Details

analyze877.0ms (11.8%)

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 15 to 11 computations (26.7% saved)

sample71.0ms (1%)

Algorithm

1×

intervals

Results

25.0ms	27×	body	2048	valid
20.0ms	62×	body	1024	valid
7.0ms	135×	body	128	valid
4.0ms	21×	body	512	valid
4.0ms	1×	body	4096	valid
1.0ms	10×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify119.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	299	20
1	299	20

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 15.6b

Counts

2 → 2

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
4.4b	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
29.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `associate-/r*_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 66

Calls

4 calls:

7.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(tan.f64 (*.f64 PI.f64 l))

series168.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

82.0ms	(/.f64 (tan.f64 (.f64 PI.f64 l)) (.f64 F F))
60.0ms	(tan.f64 (*.f64 PI.f64 l))
14.0ms	(*.f64 PI.f64 l)
13.0ms	(*.f64 PI.f64 l)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5225	914

prune98.0ms (1.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	60	18	78
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	62	18	80

Merged error: 11.1b

Counts

80 → 18

Compiler

Compiled 1602 to 456 computations (71.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
0.4b	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
29.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`times-frac_binary64`
197×	`add-sqr-sqrt_binary64`
193×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
44×	`associate-/r*_binary64`
29×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64` `div-inv_binary64`
15×	`div-exp_binary64`
9×	`pow1_binary64`
6×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64`
5×	`associate-/r/_binary64`
4×	`add-log-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
1×	`clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `pow-flip_binary64` `tan-quot_binary64`

Counts

4 → 248

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series163.0ms (2.2%)

Counts

4 → 12

Calls

4 calls:

104.0ms	(/.f64 1 (/.f64 F (/.f64 (tan.f64 (*.f64 PI.f64 l)) F)))
33.0ms	(tan.f64 (*.f64 PI.f64 l))
13.0ms	(*.f64 PI.f64 l)
13.0ms	(*.f64 PI.f64 l)

simplify174.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

260 → 260

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4906	6379
1	4906	6379

prune271.0ms (3.6%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	250	10	260
Fresh	4	13	17
Picked	0	1	1
Done	0	0	0
Total	254	24	278

Merged error: 11.1b

Counts

278 → 24

Compiler

Compiled 6448 to 1898 computations (70.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
29.1b	(tan.f64 (*.f64 PI.f64 l))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`times-frac_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `tan-quot_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 72

Calls

4 calls:

6.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
4.0ms	(*.f64 PI.f64 l)
3.0ms	(*.f64 PI.f64 l)
2.0ms	(tan.f64 (*.f64 PI.f64 l))

series125.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(/.f64 (tan.f64 (*.f64 PI.f64 l)) F)
35.0ms	(tan.f64 (*.f64 PI.f64 l))
13.0ms	(*.f64 PI.f64 l)
13.0ms	(*.f64 PI.f64 l)

simplify104.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5145	1019

prune98.0ms (1.3%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	4	18	22
Picked	1	0	1
Done	0	1	1
Total	85	23	108

Merged error: 11.1b

Counts

108 → 23

Compiler

Compiled 2022 to 826 computations (59.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 PI.f64 l)
0.3b	(*.f64 PI.f64 l)
29.1b	(cos.f64 (*.f64 PI.f64 l))
29.1b	(sin.f64 (*.f64 PI.f64 l))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 50

Calls

4 calls:

4.0ms	(*.f64 PI.f64 l)
4.0ms	(*.f64 PI.f64 l)
2.0ms	(sin.f64 (*.f64 PI.f64 l))
2.0ms	(cos.f64 (*.f64 PI.f64 l))

series54.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

16.0ms	(*.f64 PI.f64 l)
16.0ms	(*.f64 PI.f64 l)
12.0ms	(cos.f64 (*.f64 PI.f64 l))
10.0ms	(sin.f64 (*.f64 PI.f64 l))

simplify51.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5058	546

prune70.0ms (0.9%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	7	14	21
Picked	1	0	1
Done	0	1	1
Total	66	19	85

Merged error: 6.7b

Counts

85 → 19

Compiler

Compiled 1406 to 496 computations (64.7% saved)

regimes1.3s (17.5%)

Compiler: Compiled 12941 to 7917 computations (38.8% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	268	153
1	268	153

end0.0ms (0%)

sample3.4s (46.3%)

Algorithm

1×

intervals

Results

852.0ms	1001×	body	2048	valid
447.0ms	1799×	body	1024	valid
211.0ms	4161×	body	128	valid
162.0ms	50×	body	4096	valid
115.0ms	692×	body	512	valid
35.0ms	297×	body	256	valid
10.0ms	172×	body	128	invalid
3.0ms	7×	body	2048	invalid
2.0ms	4×	body	8192	exit

Compiler

Compiled 1929 to 1177 computations (39% saved)

Details

analyze877.0ms (11.8%)

sample71.0ms (1%)

simplify119.0ms (1.6%)

prune6.0ms (0.1%)

localize10.0ms (0.1%)

rewrite23.0ms (0.3%)

series168.0ms (2.3%)

simplify80.0ms (1.1%)

prune98.0ms (1.3%)

localize9.0ms (0.1%)

rewrite55.0ms (0.7%)

series163.0ms (2.2%)

simplify174.0ms (2.3%)

prune271.0ms (3.6%)

localize9.0ms (0.1%)

rewrite20.0ms (0.3%)

series125.0ms (1.7%)

simplify104.0ms (1.4%)

prune98.0ms (1.3%)

localize12.0ms (0.2%)

rewrite15.0ms (0.2%)

series54.0ms (0.7%)

simplify51.0ms (0.7%)

prune70.0ms (0.9%)

regimes1.3s (17.5%)

bsearch4.0ms (0.1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.4s (46.3%)

Profiling