Details

analyze1.2s (13.6%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.3s (38.9%)

Results

1.2s	1079×	body	2048	valid
942.0ms	1854×	body	1024	valid
542.0ms	4223×	body	128	valid
248.0ms	719×	body	512	valid
166.0ms	44×	body	4096	valid
81.0ms	337×	body	256	valid
28.0ms	205×	body	128	invalid
5.0ms	7×	body	8192	exit
3.0ms	3×	body	2048	invalid

Compiler

Compiled 50 to 32 computations (36% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

16.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.3b	(*.f64 (PI.f64) l)
✓	3.8b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.7b	(tan.f64 (*.f64 (PI.f64) l))

series113.0ms (1.3%)

Counts

4 → 60

Calls

4 calls:

62.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
38.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
11.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite74.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary64`
276×	`fma-def_binary64`
197×	`egg-rr`
187×	`expm1-udef_binary64`
187×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	200	45
2	2871	45

Stop Event

1×	node limit

Counts

4 → 197

Calls

4 calls:

70.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
70.0ms	(*.f64 (PI.f64) l)
70.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
70.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

257 → 226

prune365.0ms (4.3%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	221	21	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	223	21	244

Error

12.6b

Counts

244 → 21

Alt Table

Status	Error	Program
	39.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	39.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	13.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) F) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) F)))
	27.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l))))) (log.f64 (sqrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F)))
	46.3b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)))
	17.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2) 1) (/.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (*.f64 F F))))
	40.0b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.4b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	27.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 (PI.f64) l))))) (*.f64 F F)))
▶	12.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	27.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	20.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
	25.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	38.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	16.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	40.5b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	27.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F)))
	44.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	36.4b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 6622 to 2899 computations (56.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.7b	(tan.f64 (*.f64 (PI.f64) l))

series89.0ms (1%)

Counts

2 → 48

Calls

2 calls:

48.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
41.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite47.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
186×	`pow1/3_binary64`
179×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`
169×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	23
2	2703	23

Stop Event

1×	node limit

Counts

2 → 98

Calls

2 calls:

46.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
46.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

146 → 117

prune406.0ms (4.7%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	171	10	181
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	178	24	202

Error

12.5b

Counts

202 → 24

Alt Table

Status	Error	Program
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.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)))))
	25.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
▶	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	39.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	19.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)) (/.f64 1 F)))
	27.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))) (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (log.f64 (cbrt.f64 (exp.f64 (tan.f64 (.f64 (PI.f64) l)))))) (.f64 F F)))
	21.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	46.3b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)))
	17.1b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	44.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	39.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) F) (/.f64 1 F)))
	28.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3) 1/3) (/.f64 1 F)))
	36.4b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.4b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	27.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log.f64 (+.f64 1 (expm1.f64 (tan.f64 (.f64 (PI.f64) l))))) (*.f64 F F)))
	38.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) F) (/.f64 1 F)))
	20.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))
	16.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	40.5b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	15.3b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	16.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	40.0b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 4546 to 2093 computations (54% saved)

localize9.0ms (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)
	30.7b	(tan.f64 (*.f64 (PI.f64) l))

series114.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

64.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
50.0ms	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	213	23
2	2911	23

Stop Event

1×	node limit

Counts

2 → 82

Calls

2 calls:

47.0ms	(/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
47.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

130 → 101

prune231.0ms (2.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	13	10	23
Picked	1	0	1
Done	0	0	0
Total	174	15	189

Error

2.9b

Counts

189 → 15

Alt Table

Status	Error	Program
	3.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) -1/45))) (.f64 (pow.f64 (PI.f64) 5) (.f64 (.f64 F (pow.f64 l 5)) -2/945))))))
	46.3b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)))
	13.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	44.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	38.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) F) (/.f64 1 F)))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) 3)))
	17.4b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.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)))))
▶	3.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (*.f64 (pow.f64 l 3) F))))))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	39.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	19.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)) (/.f64 1 F)))
	40.0b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	36.4b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))

Compiler

Compiled 4108 to 1910 computations (53.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.3b	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
✓	2.3b	(*.f64 (pow.f64 l 5) F)
✓	4.3b	(*.f64 (pow.f64 l 3) F)

series283.0ms (3.3%)

Counts

4 → 48

Calls

4 calls:

260.0ms	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
14.0ms	(*.f64 (pow.f64 l 5) F)
10.0ms	(*.f64 (pow.f64 l 3) F)
0.0ms	(pow.f64 (PI.f64) 5)

rewrite39.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

315×	`log1p-expm1-u_binary64`
315×	`expm1-log1p-u_binary64`
313×	`add-cbrt-cube_binary64`
304×	`add-log-exp_binary64`
303×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	678	74

Stop Event

1×	node limit

Counts

4 → 56

Calls

4 calls:

38.0ms	(pow.f64 (PI.f64) 5)
38.0ms	(/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (.f64 (pow.f64 l 5) F))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F)))))))
38.0ms	(*.f64 (pow.f64 l 5) F)
38.0ms	(*.f64 (pow.f64 l 3) F)

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

549×	`associate-/r*_binary64`
434×	`associate-l_binary64`
396×	`associate-r_binary64`
258×	`times-frac_binary64`
187×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	87	1422
1	258	1416
2	943	1408

Stop Event

1×	node limit

Counts

104 → 78

prune153.0ms (1.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	1	13	14
Picked	1	0	1
Done	0	0	0
Total	79	14	93

Error

0.3b

Counts

93 → 14

Alt Table

Status	Error	Program
	39.8b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	0.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (-.f64 (/.f64 F (.f64 (PI.f64) l)) (+.f64 (.f64 1/3 (.f64 (PI.f64) (.f64 F l))) (+.f64 (.f64 2/945 (.f64 (pow.f64 (PI.f64) 5) (log.f64 (pow.f64 (exp.f64 (pow.f64 l 5)) F)))) (.f64 1/45 (.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 l 3) F))))))))
	13.4b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	44.7b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (/.f64 1 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (*.f64 (PI.f64) l))))
	38.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (*.f64 (PI.f64) l) 3))) F) (/.f64 1 F)))
	13.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (pow.f64 (cbrt.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l)))) 3)))
	17.4b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	13.1b	(-.f64 (.f64 (PI.f64) l) (/.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)))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
	19.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)) (/.f64 1 F)))
	46.3b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)))
	40.0b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	36.4b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.7b	(-.f64 (.f64 (PI.f64) l) (.f64 l (/.f64 (PI.f64) (*.f64 F F))))

Compiler

Compiled 3811 to 2185 computations (42.7% saved)

regimes1.6s (18.7%)

Accuracy

Total 0.4b remaining (57.4%)

Threshold costs 0.4b (57.4%)

Counts

198 → 1

Compiler

Compiled 30505 to 19728 computations (35.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
23×	`+-commutative_binary64`
21×	`sub-neg_binary64`
19×	`neg-sub0_binary64`
19×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	76
1	50	76
2	63	76
3	88	76
4	124	76
5	159	76
6	187	76
7	205	76
8	213	76
9	214	76

Stop Event

1×

saturated

end248.0ms (2.9%)

Compiler: Compiled 430 to 277 computations (35.6% saved)

Details

analyze1.2s (13.6%)

sample3.3s (38.9%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series113.0ms (1.3%)

rewrite74.0ms (0.9%)

simplify50.0ms (0.6%)

prune365.0ms (4.3%)

localize8.0ms (0.1%)

series89.0ms (1%)

rewrite47.0ms (0.6%)

simplify38.0ms (0.4%)

prune406.0ms (4.7%)

localize9.0ms (0.1%)

series114.0ms (1.3%)

rewrite49.0ms (0.6%)

simplify44.0ms (0.5%)

prune231.0ms (2.7%)

localize27.0ms (0.3%)

series283.0ms (3.3%)

rewrite39.0ms (0.5%)

simplify38.0ms (0.4%)

prune153.0ms (1.8%)

regimes1.6s (18.7%)

simplify6.0ms (0.1%)

end248.0ms (2.9%)

Profiling