Details

sample46.0ms

Algorithm

intervals

Results

10.0ms	314×	body	80	nan
10.0ms	294×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize25.0ms

Local error

Found 3 expressions with local error:

2.5b	(* c0 (sqrt (/ A (* V l))))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))

rewrite48.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 72

Calls

3 calls:

33.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series149.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(* c0 (sqrt (/ A (* V l))))
32.0ms	(/ A (* V l))
49.0ms	(sqrt (/ A (* V l)))

simplify2.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	4743
2	895
1	225
0	111

prune495.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize25.0ms

Local error

Found 3 expressions with local error:

2.5b	(* (sqrt (/ A (* V l))) c0)
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-l` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `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-l/` `*-commutative`

Counts

3 → 72

Calls

3 calls:

45.0ms	(* (sqrt (/ A (* V l))) c0)
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

117.0ms	(* (sqrt (/ A (* V l))) c0)
22.0ms	(/ A (* V l))
60.0ms	(sqrt (/ A (* V l)))

simplify1.2s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
2	1404
1	257
0	121

prune514.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.9b

localize24.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ A (* V l))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))
16.0b	(sqrt (/ A (* V l)))

rewrite50.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `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 → 86

Calls

4 calls:

17.0ms	(/ A (* V l))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
8.0ms	(sqrt (/ A (* V l)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ A (* V l))
33.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))
54.0ms	(sqrt (/ A (* V l)))

simplify4.1s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	2302
2	482
1	141
0	76

prune846.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

localize68.0ms

Local error

Found 4 expressions with local error:

3.7b	(sqrt (sqrt (/ A (* V l))))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))
16.0b	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

40×	`sqrt-prod`
26×	`times-frac`
20×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`sqrt-pow1`
5×	`rem-sqrt-square` `div-inv`
4×	`expm1-log1p-u` `pow1/2` `sqrt-div` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`clear-num` `associate-/r*` `frac-2neg` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

13.0ms	(sqrt (sqrt (/ A (* V l))))
11.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
19.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series448.0ms

Counts

4 → 12

Calls

4 calls:

252.0ms	(sqrt (sqrt (/ A (* V l))))
37.0ms	(/ A (* V l))
62.0ms	(sqrt (/ A (* V l)))
97.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	5000
2	1227
1	343
0	193

prune957.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

regimes1.5s

Accuracy

54.8% (5.7b remaining)

Error of 12.3b against oracle of 6.6b and baseline of 19.2b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	43
1	43
0	34

end0.0ms

sample1.8s

Algorithm

intervals

Results

508.0ms	8882×	body	80	valid
461.0ms	8933×	body	80	nan