Details

sample96.0ms

Algorithm

intervals

Results

57.0ms	82×	body	1280	valid
16.0ms	46×	body	640	valid
5.0ms	28×	body	320	valid
3.0ms	88×	body	80	valid
2.0ms	99×	body	80	nan
2.0ms	12×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	5
1	5
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.5b

localize6.0ms

Local error

Found 1 expressions with local error:

3.8b	(log (+ 1.0 x))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`add-sqr-sqrt` `pow1` `log-div` `add-exp-log` `add-cube-cbrt`
1×	`flip3-+` `add-cbrt-cube` `rem-log-exp` `log-pow` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log (+ 1.0 x))

series65.0ms

Counts

1 → 3

Calls

1 calls:

65.0ms

(log (+ 1.0 x))

simplify2.1s

Counts

18 → 18

Iterations

Iter	Nodes
done	5002
4	2348
3	735
2	288
1	123
0	58

prune62.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (* (/ x 1.0) (/ x 1.0)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-cbrt-cube` `add-exp-log`
9×	`prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-*r/`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`frac-times` `associate-r` `associate-l/` `-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 28

Calls

1 calls:

57.0ms

(* 1/2 (* (/ x 1.0) (/ x 1.0)))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* 1/2 (* (/ x 1.0) (/ x 1.0)))

simplify2.3s

Counts

31 → 31

Iterations

Iter	Nodes
done	5109
3	3206
2	633
1	165
0	62

prune122.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.8b	(log (sqrt (+ 1.0 x)))
3.8b	(log (sqrt (+ 1.0 x)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `add-cbrt-cube` `pow1/2` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

8.0ms	(sqrt (+ 1.0 x))
11.0ms	(sqrt (+ 1.0 x))
9.0ms	(log (sqrt (+ 1.0 x)))
9.0ms	(log (sqrt (+ 1.0 x)))

series281.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(sqrt (+ 1.0 x))
40.0ms	(sqrt (+ 1.0 x))
99.0ms	(log (sqrt (+ 1.0 x)))
107.0ms	(log (sqrt (+ 1.0 x)))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5018
4	4520
3	1221
2	466
1	180
0	89

prune333.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

97.5% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.4b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	17
1	17
0	14

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.5s	2255×	body	1280	valid
631.0ms	1724×	body	640	valid
133.0ms	835×	body	320	valid
126.0ms	2657×	body	80	nan
94.0ms	2780×	body	80	valid
38.0ms	406×	body	160	valid