Details

sample142.0ms

Algorithm

intervals

Results

69.0ms	109×	body	1280	valid
29.0ms	80×	body	640	valid
13.0ms	276×	body	80	nan
8.0ms	37×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify154.0ms

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: 58.1b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.2b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite72.0ms

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:

47.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series194.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
154.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.9s

Counts

92 → 92

Iterations

Useful iterations: done (1.9s)

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

prune260.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

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

prune18.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
0.0b	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
6.2b	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
6.4b	(log (sqrt (+ 1.0 x)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

149×	`*-un-lft-identity`
109×	`add-sqr-sqrt`
105×	`times-frac`
96×	`log-prod`
72×	`sqrt-prod`
65×	`add-cube-cbrt`
41×	`associate-+r+`
22×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
13×	`pow1`
11×	`log-pow`
10×	`add-exp-log`
7×	`associate-+l+` `associate-/l*`
6×	`log-div` `fma-def` `sqrt-div` `associate-/r/` `add-cbrt-cube`
5×	`associate-/r*`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `rem-log-exp` `flip--` `div-inv`
2×	`associate-+l-` `sqrt-pow1` `pow1/2` `div-exp` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `clear-num` `sum-log`

Counts

4 → 215

Calls

4 calls:

53.0ms	(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
24.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
13.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

432.0ms	(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
135.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
338.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
104.0ms	(log (sqrt (+ 1.0 x)))

simplify1.4s

Counts

227 → 227

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	323	3870
1	743	3513
2	2008	3187
done	5000	3082

prune864.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
0.0b	(/ 1 (- 1.0 x))
6.3b	(log (+ 1.0 x))
6.3b	(log (/ 1 (- 1.0 x)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
35×	`add-cube-cbrt`
21×	`associate-+r+`
14×	`add-exp-log`
13×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`expm1-log1p-u` `associate-+l+` `fma-def` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `flip3-+` `log-rec` `flip--` `flip-+` `div-inv` `associate-/l*`
2×	`associate-+l-` `rec-exp` `pow-flip` `1-exp` `inv-pow`
1×	`cbrt-undiv` `+-commutative` `associate-+r-` `frac-2neg` `unsub-neg` `clear-num` `sum-log`

Counts

4 → 150

Calls

4 calls:

34.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
19.0ms	(/ 1 (- 1.0 x))
10.0ms	(log (+ 1.0 x))
10.0ms	(log (/ 1 (- 1.0 x)))

series470.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
33.0ms	(/ 1 (- 1.0 x))
79.0ms	(log (+ 1.0 x))
98.0ms	(log (/ 1 (- 1.0 x)))

simplify3.3s

Counts

162 → 162

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	223	1829
1	502	1516
2	1105	1384
3	2512	1350
done	5001	1329

prune461.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

regimes58.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.5s	3383×	body	1280	valid
1.5s	7937×	body	80	nan
1.1s	2511×	body	640	valid
495.0ms	1257×	body	320	valid
102.0ms	648×	body	160	valid
67.0ms	201×	body	80	valid