Details

sample67.0ms

Algorithm

intervals

Results

33.0ms	68×	body	1280	valid
11.0ms	46×	body	640	valid
7.0ms	23×	body	320	valid
3.0ms	110×	body	80	valid
1.0ms	80×	body	80	nan
1.0ms	9×	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: 34.4b

localize4.0ms

Local error

Found 1 expressions with local error:

2.7b	(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))

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

(log (+ 1.0 x))

simplify5.4s

Counts

20 → 20

Iterations

Useful iterations: done (5.4s)

Iter	Nodes	Cost
0	60	188
1	132	177
2	293	159
3	601	158
4	1413	151
5	3597	149
done	5001	147

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (fma (/ -1/2 (* 1.0 1.0)) x 1.0) (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:

1.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify1.0s

Counts

13 → 13

Iterations

Useful iterations: 4 (248.0ms)

Iter	Nodes	Cost
0	25	202
1	45	199
2	103	175
3	276	172
4	918	169
done	5000	169

prune57.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(log1p (log (+ 1.0 x)))
0.5b	(expm1 (log1p (log (+ 1.0 x))))
2.7b	(log (+ 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 39

Calls

3 calls:

0.0ms	(log1p (log (+ 1.0 x)))
0.0ms	(expm1 (log1p (log (+ 1.0 x))))
5.0ms	(log (+ 1.0 x))

series388.0ms

Counts

3 → 9

Calls

3 calls:

168.0ms	(log1p (log (+ 1.0 x)))
156.0ms	(expm1 (log1p (log (+ 1.0 x))))
63.0ms	(log (+ 1.0 x))

simplify2.6s

Counts

48 → 48

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	123	569
1	288	515
2	778	457
3	2498	438
done	5000	408

prune158.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 1 expressions with local error:

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

1.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 4 (600.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	116	194
3	379	191
4	2334	188
done	5001	188

prune76.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes96.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	16	24
done	16	24

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.5s	2248×	body	1280	valid
514.0ms	1665×	body	640	valid
116.0ms	778×	body	320	valid
102.0ms	2680×	body	80	nan
97.0ms	2858×	body	80	valid
42.0ms	451×	body	160	valid