Details

sample39.0ms

Algorithm

intervals

Results

11.0ms	35×	body	640	valid
8.0ms	27×	body	1280	valid
8.0ms	185×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	8×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	24	4
2	48	4
3	71	4
4	79	4
5	79	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 1.8b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(* x (/ (sin y) y))
0.1b	(/ (sin y) y)
1.7b	(/ (* x (/ (sin y) y)) z)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

128×	`times-frac`
108×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
83×	`add-cube-cbrt`
65×	`associate-r`
34×	`associate-/l*`
19×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
15×	`associate-l`
12×	`associate-/r*`
11×	`associate-/l/`
10×	`unswap-sqr`
7×	`div-inv`
6×	`cbrt-undiv` `div-exp` `clear-num`
5×	`pow1` `*-commutative`
4×	`frac-2neg` `prod-exp` `un-div-inv` `cbrt-unprod`
3×	`add-log-exp`
1×	`pow-prod-down`

Counts

3 → 191

Calls

3 calls:

8.0ms	(* x (/ (sin y) y))
4.0ms	(/ (sin y) y)
14.0ms	(/ (* x (/ (sin y) y)) z)

series171.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* x (/ (sin y) y))
27.0ms	(/ (sin y) y)
81.0ms	(/ (* x (/ (sin y) y)) z)

simplify114.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (22.0ms)

Iter	Nodes	Cost
0	711	1359
1	3401	1289
2	5001	1289

prune336.0ms

Filtered

200 candidates to 155 candidates (22.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	194	6	200
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	194	7	201

Merged error: 0b

Counts

201 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (* x (/ (sin y) y)) z)
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))
13.8b	(cbrt (/ (* x (/ (sin y) y)) z))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

436×	`times-frac`
335×	`add-sqr-sqrt`
259×	`*-un-lft-identity`
255×	`add-cube-cbrt`
219×	`cbrt-prod`
208×	`associate-r`
120×	`cbrt-div`
108×	`associate-/l*`
48×	`associate-l`
44×	`associate-/l/`
36×	`associate-*r/`
32×	`unswap-sqr`
24×	`associate-/r*`
20×	`div-inv`
16×	`*-commutative`
13×	`add-exp-log` `add-cbrt-cube`
12×	`clear-num`
8×	`frac-2neg` `un-div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
3×	`pow1/3`
2×	`prod-exp` `cbrt-unprod`

Counts

4 → 485

Calls

4 calls:

14.0ms	(/ (* x (/ (sin y) y)) z)
16.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
20.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
16.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

series549.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(/ (* x (/ (sin y) y)) z)
159.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
157.0ms	(cbrt (/ (* x (/ (sin y) y)) z))
161.0ms	(cbrt (/ (* x (/ (sin y) y)) z))

simplify164.0ms

Algorithm

egg-herbie

Counts

497 → 497

Iterations

Useful iterations: 2 (106.0ms)

Iter	Nodes	Cost
0	942	5170
1	3729	5095
2	5001	5065

prune1.6s

Filtered

497 candidates to 403 candidates (18.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	497	0	497
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	497	7	504

Merged error: 0b

Counts

504 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.7b	(/ (/ (sin y) y) (/ z x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

430×	`times-frac`
210×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
30×	`div-inv`
22×	`associate-/r` `associate-/l`
16×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
4×	`frac-2neg` `clear-num`
2×	`pow1` `add-log-exp`

Counts

2 → 258

Calls

2 calls:

4.0ms	(/ (sin y) y)
13.0ms	(/ (/ (sin y) y) (/ z x))

series114.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(/ (sin y) y)
86.0ms	(/ (/ (sin y) y) (/ z x))

simplify72.0ms

Algorithm

egg-herbie

Counts

264 → 264

Iterations

Useful iterations: 1 (41.0ms)

Iter	Nodes	Cost
0	1355	2769
1	5002	2679

prune504.0ms

Filtered

264 candidates to 215 candidates (18.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	262	2	264
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	265	6	271

Merged error: 0b

Counts

271 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (sin y) y)
2.2b	(* (/ (sin y) y) (/ x z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-times`
76×	`add-sqr-sqrt`
65×	`*-un-lft-identity`
64×	`add-cube-cbrt` `associate-/l*`
63×	`associate-/r*`
31×	`times-frac`
22×	`clear-num`
21×	`frac-2neg`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r` `associate-l`
9×	`associate-r/` `associate-l/`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`div-inv`
2×	`un-div-inv` `add-log-exp`
1×	`pow-prod-down` `*-commutative`

Counts

2 → 175

Calls

2 calls:

4.0ms	(/ (sin y) y)
18.0ms	(* (/ (sin y) y) (/ x z))

series107.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (sin y) y)
72.0ms	(* (/ (sin y) y) (/ x z))

simplify154.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	808	1148
1	4011	1089
2	5001	1089

prune251.0ms

Filtered

181 candidates to 121 candidates (33.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	180	1	181
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	181	6	187

Merged error: 0b

Counts

187 → 6

regimes216.0ms

Accuracy

94.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample1.1s

Algorithm

intervals

Results

300.0ms	1021×	body	1280	valid
265.0ms	5740×	body	80	valid
198.0ms	1056×	body	640	valid
78.0ms	558×	body	320	valid
29.0ms	312×	body	160	valid