Details

sample110.0ms

Algorithm

intervals

Results

52.0ms	106×	body	1280	valid
23.0ms	88×	body	640	valid
13.0ms	272×	body	80	nan
5.0ms	33×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	6×	body	80	valid

simplify84.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	12
1	18	12
2	24	12
3	39	12
4	62	12
5	89	12
6	110	12
7	121	12
8	123	12
done	123	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
6.6b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`associate-/r/` `add-cbrt-cube` `associate-/l*`
3×	`pow1`
2×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `flip--` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `log-div` `frac-2neg` `flip3-+` `clear-num` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

17.0ms	(/ (+ 1.0 x) (- 1.0 x))
7.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series175.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (+ 1.0 x) (- 1.0 x))
136.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify2.1s

Counts

92 → 92

Iterations

Useful iterations: 3 (421.0ms)

Iter	Nodes	Cost
0	146	1310
1	333	1243
2	1013	1182
3	4472	1136
done	5000	1136

prune217.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune3.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (+ 1.0 x))
0.0b	(cbrt (+ 1.0 x))
6.6b	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity`
48×	`log-prod`
40×	`add-sqr-sqrt`
35×	`times-frac`
32×	`cbrt-prod`
26×	`add-cube-cbrt`
8×	`add-exp-log` `distribute-lft-out`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3-+` `pow1/3` `rem-log-exp` `log-pow` `flip-+`
2×	`associate-/r/`
1×	`flip3--` `div-exp` `flip--` `div-inv`

Counts

4 → 107

Calls

4 calls:

2.0ms	(cbrt (+ 1.0 x))
7.0ms	(cbrt (+ 1.0 x))
8.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ 1.0 x))
100.0ms	(cbrt (+ 1.0 x))
194.0ms	(log (/ (cbrt (+ 1.0 x)) (- 1.0 x)))
142.0ms	(log (cbrt (+ 1.0 x)))

simplify589.0ms

Counts

119 → 119

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	263	1825
1	565	1715
2	1673	1616
done	5000	1616

prune358.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x))
6.6b	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
6.6b	(log (cbrt (+ 1.0 x)))
6.7b	(log (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity`
126×	`cbrt-prod`
104×	`add-sqr-sqrt`
100×	`times-frac`
67×	`log-prod`
62×	`add-cube-cbrt`
26×	`cbrt-div`
21×	`distribute-lft-out--` `difference-of-squares`
12×	`distribute-lft-out`
11×	`add-exp-log` `log-div`
10×	`associate-/l*`
8×	`flip3-+` `flip-+`
7×	`pow1`
5×	`associate-/r*` `log-pow` `add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `rem-log-exp` `associate-/r/` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r/` `div-exp` `associate-l/` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `clear-num`

Counts

4 → 197

Calls

4 calls:

15.0ms	(/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x))
9.0ms	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
3.0ms	(log (cbrt (+ 1.0 x)))
7.0ms	(log (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))

series647.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x))
221.0ms	(log (/ (cbrt (cbrt (+ 1.0 x))) (- 1.0 x)))
144.0ms	(log (cbrt (+ 1.0 x)))
139.0ms	(log (cbrt (* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))))

simplify754.0ms

Counts

209 → 209

Iterations

Useful iterations: 2 (265.0ms)

Iter	Nodes	Cost
0	403	3950
1	807	3766
2	2224	3571
done	5000	3571

prune824.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes22.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	17	22
done	17	22

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.6s	3355×	body	1280	valid
672.0ms	2529×	body	640	valid
254.0ms	8067×	body	80	nan
200.0ms	1246×	body	320	valid
65.0ms	662×	body	160	valid
10.0ms	208×	body	80	valid