Details

sample81.0ms

Algorithm

intervals

Results

42.0ms	69×	body	1280	valid
15.0ms	51×	body	640	valid
5.0ms	32×	body	320	valid
3.0ms	85×	body	80	valid
2.0ms	91×	body	80	nan
2.0ms	19×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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: 40.6b

localize4.0ms

Local error

Found 1 expressions with local error:

5.8b	(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×	`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:

5.0ms

(log (+ 1.0 x))

series77.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

(log (+ 1.0 x))

simplify1.5s

Counts

20 → 20

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	60	188
1	133	177
2	429	159
3	1678	158
done	5000	154

prune117.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize24.0ms

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)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

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

simplify579.0ms

Counts

13 → 13

Iterations

Useful iterations: done (578.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	148	194
3	640	191
done	5001	188

prune85.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
5.8b	(log (sqrt (+ 1.0 x)))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

9.0ms	(sqrt (+ 1.0 x))
15.0ms	(sqrt (+ 1.0 x))
11.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (+ 1.0 x))
42.0ms	(sqrt (+ 1.0 x))
129.0ms	(log (sqrt (+ 1.0 x)))
134.0ms	(log (sqrt (+ 1.0 x)))

simplify2.4s

Counts

94 → 94

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	93	896
1	192	816
2	668	738
3	3524	730
done	5000	730

prune346.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ 1.0 x))
0.2b	(cbrt (+ 1.0 x))
5.6b	(log (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))))
5.8b	(log (sqrt (+ 1.0 x)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
9×	`pow1`
8×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `log-prod`
6×	`cbrt-div`
5×	`log-pow`
4×	`expm1-log1p-u` `log-div` `flip3-+` `sqrt-div` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`rem-log-exp` `distribute-lft-out`
2×	`pow1/3` `associate-*r/`
1×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp`

Counts

4 → 70

Calls

4 calls:

4.0ms	(cbrt (+ 1.0 x))
4.0ms	(cbrt (+ 1.0 x))
25.0ms	(log (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))))
12.0ms	(log (sqrt (+ 1.0 x)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt (+ 1.0 x))
111.0ms	(cbrt (+ 1.0 x))
161.0ms	(log (* (fabs (cbrt (+ 1.0 x))) (sqrt (cbrt (+ 1.0 x)))))
100.0ms	(log (sqrt (+ 1.0 x)))

simplify752.0ms

Counts

82 → 82

Iterations

Useful iterations: done (748.0ms)

Iter	Nodes	Cost
0	183	1068
1	394	1006
2	1295	921
done	5001	859

prune292.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.2b

regimes130.0ms

Accuracy

99.1% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	38
1	25	38
done	25	38

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	2265×	body	1280	valid
554.0ms	1665×	body	640	valid
131.0ms	2777×	body	80	valid
131.0ms	848×	body	320	valid
90.0ms	2683×	body	80	nan
40.0ms	445×	body	160	valid