Details

sample77.0ms

Algorithm

intervals

Results

27.0ms	91×	body	1280	valid
17.0ms	95×	body	640	valid
13.0ms	303×	body	80	valid
4.0ms	36×	body	320	valid
2.0ms	25×	body	160	valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	102	4
4	153	4
5	334	4
6	924	4
7	1912	4
8	5001	4

prune2.0ms

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: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(cosh x)
0.1b	(/ (sin y) y)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `cosh-def` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

2 → 39

Calls

2 calls:

1.0ms	(cosh x)
8.0ms	(/ (sin y) y)

series69.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(cosh x)
26.0ms	(/ (sin y) y)

simplify66.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	170	191
1	492	177
2	1927	169
3	5001	169

prune118.0ms

Filtered

45 candidates to 36 candidates (80.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0b

Counts

46 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.1b	(/ y (sin y))
0.1b	(/ 1 (/ y (sin y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
56×	`*-un-lft-identity`
55×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
16×	`add-exp-log`
10×	`add-cbrt-cube` `associate-/l*`
9×	`associate-/r/`
8×	`div-exp`
6×	`div-inv`
4×	`pow1` `cbrt-undiv` `clear-num`
3×	`expm1-log1p-u` `frac-2neg` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `remove-double-div`
1×	`cosh-def` `pow-flip` `inv-pow`

Counts

3 → 127

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(/ y (sin y))
8.0ms	(/ 1 (/ y (sin y)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(cosh x)
22.0ms	(/ y (sin y))
27.0ms	(/ 1 (/ y (sin y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	413	793
1	1727	701
2	5001	622

prune240.0ms

Filtered

136 candidates to 77 candidates (56.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	133	3	136
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	137	6	143

Merged error: 0b

Counts

143 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(cosh x)
0.1b	(/ 1 (sin y))
0.2b	(/ (/ 1 y) (/ 1 (sin y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
211×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`add-exp-log`
34×	`div-exp`
30×	`div-inv`
22×	`associate-/r` `associate-/l`
17×	`add-cbrt-cube`
9×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/r/` `associate-/l/`
4×	`pow1` `frac-2neg` `clear-num`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cosh-def` `pow-flip` `inv-pow`

Counts

3 → 288

Calls

3 calls:

1.0ms	(cosh x)
4.0ms	(/ 1 (sin y))
13.0ms	(/ (/ 1 y) (/ 1 (sin y)))

series89.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(cosh x)
13.0ms	(/ 1 (sin y))
31.0ms	(/ (/ 1 y) (/ 1 (sin y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

297 → 297

Iterations

Useful iterations: 1 (33.0ms)

Iter	Nodes	Cost
0	1274	2790
1	5001	2279

prune444.0ms

Filtered

297 candidates to 140 candidates (47.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	297	0	297
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	297	6	303

Merged error: 0b

Counts

303 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))
0.3b	(cbrt (/ y (sin y)))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

6441×	`times-frac`
4603×	`cbrt-prod`
4291×	`add-sqr-sqrt`
3693×	`*-un-lft-identity`
3560×	`add-cube-cbrt`
2516×	`associate-/r*`
2244×	`frac-times`
1914×	`associate-/l*`
989×	`associate-l`
506×	`associate-/l/`
396×	`cbrt-div`
382×	`div-inv`
369×	`associate-/r/`
194×	`clear-num`
193×	`frac-2neg`
161×	`unswap-sqr`
102×	`associate-*l/`
69×	`add-exp-log`
68×	`add-cbrt-cube`
61×	`associate-r`
44×	`cbrt-undiv`
34×	`div-exp`
22×	`associate-*r/`
21×	`cbrt-unprod`
20×	`prod-exp`
14×	`pow1`
9×	`rec-exp` `1-exp`
6×	`pow-flip` `pow1/3`
5×	`pow-prod-up` `pow-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `inv-pow` `add-log-exp`
3×	`un-div-inv`
1×	`pow3` `pow-prod-down` `*-commutative`

Counts

4 → 3736

Calls

4 calls:

983.0ms	(* (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))
4.0ms	(cbrt (/ y (sin y)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (/ 1 (cbrt (/ y (sin y)))) (cbrt (/ y (sin y)))) (/ 1 (cbrt (/ y (sin y)))))
141.0ms	(cbrt (/ y (sin y)))
133.0ms	(cbrt (/ y (sin y)))
141.0ms	(cbrt (/ y (sin y)))

simplify706.0ms

Algorithm

egg-herbie

Counts

3748 → 3748

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5001	79415

prune14.7s

Filtered

3748 candidates to 2991 candidates (79.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	3748	0	3748
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	3748	6	3754

Merged error: 0b

Counts

3754 → 6

regimes119.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	7	4

end0.0ms

sample2.2s

Algorithm

intervals

Results

855.0ms	2819×	body	1280	valid
455.0ms	2416×	body	640	valid
367.0ms	8600×	body	80	valid
156.0ms	1203×	body	320	valid
56.0ms	608×	body	160	valid