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	36×	body	320	valid
0.0hr	19×	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	18	6
1	25	6
2	40	6
3	61	6
4	88	6
5	104	6
6	113	6
7	113	6

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 x) (- 1.0 x))
4.7b	(log (/ (+ 1.0 x) (- 1.0 x)))

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-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `flip--` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

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

series0.0hr

Counts

2 → 6

Calls

2 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	318	660
1	1025	624
2	4261	602
3	5003	602

prune0.0hr

Filtered

88 candidates to 58 candidates (34.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0.3b

Counts

89 → 7

localize0.0hr

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite0.0hr

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
71×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
37×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
5×	`associate-+r+` `associate-*r/`
4×	`pow1` `frac-add`
3×	`log-prod` `flip3-+` `associate-l` `associate--l+` `flip-+`
2×	`associate-+l+` `flip3--` `sum-log` `flip--` `cbrt-unprod`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `associate-+r-` `sub-neg` `distribute-lft-in` `diff-log` `pow-prod-down` `*-commutative` `div-inv`

Counts

2 → 134

Calls

2 calls:

0.0hr	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0hr	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
0.0hr	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify0.0hr

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	799	1100
1	3634	972
2	5002	968

prune0.0hr

Filtered

140 candidates to 90 candidates (35.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Merged error: 0.3b

Counts

147 → 7

localize0.0hr

Local error

Found 3 expressions with local error:

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

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--r+`
4×	`associate--l+`
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 x)) (log (- 1.0 x)))
0.0hr	(log (- 1.0 x))
0.0hr	(log (+ 1.0 x))

series0.0hr

Counts

3 → 9

Calls

3 calls:

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

simplify0.0hr

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (0.0hr)

Iter	Nodes	Cost
0	317	438
1	857	414
2	3110	392
3	5001	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	68	2	70
Fresh	5	0	5
Picked	1	0	1
Done	1	0	1
Total	75	2	77

Merged error: 0.0b

Counts

77 → 2

localize0.0hr

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.1b	(* 2/3 (/ (pow x 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 x 5) (pow 1.0 5)))
0.0hr	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series0.0hr

Counts

2 → 6

Calls

2 calls:

0.0hr	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
0.0hr	(* 2/3 (/ (pow x 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	26	13
1	26	13

end0.0hr

sample0.0hr

Algorithm

intervals

Results

0.0hr	3415×	body	1280	valid
0.0hr	2525×	body	640	valid
0.0hr	8169×	body	80	nan
0.0hr	1255×	body	320	valid
0.0hr	599×	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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