Details

sample51.0ms

Algorithm

intervals

Results

17.0ms	305×	body	80	nan
11.0ms	294×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	8

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.3b

localize16.0ms

Local error

Found 3 expressions with local error:

1.1b	(* c0 (sqrt (/ A (* V l))))
5.8b	(/ A (* V l))
18.4b	(sqrt (/ A (* V l)))

rewrite47.0ms

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:

34.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series151.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(* c0 (sqrt (/ A (* V l))))
34.0ms	(/ A (* V l))
36.0ms	(sqrt (/ A (* V l)))

simplify2.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	3823
2	807
1	221
0	105

prune555.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.7b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt A) (cbrt A))
1.1b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.3b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
32×	`associate-r`
29×	`*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
28×	`times-frac`
27×	`cbrt-prod`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`associate-l`
11×	`unswap-sqr`
10×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1/3` `sqrt-div` `swap-sqr` `associate-*r/`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`frac-times` `associate-l/` `-commutative`
2×	`sqrt-pow1` `pow-sqr` `pow-prod-up` `sqrt-prod` `div-inv`
1×	`pow2` `pow-plus` `pow1/2`

Counts

4 → 135

Calls

4 calls:

10.0ms	(* (cbrt A) (cbrt A))
77.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
62.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
43.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

341.0ms	(* (cbrt A) (cbrt A))
112.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
75.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
66.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify3.0s

Counts

147 → 147

Iterations

Iter	Nodes
done	5000
2	4154
1	612
0	210

prune958.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.0b

localize113.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
18.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
18.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
18.4b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`associate-r`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-cbrt-cube`
15×	`pow1`
11×	`cbrt-prod`
9×	`sqrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`sqrt-pow1` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `add-log-exp`
3×	`pow1/2` `sqrt-prod`
2×	`div-inv`
1×	`*-commutative`

Counts

4 → 101

Calls

4 calls:

41.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
23.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
34.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
25.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series303.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
58.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
85.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
92.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.3s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	2744
1	435
0	146

prune878.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

localize18.0ms

Local error

Found 3 expressions with local error:

1.1b	(* c0 (sqrt (* (/ A V) (/ 1 l))))
4.8b	(* (/ A V) (/ 1 l))
18.4b	(sqrt (* (/ A V) (/ 1 l)))

rewrite112.0ms

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×	`sqrt-div` `div-exp`
7×	`associate-*r/` `unswap-sqr`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`frac-times` `pow-prod-down` `associate-*l/` `un-div-inv` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 95

Calls

3 calls:

63.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
35.0ms	(* (/ A V) (/ 1 l))
7.0ms	(sqrt (* (/ A V) (/ 1 l)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
36.0ms	(* (/ A V) (/ 1 l))
60.0ms	(sqrt (* (/ A V) (/ 1 l)))

simplify2.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	2558
1	463
0	164

prune527.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 5.0b

regimes1.4s

Accuracy

40.8% (8.1b remaining)

Error of 12.4b against oracle of 4.3b and baseline of 17.9b

bsearch3.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	40
1	40
0	29

end0.0ms

sample1.9s

Algorithm

intervals

Results

531.0ms	8901×	body	80	valid
477.0ms	8751×	body	80	nan