Details

analyze1.1s (13.4%)

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 (39.8%)

Results

1.3s	1123×	body	2048	valid
925.0ms	1856×	body	1024	valid
517.0ms	4169×	body	128	valid
239.0ms	720×	body	512	valid
222.0ms	61×	body	4096	valid
75.0ms	327×	body	256	valid
23.0ms	180×	body	128	invalid
3.0ms	3×	body	2048	invalid
3.0ms	4×	body	8192	exit

Compiler

Compiled 34 to 22 computations (35.3% saved)

preprocess65.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

816×	`fma-def_binary64`
780×	`fma-neg_binary64`
432×	`times-frac_binary64`
354×	`div-sub_binary64`
199×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	46
1	43	40
2	103	40
3	265	40
4	450	40
5	730	40
6	998	40
7	1398	40
8	2553	40
9	4219	40
10	4830	40
11	4880	40
12	4910	40
13	4924	40
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify17.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

15.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	15.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.7b	(-.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)))
✓	0.2b	(*.f64 (PI.f64) l)
✓	3.3b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	33.2b	(tan.f64 (*.f64 (PI.f64) l))

series119.0ms (1.4%)

Counts

4 → 60

Calls

18 calls:

31.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))	l	inf
11.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))	l	inf
11.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))	l	-inf
7.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))	F	inf
7.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))	l	-inf

rewrite76.0ms (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

simplify53.0ms (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

prune357.0ms (4.3%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	223	19	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	225	19	244

Error

12.5b

Counts

244 → 19

Alt Table

Status	Error	Program
	19.9b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
▶	12.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	36.8b	(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))))
	46.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.f64 1 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
	16.6b	(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (*.f64 (PI.f64) l))) 2))
	38.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	22.2b	(-.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)))
	36.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.0b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	54.4b	(pow.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 3) 1/3)
	36.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	22.8b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	49.8b	(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 2))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)))
	32.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	16.5b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))

Compiler

Compiled 6608 to 2905 computations (56% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.2b	(*.f64 (PI.f64) l)
	33.2b	(tan.f64 (*.f64 (PI.f64) l))

series84.0ms (1%)

Counts

2 → 48

Calls

12 calls:

11.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))	l	inf
11.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))	l	-inf
9.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)	F	inf
7.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))	F	0
7.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)	F	-inf

rewrite55.0ms (0.7%)

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

simplify38.0ms (0.5%)

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

prune331.0ms (4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	1	17	18
Picked	1	0	1
Done	0	0	0
Total	178	22	200

Error

12.5b

Counts

200 → 22

Alt Table

Status	Error	Program
	19.9b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
	36.8b	(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))))
	46.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.f64 1 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	16.6b	(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (*.f64 (PI.f64) l))) 2))
	38.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3))) (*.f64 F F)))
	19.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	22.2b	(-.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)))
	36.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	15.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
▶	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
	54.4b	(pow.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 3) 1/3)
	36.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	22.8b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))) 1))
	49.8b	(sqrt.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 2))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)))
	32.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	16.5b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))

Compiler

Compiled 4546 to 2089 computations (54% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
	0.2b	(*.f64 (PI.f64) l)
✓	0.8b	(/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))
	33.2b	(tan.f64 (*.f64 (PI.f64) l))

series114.0ms (1.4%)

Counts

2 → 48

Calls

12 calls:

15.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))	F	-inf
13.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))	l	-inf
12.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))	F	0
12.0ms	(/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))	l	-inf
12.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))	F	inf

rewrite44.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

530×	`log-prod_binary64`
188×	`pow1/3_binary64`
183×	`expm1-udef_binary64`
183×	`log1p-udef_binary64`
173×	`pow3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	207	23
2	2688	23

Stop Event

1×	node limit

Counts

2 → 68

simplify43.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1112
1	180	1106
2	614	1102
3	3544	1098

Stop Event

1×	node limit

Counts

116 → 87

prune209.0ms (2.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	8	13	21
Picked	1	0	1
Done	0	0	0
Total	158	15	173

Error

1.3b

Counts

173 → 15

Alt Table

Status	Error	Program
	35.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 1 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	36.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	19.9b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
	36.8b	(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))))
	46.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.f64 1 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	12.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
	54.4b	(pow.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 3) 1/3)
	16.6b	(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (*.f64 (PI.f64) l))) 2))
▶	1.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (*.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)))
	19.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)))
	16.5b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))

Compiler

Compiled 3824 to 1687 computations (55.9% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)
✓	1.0b	(pow.f64 (PI.f64) 3)
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	3.5b	(.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5)))

series140.0ms (1.7%)

Counts

4 → 48

Calls

12 calls:

32.0ms	(.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)	F	-inf
28.0ms	(.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)	F	0
25.0ms	(.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)	F	inf
8.0ms	(.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5)))	F	-inf
7.0ms	(.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (.f64 (pow.f64 l 5) (.f64 F (pow.f64 (PI.f64) 5))) -2/945))) F)	l	-inf

rewrite36.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

251×	`add-sqr-sqrt_binary64`
240×	`log1p-expm1-u_binary64`
240×	`expm1-log1p-u_binary64`
237×	`add-cbrt-cube_binary64`
233×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	79
1	521	76

Stop Event

1×	node limit

Counts

4 → 57

simplify55.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

663×	`associate-l_binary64`
589×	`unswap-sqr_binary64`
509×	`associate-r_binary64`
258×	`fma-def_binary64`
248×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	68	1437
1	208	1437
2	731	1393
3	4330	1393

Stop Event

1×	node limit

Counts

105 → 76

prune147.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	75	16	91

Error

0.6b

Counts

91 → 16

Alt Table

Status	Error	Program
	35.1b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 1 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	36.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	19.9b	(-.f64 (.f64 (PI.f64) l) (cbrt.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3)))
	36.8b	(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))))
	46.6b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3)) (/.f64 1 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (*.f64 (PI.f64) l) 2))))
	12.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	12.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (*.f64 (PI.f64) l)) 3)) F) (/.f64 1 F)))
	54.4b	(pow.f64 (pow.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l)) 3) 1/3)
	1.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (pow.f64 (.f64 F (+.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 F (fma.f64 (.f64 l (PI.f64)) -1/3 (.f64 (pow.f64 (.f64 l (PI.f64)) 3) -1/45)) (.f64 (pow.f64 l 5) (.f64 (*.f64 F (pow.f64 (PI.f64) 5)) -2/945))))) 1)))
	1.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (+.f64 (/.f64 F (.f64 (PI.f64) l)) (fma.f64 F (fma.f64 (.f64 (PI.f64) l) -1/3 (.f64 (pow.f64 l 3) (.f64 (pow.f64 (PI.f64) 3) -1/45))) (.f64 (log1p.f64 (expm1.f64 (.f64 (pow.f64 l 5) (*.f64 F (pow.f64 (PI.f64) 5))))) -2/945))) F)))
	16.5b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	16.6b	(.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (*.f64 (PI.f64) l))) 2))
	19.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	41.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	41.9b	(/.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (/.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2) (pow.f64 F 4))) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)))
	46.6b	(/.f64 1 (/.f64 (fma.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2) (.f64 (PI.f64) l)) (pow.f64 (.f64 (PI.f64) l) 2)) (-.f64 (pow.f64 (.f64 (PI.f64) l) 3) (pow.f64 (.f64 (tan.f64 (.f64 (PI.f64) l)) (pow.f64 F -2)) 3))))

Compiler

Compiled 3555 to 2109 computations (40.7% saved)

regimes1.5s (18.5%)

Accuracy

Total 0.8b remaining (40.1%)

Threshold costs 0.8b (40.1%)

Counts

195 → 1

Compiler

Compiled 29312 to 18891 computations (35.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
3×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`distribute-neg-frac_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	69
1	41	69
2	47	69
3	49	69
4	50	69

Stop Event

1×

saturated

end307.0ms (3.7%)

Stop Event

1×

fuel

Compiler

Compiled 513 to 326 computations (36.5% saved)

Details

analyze1.1s (13.4%)

sample3.3s (39.8%)

preprocess65.0ms (0.8%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series119.0ms (1.4%)

rewrite76.0ms (0.9%)

simplify53.0ms (0.6%)

prune357.0ms (4.3%)

localize15.0ms (0.2%)

series84.0ms (1%)

rewrite55.0ms (0.7%)

simplify38.0ms (0.5%)

prune331.0ms (4%)

localize8.0ms (0.1%)

series114.0ms (1.4%)

rewrite44.0ms (0.5%)

simplify43.0ms (0.5%)

prune209.0ms (2.5%)

localize23.0ms (0.3%)

series140.0ms (1.7%)

rewrite36.0ms (0.4%)

simplify55.0ms (0.7%)

prune147.0ms (1.8%)

regimes1.5s (18.5%)

simplify3.0ms (0%)

end307.0ms (3.7%)

Profiling