Details

sample56.0ms

Algorithm

intervals

Results

30.0ms	68×	body	1280	valid
11.0ms	54×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	95×	body	80	valid
2.0ms	103×	body	80	nan
1.0ms	15×	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: 37.8b

localize4.0ms

Local error

Found 1 expressions with local error:

4.4b	(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))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(log (+ 1.0 x))

simplify1.5s

Counts

18 → 18

Iterations

Useful iterations: 4 (864.0ms)

Iter	Nodes	Cost
0	58	178
1	123	171
2	296	151
3	784	151
4	3212	146
done	5001	146

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
69×	`add-sqr-sqrt`
68×	`associate-r`
56×	`unpow-prod-down`
35×	`add-cube-cbrt` `*-un-lft-identity`
24×	`add-exp-log` `unpow2` `sqr-pow`
17×	`unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
6×	`pow-to-exp` `pow-exp` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`cbrt-unprod`
1×	`cbrt-undiv` `associate-r/` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 110

Calls

1 calls:

29.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(* 1/2 (/ (pow x 2) (pow 1.0 2)))

simplify546.0ms

Counts

113 → 113

Iterations

Useful iterations: 2 (244.0ms)

Iter	Nodes	Cost
0	222	1482
1	532	1283
2	1674	1087
done	5001	1087

prune259.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
4.4b	(log (+ 1.0 x))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms	(pow (log (+ 1.0 x)) 3)
2.0ms	(log (+ 1.0 x))

series186.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
97.0ms	(pow (log (+ 1.0 x)) 3)
42.0ms	(log (+ 1.0 x))

simplify506.0ms

Counts

72 → 72

Iterations

Useful iterations: done (500.0ms)

Iter	Nodes	Cost
0	158	981
1	397	806
2	1330	736
done	5000	735

prune120.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.1b	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
32.5b	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
77×	`add-sqr-sqrt`
68×	`associate-r`
62×	`unpow-prod-down`
43×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log`
26×	`sqr-pow`
24×	`unpow2`
17×	`unswap-sqr`
12×	`cbrt-prod`
10×	`prod-exp`
9×	`div-exp` `add-cbrt-cube`
8×	`cube-div`
7×	`pow-to-exp` `pow-exp`
6×	`pow1` `cube-prod`
5×	`associate-*r/`
4×	`cbrt-div` `frac-sub`
3×	`pow-unpow` `associate-l` `add-log-exp`
2×	`cube-mult` `flip3--` `flip3-+` `unpow3` `flip--` `cbrt-unprod` `flip-+`
1×	`cbrt-undiv` `pow-pow` `pow1/3` `pow-prod-down` `*-commutative` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

3 → 162

Calls

3 calls:

28.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
22.0ms	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
20.0ms	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

series198.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(* 1/2 (/ (pow x 2) (pow 1.0 2)))
100.0ms	(pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3)
42.0ms	(cbrt (pow (- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2)))) 3))

simplify940.0ms

Counts

171 → 171

Iterations

Useful iterations: 2 (453.0ms)

Iter	Nodes	Cost
0	340	3424
1	868	2975
2	2928	2591
done	5001	2591

prune443.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.1b

regimes87.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

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

984.0ms	2257×	body	1280	valid
348.0ms	1662×	body	640	valid
94.0ms	851×	body	320	valid
62.0ms	2788×	body	80	valid
36.0ms	2743×	body	80	nan
27.0ms	442×	body	160	valid