Details

sample163.0ms

Algorithm

intervals

Results

85.0ms	114×	body	1280	valid
33.0ms	78×	body	640	valid
15.0ms	262×	body	80	nan
10.0ms	42×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify171.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	25	12
3	40	12
4	65	12
5	96	12
6	118	12
7	126	12
8	128	12
done	128	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite71.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

49.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series189.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(/ (+ 1.0 x) (- 1.0 x))
141.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.3s

Counts

92 → 92

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	146	1310
1	335	1243
2	851	1182
3	2166	1136
done	5000	1134

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune9.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
78×	`add-sqr-sqrt`
70×	`times-frac`
52×	`sqrt-prod`
48×	`log-prod`
45×	`add-cube-cbrt`
15×	`distribute-lft-out--` `difference-of-squares`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`pow1`
7×	`associate-/l*`
6×	`sqrt-div` `add-cbrt-cube`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `rem-log-exp` `flip-+`
2×	`flip3--` `sqrt-pow1` `pow1/2` `div-exp` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `hypot-def`

Counts

4 → 160

Calls

4 calls:

8.0ms	(sqrt (+ 1.0 x))
39.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
20.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(sqrt (+ 1.0 x))
142.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
99.0ms	(log (sqrt (+ 1.0 x)))
299.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify1.4s

Counts

172 → 172

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	269	2682
1	591	2462
2	1521	2316
done	5000	2274

prune542.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))))
0.0b	(log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
5.5b	(log (sqrt (+ 1.0 x)))
5.6b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

50×	`*-un-lft-identity`
48×	`log-prod`
38×	`add-sqr-sqrt`
35×	`times-frac`
24×	`add-cube-cbrt` `sqrt-prod`
8×	`add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`distribute-lft-out`
5×	`expm1-log1p-u`
4×	`log-pow` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `rem-log-exp`
2×	`sqrt-div` `associate-/r/`
1×	`log1p-udef` `expm1-log1p` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `log1p-expm1` `div-exp` `flip--` `flip-+` `div-inv` `expm1-udef`

Counts

4 → 98

Calls

4 calls:

0.0ms	(expm1 (log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))))
1.0ms	(log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
12.0ms	(log (sqrt (+ 1.0 x)))
24.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

series2.4s

Counts

4 → 12

Calls

4 calls:

1.2s	(expm1 (log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))))
716.0ms	(log1p (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
131.0ms	(log (sqrt (+ 1.0 x)))
335.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))

simplify2.1s

Counts

110 → 110

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	396	2689
1	1030	2497
2	3314	2266
done	5001	2246

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

regimes58.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	20
1	14	20
done	14	20

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.1s	3498×	body	1280	valid
1.6s	2438×	body	640	valid
539.0ms	7984×	body	80	nan
404.0ms	1245×	body	320	valid
95.0ms	619×	body	160	valid
14.0ms	200×	body	80	valid