Details

sample39.0ms

Algorithm

intervals

Results

9.0ms	287×	body	80	valid
9.0ms	289×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 66

Calls

3 calls:

40.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series146.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify1.5s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	2759
2	643
1	221
0	105

prune493.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 8.6b

localize16.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.2b	(* (/ 1 V) (/ A l))
16.6b	(sqrt (* (/ 1 V) (/ A l)))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`add-cbrt-cube` `associate-r`
16×	`associate-l`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 92

Calls

3 calls:

52.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
32.0ms	(* (/ 1 V) (/ A l))
12.0ms	(sqrt (* (/ 1 V) (/ A l)))

series233.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
34.0ms	(* (/ 1 V) (/ A l))
100.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify2.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5007
3	4287
2	1306
1	442
0	162

prune617.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.4b

localize26.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ A (* V l))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))
16.6b	(sqrt (/ A (* V l)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

12.0ms	(/ A (* V l))
11.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
10.0ms	(sqrt (/ A (* V l)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ A (* V l))
25.0ms	(/ A (* V l))
41.0ms	(sqrt (/ A (* V l)))
57.0ms	(sqrt (/ A (* V l)))

simplify5.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	4718
3	1352
2	394
1	137
0	72

prune655.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.4b

localize93.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 79

Calls

4 calls:

49.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
3.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series454.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
146.0ms	(cbrt (/ A (* V l)))
118.0ms	(cbrt (/ A (* V l)))
120.0ms	(cbrt (/ A (* V l)))

simplify1.9s

Counts

91 → 91

Iterations

Iter	Nodes
done	5040
4	2335
3	710
2	329
1	188
0	120

prune601.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.4b

regimes1.7s

Accuracy

42.1% (8.4b remaining)

Error of 12.7b against oracle of 4.3b and baseline of 18.8b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample1.7s

Algorithm

intervals

Results

458.0ms	8927×	body	80	valid
416.0ms	8855×	body	80	nan