Details

sample131.0ms

Algorithm

intervals

Results

64.0ms	125×	body	1280	valid
32.0ms	67×	body	640	valid
10.0ms	245×	body	80	nan
8.0ms	37×	body	320	valid
2.0ms	18×	body	160	valid
0.0ms	9×	body	80	valid

simplify6.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize9.0ms

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)))

rewrite53.0ms

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:

26.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
133.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify118.0ms

Counts: 88 → 88

prune206.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite51.0ms

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:

44.0ms

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

series62.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

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

simplify47.0ms

Counts: 113 → 113

prune295.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.2b

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))
5.6b	(log (+ 1.0 x))
5.6b	(log (/ 1 (- 1.0 x)))

rewrite56.0ms

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:

20.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
13.0ms	(/ 1 (- 1.0 x))
10.0ms	(log (+ 1.0 x))
8.0ms	(log (/ 1 (- 1.0 x)))

series413.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(+ (log (+ 1.0 x)) (log (/ 1 (- 1.0 x))))
29.0ms	(/ 1 (- 1.0 x))
53.0ms	(log (+ 1.0 x))
143.0ms	(log (/ 1 (- 1.0 x)))

simplify40.0ms

Counts: 150 → 150

prune272.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

5.6b	(log (+ 1.0 x))
5.6b	(log (/ 1 (- 1.0 x)))
5.6b	(log (/ 1 (- 1.0 x)))
5.6b	(log (/ 1 (- 1.0 x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

67×	`log-prod`
52×	`*-un-lft-identity`
50×	`add-sqr-sqrt`
45×	`times-frac`
32×	`add-cube-cbrt`
20×	`add-exp-log`
13×	`rem-log-exp`
11×	`pow1`
10×	`log-pow`
9×	`distribute-lft-out--` `difference-of-squares`
6×	`div-exp` `associate-/r/`
5×	`log-div`
4×	`add-cbrt-cube` `add-log-exp`
3×	`rec-exp` `flip3--` `pow-flip` `1-exp` `log-rec` `flip--` `div-inv` `inv-pow`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 126

Calls

4 calls:

5.0ms	(log (+ 1.0 x))
7.0ms	(log (/ 1 (- 1.0 x)))
7.0ms	(log (/ 1 (- 1.0 x)))
8.0ms	(log (/ 1 (- 1.0 x)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(log (+ 1.0 x))
68.0ms	(log (/ 1 (- 1.0 x)))
70.0ms	(log (/ 1 (- 1.0 x)))
64.0ms	(log (/ 1 (- 1.0 x)))

simplify72.0ms

Counts: 138 → 138

prune583.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.2b

regimes41.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

2.3s	3402×	body	1280	valid
906.0ms	2482×	body	640	valid
341.0ms	8060×	body	80	nan
222.0ms	1258×	body	320	valid
105.0ms	655×	body	160	valid
11.0ms	203×	body	80	valid