Details

sample87.0ms

Algorithm

intervals

Results

17.0ms	189×	body	80	valid
10.0ms	28×	body	640	valid
9.0ms	133×	body	80	nan
8.0ms	18×	body	1280	valid
6.0ms	15×	body	320	valid
5.0ms	13×	body	1280	nan
2.0ms	7×	body	640	nan
1.0ms	6×	body	160	valid
1.0ms	3×	body	320	nan
0.0ms	1×	body	160	nan

simplify173.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize20.0ms

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))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.8b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite205.0ms

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:

48.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms	(/ (- x y) (- 1.0 y))
52.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
53.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series418.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
76.0ms	(/ (- x y) (- 1.0 y))
84.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
111.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.0s

Counts

120 → 120

Iterations

Useful iterations: 3 (1.1s)

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

prune302.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
2.8b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
3.9b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
21×	`associate-r`
17×	`times-frac`
16×	`add-cube-cbrt`
14×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`pow1`
7×	`flip3--` `flip--` `add-log-exp`
6×	`log-prod` `distribute-lft-out--`
5×	`associate-l` `difference-of-squares`
4×	`log-div` `prod-exp`
3×	`associate--r+` `unswap-sqr`
2×	`frac-times` `sub-neg` `diff-log` `div-exp` `associate-*l/` `associate-/r/` `log-pow` `cbrt-unprod` `associate--r-`
1×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r/` `rem-log-exp` `pow-prod-down` `un-div-inv` `-commutative` `div-inv`

Counts

4 → 96

Calls

4 calls:

15.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
67.0ms	(* (- x y) (/ 1 (- 1.0 y)))
11.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
6.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series330.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- 1.0 (log (- 1.0 (* (- x y) (/ 1 (- 1.0 y))))))
46.0ms	(* (- x y) (/ 1 (- 1.0 y)))
96.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
69.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify3.0s

Counts

108 → 108

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	212	1817
1	509	1465
2	1476	1319
3	4889	1311
done	5000	1311

prune354.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
0.0b	(/ (- x y) (- 1.0 y))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite206.0ms

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:

38.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
29.0ms	(/ (- x y) (- 1.0 y))
96.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
33.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(log (/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y)))))
43.0ms	(/ (- x y) (- 1.0 y))
132.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
61.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify2.4s

Counts

156 → 156

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	267	2917
1	622	2789
2	1546	2647
3	4000	2594
done	5000	2594

prune489.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
0.2b	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))
2.2b	(- 1.0 (/ (- x y) (- 1.0 y)))

rewrite308.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
46×	`*-un-lft-identity` `times-frac`
26×	`add-cube-cbrt`
20×	`difference-of-squares`
12×	`associate-/r*`
10×	`distribute-lft-out--`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log` `associate-/l*`
4×	`pow1` `flip3--` `associate-/r/` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `associate--r-`

Counts

4 → 114

Calls

4 calls:

103.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
97.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
38.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
63.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
145.0ms	(/ (exp 1.0) (- 1.0 (/ (- x y) (- 1.0 y))))
62.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
73.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))

simplify1.3s

Counts

126 → 126

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	124	2470
1	270	2414
2	675	2260
3	1633	2230
done	5001	2210

prune600.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes249.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 18.9b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	39
1	25	39
done	25	39

end0.0ms

sample2.2s

Algorithm

intervals

Results

686.0ms	5631×	body	80	valid
378.0ms	870×	body	1280	valid
196.0ms	796×	body	640	valid
188.0ms	3620×	body	80	nan
89.0ms	224×	body	320	nan
82.0ms	363×	body	1280	nan
68.0ms	455×	body	320	valid
63.0ms	366×	body	640	nan
53.0ms	248×	body	160	valid
12.0ms	139×	body	160	nan