Details

analyze1.1s (10.9%)

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 (35.8%)

Results

1.2s	1015×	body	2048	valid
1.0s	1870×	body	1024	valid
561.0ms	4258×	body	128	valid
264.0ms	752×	body	512	valid
208.0ms	58×	body	4096	valid
75.0ms	303×	body	256	valid
27.0ms	195×	body	128	invalid
5.0ms	7×	body	2048	invalid
3.0ms	4×	body	8192	exit

Compiler

Compiled 50 to 32 computations (36% saved)

simplify24.0ms (0.2%)

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

15.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	16.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 1 (.f64 F F)) (tan.f64 (.f64 (PI.f64) l))))
▶	15.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

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)
✓	4.1b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	31.4b	(tan.f64 (*.f64 (PI.f64) l))

series101.0ms (1%)

Counts

4 → 60

Calls

4 calls:

50.0ms	(/.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)))
12.0ms	(tan.f64 (*.f64 (PI.f64) l))
2.0ms	(*.f64 (PI.f64) l)

rewrite78.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

4 → 201

Calls

4 calls:

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

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

simplify65.0ms (0.7%)

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

261 → 229

Iterations

Useful iterations: 3 (0.0ms)

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

prune304.0ms (3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	227	18	245
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	229	18	247

Error

11.6b

Counts

247 → 18

Alt Table

Status	Error	Program
	30.6b	(-.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))))
	44.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (pow.f64 (.f64 (PI.f64) l) 3) 1/3)) (*.f64 F F)))
	52.3b	(sqrt.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 2))
	32.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	16.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) (pow.f64 (cbrt.f64 (tan.f64 (.f64 (PI.f64) l))) 2)) (*.f64 F F)))
	35.9b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	37.1b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	20.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	46.4b	(-.f64 (cbrt.f64 (pow.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 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	16.7b	(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))))
	56.1b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	47.6b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	23.3b	(-.f64 (.f64 (PI.f64) l) (-.f64 (exp.f64 (log1p.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))) 1))
	15.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))) (.f64 F F)))
	27.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))

Compiler

Compiled 6455 to 1787 computations (72.3% saved)

localize11.0ms (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 (PI.f64) l)
✓	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	31.4b	(tan.f64 (*.f64 (PI.f64) l))

series94.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

56.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
38.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite54.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
259×	`pow2_binary64`
186×	`pow1/3_binary64`
179×	`expm1-udef_binary64`
179×	`log1p-udef_binary64`

Counts

2 → 99

Calls

2 calls:

52.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
52.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

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

simplify63.0ms (0.6%)

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

147 → 117

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

prune407.0ms (4.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	175	7	182
Fresh	5	12	17
Picked	1	0	1
Done	0	0	0
Total	181	19	200

Error

11.6b

Counts

200 → 19

Alt Table

Status	Error	Program
	43.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)) F) (/.f64 1 F)))
	30.6b	(-.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))))
	52.3b	(sqrt.f64 (pow.f64 (-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))) 2))
	32.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 (PI.f64) l))) 1)) (*.f64 F F)))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
▶	11.8b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	37.1b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	20.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	16.7b	(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))))
	56.1b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	47.6b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	12.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3) (/.f64 1 F)))
	35.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) F) (/.f64 1 F)))
	15.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))) (.f64 F F)))
	27.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	18.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 2)) (/.f64 1 F)))

Compiler

Compiled 4277 to 1877 computations (56.1% 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)
	0.2b	(*.f64 (PI.f64) l)
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
	31.4b	(tan.f64 (*.f64 (PI.f64) l))

series51.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

50.0ms

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

rewrite46.0ms (0.5%)

Algorithm

2×	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`

Counts

1 → 40

Calls

1 calls:

45.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	170	13
2	2278	13
3	5522	13
0	0	0
1	0	0

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

540×	`associate-/r/_binary64`
504×	`unswap-sqr_binary64`
440×	`associate-/l/_binary64`
439×	`fma-def_binary64`
424×	`associate-*l/_binary64`

Counts

64 → 50

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	610
1	98	604
2	328	604
3	1534	604
4	4183	604
5	4922	604
6	4982	604
7	4988	604
8	4953	604

prune373.0ms (3.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	166	2	168
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	170	17	187

Error

11.6b

Counts

187 → 17

Alt Table

Status	Error	Program
	43.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)) F) (/.f64 1 F)))
	30.6b	(-.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))))
	37.1b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	20.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	27.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	22.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
	16.7b	(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))))
	56.1b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	47.6b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
▶	12.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3) (/.f64 1 F)))
	35.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) F) (/.f64 1 F)))
	18.2b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 2)) F))
	15.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))) (.f64 F F)))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))

Compiler

Compiled 3826 to 1517 computations (60.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
✓	8.3b	(cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
	31.4b	(tan.f64 (*.f64 (PI.f64) l))

series1.4s (13.8%)

Counts

2 → 48

Calls

2 calls:

787.0ms	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
598.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))

rewrite58.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

879×	`log1p-expm1-u_binary64`
879×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
89×	`add-cbrt-cube_binary64`
89×	`add-log-exp_binary64`

Counts

2 → 81

Calls

2 calls:

56.0ms	(pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 3)
56.0ms	(cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
1	194	22
2	2295	22
3	5363	22
0	0	0
1	0	0

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

785×	`associate-l_binary64`
685×	`associate-r_binary64`
423×	`distribute-rgt-out_binary64`
389×	`fma-def_binary64`
237×	`*-commutative_binary64`

Counts

129 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1498
1	244	1494
2	733	1342
3	3468	1150
4	4985	1150

prune384.0ms (3.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	193	18	211

Error

11.6b

Counts

211 → 18

Alt Table

Status	Error	Program
	43.9b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (pow.f64 (pow.f64 (*.f64 (PI.f64) l) 3) 1/3)) F) (/.f64 1 F)))
	30.6b	(-.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))))
	37.1b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	20.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	12.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2) 1/3)) 3) (/.f64 1 F)))
	27.2b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)) 3) 1/3))
	22.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) F) F))
	16.7b	(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))))
	56.1b	(neg.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (cbrt.f64 (.f64 (PI.f64) l)) (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 2) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))))
	16.7b	(fma.f64 (pow.f64 (cbrt.f64 l) 2) (.f64 (cbrt.f64 l) (PI.f64)) (neg.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F))))
	47.6b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	35.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (exp.f64 (log.f64 (*.f64 (PI.f64) l)))) F) (/.f64 1 F)))
	17.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) 2)) 3) (/.f64 1 F)))
	15.9b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (/.f64 (cos.f64 (.f64 (PI.f64) l)) (sin.f64 (.f64 (PI.f64) l)))) (.f64 F F)))
	42.3b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	18.0b	(-.f64 (.f64 (PI.f64) l) (expm1.f64 (log1p.f64 (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))))
	50.1b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (exp.f64 (.f64 1/3 (-.f64 (log.f64 (/.f64 (sin.f64 (.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))) (log.f64 F)))) 3) (/.f64 1 F)))

Compiler

Compiled 5171 to 2433 computations (52.9% saved)

regimes1.4s (14%)

Accuracy

Total 0.3b remaining (2.2%)

Threshold costs 0.3b (2.2%)

Counts

198 → 1

Compiler

Compiled 23400 to 14975 computations (36% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	16	23
2	22	23
3	28	23
4	31	23
5	32	23
6	30	23

end251.0ms (2.5%)

Compiler: Compiled 397 to 254 computations (36% 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	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

Details

analyze1.1s (10.9%)

sample3.6s (35.8%)

simplify24.0ms (0.2%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series101.0ms (1%)

rewrite78.0ms (0.8%)

simplify65.0ms (0.7%)

prune304.0ms (3%)

localize11.0ms (0.1%)

series94.0ms (0.9%)

rewrite54.0ms (0.5%)

simplify63.0ms (0.6%)

prune407.0ms (4.1%)

localize7.0ms (0.1%)

series51.0ms (0.5%)

rewrite46.0ms (0.5%)

simplify81.0ms (0.8%)

prune373.0ms (3.7%)

localize11.0ms (0.1%)

series1.4s (13.8%)

rewrite58.0ms (0.6%)

simplify78.0ms (0.8%)

prune384.0ms (3.8%)

regimes1.4s (14%)

simplify2.0ms (0%)

end251.0ms (2.5%)

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