Details

sample100.0ms

Algorithm

intervals

Results

55.0ms	77×	body	1280	valid
19.0ms	50×	body	640	valid
4.0ms	27×	body	320	valid
4.0ms	93×	body	80	valid
3.0ms	97×	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: 38.6b

localize8.0ms

Local error

Found 1 expressions with local error:

3.2b	(log (+ 1.0 x))

rewrite12.0ms

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:

11.0ms

(log (+ 1.0 x))

series91.0ms

Counts

1 → 3

Calls

1 calls:

91.0ms

(log (+ 1.0 x))

simplify4.0s

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

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite159.0ms

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:

133.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
20.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

series115.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* x (+ 1.0 (/ -1/2 (/ (* 1.0 1.0) x))))
25.0ms	(/ -1/2 (/ (* 1.0 1.0) x))

simplify4.0s

Counts

77 → 77

Iterations

Useful iterations: 3 (2.1s)

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

prune207.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

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)
3.2b	(log (+ 1.0 x))

rewrite26.0ms

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:

6.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
7.0ms	(pow (log (+ 1.0 x)) 3)
10.0ms	(log (+ 1.0 x))

series235.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
109.0ms	(pow (log (+ 1.0 x)) 3)
69.0ms	(log (+ 1.0 x))

simplify880.0ms

Counts

72 → 72

Iterations

Useful iterations: done (878.0ms)

Iter	Nodes	Cost
0	158	981
1	396	806
2	1161	736
done	5000	727

prune155.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
0.3b	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
3.2b	(log (+ 1.0 x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
33×	`unpow-prod-down` `cube-prod`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`pow1`
9×	`log-pow`
7×	`add-exp-log`
6×	`pow-unpow`
5×	`cube-mult` `unpow3` `add-cbrt-cube` `sqr-pow`
4×	`log-prod` `add-log-exp`
3×	`pow-pow`
2×	`pow-to-exp` `log-div` `pow1/3` `pow-exp` `rem-cube-cbrt`
1×	`flip3-+` `rem-log-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

4 → 115

Calls

4 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
4.0ms	(pow (log (+ 1.0 x)) 3)
12.0ms	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
5.0ms	(log (+ 1.0 x))

series307.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
102.0ms	(pow (log (+ 1.0 x)) 3)
106.0ms	(pow (cbrt (pow (log (+ 1.0 x)) 3)) 3)
45.0ms	(log (+ 1.0 x))

simplify762.0ms

Counts

127 → 127

Iterations

Useful iterations: done (758.0ms)

Iter	Nodes	Cost
0	185	2062
1	465	1502
2	1255	1374
done	5000	1356

prune325.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes140.0ms

Accuracy

97.5% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	24
1	18	24
done	18	24

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.6s	2358×	body	1280	valid
593.0ms	2810×	body	80	valid
578.0ms	1603×	body	640	valid
143.0ms	829×	body	320	valid
109.0ms	2697×	body	80	nan
69.0ms	400×	body	160	valid