Details

analyze746.0ms

Algorithm

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
32.8%	67.1%	0.1%	8
38.2%	61.7%	0.1%	9
41%	58.9%	0.1%	10
43.9%	56%	0.1%	11
45.4%	54.5%	0.1%	12
46.9%	53%	0.1%	13
47.6%	52.3%	0.1%	14

sample81.0ms

Algorithm

intervals

Results

25.0ms	50×	body	1280	valid
20.0ms	22×	body	2560	valid
11.0ms	36×	body	640	valid
8.0ms	114×	body	80	valid
6.0ms	25×	body	320	valid
2.0ms	9×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

prune7.0ms

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: 37.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

5.3b	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
32.0b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `associate-/l_binary64`
2×	`tan-quot_binary64`
1×	`associate-/l/_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 43

Calls

3 calls:

5.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/.f64 (tan.f64 (/.f64 x (.f64 y 2.0))) (sin.f64 (/.f64 x (.f64 y 2.0))))
4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5037	733

prune118.0ms

Filtered

44 candidates to 52 candidates (-18.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	40	12	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	12	53

Merged error: 29.6b

Counts

53 → 12

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify5.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune29.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	11	11
Picked	1	1
Done	0	0
Total	12	12

Merged error: 29.6b

Counts

12 → 12

localize20.0ms

Local error

Found 4 expressions with local error:

32.0b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`tan-quot_binary64`

Counts

4 → 31

Calls

4 calls:

2.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series51.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
15.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune126.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	2	8	10
Picked	1	0	1
Done	0	1	1
Total	41	14	55

Merged error: 29.5b

Counts

55 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

32.0b	(sin.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))
32.3b	(tan.f64 (/.f64 x (*.f64 y 2.0)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
3×	`tan-quot_binary64`

Counts

4 → 31

Calls

4 calls:

3.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
2.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

series53.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sin.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
17.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))
16.0ms	(tan.f64 (/.f64 x (*.f64 y 2.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4954	360
1	4954	360

prune77.0ms

Filtered

39 candidates to 43 candidates (-10.3%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	41	16	57

Merged error: 29.5b

Counts

57 → 16

regimes408.0ms

Accuracy

0% (2.4b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms

sample2.4s

Algorithm

intervals

Results

711.0ms	1386×	body	1280	valid
698.0ms	689×	body	2560	valid
318.0ms	1006×	body	640	valid
294.0ms	4069×	body	80	valid
136.0ms	578×	body	320	valid
49.0ms	272×	body	160	valid

Details

analyze746.0ms

sample81.0ms

simplify6.0ms

prune7.0ms

localize10.0ms

rewrite11.0ms

series40.0ms

simplify40.0ms

prune118.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify5.0ms

prune29.0ms

localize20.0ms

rewrite10.0ms

series51.0ms

simplify70.0ms

prune126.0ms

localize14.0ms

rewrite10.0ms

series53.0ms

simplify70.0ms

prune77.0ms

regimes408.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling