Details

sample58.0ms

Algorithm

intervals

Results

34.0ms	71×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	20×	body	320	valid
2.0ms	100×	body	80	valid
1.0ms	76×	body	80	nan
1.0ms	11×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.7b

localize3.0ms

Local error

Found 1 expressions with local error:

3.1b	(log (+ 1.0 x))

rewrite3.0ms

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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(log (+ 1.0 x))

simplify1.7s

Counts

20 → 20

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	60	188
1	132	177
2	329	159
3	874	158
4	3457	151
done	5000	151

prune59.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ (pow x 2) (pow 1.0 2)) -1/2 (fma 1.0 x (log 1.0)))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(fma (/ (pow x 2) (pow 1.0 2)) -1/2 (fma 1.0 x (log 1.0)))

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (214.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	134	194
3	374	194
4	1830	191
done	5000	191

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

3.2b	(log (sqrt (+ 1.0 x)))
3.2b	(log (sqrt (+ 1.0 x)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
10×	`*-un-lft-identity`
8×	`sqrt-prod`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
4×	`add-exp-log` `log-div` `sqrt-div`
2×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

2 → 44

Calls

2 calls:

3.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(log (sqrt (+ 1.0 x)))
85.0ms	(log (sqrt (+ 1.0 x)))

simplify2.0s

Counts

50 → 50

Iterations

Useful iterations: 4 (1.4s)

Iter	Nodes	Cost
0	74	520
1	144	484
2	320	430
3	881	428
4	3928	416
done	5000	416

prune98.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
3.2b	(log (cbrt (+ 1.0 x)))
3.2b	(log (cbrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`cbrt-div`
6×	`pow1` `add-exp-log`
4×	`expm1-log1p-u` `log-div` `flip3-+` `pow1/3` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
2×	`rem-log-exp`

Counts

4 → 74

Calls

4 calls:

5.0ms	(cbrt (+ 1.0 x))
2.0ms	(cbrt (+ 1.0 x))
3.0ms	(log (cbrt (+ 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series392.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ 1.0 x))
84.0ms	(cbrt (+ 1.0 x))
112.0ms	(log (cbrt (+ 1.0 x)))
111.0ms	(log (cbrt (+ 1.0 x)))

simplify873.0ms

Counts

86 → 86

Iterations

Useful iterations: done (870.0ms)

Iter	Nodes	Cost
0	118	986
1	262	930
2	688	862
3	1965	798
done	5001	796

prune219.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes44.0ms

Accuracy

98.1% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	31
1	18	31
done	18	31

end0.0ms

sample1.6s

Algorithm

intervals

Results

955.0ms	2207×	body	1280	valid
334.0ms	1661×	body	640	valid
88.0ms	839×	body	320	valid
61.0ms	2863×	body	80	valid
34.0ms	2640×	body	80	nan
25.0ms	430×	body	160	valid