Details

sample76.0ms

Algorithm

intervals

Results

12.0ms	177×	body	80	valid
8.0ms	22×	body	1280	valid
7.0ms	134×	body	80	nan
7.0ms	27×	body	640	valid
3.0ms	19×	body	320	valid
3.0ms	12×	body	640	nan
2.0ms	7×	body	1280	nan
1.0ms	11×	body	160	valid
1.0ms	6×	body	320	nan
0.0ms	1×	body	160	nan

simplify95.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	19	12
2	29	12
3	41	12
4	54	12
5	62	12
6	70	12
7	85	12
8	103	12
9	116	12
done	116	12

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
5.1b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

59×	`add-sqr-sqrt`
51×	`*-un-lft-identity`
28×	`times-frac`
19×	`difference-of-squares`
18×	`add-cube-cbrt`
17×	`distribute-lft-out--`
12×	`log-prod`
7×	`add-exp-log` `add-log-exp`
6×	`pow1` `flip3--` `add-cbrt-cube` `flip--` `associate--r+`
5×	`associate-/r` `associate-/l`
4×	`log-div`
3×	`associate--r-`
2×	`sub-neg` `diff-log` `div-sub` `associate-/r/` `log-pow` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 108

Calls

4 calls:

42.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
25.0ms	(/ (- x y) (- 1.0 y))
34.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
39.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series402.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
63.0ms	(/ (- x y) (- 1.0 y))
90.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
113.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.8s

Counts

120 → 120

Iterations

Useful iterations: 3 (902.0ms)

Iter	Nodes	Cost
0	205	1894
1	489	1792
2	1226	1680
3	3267	1671
done	5000	1671

prune409.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (- 1.0 y))
0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.1b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

101×	`add-sqr-sqrt`
77×	`*-un-lft-identity`
69×	`times-frac`
37×	`add-cube-cbrt`
28×	`difference-of-squares`
24×	`log-prod`
20×	`distribute-lft-out--`
11×	`associate-/r*`
9×	`add-exp-log`
8×	`add-cbrt-cube` `associate-/l*`
6×	`associate-/r/` `add-log-exp`
5×	`pow1` `flip3--` `flip--`
3×	`div-exp` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/l/`
1×	`sub-neg` `log-div` `diff-log` `log-pow` `associate--r-`

Counts

4 → 144

Calls

4 calls:

35.0ms	(/ (- x y) (- 1.0 y))
55.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
119.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
36.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series486.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (- x y) (- 1.0 y))
177.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
188.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
80.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.3s

Counts

156 → 156

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	267	2917
1	622	2789
2	1550	2647
3	4003	2594
done	5000	2594

prune626.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
18×	`log-prod`
16×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`pow1` `add-cube-cbrt` `add-log-exp` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `sqrt-pow1` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`

Counts

4 → 76

Calls

4 calls:

37.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
54.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
35.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
40.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series516.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
64.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
172.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
201.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify2.3s

Counts

88 → 88

Iterations

Useful iterations: 4 (1.1s)

Iter	Nodes	Cost
0	114	1602
1	229	1526
2	502	1394
3	1233	1378
4	4271	1374
done	5000	1374

prune288.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
4.9b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
4.9b	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

rewrite569.0ms

Algorithm

rewrite-expression-head

Rules

54×	`cbrt-div`
30×	`flip3--` `flip--`
28×	`frac-times` `log-div` `sqrt-div`
27×	`pow1`
22×	`add-sqr-sqrt`
20×	`log-pow`
16×	`sqrt-pow1`
14×	`associate-*l/`
13×	`log-prod` `*-un-lft-identity`
9×	`pow1/3` `pow-prod-up`
8×	`associate-*r/` `add-log-exp`
7×	`add-cube-cbrt` `sqrt-prod`
6×	`add-exp-log` `pow-plus` `difference-of-squares`
5×	`pow-prod-down`
4×	`add-cbrt-cube`
3×	`times-frac` `pow-sqr` `distribute-lft-out--`
2×	`pow2` `sub-neg` `pow1/2` `diff-log` `div-sub` `rem-log-exp` `associate--r-`
1×	`pow3`

Counts

4 → 109

Calls

4 calls:

55.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
35.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
36.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
438.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

series506.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
84.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
190.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
160.0ms	(log (sqrt (* (* (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y))))) (cbrt (- 1.0 (/ (- x y) (- 1.0 y)))))))

simplify2.8s

Counts

121 → 121

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	263	4492
1	421	4110
2	708	3399
3	1453	3317
4	4834	3313
done	5002	3313

prune492.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

98.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 18.2b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	53
1	26	53
done	26	53

end0.0ms

sample2.2s

Algorithm

intervals

Results

518.0ms	5703×	body	80	valid
367.0ms	789×	body	1280	valid
245.0ms	832×	body	640	valid
195.0ms	3654×	body	80	nan
191.0ms	349×	body	1280	nan
82.0ms	377×	body	640	nan
80.0ms	436×	body	320	valid
56.0ms	97×	body	160	nan
37.0ms	219×	body	320	nan
30.0ms	240×	body	160	valid