Details

sample171.0ms

Algorithm

intervals

Results

81.0ms	99×	body	1280	valid
37.0ms	84×	body	640	valid
12.0ms	247×	body	80	nan
10.0ms	41×	body	320	valid
4.0ms	27×	body	160	valid
0.0ms	5×	body	80	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
6.7b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite76.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

50.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
18.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series241.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
179.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify733.0ms

Counts

89 → 89

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	143	1284
1	349	1221
2	1325	1156
done	5002	1154

prune363.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (pow eps 2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`associate-r`
6×	`add-exp-log`
4×	`add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`unpow2` `sqr-pow`
1×	`pow1` `pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

12.0ms

(* 2.0 (pow eps 2))

series51.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* 2.0 (pow eps 2))

simplify2.8s

Counts

30 → 30

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	51	232
1	115	209
2	431	178
3	2950	176
done	5002	173

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 2.0 (pow eps 2))
3.4b	(log (exp (* 2.0 (pow eps 2))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`pow1` `log-prod` `associate-l` `prod-exp` `log-pow` `add-log-exp`
2×	`unpow2` `sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `rem-log-exp` `pow-exp` `*-commutative` `cbrt-unprod`

Counts

2 → 41

Calls

2 calls:

24.0ms	(* 2.0 (pow eps 2))
7.0ms	(log (exp (* 2.0 (pow eps 2))))

series84.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* 2.0 (pow eps 2))
37.0ms	(log (exp (* 2.0 (pow eps 2))))

simplify3.1s

Counts

47 → 47

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	68	389
1	136	333
2	443	290
3	2800	288
done	5000	285

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
6.7b	(log (- 1.0 eps))
6.7b	(log (+ 1.0 eps))

rewrite60.0ms

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-+l+`
4×	`associate-+r+` `distribute-neg-in` `distribute-rgt-neg-in` `add-log-exp`
3×	`add-cbrt-cube`
2×	`associate-+l-` `flip3--` `flip3-+` `rem-log-exp` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `neg-sub0` `associate-+r-` `unsub-neg` `neg-log`

Counts

3 → 63

Calls

3 calls:

40.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
9.0ms	(log (- 1.0 eps))
8.0ms	(log (+ 1.0 eps))

series513.0ms

Counts

3 → 9

Calls

3 calls:

372.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
76.0ms	(log (- 1.0 eps))
64.0ms	(log (+ 1.0 eps))

simplify697.0ms

Counts

72 → 72

Iterations

Useful iterations: done (694.0ms)

Iter	Nodes	Cost
0	147	823
1	349	756
2	1308	684
done	5002	682

prune219.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	23
1	22	23
done	22	23

end0.0ms

sample4.3s

Algorithm

intervals

Results

1.9s	3440×	body	1280	valid
1.3s	2472×	body	640	valid
331.0ms	7890×	body	80	nan
229.0ms	1248×	body	320	valid
102.0ms	646×	body	160	valid
10.0ms	194×	body	80	valid