f64 l) (pow.f64 l 1/6))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (pow.f64 l 1/3) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (pow.f64 l 1/3))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))))))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (expm1.f64 (log1p.f64 (*.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (pow.f64 F -2))) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (.f64 (PI.f64) (cbrt.f64 (.f64 l l))) (cbrt.f64 l))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) l)) 2)) F) (/.f64 1 F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(-.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (*.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l))) F) F))
(-.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) 3) (pow.f64 l 3))) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 l)) (sqrt.f64 l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2))) F) F))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 F 3) -2/3) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (exp.f64 (.f64 -2 (log.f64 F))) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 F) -6) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (PI.f64) F) 2)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) F))
(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 F -2) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (tan.f64 (.f64 (PI.f64) l))) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (+.f64 (tan.f64 (.f64 (PI.f64) l)) -1) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (-.f64 (+.f64 1 (tan.f64 (.f64 (PI.f64) l))) 1) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (/.f64 1 F) (/.f64 1 F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 (PI.f64) l) (.f64 (-.f64 (+.f64 1 (pow.f64 F -2)) 1) (*.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
(-.f64 (.f64 l (neg.f64 (PI.f64))) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (pow.f64 F -2) l)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (.f64 (neg.f64 l) (/.f64 1 (.f64 F (neg.f64 F))))))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (/.f64 1 F) (PI.f64)) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 (PI.f64) (/.f64 l F)) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 1 F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (*.f64 (/.f64 l F) (/.f64 1 F))))
(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (*.f64 l (PI.f64)))))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (.f64 l (PI.f64))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 (PI.f64) F) l) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 l F) (/.f64 F (PI.f64))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) F) (/.f64 F l)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (PI.f64) F) (/.f64 l F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (PI.f64) (.f64 (/.f64 F l) F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (/.f64 l F) (PI.f64)) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (PI.f64) (/.f64 F (/.f64 l F))))
(-.f64 (.f64 (PI.f64) l) (.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))

Calls

8 calls:

143.0ms	F
82.0ms	l
68.0ms	(*.f64 F F)
52.0ms	(*.f64 (PI.f64) l)
42.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Error	Segments	Branch
12.1b	1	`F`
12.1b	1	`l`
12.1b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
12.1b	1	`(*.f64 (PI.f64) l)`
12.1b	1	`(/.f64 1 (*.f64 F F))`
12.1b	1	`(/.f64 1 (*.f64 F F))`
12.1b	1	`(*.f64 F F)`
12.1b	1	`(*.f64 F F)`

Compiler

Compiled 1384 to 515 computations (62.8% saved)

regimes226.0ms (1.5%)

Counts

40 → 1

Calls

Call 1

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

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))

Calls

8 calls:

64.0ms	(/.f64 1 (*.f64 F F))
38.0ms	(*.f64 (PI.f64) l)
27.0ms	F
26.0ms	l
19.0ms	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Results

Error	Segments	Branch
12.1b	1	`F`
12.1b	1	`l`
12.1b	1	`(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))`
12.1b	1	`(*.f64 (PI.f64) l)`
12.1b	1	`(/.f64 1 (*.f64 F F))`
12.1b	1	`(/.f64 1 (*.f64 F F))`
12.1b	1	`(*.f64 F F)`
12.1b	1	`(*.f64 F F)`

Compiler

Compiled 575 to 212 computations (63.1% saved)

regimes73.0ms (0.5%)

Accuracy

Total -6.1b remaining (-38.7%)

Threshold costs -6.1b (-38.7%)

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	(*.f64 F F)
11.0ms	F
11.0ms	l
7.0ms	(/.f64 1 (*.f64 F F))
6.0ms	(*.f64 F F)

Results

Error	Segments	Branch
15.7b	1	`F`
15.7b	1	`l`
15.7b	1	`(/.f64 1 (*.f64 F F))`
15.7b	1	`(*.f64 F F)`
15.7b	1	`(*.f64 F F)`

Compiler

Compiled 250 to 92 computations (63.2% saved)

simplify134.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

238×	`distribute-rgt-neg-in_binary64`
177×	`cancel-sign-sub-inv_binary64`
168×	`neg-sub0_binary64`
167×	`neg-mul-1_binary64`
154×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	104	584
1	175	582
2	260	582
3	348	580
4	424	580
5	466	580
6	504	580
7	522	580
8	553	580
9	652	580
10	803	580
11	976	580
12	1143	580
13	1353	580
14	1531	580
15	1669	580
16	1790	580
17	1879	580
18	1929	580
19	1943	580

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 l)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))

Outputs
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 l)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 (.f64 1/24 (pow.f64 (PI.f64) 3)) -1/3))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 l -1/3)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 -1/3 (.f64 (pow.f64 (PI.f64) 3) 1/24)))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
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(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 l -1/3)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) -1/24)))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) 1/3))))))))) (pow.f64 l 5))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (.f64 l 1/3)))) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (-.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 -1/5040 (pow.f64 (PI.f64) 7) (.f64 (pow.f64 (PI.f64) 4) (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) -1/24)))) (fma.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (.f64 (pow.f64 (PI.f64) 2) -1/2) (.f64 (pow.f64 (PI.f64) 7) -1/720)))) (fma.f64 (/.f64 (pow.f64 (PI.f64) 3) (/.f64 (PI.f64) 1/3)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)))) (.f64 (/.f64 F (pow.f64 (PI.f64) 3)) (.f64 (pow.f64 (PI.f64) 3) (.f64 1/3 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (*.f64 (pow.f64 (PI.f64) 3) -1/3))))))))) (pow.f64 l 5))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 (pow.f64 l 3) (neg.f64 (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 F l) (*.f64 (pow.f64 (PI.f64) 3) -1/3)) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (neg.f64 (-.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))) (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9))))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (*.f64 l F)) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (+.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)) (neg.f64 (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3))))))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (*.f64 l F)) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 -1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) -1/3)))))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (*.f64 l F)) (pow.f64 (PI.f64) 2))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 (pow.f64 l 3) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (-.f64 (/.f64 (pow.f64 (PI.f64) 6) (/.f64 (PI.f64) 1/9)) (fma.f64 (pow.f64 (PI.f64) 5) -1/30 (.f64 1/2 (.f64 (pow.f64 (PI.f64) 2) (.f64 (pow.f64 (PI.f64) 3) 1/3)))))) (/.f64 (.f64 (.f64 (pow.f64 (PI.f64) 3) -1/3) (*.f64 l F)) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (.f64 -1 (/.f64 (.f64 F (.f64 l (-.f64 (.f64 -1/6 (pow.f64 (PI.f64) 3)) (.f64 -1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))) (/.f64 F (*.f64 l (PI.f64))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (neg.f64 (/.f64 (.f64 F (.f64 l (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/6) (.f64 1/2 (pow.f64 (PI.f64) 3))))) (pow.f64 (PI.f64) 2))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 (.f64 F (.f64 l (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/6) (.f64 (pow.f64 (PI.f64) 3) 1/2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 (.f64 F (.f64 l (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/6) (.f64 (pow.f64 (PI.f64) 3) 1/2)))) (pow.f64 (PI.f64) 2)))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 (.f64 F (.f64 l (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/2) (.f64 (pow.f64 (PI.f64) 3) 1/6)))) (pow.f64 (PI.f64) 2)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (/.f64 (.f64 F (.f64 l (+.f64 (.f64 (pow.f64 (PI.f64) 3) -1/2) (.f64 (pow.f64 (PI.f64) 3) 1/6)))) (pow.f64 (PI.f64) 2)))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 l (PI.f64))) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 1/3 l))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 l 1/3))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 l 1/3))))))
(+.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 -1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (.f64 (/.f64 F (pow.f64 (PI.f64) 2)) (.f64 (pow.f64 (PI.f64) 3) (*.f64 l -1/3))))))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) F) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (PI.f64) (/.f64 F l)) F))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (PI.f64)) (*.f64 F F)))
(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (PI.f64) l) (*.f64 F F)))

Compiler

Compiled 368 to 262 computations (28.8% saved)

soundness1.0s (7.1%)

Algorithm

2×	egg-herbie

Rules

652×	`times-frac_binary64`
588×	`associate-/l*_binary64`
519×	`fma-def_binary64`
327×	`associate-/r*_binary64`
317×	`associate-*l/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	57	20
3	139	20
4	236	20
5	375	20
6	501	20
7	641	20
8	833	20
9	1103	20
10	1157	20
0	116	1668
1	362	1563
2	1560	1505

Stop Event

1×	node limit
1×	saturated

Compiler

Compiled 29618 to 23538 computations (20.5% saved)

end246.0ms (1.7%)

Compiler: Compiled 354 to 230 computations (35% saved)

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88

Iter	Nodes	Cost
0	9	88
1	18	88
2	48	88
3	94	88
4	108	88
5	156	88
6	228	88
7	265	88
8	307	88
9	476	88
10	504	88