Details

sample56.0ms

Algorithm

intervals

Results

29.0ms	67×	body	1280	valid
10.0ms	50×	body	640	valid
3.0ms	32×	body	320	valid
2.0ms	93×	body	80	valid
2.0ms	105×	body	80	nan
1.0ms	14×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.6b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b	(log (+ 1.0 x))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

5.0ms

(log (+ 1.0 x))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(log (+ 1.0 x))

simplify40.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	122	95
1	327	86
2	1161	81
3	5002	78

prune46.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
2×	`diff-log` `associate-*r/` `frac-sub`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `flip3-+` `associate--l+` `sum-log` `add-cbrt-cube` `flip--` `flip-+`

Counts

1 → 16

Calls

1 calls:

58.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify129.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	181	252
1	733	234
2	4310	223
3	5001	223

prune54.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite32.0ms

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-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

7.0ms	(sqrt (+ 1.0 x))
7.0ms	(sqrt (+ 1.0 x))
9.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(sqrt (+ 1.0 x))
30.0ms	(sqrt (+ 1.0 x))
81.0ms	(log (sqrt (+ 1.0 x)))
82.0ms	(log (sqrt (+ 1.0 x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	176	480
1	494	436
2	1896	418
3	5001	418

prune194.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
4.2b	(log (+ 1.0 x))
4.3b	(log (sqrt (+ 1.0 x)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
11×	`log-prod`
8×	`add-sqr-sqrt` `sqrt-prod`
7×	`pow1` `add-cube-cbrt`
5×	`add-exp-log`
4×	`log-div` `sqrt-div` `log-pow`
3×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`sqrt-pow1` `pow1/2` `rem-log-exp`
1×	`rem-sqrt-square`

Counts

3 → 51

Calls

3 calls:

7.0ms	(sqrt (+ 1.0 x))
5.0ms	(log (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(sqrt (+ 1.0 x))
40.0ms	(log (+ 1.0 x))
81.0ms	(log (sqrt (+ 1.0 x)))

simplify88.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	244	335
1	703	304
2	2884	290
3	5001	290

prune139.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes92.0ms

Accuracy

97.8% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.5b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	18
1	28	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

996.0ms	2313×	body	1280	valid
349.0ms	1714×	body	640	valid
80.0ms	794×	body	320	valid
63.0ms	2803×	body	80	valid
37.0ms	2756×	body	80	nan
22.0ms	376×	body	160	valid