Details

sample72.0ms

Algorithm

intervals

Results

31.0ms	59×	body	1280	valid
19.0ms	67×	body	640	valid
3.0ms	24×	body	320	valid
3.0ms	92×	body	80	valid
2.0ms	82×	body	80	nan
1.0ms	14×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(log (+ 1.0 x))

rewrite6.0ms

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))

series54.0ms

Counts

1 → 3

Calls

1 calls:

53.0ms

(log (+ 1.0 x))

simplify3.9s

Counts

18 → 18

Iterations

Useful iterations: 5 (2.1s)

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

prune86.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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))

rewrite119.0ms

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:

100.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
17.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series143.0ms

Counts

2 → 6

Calls

2 calls:

115.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
28.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify3.8s

Counts

77 → 77

Iterations

Useful iterations: 3 (2.0s)

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

prune302.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite43.0ms

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:

13.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
28.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series119.0ms

Counts

2 → 6

Calls

2 calls:

100.0ms	(+ (* x 1.0) (* x (/ -1/2 (/ (* 1.0 1.0) x))))
18.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.1s

Counts

66 → 66

Iterations

Useful iterations: 3 (2.2s)

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

prune268.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize36.0ms

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)

rewrite32.0ms

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:

23.0ms	(* (cbrt x) (cbrt x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (cbrt x) (cbrt x))
281.0ms	(cbrt x)
277.0ms	(cbrt x)
278.0ms	(cbrt x)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

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

prune288.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes149.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.1b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	33
1	23	33
done	23	33

end0.0ms

sample3.3s

Algorithm

intervals

Results

1.6s	2234×	body	1280	valid
991.0ms	1726×	body	640	valid
181.0ms	874×	body	320	valid
137.0ms	2741×	body	80	valid
116.0ms	2751×	body	80	nan
44.0ms	425×	body	160	valid