Details

sample0.0hr

Algorithm

intervals

Results

0.0hr	120×	body	1280	valid
0.0hr	73×	body	640	valid
0.0hr	262×	body	80	nan
0.0hr	37×	body	320	valid
0.0hr	18×	body	160	valid
0.0hr	8×	body	80	valid

simplify0.0hr

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	15	4
1	20	4
2	23	4
3	23	4

prune0.0hr

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: 58.1b

Counts

2 → 1

localize0.0hr

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
4.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

0.0hr	(/ (- 1.0 eps) (+ 1.0 eps))
0.0hr	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(/ (- 1.0 eps) (+ 1.0 eps))
0.0hr	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify0.0hr

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	339	657
1	1040	623
2	4497	605
3	5001	605

prune0.0hr

Filtered

89 candidates to 59 candidates (33.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	83	6	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	6	90

Merged error: 0.3b

Counts

90 → 6

localize0.0hr

Local error

Found 1 expressions with local error:

0.0b	(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`*-un-lft-identity` `add-log-exp`
4×	`difference-of-squares`
2×	`diff-log` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `unpow-prod-down` `flip3--` `sum-log` `add-cbrt-cube` `flip--` `distribute-lft-out` `associate--r+` `unpow2` `sqr-pow`

Counts

1 → 20

Calls

1 calls:

0.0hr

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

series0.0hr

Counts

1 → 3

Calls

1 calls:

0.0hr

(- (pow eps 2) (+ (/ (pow eps 2) (pow 1.0 2)) eps))

simplify0.0hr

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	123	209
1	382	192
2	1701	192
3	5001	192

prune0.0hr

Filtered

23 candidates to 14 candidates (39.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	23	6	29

Merged error: 0.3b

Counts

29 → 6

localize0.0hr

Local error

Found 3 expressions with local error:

0.0b	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
4.8b	(log (- 1.0 eps))
4.8b	(log (+ 1.0 eps))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity`
18×	`log-prod`
13×	`add-sqr-sqrt`
9×	`pow1`
8×	`log-div`
7×	`add-cube-cbrt`
6×	`log-pow` `distribute-lft-out--`
5×	`add-exp-log` `associate--l+`
4×	`associate--r+`
3×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp` `difference-of-squares`
2×	`associate--l-` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`sub-neg` `diff-log`

Counts

3 → 61

Calls

3 calls:

0.0hr	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
0.0hr	(log (- 1.0 eps))
0.0hr	(log (+ 1.0 eps))

series0.0hr

Counts

3 → 9

Calls

3 calls:

0.0hr	(- (log (- 1.0 eps)) (log (+ 1.0 eps)))
0.0hr	(log (- 1.0 eps))
0.0hr	(log (+ 1.0 eps))

simplify0.0hr

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	323	439
1	887	414
2	3343	392
3	5002	392

prune0.0hr

Filtered

70 candidates to 53 candidates (24.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	3	1	4
Picked	1	0	1
Done	1	0	1
Total	74	2	76

Merged error: 0.0b

Counts

76 → 2

localize0.0hr

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
201×	`associate-r`
171×	`add-sqr-sqrt`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
52×	`sqr-pow`
48×	`add-exp-log`
27×	`unswap-sqr`
24×	`cube-mult` `unpow3`
20×	`prod-exp`
18×	`div-exp`
12×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
6×	`pow1` `associate-l`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

2 → 278

Calls

2 calls:

0.0hr	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.0hr	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.0hr	(* -2/3 (/ (pow eps 3) (pow 1.0 3)))

simplify0.0hr

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 1 (0.0hr)

Iter	Nodes	Cost
0	1050	1560
1	5001	1380

prune0.0hr

Filtered

284 candidates to 148 candidates (47.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	284	2	286

Merged error: 0.0b

Counts

286 → 2

regimes0.0hr

Accuracy

0% (0.2b remaining)

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

bsearch0.0hr

simplify0.0hr

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0hr)

Iter	Nodes	Cost
0	22	11
1	22	11

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3414×	body	1280	valid
0.0hr	2524×	body	640	valid
0.0hr	8169×	body	80	nan
0.0hr	1258×	body	320	valid
0.0hr	598×	body	160	valid
0.0hr	206×	body	80	valid

Details

sample0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

localize0.0hr

rewrite0.0hr

series0.0hr

simplify0.0hr

prune0.0hr

regimes0.0hr

bsearch0.0hr

simplify0.0hr

end0.0hr

sample0.0hr

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