Details

sample104.0ms

Algorithm

intervals

Results

56.0ms	68×	body	1280	valid
19.0ms	46×	body	640	valid
5.0ms	110×	body	80	valid
5.0ms	23×	body	320	valid
2.0ms	80×	body	80	nan
1.0ms	9×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	5	4
done	5	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.4b

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(log (+ 1.0 x))

rewrite10.0ms

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:

9.0ms

(log (+ 1.0 x))

series57.0ms

Counts

1 → 3

Calls

1 calls:

57.0ms

(log (+ 1.0 x))

simplify3.9s

Counts

18 → 18

Iterations

Useful iterations: 5 (2.2s)

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

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite100.0ms

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:

75.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
23.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series117.0ms

Counts

2 → 6

Calls

2 calls:

92.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
25.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.4s

Counts

77 → 77

Iterations

Useful iterations: 3 (1.8s)

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

prune273.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
0.2b	(/ -1/2 (/ (* 1.0 1.0) x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`times-frac`
18×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`pow1`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `associate-/r/` `cbrt-unprod` `flip-+` `distribute-lft-out`

Counts

2 → 60

Calls

2 calls:

8.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
18.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series149.0ms

Counts

2 → 6

Calls

2 calls:

132.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
17.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.4s

Counts

66 → 66

Iterations

Useful iterations: 3 (2.7s)

Iter	Nodes	Cost
0	138	915
1	335	837
2	1098	763
3	4518	747
done	5000	747

prune211.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

18.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

297.0ms	(* (cbrt x) (cbrt x))
282.0ms	(cbrt x)
281.0ms	(cbrt x)
290.0ms	(cbrt x)

simplify4.7s

Counts

85 → 85

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4427	374
done	5001	364

prune362.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes109.0ms

Accuracy

99% (0.2b remaining)

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

bsearch3.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.6s	2248×	body	1280	valid
602.0ms	1665×	body	640	valid
156.0ms	2858×	body	80	valid
140.0ms	778×	body	320	valid
90.0ms	451×	body	160	valid
68.0ms	2680×	body	80	nan