Details

sample111.0ms

Algorithm

intervals

Results

56.0ms	109×	body	1280	valid
23.0ms	78×	body	640	valid
7.0ms	218×	body	80	nan
6.0ms	36×	body	320	valid
2.0ms	25×	body	160	valid
0.0ms	8×	body	80	valid

simplify31.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	15	8
2	20	8
3	23	8
done	23	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
7.1b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite55.0ms

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-/l*`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
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` `flip3--` `frac-2neg` `div-sub` `clear-num` `log-pow` `flip--`

Counts

2 → 87

Calls

2 calls:

35.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
15.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series185.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
151.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	147	1318
1	355	1247
2	881	1184
3	2180	1154
done	5001	1137

prune345.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize11.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune18.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 eps))
0.0b	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
7.1b	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
7.2b	(log (sqrt (- 1.0 eps)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

99×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
64×	`times-frac`
55×	`sqrt-prod`
46×	`log-prod`
43×	`add-cube-cbrt`
17×	`distribute-lft-out`
11×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log`
8×	`pow1` `associate-/l*`
6×	`sqrt-div` `add-cbrt-cube`
4×	`expm1-log1p-u` `associate-/r*` `associate-/r/` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-div` `flip3--` `rem-log-exp` `flip--`
2×	`sqrt-pow1` `flip3-+` `pow1/2` `div-exp` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num`

Counts

4 → 155

Calls

4 calls:

10.0ms	(sqrt (- 1.0 eps))
43.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
17.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
11.0ms	(log (sqrt (- 1.0 eps)))

series510.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(sqrt (- 1.0 eps))
110.0ms	(/ (sqrt (- 1.0 eps)) (+ 1.0 eps))
243.0ms	(log (/ (sqrt (- 1.0 eps)) (+ 1.0 eps)))
108.0ms	(log (sqrt (- 1.0 eps)))

simplify2.8s

Counts

167 → 167

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	265	2568
1	576	2357
2	1471	2219
3	4869	2180
done	5000	2180

prune552.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 eps))
7.2b	(log (+ 1.0 eps))
7.2b	(log (sqrt (- 1.0 eps)))
7.2b	(log (sqrt (- 1.0 eps)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`log-prod`
18×	`*-un-lft-identity`
17×	`add-sqr-sqrt`
15×	`sqrt-prod`
10×	`pow1` `add-cube-cbrt`
7×	`add-exp-log` `log-pow`
6×	`log-div` `sqrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `sqrt-pow1` `pow1/2` `rem-log-exp` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`rem-sqrt-square` `flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 82

Calls

4 calls:

18.0ms	(sqrt (- 1.0 eps))
5.0ms	(log (+ 1.0 eps))
6.0ms	(log (sqrt (- 1.0 eps)))
7.0ms	(log (sqrt (- 1.0 eps)))

series357.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(sqrt (- 1.0 eps))
60.0ms	(log (+ 1.0 eps))
124.0ms	(log (sqrt (- 1.0 eps)))
112.0ms	(log (sqrt (- 1.0 eps)))

simplify1.4s

Counts

94 → 94

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	139	936
1	283	868
2	620	786
3	1427	783
done	5000	756

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

regimes48.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
done	9	16

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.3s	3377×	body	1280	valid
880.0ms	8039×	body	80	nan
876.0ms	2445×	body	640	valid
293.0ms	1278×	body	320	valid
84.0ms	685×	body	160	valid
63.0ms	215×	body	80	valid