Details

analyze1.1s (12.9%)

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)

sample3.6s (43.6%)

Results

1.3s	1052×	body	2048	valid
968.0ms	1893×	body	1024	valid
542.0ms	4134×	body	128	valid
383.0ms	814×	body	512	valid
221.0ms	62×	body	4096	valid
76.0ms	301×	body	256	valid
27.0ms	205×	body	128	invalid
5.0ms	7×	body	2048	invalid
4.0ms	5×	body	8192	exit

Compiler

Compiled 50 to 32 computations (36% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

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

16.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 88 to 48 computations (45.5% saved)

localize9.0ms (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)
✓	3.5b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	29.6b	(tan.f64 (*.f64 (PI.f64) l))

series120.0ms (1.4%)

Counts

4 → 60

Calls

4 calls:

60.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
43.0ms	(-.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)

rewrite83.0ms (1%)

Algorithm

2×	batch-egg-rewrite

Rules

197× egg-rr

Counts

4 → 197

Calls

2 calls:

78.0ms	((tan.f64 (.f64 (PI.f64) l)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) (.f64 (PI.f64) l) (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	45
1	200	45
2	2689	45
3	5070	45
0	0	0
1	0	0

simplify72.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

533×	`associate-/l/_binary64`
401×	`distribute-rgt-neg-in_binary64`
398×	`distribute-lft-neg-in_binary64`
305×	`distribute-neg-frac_binary64`
268×	`fma-neg_binary64`

Counts

257 → 226

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	1516
1	161	1504
2	570	1502
3	2627	1493
4	5461	1493

prune322.0ms (3.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	224	18	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	226	18	244

Error

12.3b

Counts

244 → 18

Alt Table

Status	Error	Program
	41.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 2)
	40.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	36.4b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2)) (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.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)) (*.f64 F F)))))
	43.3b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	16.9b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
▶	12.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	40.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	26.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 l F) (+.f64 (/.f64 (PI.f64) F) (/.f64 (.f64 1/3 (.f64 (pow.f64 (PI.f64) 3) (*.f64 l l))) F))))
	43.7b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	46.1b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	36.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	37.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	24.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	43.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 6395 to 1775 computations (72.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.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)
	29.6b	(tan.f64 (*.f64 (PI.f64) l))

series100.0ms (1.2%)

Counts

2 → 48

Calls

2 calls:

57.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
42.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite60.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

98× egg-rr

Counts

2 → 98

Calls

2 calls:

58.0ms	((/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	207	23
2	2502	23
3	4972	23
0	0	0
1	0	0

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

801×	`fma-def_binary64`
775×	`associate-/r/_binary64`
699×	`associate-/l/_binary64`
535×	`unswap-sqr_binary64`
238×	`times-frac_binary64`

Counts

146 → 116

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	1130
1	138	1122
2	423	1118
3	1894	1118
4	4934	1118
5	5586	1118

prune343.0ms (4.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	174	6	180
Fresh	4	13	17
Picked	1	0	1
Done	0	0	0
Total	179	19	198

Error

12.3b

Counts

198 → 19

Alt Table

Status	Error	Program
	41.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 2)
	40.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	16.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	16.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	16.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
	16.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	12.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (cbrt.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)) 3))
	20.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))
▶	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F)))
	36.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	43.3b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	40.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	43.7b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	46.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)) F) (/.f64 1 F)))
	36.4b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2)) (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	24.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	16.9b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	43.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 4221 to 1849 computations (56.2% 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)))
	0.3b	(*.f64 (PI.f64) l)
✓	0.4b	(/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))
	29.6b	(tan.f64 (*.f64 (PI.f64) l))

series132.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

73.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
59.0ms	(/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F))

rewrite52.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

68× egg-rr

Counts

2 → 68

Calls

2 calls:

51.0ms	((/.f64 1 (.f64 (/.f64 F (tan.f64 (.f64 (PI.f64) l))) F)) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	26
1	207	23
2	2530	23
3	5023	23
0	0	0
1	0	0

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

515×	`distribute-rgt-neg-in_binary64`
497×	`distribute-lft-neg-in_binary64`
430×	`unswap-sqr_binary64`
383×	`associate-r_binary64`
383×	`associate-l_binary64`

Counts

116 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	62	1112
1	165	1106
2	584	1102
3	2839	1098
4	5004	1098

prune169.0ms (2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	9	9	18
Picked	1	0	1
Done	0	0	0
Total	157	12	169

Error

2.7b

Counts

169 → 12

Alt Table

Status	Error	Program
	16.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	16.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	43.3b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	16.9b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (.f64 F (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) F)))
	41.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 2)
	12.7b	(-.f64 (.f64 (PI.f64) l) (+.f64 0 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)))
	36.4b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2)) (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
▶	3.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (-.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)))))) F)))
	43.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))

Compiler

Compiled 3527 to 1518 computations (57% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.5b	(.f64 (-.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)))))) F)
✓	2.8b	(*.f64 (pow.f64 l 5) F)
✓	5.5b	(*.f64 (pow.f64 l 3) F)

series177.0ms (2.1%)

Counts

4 → 48

Calls

4 calls:

149.0ms	(.f64 (-.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)))))) F)
16.0ms	(*.f64 (pow.f64 l 5) F)
11.0ms	(*.f64 (pow.f64 l 3) F)
0.0ms	(pow.f64 (PI.f64) 5)

rewrite67.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

50× egg-rr

Counts

4 → 50

Calls

2 calls:

66.0ms

((*.f64 (pow.f64 l 3) F) (*.f64 (pow.f64 l 5) F) (*.f64 (-.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)))))) F) (pow.f64 (PI.f64) 5))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	77
1	632	71
2	4850	71
3	5714	71
0	0	0
1	0	0

simplify66.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

850×	`distribute-rgt-neg-in_binary64`
657×	`associate-l_binary64`
549×	`unswap-sqr_binary64`
501×	`associate-r_binary64`
260×	`fma-def_binary64`

Counts

98 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	70	1269
1	176	1269
2	677	1225
3	3260	1225
4	5267	1225

prune115.0ms (1.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	70	12	82

Error

0.3b

Counts

82 → 12

Alt Table

Status	Error	Program
	1.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (-.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) (log.f64 (pow.f64 (exp.f64 (pow.f64 l 3)) F))))))) F)))
	41.7b	(pow.f64 (sqrt.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 2)
	16.8b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	16.9b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	43.3b	(exp.f64 (log.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))))
	20.8b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	16.9b	(fma.f64 (.f64 (PI.f64) (pow.f64 (cbrt.f64 l) 2)) (cbrt.f64 l) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	12.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 1 (.f64 (.f64 F (/.f64 1 (tan.f64 (.f64 (PI.f64) l)))) F)))
	12.7b	(-.f64 (.f64 (PI.f64) l) (+.f64 0 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F)))
	36.4b	(.f64 (-.f64 (pow.f64 (.f64 (PI.f64) l) 2) (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)) 2)) (/.f64 1 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F)))))
	43.0b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.6b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))

Compiler

Compiled 3266 to 1893 computations (42% saved)

regimes1.3s (15.9%)

Accuracy

Total 0.4b remaining (58.9%)

Threshold costs 0.4b (58.9%)

Counts

169 → 1

Compiler

Compiled 25803 to 16371 computations (36.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary64`
22×	`+-commutative_binary64`
20×	`sub-neg_binary64`
18×	`neg-sub0_binary64`
18×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	76
1	51	76
2	64	76
3	85	76
4	119	76
5	153	76
6	181	76
7	199	76
8	207	76
9	208	76
10	203	76

end223.0ms (2.7%)

Compiler: Compiled 347 to 227 computations (34.6% saved)

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Iter	Nodes	Cost
0	33	76
1	51	76
2	64	76
3	85	76
4	119	76
5	153	76
6	181	76
7	199	76
8	207	76
9	208	76
10	203	76

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Iter	Nodes	Cost
0	33	76
1	51	76
2	64	76
3	85	76
4	119	76
5	153	76
6	181	76
7	199	76
8	207	76
9	208	76
10	203	76

Details

analyze1.1s (12.9%)

sample3.6s (43.6%)

simplify22.0ms (0.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series120.0ms (1.4%)

rewrite83.0ms (1%)

simplify72.0ms (0.9%)

prune322.0ms (3.9%)

localize8.0ms (0.1%)

series100.0ms (1.2%)

rewrite60.0ms (0.7%)

simplify64.0ms (0.8%)

prune343.0ms (4.1%)

localize8.0ms (0.1%)

series132.0ms (1.6%)

rewrite52.0ms (0.6%)

simplify53.0ms (0.6%)

prune169.0ms (2%)

localize27.0ms (0.3%)

series177.0ms (2.1%)

rewrite67.0ms (0.8%)

simplify66.0ms (0.8%)

prune115.0ms (1.4%)

regimes1.3s (15.9%)

simplify7.0ms (0.1%)

end223.0ms (2.7%)

Profiling

Iter	Nodes	Cost
0	11	23
1	25	20
2	50	20
3	121	20
4	181	20
5	247	20
6	321	20
7	384	20
8	470	20
9	483	20
10	509	20
11	462	20

Iter	Nodes	Cost
0	33	76
1	51	76
2	64	76
3	85	76
4	119	76
5	153	76
6	181	76
7	199	76
8	207	76
9	208	76
10	203	76