Details

sample41.0ms

Algorithm

intervals

Results

8.0ms	180×	body	80	valid
7.0ms	30×	body	1280	valid
4.0ms	22×	body	640	valid
3.0ms	106×	body	80	nan
2.0ms	18×	body	320	valid
2.0ms	9×	body	1280	nan
1.0ms	10×	body	640	nan
1.0ms	6×	body	320	nan
0.0ms	6×	body	160	valid
0.0ms	2×	body	160	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	273
1	19	273
2	29	273
3	41	273
4	75	273
5	123	273
6	223	273
7	343	273
8	741	273
9	2335	273
done	5000	273

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize28.0ms

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)))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite145.0ms

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` `clear-num` `frac-2neg` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 108

Calls

4 calls:

61.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
23.0ms	(/ (- x y) (- 1.0 y))
31.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
27.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series376.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(- 1.0 (log (- 1.0 (/ (- x y) (- 1.0 y)))))
65.0ms	(/ (- x y) (- 1.0 y))
89.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
100.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.2s

Counts

120 → 120

Iterations

Useful iterations: 2 (512.0ms)

Iter	Nodes	Cost
0	204	40083
1	498	37078
2	1712	36310
done	5000	36310

prune477.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
3.4b	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

rewrite114.0ms

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` `times-frac` `flip3--` `add-cbrt-cube` `sqrt-div` `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:

29.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
28.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
27.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
28.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

series449.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
68.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
167.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))
155.0ms	(log (sqrt (- 1.0 (/ (- x y) (- 1.0 y)))))

simplify1.5s

Counts

88 → 88

Iterations

Useful iterations: 3 (627.0ms)

Iter	Nodes	Cost
0	114	35638
1	229	32168
2	655	31600
3	2790	31124
done	5000	31124

prune390.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.7b	(- 1.0 (/ (- x y) (- 1.0 y)))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))
3.4b	(log (- 1.0 (/ (- x y) (- 1.0 y))))

rewrite113.0ms

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×	`times-frac` `flip3--` `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:

27.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
28.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
27.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

series377.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(- 1.0 (/ (- x y) (- 1.0 y)))
96.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
103.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))
92.0ms	(log (- 1.0 (/ (- x y) (- 1.0 y))))

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: 3 (692.0ms)

Iter	Nodes	Cost
0	91	30887
1	198	28431
2	587	27703
3	2635	27545
done	5000	27545

prune367.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
3.2b	(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
4.3b	(+ (/ x y) (/ (* 1.0 x) (* y y)))
7.3b	(/ (* 1.0 x) (* y y))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
17×	`add-exp-log`
16×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
11×	`add-log-exp`
7×	`log-prod` `times-frac`
6×	`frac-sub`
5×	`pow1` `log-div` `add-cube-cbrt`
4×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares`
3×	`flip3-+` `frac-add` `flip-+` `distribute-lft-out`
2×	`sum-log` `distribute-rgt-out` `flip3--` `diff-log` `flip--`
1×	`+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `rem-log-exp` `distribute-rgt1-in` `associate--l+` `log-pow` `div-inv` `associate-/l`

Counts

4 → 79

Calls

4 calls:

128.0ms	(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
57.0ms	(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
16.0ms	(+ (/ x y) (/ (* 1.0 x) (* y y)))
14.0ms	(/ (* 1.0 x) (* y y))

series209.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y))
78.0ms	(log (- (+ (/ x y) (/ (* 1.0 x) (* y y))) (/ 1.0 y)))
58.0ms	(+ (/ x y) (/ (* 1.0 x) (* y y)))
35.0ms	(/ (* 1.0 x) (* y y))

simplify1.6s

Counts

91 → 91

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	174	37270
1	462	32725
2	2919	27977
done	5000	27938

prune332.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 18.5b

bsearch100.0ms

Steps

Iters	Range		Point
7	383123.6636286385	64260609.3427585	43744445.70071104
5	-83422883652835.42	-34132302576650.152	-34474611802046.883

simplify10.0ms

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	34	1395
1	37	1395
done	37	1395

end0.0ms

sample2.2s

Algorithm

intervals

Results

495.0ms	5674×	body	80	valid
493.0ms	345×	body	1280	nan
269.0ms	786×	body	1280	valid
216.0ms	826×	body	640	valid
159.0ms	3770×	body	80	nan
84.0ms	412×	body	640	nan
69.0ms	461×	body	320	valid
60.0ms	253×	body	160	valid
26.0ms	192×	body	320	nan
11.0ms	120×	body	160	nan