Details

sample38.0ms

Algorithm

intervals

Results

8.0ms	298×	body	80	valid
7.0ms	296×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	4
1	14	4
2	14	4
done	14	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.2b

localize7.0ms

Local error

Found 3 expressions with local error:

1.9b	(* c0 (sqrt (/ A (* V l))))
3.7b	(/ A (* V l))
18.3b	(sqrt (/ A (* V l)))

rewrite41.0ms

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:

25.0ms	(* c0 (sqrt (/ A (* V l))))
8.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series107.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))

simplify65.0ms

Counts

81 → 81

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	215	345
1	819	320
2	3061	317
3	5001	317
done	5001	317

prune204.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.5b

localize11.0ms

Local error

Found 3 expressions with local error:

1.9b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.1b	(* (/ 1 V) (/ A l))
18.3b	(sqrt (* (/ 1 V) (/ A l)))

rewrite72.0ms

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×	`associate-r` `add-cbrt-cube`
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×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 98

Calls

3 calls:

36.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
23.0ms	(* (/ 1 V) (/ A l))
10.0ms	(sqrt (* (/ 1 V) (/ A l)))

series129.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
23.0ms	(* (/ 1 V) (/ A l))
54.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	424	535
1	1846	470
2	5001	444
done	5001	444

prune247.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 3 expressions with local error:

1.9b	(* (sqrt (* (/ 1 V) (/ A l))) c0)
4.1b	(* (/ 1 V) (/ A l))
18.3b	(sqrt (* (/ 1 V) (/ A l)))

rewrite79.0ms

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×	`associate-l` `add-cbrt-cube`
16×	`associate-r`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*l/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `frac-times` `associate-*r/` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 98

Calls

3 calls:

44.0ms	(* (sqrt (* (/ 1 V) (/ A l))) c0)
23.0ms	(* (/ 1 V) (/ A l))
10.0ms	(sqrt (* (/ 1 V) (/ A l)))

series180.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(* (sqrt (* (/ 1 V) (/ A l))) c0)
24.0ms	(* (/ 1 V) (/ A l))
53.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	428	537
1	1868	471
2	5001	445
done	5001	445

prune254.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.5b

localize11.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ 1 V) (/ A l))
4.1b	(* (/ 1 V) (/ A l))
18.3b	(sqrt (* (/ 1 V) (/ A l)))
18.3b	(sqrt (* (/ 1 V) (/ A l)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
50×	`times-frac`
48×	`add-exp-log`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
28×	`add-cbrt-cube`
26×	`associate-r` `associate-l`
16×	`div-exp` `prod-exp`
14×	`pow1`
12×	`unswap-sqr`
8×	`cbrt-undiv` `cbrt-unprod`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `rec-exp` `sqrt-pow1` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `sqrt-prod` `*-commutative`

Counts

4 → 148

Calls

4 calls:

25.0ms	(* (/ 1 V) (/ A l))
23.0ms	(* (/ 1 V) (/ A l))
10.0ms	(sqrt (* (/ 1 V) (/ A l)))
13.0ms	(sqrt (* (/ 1 V) (/ A l)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (/ 1 V) (/ A l))
20.0ms	(* (/ 1 V) (/ A l))
58.0ms	(sqrt (* (/ 1 V) (/ A l)))
53.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify43.0ms

Counts

160 → 160

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	357	762
1	1561	656
2	5001	604
done	5001	604

prune478.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.5b

regimes559.0ms

Accuracy

38.9% (8.9b remaining)

Error of 13.8b against oracle of 4.9b and baseline of 19.4b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12
done	30	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

229.0ms	8864×	body	80	valid
223.0ms	8928×	body	80	nan