Details

analyze1.2s (14%)

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 (39.4%)

Results

1.2s	1077×	body	2048	valid
892.0ms	1804×	body	1024	valid
535.0ms	4275×	body	128	valid
247.0ms	68×	body	4096	valid
244.0ms	737×	body	512	valid
67.0ms	295×	body	256	valid
25.0ms	182×	body	128	invalid
8.0ms	12×	body	2048	invalid
5.0ms	7×	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

prune7.0ms (0.1%)

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

17.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	17.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.7b	(-.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)

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)))
✓	0.2b	(*.f64 (PI.f64) l)
✓	5.7b	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
✓	28.2b	(tan.f64 (*.f64 (PI.f64) l))

series95.0ms (1.1%)

Counts

4 → 60

Calls

4 calls:

48.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
34.0ms	(-.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)

rewrite92.0ms (1.1%)

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:

87.0ms	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
87.0ms	(*.f64 (PI.f64) l)
87.0ms	(/.f64 (tan.f64 (.f64 (PI.f64) l)) (.f64 F F))
87.0ms	(tan.f64 (*.f64 (PI.f64) l))

simplify49.0ms (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

prune341.0ms (4.1%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	220	22	242
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	222	22	244

Error

11.4b

Counts

244 → 22

Alt Table

Status	Error	Program
	17.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	54.3b	(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	54.7b	(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)
	22.1b	(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (pow.f64 F 2))))
	17.4b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) -1))
	22.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	45.7b	(/.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))))
	23.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	40.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	38.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) 1/3) (*.f64 F F)))
	45.2b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	40.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	30.7b	(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	28.8b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (pow.f64 (.f64 (tan.f64 (*.f64 (PI.f64) l)) (pow.f64 F -2)) 3) 1/3))
	37.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	18.4b	(.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))
	18.4b	(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))))
	18.5b	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	27.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	41.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 6574 to 2907 computations (55.8% saved)

localize9.0ms (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)
	28.2b	(tan.f64 (*.f64 (PI.f64) l))

series84.0ms (1%)

Counts

2 → 48

Calls

2 calls:

47.0ms	(.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) (/.f64 1 F))
36.0ms	(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)

rewrite52.0ms (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:

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

simplify36.0ms (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

prune368.0ms (4.4%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	173	8	181
Fresh	4	17	21
Picked	1	0	1
Done	0	0	0
Total	178	25	203

Error

11.3b

Counts

203 → 25

Alt Table

Status	Error	Program
	15.4b	(-.f64 (.f64 (PI.f64) l) (.f64 (cbrt.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) 3)) (/.f64 1 F)))
	45.2b	(-.f64 (sqrt.f64 (pow.f64 (.f64 (PI.f64) l) 2)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
▶	11.7b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	40.0b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	17.5b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3)) (*.f64 F F)))
	54.3b	(/.f64 (neg.f64 (sin.f64 (.f64 (PI.f64) l))) (.f64 (cos.f64 (.f64 (PI.f64) l)) (.f64 F F)))
	37.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	12.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	23.3b	(-.f64 (.f64 (PI.f64) l) (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 2)) (*.f64 F F)))
	23.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (/.f64 (sqrt.f64 (pow.f64 (tan.f64 (*.f64 (PI.f64) l)) 2)) F) (/.f64 1 F)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	18.4b	(.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))
	40.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	38.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (pow.f64 (pow.f64 (tan.f64 (.f64 (PI.f64) l)) 3) 1/3) (*.f64 F F)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
	27.4b	(-.f64 (.f64 (PI.f64) l) (/.f64 (tan.f64 (expm1.f64 (log1p.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	16.6b	(-.f64 (.f64 (PI.f64) l) (.f64 (expm1.f64 (log1p.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))) (/.f64 1 F)))
	41.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))
	30.7b	(expm1.f64 (log1p.f64 (fma.f64 (tan.f64 (.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2)) (.f64 (PI.f64) l))))
	17.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (log1p.f64 (expm1.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	54.7b	(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)
	22.6b	(-.f64 (.f64 (PI.f64) l) (/.f64 (expm1.f64 (log1p.f64 (tan.f64 (.f64 (PI.f64) l)))) (*.f64 F F)))
	29.5b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) 3) (pow.f64 F 3)) 1/3))
	18.4b	(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))))
	18.5b	(fma.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2) (.f64 (cbrt.f64 (PI.f64)) l) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))

Compiler

Compiled 4468 to 2073 computations (53.6% saved)

localize9.0ms (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)
✓	0.4b	(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
	28.2b	(tan.f64 (*.f64 (PI.f64) l))

series162.0ms (1.9%)

Counts

2 → 48

Calls

2 calls:

100.0ms	(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)
62.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`log1p-expm1-u_binary64`
852×	`expm1-log1p-u_binary64`
95×	`add-sqr-sqrt_binary64`
87×	`add-cbrt-cube_binary64`
87×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	187	20
2	2357	20

Stop Event

1×	node limit

Counts

2 → 78

Calls

2 calls:

44.0ms	(/.f64 F (tan.f64 (*.f64 (PI.f64) l)))
44.0ms	(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1)

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

480×	`distribute-rgt-neg-in_binary64`
461×	`distribute-lft-neg-in_binary64`
389×	`associate-/l*_binary64`
354×	`associate-l_binary64`
350×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	1022
1	175	1020
2	546	1012
3	2666	1007

Stop Event

1×	node limit

Counts

126 → 95

prune235.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	15	9	24
Picked	1	0	1
Done	0	0	0
Total	172	12	184

Error

2.6b

Counts

184 → 12

Alt Table

Status	Error	Program
	37.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	54.7b	(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)
	37.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	12.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	18.4b	(.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))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -2))) (/.f64 1 F)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F) F))
▶	3.0b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.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)))))) -1) (/.f64 1 F)))
	40.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	18.4b	(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))))
	41.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 4029 to 1952 computations (51.6% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(pow.f64 (PI.f64) 5)
✓	1.9b	(.f64 (pow.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)))))) -1) (/.f64 1 F))
✓	2.0b	(*.f64 (pow.f64 l 5) F)
✓	5.1b	(*.f64 (pow.f64 l 3) F)

series284.0ms (3.4%)

Counts

4 → 48

Calls

4 calls:

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

rewrite40.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

327×	`log1p-expm1-u_binary64`
327×	`expm1-log1p-u_binary64`
325×	`add-cbrt-cube_binary64`
315×	`add-log-exp_binary64`
314×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	80
1	713	74

Stop Event

1×	node limit

Counts

4 → 54

Calls

4 calls:

39.0ms	(pow.f64 (PI.f64) 5)
39.0ms	(.f64 (pow.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)))))) -1) (/.f64 1 F))
39.0ms	(*.f64 (pow.f64 l 5) F)
39.0ms	(*.f64 (pow.f64 l 3) F)

simplify36.0ms (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

102 → 76

prune139.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	76	12	88

Error

0.2b

Counts

88 → 12

Alt Table

Status	Error	Program
	37.2b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (PI.f64) l)) 2) (.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -1) (/.f64 1 F)))
	54.7b	(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)
	37.6b	(-.f64 (.f64 (PI.f64) l) (pow.f64 (/.f64 (sqrt.f64 (tan.f64 (.f64 (PI.f64) l))) F) 2))
	12.3b	(-.f64 (pow.f64 (cbrt.f64 (.f64 (PI.f64) l)) 3) (.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 1 F)))
	11.7b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 F) (/.f64 F (tan.f64 (.f64 (PI.f64) l)))))
	18.4b	(.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))
	3.0b	(-.f64 (.f64 (PI.f64) l) (/.f64 (/.f64 1 (-.f64 (/.f64 F (.f64 l (PI.f64))) (fma.f64 1/3 (.f64 (PI.f64) (.f64 l F)) (fma.f64 2/945 (.f64 (pow.f64 (.f64 l (PI.f64)) 5) F) (.f64 1/45 (.f64 (pow.f64 (*.f64 l (PI.f64)) 3) F)))))) F))
	0.5b	(-.f64 (.f64 (PI.f64) l) (.f64 (pow.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) (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)))))) -1) (/.f64 1 F)))
	40.2b	(fma.f64 (sqrt.f64 l) (.f64 (sqrt.f64 l) (PI.f64)) (.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (pow.f64 F -2))))
	18.4b	(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))))
	13.2b	(-.f64 (.f64 (PI.f64) l) (.f64 (.f64 (cbrt.f64 (/.f64 (tan.f64 (.f64 (PI.f64) l)) F)) (cbrt.f64 (pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) -2))) (/.f64 1 F)))
	41.8b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (PI.f64) l) 3)) (/.f64 (tan.f64 (.f64 (PI.f64) l)) (*.f64 F F)))

Compiler

Compiled 3695 to 2174 computations (41.2% saved)

regimes1.5s (17.7%)

Accuracy

Total 0.5b remaining (57.8%)

Threshold costs 0.5b (57.8%)

Counts

194 → 1

Compiler

Compiled 30939 to 20495 computations (33.8% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`*-commutative_binary64`
24×	`+-commutative_binary64`
22×	`sub-neg_binary64`
20×	`neg-sub0_binary64`
20×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	79
1	56	79
2	73	79
3	100	79
4	137	79
5	172	79
6	200	79
7	218	79
8	226	79
9	227	79

Stop Event

1×

saturated

end230.0ms (2.7%)

Compiler: Compiled 396 to 265 computations (33.1% saved)

Details

analyze1.2s (14%)

sample3.3s (39.4%)

simplify17.0ms (0.2%)

prune7.0ms (0.1%)

localize7.0ms (0.1%)

series95.0ms (1.1%)

rewrite92.0ms (1.1%)

simplify49.0ms (0.6%)

prune341.0ms (4.1%)

localize9.0ms (0.1%)

series84.0ms (1%)

rewrite52.0ms (0.6%)

simplify36.0ms (0.4%)

prune368.0ms (4.4%)

localize9.0ms (0.1%)

series162.0ms (1.9%)

rewrite46.0ms (0.5%)

simplify36.0ms (0.4%)

prune235.0ms (2.8%)

localize45.0ms (0.5%)

series284.0ms (3.4%)

rewrite40.0ms (0.5%)

simplify36.0ms (0.4%)

prune139.0ms (1.7%)

regimes1.5s (17.7%)

simplify6.0ms (0.1%)

end230.0ms (2.7%)

Profiling