Details

sample151.0ms

Algorithm

intervals

Results

64.0ms	109×	body	1280	valid
30.0ms	276×	body	80	nan
27.0ms	80×	body	640	valid
8.0ms	37×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify109.0ms

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	61	12
5	88	12
6	102	12
7	106	12
done	106	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.1b

localize18.0ms

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)))

rewrite67.0ms

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×	`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:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
18.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series187.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
154.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.8s

Counts

88 → 88

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	142	1276
1	319	1221
2	803	1150
3	1966	1108
done	5000	1104

prune315.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize20.0ms

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

prune11.0ms

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)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 201

Calls

4 calls:

33.0ms	(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
23.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
18.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series939.0ms

Counts

4 → 12

Calls

4 calls:

404.0ms	(+ (log (sqrt (+ 1.0 x))) (log (/ (sqrt (+ 1.0 x)) (- 1.0 x))))
152.0ms	(/ (sqrt (+ 1.0 x)) (- 1.0 x))
285.0ms	(log (/ (sqrt (+ 1.0 x)) (- 1.0 x)))
97.0ms	(log (sqrt (+ 1.0 x)))

simplify1.6s

Counts

213 → 213

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	315	3788
1	707	3452
2	1867	3135
done	5000	3027

prune577.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize23.0ms

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)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
50×	`log-prod`
45×	`times-frac`
34×	`add-cube-cbrt`
21×	`associate-+r+`
14×	`add-exp-log`
12×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`log-pow`
6×	`log-div` `associate-/r/` `add-cbrt-cube` `distribute-lft-out`
5×	`rem-log-exp` `associate-/r*`
4×	`associate-+l+` `div-exp` `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 → 138

Calls

4 calls:

24.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
17.0ms	(/ 1 (- 1.0 x))
5.0ms	(log (+ 1.0 x))
13.0ms	(log (/ 1 (- 1.0 x)))

series478.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
35.0ms	(/ 1 (- 1.0 x))
59.0ms	(log (+ 1.0 x))
111.0ms	(log (/ 1 (- 1.0 x)))

simplify4.5s

Counts

150 → 150

Iterations

Useful iterations: 4 (3.2s)

Iter	Nodes	Cost
0	215	1769
1	472	1480
2	1001	1339
3	2185	1307
4	4904	1289
done	5001	1289

prune368.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

regimes39.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	18	20
done	18	20

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.7s	3383×	body	1280	valid
1.2s	2511×	body	640	valid
1.1s	7937×	body	80	nan
440.0ms	1257×	body	320	valid
110.0ms	648×	body	160	valid
16.0ms	201×	body	80	valid