Details

sample213.0ms

Algorithm

intervals

Results

94.0ms	106×	body	1280	valid
41.0ms	82×	body	640	valid
36.0ms	267×	body	80	nan
13.0ms	44×	body	320	valid
4.0ms	20×	body	160	valid
0.0ms	4×	body	80	valid

simplify155.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.7b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.8b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite51.0ms

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:

33.0ms	(/ (+ 1.0 x) (- 1.0 x))
10.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series208.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (+ 1.0 x) (- 1.0 x))
162.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify705.0ms

Counts

88 → 88

Iterations

Useful iterations: done (701.0ms)

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

prune256.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite100.0ms

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:

76.0ms

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

series92.0ms

Counts

1 → 3

Calls

1 calls:

92.0ms

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

simplify1.6s

Counts

113 → 113

Iterations

Useful iterations: 2 (672.0ms)

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

prune443.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
6.8b	(log (+ 1.0 x))
6.8b	(log (- 1.0 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`log-prod`
11×	`add-sqr-sqrt`
10×	`pow1`
8×	`distribute-lft-out`
7×	`add-cube-cbrt` `log-pow`
6×	`log-div`
5×	`add-exp-log` `associate-+r+` `distribute-neg-in`
4×	`associate-+l+` `distribute-rgt-neg-in` `add-log-exp`
3×	`flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l-` `rem-log-exp` `sum-log` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3--` `unsub-neg` `neg-log` `flip--`

Counts

3 → 63

Calls

3 calls:

31.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
7.0ms	(log (+ 1.0 x))
5.0ms	(log (- 1.0 x))

series556.0ms

Counts

3 → 9

Calls

3 calls:

414.0ms	(+ (log (+ 1.0 x)) (- (log (- 1.0 x))))
77.0ms	(log (+ 1.0 x))
65.0ms	(log (- 1.0 x))

simplify814.0ms

Counts

72 → 72

Iterations

Useful iterations: done (812.0ms)

Iter	Nodes	Cost
0	146	821
1	344	754
2	1315	683
done	5001	681

prune221.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

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)))

rewrite201.0ms

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:

36.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
131.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

series247.0ms

Counts

2 → 6

Calls

2 calls:

150.0ms	(* 2/5 (/ (pow x 5) (pow 1.0 5)))
97.0ms	(* 2/3 (/ (pow x 3) (pow 1.0 3)))

simplify781.0ms

Counts

284 → 284

Iterations

Useful iterations: done (769.0ms)

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

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes21.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.5s	3384×	body	1280	valid
987.0ms	2535×	body	640	valid
737.0ms	1260×	body	320	valid
681.0ms	7950×	body	80	nan
88.0ms	612×	body	160	valid
13.0ms	209×	body	80	valid