Details

sample103.0ms

Algorithm

intervals

Results

24.0ms	35×	body	1280	valid
15.0ms	176×	body	80	valid
8.0ms	124×	body	80	nan
8.0ms	25×	body	640	valid
5.0ms	18×	body	640	nan
4.0ms	16×	body	320	valid
3.0ms	7×	body	1280	nan
1.0ms	6×	body	320	nan
1.0ms	5×	body	160	nan
1.0ms	4×	body	160	valid

simplify2.6s

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	75	12
5	124	12
6	208	12
7	320	12
8	772	12
9	3045	12
done	5001	12

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize26.0ms

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))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite251.0ms

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:

68.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
40.0ms	(/ (- x y) (- 1.0 y))
66.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
67.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
69.0ms	(/ (- x y) (- 1.0 y))
84.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
139.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.4s

Counts

120 → 120

Iterations

Useful iterations: 2 (428.0ms)

Iter	Nodes	Cost
0	205	1894
1	498	1792
2	1722	1680
done	5000	1680

prune840.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 y))
0.1b	(* (- x y) (/ 1 (- 1.0 y)))
3.9b	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
4.8b	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
42×	`*-un-lft-identity`
32×	`times-frac`
25×	`add-cube-cbrt`
21×	`associate-r`
18×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-l` `associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`log-prod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `log-div` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `rem-log-exp` `pow-prod-down` `clear-num` `log-pow` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 117

Calls

4 calls:

26.0ms	(/ 1 (- 1.0 y))
99.0ms	(* (- x y) (/ 1 (- 1.0 y)))
8.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
21.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

series388.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1 (- 1.0 y))
76.0ms	(* (- x y) (/ 1 (- 1.0 y)))
170.0ms	(log (- 1.0 (* (- x y) (/ 1 (- 1.0 y)))))
99.0ms	(- 1.0 (* (- x y) (/ 1 (- 1.0 y))))

simplify6.5s

Counts

129 → 129

Iterations

Useful iterations: done (6.5s)

Iter	Nodes	Cost
0	205	1754
1	508	1551
2	3381	1279
done	5000	1277

prune649.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 67

Calls

4 calls:

65.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
57.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
56.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
63.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
135.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
141.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
136.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.8s

Counts

79 → 79

Iterations

Useful iterations: 2 (136.0ms)

Iter	Nodes	Cost
0	91	1427
1	198	1376
2	586	1229
3	2633	1229
done	5002	1229

prune642.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.9b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite286.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
18×	`log-prod`
15×	`*-un-lft-identity`
8×	`difference-of-squares`
7×	`pow1` `add-exp-log` `add-cube-cbrt`
6×	`log-div` `add-log-exp`
4×	`flip3--` `times-frac` `add-cbrt-cube` `flip--` `distribute-lft-out--`
3×	`rem-log-exp` `log-pow`
1×	`sub-neg` `diff-log` `div-sub` `associate--r-`

Counts

4 → 67

Calls

4 calls:

69.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
67.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
75.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
70.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series528.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
147.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
142.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
153.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify2.0s

Counts

79 → 79

Iterations

Useful iterations: 2 (137.0ms)

Iter	Nodes	Cost
0	91	1427
1	198	1376
2	586	1229
3	2633	1229
done	5002	1229

prune735.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes516.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 17.4b

bsearch267.0ms

Steps

Iters	Range		Point
10	0.013914501587729765	3.228446721930518e+16	106063957.48696265
8	-1.1067698676223754e+18	-1112375351328255.6	-1123308855491800.2

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	27	58
1	35	41
done	35	41

end0.0ms

sample3.5s

Algorithm

intervals

Results

762.0ms	769×	body	640	valid
581.0ms	817×	body	1280	valid
561.0ms	5750×	body	80	valid
390.0ms	3790×	body	80	nan
194.0ms	372×	body	1280	nan
159.0ms	376×	body	640	nan
104.0ms	426×	body	320	valid
48.0ms	219×	body	320	nan
38.0ms	238×	body	160	valid
17.0ms	127×	body	160	nan