Details

sample82.0ms

Algorithm

intervals

Results

24.0ms	302×	body	80	nan
17.0ms	278×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.9b

localize17.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ A (* V l))))
3.4b	(/ A (* V l))
17.2b	(sqrt (/ A (* V l)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
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` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 72

Calls

3 calls:

57.0ms	(* c0 (sqrt (/ A (* V l))))
14.0ms	(/ A (* V l))
13.0ms	(sqrt (/ A (* V l)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

100.0ms	(* c0 (sqrt (/ A (* V l))))
37.0ms	(/ A (* V l))
59.0ms	(sqrt (/ A (* V l)))

simplify4.5s

Counts

81 → 81

Iterations

Iter	Nodes
done	5000
3	2081
2	622
1	222
0	109

prune875.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 1 (* V l))
1.3b	(* c0 (sqrt (* A (/ 1 (* V l)))))
3.7b	(* A (/ 1 (* V l)))
17.2b	(sqrt (* A (/ 1 (* V l))))

rewrite282.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`pow1` `prod-exp`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`div-exp`
6×	`times-frac` `associate-l` `cbrt-unprod`
5×	`associate-*r/`
4×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `sqrt-div` `1-exp` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv` `associate-/l*`
2×	`pow-flip` `sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 102

Calls

4 calls:

24.0ms	(/ 1 (* V l))
134.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
72.0ms	(* A (/ 1 (* V l)))
41.0ms	(sqrt (* A (/ 1 (* V l))))

series211.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (* V l))
90.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
42.0ms	(* A (/ 1 (* V l)))
53.0ms	(sqrt (* A (/ 1 (* V l))))

simplify2.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5004
2	1054
1	311
0	133

prune869.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.7b

localize57.0ms

Local error

Found 4 expressions with local error:

7.7b	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
19.0b	(cbrt (/ A (* V l)))
19.0b	(cbrt (/ A (* V l)))
19.0b	(cbrt (/ A (* V l)))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `times-frac` `pow1/3`
7×	`cbrt-div`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `pow1/2` `associate-r/` `associate-l/` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

20.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
10.0ms	(cbrt (/ A (* V l)))
49.0ms	(cbrt (/ A (* V l)))
9.0ms	(cbrt (/ A (* V l)))

series809.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
194.0ms	(cbrt (/ A (* V l)))
177.0ms	(cbrt (/ A (* V l)))
201.0ms	(cbrt (/ A (* V l)))

simplify3.5s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
4	2947
3	830
2	280
1	154
0	98

prune1.2s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.7b

localize94.0ms

Local error

Found 4 expressions with local error:

7.7b	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
13.1b	(cbrt (/ 1 (* V l)))
19.0b	(cbrt (/ A (* V l)))
19.0b	(cbrt (/ A (* V l)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`pow1`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-pow1` `times-frac` `pow1/3`
7×	`cbrt-div`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `pow1/2` `associate-r/` `associate-l/` `sqrt-prod`

Counts

4 → 78

Calls

4 calls:

22.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
28.0ms	(cbrt (/ 1 (* V l)))
9.0ms	(cbrt (/ A (* V l)))
10.0ms	(cbrt (/ A (* V l)))

series619.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
123.0ms	(cbrt (/ 1 (* V l)))
161.0ms	(cbrt (/ A (* V l)))
178.0ms	(cbrt (/ A (* V l)))

simplify4.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	4696
3	1437
2	513
1	212
0	129

prune1.0s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 4.4b

regimes1.7s

Accuracy

33.9% (5.5b remaining)

Error of 9.8b against oracle of 4.3b and baseline of 12.6b

bsearch2.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.1s	8904×	body	80	nan
692.0ms	8888×	body	80	valid