Details

sample58.0ms

Algorithm

intervals

Results

30.0ms	71×	body	1280	valid
12.0ms	57×	body	640	valid
4.0ms	35×	body	320	valid
2.0ms	82×	body	80	valid
1.0ms	80×	body	80	nan
1.0ms	11×	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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.0b

localize3.0ms

Local error

Found 1 expressions with local error:

3.4b	(log (+ 1.0 x))

rewrite5.0ms

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:

5.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify2.5s

Counts

18 → 18

Iterations

Useful iterations: 5 (1.3s)

Iter	Nodes	Cost
0	58	178
1	123	171
2	260	151
3	528	151
4	1197	146
5	3028	140
done	5000	140

prune40.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
0.1b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
13×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `associate-r`
3×	`associate-l` `associate-/l*`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `flip3-+` `pow-prod-down` `clear-num` `associate-/r/` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 71

Calls

2 calls:

57.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
10.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
20.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify2.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	146	994
1	354	928
2	1127	852
3	4629	842
done	5001	842

prune157.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
17×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
3×	`associate-/l*`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `add-log-exp`

Counts

1 → 48

Calls

1 calls:

12.0ms

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

series16.0ms

Counts

1 → 3

Calls

1 calls:

16.0ms

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

simplify1.2s

Counts

51 → 51

Iterations

Useful iterations: 3 (567.0ms)

Iter	Nodes	Cost
0	107	626
1	232	587
2	666	541
3	2147	535
done	5000	535

prune111.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
3.4b	(log (+ 1.0 x))
3.4b	(log (+ 1.0 x))
3.4b	(log (+ 1.0 x))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
12×	`log-prod`
8×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
7×	`add-exp-log`
6×	`log-div`
4×	`cbrt-prod` `log-pow` `add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))
4.0ms	(log (+ 1.0 x))

series268.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (log (+ 1.0 x)))
40.0ms	(log (+ 1.0 x))
44.0ms	(log (+ 1.0 x))
41.0ms	(log (+ 1.0 x))

simplify1.2s

Counts

69 → 69

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	123	824
1	308	785
2	788	701
3	2303	637
done	5001	633

prune146.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes100.0ms

Accuracy

99.2% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 20.9b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	21	26
done	21	26

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.0s	2371×	body	1280	valid
343.0ms	1664×	body	640	valid
85.0ms	838×	body	320	valid
55.0ms	2707×	body	80	valid
34.0ms	2681×	body	80	nan
24.0ms	420×	body	160	valid