Details

sample403.0ms

Algorithm

intervals

Results

86.0ms	27×	body	2560	valid
30.0ms	58×	body	1280	valid
7.0ms	140×	body	80	valid
5.0ms	21×	body	640	valid
2.0ms	15×	body	320	valid
1.0ms	9×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	39	7
2	76	7
3	114	7
4	137	7
5	144	7
6	144	7

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 16.2b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.8b	(/ 1.0 (* F F))
4.6b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.8b	(tan (* PI l))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

123×	`add-sqr-sqrt`
95×	`times-frac`
86×	`add-cube-cbrt` `*-un-lft-identity`
79×	`associate-l`
45×	`associate-/r*`
33×	`associate-r`
28×	`swap-sqr`
23×	`tan-quot`
21×	`frac-times` `associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
17×	`unswap-sqr`
12×	`*-commutative`
9×	`associate-/l*`
8×	`pow1`
6×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-prod-down` `div-inv`
1×	`associate-*r/`

Counts

4 → 219

Calls

4 calls:

3.0ms	(* PI l)
23.0ms	(/ 1.0 (* F F))
19.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
5.0ms	(tan (* PI l))

series267.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
25.0ms	(/ 1.0 (* F F))
137.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
82.0ms	(tan (* PI l))

simplify93.0ms

Algorithm

egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	677	1329
1	3442	1243
2	5002	1229

prune423.0ms

Filtered

231 candidates to 151 candidates (65.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	217	14	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	14	232

Merged error: 11.3b

Counts

232 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
29.7b	(sin (* PI l))
29.8b	(cos (* PI l))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
4×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 50

Calls

4 calls:

3.0ms	(* PI l)
3.0ms	(* PI l)
3.0ms	(sin (* PI l))
4.0ms	(cos (* PI l))

series83.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* PI l)
23.0ms	(* PI l)
23.0ms	(sin (* PI l))
18.0ms	(cos (* PI l))

simplify106.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	154	181
1	579	163
2	2934	163
3	5002	163

prune179.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	3	10	13
Picked	1	0	1
Done	0	0	0
Total	62	14	76

Merged error: 6.9b

Counts

76 → 14

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(* (cbrt PI) (cbrt PI))
29.7b	(sin (* PI l))
30.1b	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`cbrt-prod`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
8×	`add-cbrt-cube`
7×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`cbrt-unprod` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt PI)
5.0ms	(* (cbrt PI) (cbrt PI))
4.0ms	(sin (* PI l))
17.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series45.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(* (cbrt PI) (cbrt PI))
23.0ms	(sin (* PI l))
22.0ms	(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify124.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (116.0ms)

Iter	Nodes	Cost
0	184	371
1	681	327
2	3535	297
3	5001	289

prune230.0ms

Filtered

76 candidates to 48 candidates (63.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	12	13
Picked	1	0	1
Done	0	0	0
Total	76	14	90

Merged error: 6.9b

Counts

90 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
29.7b	(sin (* PI l))
29.8b	(cos (* (* (pow (sqrt (cbrt PI)) 3) (sqrt (cbrt PI))) (* (cbrt PI) l)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
2×	`pow1/3`

Counts

4 → 36

Calls

4 calls:

3.0ms	(cbrt PI)
1.0ms	(cbrt PI)
3.0ms	(sin (* PI l))
26.0ms	(cos (* (* (pow (sqrt (cbrt PI)) 3) (sqrt (cbrt PI))) (* (cbrt PI) l)))

series49.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
23.0ms	(sin (* PI l))
25.0ms	(cos (* (* (pow (sqrt (cbrt PI)) 3) (sqrt (cbrt PI))) (* (cbrt PI) l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	152	273
1	469	241
2	1868	237
3	5001	229

prune171.0ms

Filtered

44 candidates to 36 candidates (81.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	13	13
Picked	1	0	1
Done	0	0	0
Total	44	14	58

Merged error: 6.9b

Counts

58 → 14

regimes432.0ms

Accuracy

90.4% (0.4b remaining)

Error of 8.0b against oracle of 7.5b and baseline of 11.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	45
1	59	45

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.3s	786×	body	2560	valid
899.0ms	1677×	body	1280	valid
231.0ms	938×	body	640	valid
189.0ms	4559×	body	80	valid
61.0ms	403×	body	320	valid
22.0ms	215×	body	160	valid
1.0ms	2×	body	10240	exit