Details

sample142.0ms

Algorithm

intervals

Results

66.0ms	106×	body	1280	valid
31.0ms	82×	body	640	valid
12.0ms	267×	body	80	nan
9.0ms	44×	body	320	valid
2.0ms	19×	body	160	valid
0.0ms	5×	body	80	valid

simplify21.0ms

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

prune18.0ms

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 eps) (+ 1.0 eps))
6.8b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

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-/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:

28.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
19.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series250.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
203.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify938.0ms

Counts

89 → 89

Iterations

Useful iterations: done (934.0ms)

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

prune286.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 2.0 (pow eps 2))

rewrite37.0ms

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:

35.0ms

(* 2.0 (pow eps 2))

series52.0ms

Counts

1 → 3

Calls

1 calls:

51.0ms

(* 2.0 (pow eps 2))

simplify3.3s

Counts

30 → 30

Iterations

Useful iterations: done (3.3s)

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

prune89.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite65.0ms

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:

36.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
16.0ms	(log (+ 1.0 eps))
10.0ms	(log (- 1.0 eps))

series564.0ms

Counts

3 → 9

Calls

3 calls:

433.0ms	(+ (log (- 1.0 eps)) (- (log (+ 1.0 eps))))
66.0ms	(log (+ 1.0 eps))
65.0ms	(log (- 1.0 eps))

simplify731.0ms

Counts

72 → 72

Iterations

Useful iterations: done (729.0ms)

Iter	Nodes	Cost
0	147	823
1	349	756
2	1297	684
done	5000	682

prune160.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
0.1b	(* (/ (pow eps 3) (pow 1.0 3)) -2/3)

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
171×	`add-sqr-sqrt`
151×	`associate-l`
128×	`unpow-prod-down`
106×	`add-cube-cbrt` `*-un-lft-identity`
80×	`cube-prod`
56×	`associate-r`
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`
4×	`cbrt-unprod`
2×	`cbrt-undiv` `pow-prod-down` `*-commutative` `div-inv` `add-log-exp`
1×	`associate-r/` `associate-l/`

Counts

2 → 278

Calls

2 calls:

58.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
119.0ms	(* (/ (pow eps 3) (pow 1.0 3)) -2/3)

series204.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(* 2/5 (/ (pow eps 5) (pow 1.0 5)))
88.0ms	(* (/ (pow eps 3) (pow 1.0 3)) -2/3)

simplify2.6s

Counts

284 → 284

Iterations

Useful iterations: 2 (1.2s)

Iter	Nodes	Cost
0	389	3467
1	1015	2955
2	4699	2883
done	5001	2883

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes14.0ms

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 (0.0ms)

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

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.4s	3385×	body	1280	valid
858.0ms	2533×	body	640	valid
265.0ms	7950×	body	80	nan
257.0ms	1258×	body	320	valid
100.0ms	608×	body	160	valid
11.0ms	216×	body	80	valid