Details

sample61.0ms

Algorithm

intervals

Results

34.0ms	76×	body	1280	valid
14.0ms	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.3b

localize3.0ms

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

Counts

1 → 15

Calls

1 calls:

2.0ms

(log (+ 1.0 x))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(log (+ 1.0 x))

simplify623.0ms

Counts

18 → 18

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	58	178
1	123	171
2	330	151
3	1246	151
done	5000	151

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
70×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
36×	`add-cube-cbrt` `*-un-lft-identity`
25×	`add-exp-log`
24×	`unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 126

Calls

2 calls:

29.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
22.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series94.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
40.0ms	(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify1.6s

Counts

132 → 132

Iterations

Useful iterations: 2 (481.0ms)

Iter	Nodes	Cost
0	268	1979
1	684	1743
2	3178	1523
done	5001	1523

prune306.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize8.0ms

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×	`add-cbrt-cube` `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 → 90

Calls

4 calls:

7.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
2.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))

series314.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (cbrt (log (+ 1.0 x))) (cbrt (log (+ 1.0 x))))
39.0ms	(log (+ 1.0 x))
43.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify540.0ms

Counts

102 → 102

Iterations

Useful iterations: 2 (139.0ms)

Iter	Nodes	Cost
0	175	1501
1	443	1382
2	1648	1247
done	5001	1247

prune221.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.2b

localize13.0ms

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)))

rewrite15.0ms

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×	`cbrt-div` `flip3-+` `rem-log-exp` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

2.0ms	(log (+ 1.0 x))
2.0ms	(log (+ 1.0 x))
3.0ms	(log (cbrt (+ 1.0 x)))
6.0ms	(log (cbrt (+ 1.0 x)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(log (+ 1.0 x))
45.0ms	(log (+ 1.0 x))
110.0ms	(log (cbrt (+ 1.0 x)))
111.0ms	(log (cbrt (+ 1.0 x)))

simplify883.0ms

Counts

80 → 80

Iterations

Useful iterations: 3 (191.0ms)

Iter	Nodes	Cost
0	107	856
1	215	824
2	539	734
3	2087	732
done	5000	732

prune259.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.2b

regimes140.0ms

Accuracy

99% (0.2b remaining)

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

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	26
1	21	26
done	21	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2320×	body	1280	valid
333.0ms	1638×	body	640	valid
82.0ms	806×	body	320	valid
58.0ms	2850×	body	80	valid
34.0ms	2733×	body	80	nan
22.0ms	386×	body	160	valid