Details

sample63.0ms

Algorithm

intervals

Results

38.0ms	76×	body	1280	valid
11.0ms	55×	body	640	valid
2.0ms	90×	body	80	valid
2.0ms	18×	body	320	valid
1.0ms	80×	body	80	nan
1.0ms	17×	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: 39.3b

localize4.0ms

Local error

Found 1 expressions with local error:

4.9b	(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:

3.0ms

(log (+ 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1.0 x))

simplify734.0ms

Counts

20 → 20

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	60	188
1	133	177
2	376	159
3	1394	158
done	5001	158

prune54.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

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:

0.0ms

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

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

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

simplify1.4s

Counts

13 → 13

Iterations

Useful iterations: 4 (228.0ms)

Iter	Nodes	Cost
0	25	225
1	45	222
2	139	194
3	474	191
4	2871	188
done	5000	188

prune47.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
4.9b	(log (+ 1.0 x))
4.9b	(log (+ 1.0 x))
4.9b	(log (+ 1.0 x))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
23×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`pow1`
15×	`add-cube-cbrt`
12×	`log-prod`
9×	`add-exp-log` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`log-div` `pow1/3`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series324.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
41.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify606.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (162.0ms)

Iter	Nodes	Cost
0	179	1555
1	464	1415
2	1733	1286
done	5000	1286

prune280.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

4.9b	(log (+ 1.0 x))
4.9b	(log (+ 1.0 x))
5.0b	(log (cbrt (+ 1.0 x)))
5.0b	(log (cbrt (+ 1.0 x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 76

Calls

4 calls:

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

series322.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(log (+ 1.0 x))
47.0ms	(log (+ 1.0 x))
115.0ms	(log (cbrt (+ 1.0 x)))
119.0ms	(log (cbrt (+ 1.0 x)))

simplify1.0s

Counts

88 → 88

Iterations

Useful iterations: 3 (223.0ms)

Iter	Nodes	Cost
0	111	900
1	229	854
2	614	764
3	2323	760
done	5001	760

prune298.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes151.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.7b

bsearch2.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2320×	body	1280	valid
347.0ms	1638×	body	640	valid
86.0ms	806×	body	320	valid
63.0ms	2850×	body	80	valid
37.0ms	2733×	body	80	nan
24.0ms	386×	body	160	valid