Details

analyze1.1s (15%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.4s (44.7%)

Results

1.3s	1079×	body	2048	valid
937.0ms	1959×	body	1024	valid
531.0ms	4160×	body	128	valid
235.0ms	697×	body	512	valid
198.0ms	54×	body	4096	valid
74.0ms	307×	body	256	valid
23.0ms	166×	body	128	invalid
6.0ms	8×	body	2048	invalid
3.0ms	4×	body	8192	exit

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

16.9b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	16.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
✓	0.3b	(*.f64 (PI.f64) l)
✓	5.4b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series102.0ms (1.4%)

Counts

4 → 60

Calls

4 calls:

51.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
36.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
13.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite73.0ms (1%)

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:

68.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
68.0ms	(*.f64 (PI.f64) l)
68.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
68.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify50.0ms (0.7%)

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

prune341.0ms (4.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	225	17	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	227	17	244

Error

11.4b

Counts

244 → 17

Alt Table

Status	Error	Program
	17.1b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	17.3b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))) 3))
	43.4b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.8b	(.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))
	42.9b	(fma.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	17.7b	(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))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	37.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	17.7b	(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))))
	47.2b	(fma.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	41.7b	(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) 2)
	29.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))

Compiler

Compiled 6506 to 2845 computations (56.3% 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))
✓	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series86.0ms (1.1%)

Counts

2 → 48

Calls

2 calls:

48.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
38.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

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

Calls

2 calls:

53.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
53.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

simplify37.0ms (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

prune312.0ms (4.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	175	6	181
Fresh	3	13	16
Picked	1	0	1
Done	0	0	0
Total	179	19	198

Error

11.4b

Counts

198 → 19

Alt Table

Status	Error	Program
	43.4b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.8b	(.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))
▶	11.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) (/.f64 1 F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	17.7b	(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))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	17.7b	(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))))
	17.1b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	47.2b	(fma.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	41.7b	(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) 2)
	29.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	17.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (cbrt.f64 (*.f64 F F))) (cbrt.f64 F)))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))

Compiler

Compiled 4360 to 1975 computations (54.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) (/.f64 1 F))
	0.3b	(*.f64 (PI.f64) l)
✓	0.5b	(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series150.0ms (2%)

Counts

2 → 48

Calls

2 calls:

101.0ms	(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
49.0ms	(.f64 (pow.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) -1) (/.f64 1 F))

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
207×	`expm1-udef_binary64`
207×	`log1p-udef_binary64`
195×	`log-pow_binary64`
121×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	247	23
2	3068	23

Stop Event

1×	node limit

Counts

2 → 84

Calls

2 calls:

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

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
771×	`associate-/r/_binary64`
689×	`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	2267	1118

Stop Event

1×	node limit

Counts

132 → 103

prune287.0ms (3.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	17	18
Picked	0	1	1
Done	0	0	0
Total	167	19	186

Error

11.4b

Counts

186 → 19

Alt Table

Status	Error	Program
	43.4b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.8b	(.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))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) (/.f64 1 F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	17.7b	(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))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	11.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) 3))
	17.7b	(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))))
	17.1b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	47.2b	(fma.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	41.7b	(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) 2)
	29.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))

Compiler

Compiled 4284 to 1966 computations (54.1% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
	0.3b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	0.3b	(*.f64 (PI.f64) l)
	30.5b	(tan.f64 (*.f64 (PI.f64) l))

series50.0ms (0.7%)

Counts

1 → 24

Calls

1 calls:

50.0ms

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

rewrite41.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

876×	`log1p-expm1-u_binary64`
876×	`expm1-log1p-u_binary64`
88×	`add-sqr-sqrt_binary64`
81×	`add-log-exp_binary64`
80×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2360	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

1 calls:

40.0ms

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

simplify26.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/r/_binary64`
440×	`associate-/l/_binary64`
439×	`fma-def_binary64`
424×	`associate-*l/_binary64`
337×	`associate-*r/_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	610
1	98	604
2	334	604
3	1809	604

Stop Event

1×	node limit

Counts

63 → 49

prune282.0ms (3.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	167	18	185

Error

11.4b

Counts

185 → 18

Alt Table

Status	Error	Program
	43.4b	(exp.f64 (log.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.8b	(.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))
✓	11.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	17.5b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	11.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) (/.f64 1 F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (*.f64 l (/.f64 (PI.f64) F)) (/.f64 1 F)))
	17.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	22.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (cbrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	17.7b	(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))))
	21.5b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)))))
	16.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 l (/.f64 (PI.f64) F)) F))
	17.1b	(fma.f64 (PI.f64) l (.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	20.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
	47.2b	(fma.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))) (fma.f64 (neg.f64 (pow.f64 F -2)) (tan.f64 (.f64 (PI.f64) l)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2))))
	41.7b	(pow.f64 (sqrt.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))) 2)
	29.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	22.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	17.7b	(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))))

Compiler

Compiled 3543 to 1356 computations (61.7% saved)

regimes734.0ms (9.7%)

Accuracy

Total 0.3b remaining (2.2%)

Threshold costs 0.3b (2.2%)

Counts

123 → 1

Compiler

Compiled 15489 to 9362 computations (39.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	22	26
2	32	26
3	40	26
4	44	26
5	45	26

Stop Event

1×

saturated

end270.0ms (3.6%)

Compiler: Compiled 409 to 257 computations (37.2% saved)

Details

analyze1.1s (15%)

sample3.4s (44.7%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series102.0ms (1.4%)

rewrite73.0ms (1%)

simplify50.0ms (0.7%)

prune341.0ms (4.5%)

localize8.0ms (0.1%)

series86.0ms (1.1%)

rewrite55.0ms (0.7%)

simplify37.0ms (0.5%)

prune312.0ms (4.1%)

localize9.0ms (0.1%)

series150.0ms (2%)

rewrite48.0ms (0.6%)

simplify37.0ms (0.5%)

prune287.0ms (3.8%)

localize7.0ms (0.1%)

series50.0ms (0.7%)

rewrite41.0ms (0.5%)

simplify26.0ms (0.3%)

prune282.0ms (3.7%)

regimes734.0ms (9.7%)

simplify5.0ms (0.1%)

end270.0ms (3.6%)

Profiling