Details

sample63.0ms

Algorithm

intervals

Results

23.0ms	53×	body	1280	valid
14.0ms	59×	body	640	valid
7.0ms	161×	body	80	valid
3.0ms	24×	body	320	valid
3.0ms	89×	body	80	nan
1.0ms	15×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	8	11
1	15	11
2	24	9
3	51	9
4	100	9
5	235	9
6	561	9
7	1647	9
done	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (+ x y))
0.1b	(* x (log (/ x (+ x y))))
6.9b	(log (/ x (+ x y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

64×	`*-un-lft-identity`
54×	`log-prod`
48×	`times-frac`
40×	`add-sqr-sqrt`
38×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in`
13×	`distribute-lft-out`
10×	`add-exp-log`
8×	`associate-/r/`
7×	`pow1` `add-cbrt-cube`
4×	`flip3-+` `associate-r` `associate-/r*` `flip-+` `div-inv`
3×	`associate-l` `associate-/l*` `add-log-exp`
2×	`div-exp` `rem-log-exp` `log-pow`
1×	`cbrt-undiv` `log-div` `frac-2neg` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 117

Calls

3 calls:

5.0ms	(/ x (+ x y))
11.0ms	(* x (log (/ x (+ x y))))
4.0ms	(log (/ x (+ x y)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ x (+ x y))
81.0ms	(* x (log (/ x (+ x y))))
53.0ms	(log (/ x (+ x y)))

simplify2.6s

Counts

126 → 126

Iterations

Useful iterations: 4 (1.6s)

Iter	Nodes	Cost
0	167	1600
1	292	1512
2	606	1427
3	1540	1384
4	4476	1381
done	5000	1381

prune252.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.6b	(log (/ (cbrt x) (cbrt (+ x y))))
1.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod` `log-prod`
84×	`*-un-lft-identity` `times-frac`
60×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `rem-log-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
2×	`log-div` `flip3-+` `pow1/3` `div-exp` `log-pow` `flip-+` `div-inv`

Counts

4 → 140

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series508.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt x)
179.0ms	(cbrt x)
71.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
74.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify1.5s

Counts

152 → 152

Iterations

Useful iterations: 4 (827.0ms)

Iter	Nodes	Cost
0	173	2258
1	309	2144
2	562	2014
3	1212	1940
4	2558	1936
done	5000	1936

prune494.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.6b	(log (/ (cbrt x) (cbrt (+ x y))))
29.7b	(log (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt (+ x y))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

61×	`log-prod`
55×	`cbrt-prod`
50×	`*-un-lft-identity`
49×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
17×	`add-exp-log`
7×	`distribute-lft-out`
6×	`pow1` `rem-log-exp`
4×	`cbrt-div` `div-exp` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`prod-exp`
2×	`log-div` `flip3-+` `pow1/3` `log-pow` `flip-+` `div-inv`

Counts

4 → 107

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
18.0ms	(log (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt (+ x y))))

series491.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt x)
171.0ms	(cbrt x)
71.0ms	(log (/ (cbrt x) (cbrt (+ x y))))
74.0ms	(log (/ (* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (cbrt (cbrt x))) (cbrt (+ x y))))

simplify2.2s

Counts

119 → 119

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	194	1771
1	343	1700
2	650	1467
3	1575	1356
4	4100	1354
done	5000	1354

prune467.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.8b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
35.3b	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
111×	`log-prod`
92×	`cbrt-div`
88×	`*-un-lft-identity`
72×	`cbrt-prod`
58×	`associate-/r/`
52×	`add-sqr-sqrt` `add-cube-cbrt`
46×	`flip3-+` `flip-+`
28×	`frac-times`
18×	`distribute-lft-out`
14×	`add-exp-log` `associate-r/` `associate-l/`
8×	`div-inv`
5×	`pow1` `div-exp`
4×	`rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`log-div` `prod-exp` `log-pow`

Counts

4 → 166

Calls

4 calls:

2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
17.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

series471.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(cbrt (+ x y))
128.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))
71.0ms	(log (/ (/ x (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y))))

simplify761.0ms

Counts

178 → 178

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	392	4880
1	796	4695
2	1881	4388
done	5001	4388

prune552.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.8b

regimes50.0ms

Accuracy

40.1% (2.6b remaining)

Error of 3.9b against oracle of 1.2b and baseline of 5.6b

bsearch69.0ms

Steps

Iters	Range		Point
9	20163573.119074974	632689240436385.8	1564109357.3757057

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	65
1	36	65
done	36	65

end0.0ms

sample1.8s

Algorithm

intervals

Results

675.0ms	1562×	body	1280	valid
367.0ms	1481×	body	640	valid
201.0ms	4851×	body	80	valid
129.0ms	819×	body	320	valid
92.0ms	3062×	body	80	nan
47.0ms	460×	body	160	valid