Details

sample134.0ms

Algorithm

intervals

Results

65.0ms	115×	body	1280	valid
22.0ms	67×	body	640	valid
17.0ms	243×	body	80	nan
8.0ms	38×	body	320	valid
3.0ms	27×	body	160	valid
1.0ms	9×	body	80	valid

simplify150.0ms

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	106	12
7	121	12
8	123	12
done	123	12

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.1b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite74.0ms

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:

41.0ms	(/ (+ 1.0 x) (- 1.0 x))
29.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series243.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ (+ 1.0 x) (- 1.0 x))
203.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify772.0ms

Counts

88 → 88

Iterations

Useful iterations: done (767.0ms)

Iter	Nodes	Cost
0	142	1276
1	328	1221
2	1300	1152
done	5000	1139

prune400.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

66.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 2 (680.0ms)

Iter	Nodes	Cost
0	220	1482
1	609	1317
2	3145	1027
done	5000	1027

prune435.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 x)) (log (- 1.0 x)))
7.2b	(log (- 1.0 x))
7.2b	(log (+ 1.0 x))

rewrite45.0ms

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:

24.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
9.0ms	(log (- 1.0 x))
10.0ms	(log (+ 1.0 x))

series486.0ms

Counts

3 → 9

Calls

3 calls:

382.0ms	(- (log (+ 1.0 x)) (log (- 1.0 x)))
55.0ms	(log (- 1.0 x))
49.0ms	(log (+ 1.0 x))

simplify2.5s

Counts

70 → 70

Iterations

Useful iterations: 2 (180.0ms)

Iter	Nodes	Cost
0	140	809
1	305	764
2	930	704
3	4600	704
done	5000	704

prune218.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

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)))

rewrite189.0ms

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:

42.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
117.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
111.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify763.0ms

Counts

284 → 284

Iterations

Useful iterations: done (747.0ms)

Iter	Nodes	Cost
0	425	3681
1	1225	3007
done	5001	2743

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes16.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	27
1	26	27
done	26	27

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.3s	3467×	body	1280	valid
1.0s	2499×	body	640	valid
981.0ms	7917×	body	80	nan
309.0ms	1233×	body	320	valid
154.0ms	617×	body	160	valid
14.0ms	184×	body	80	valid