Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	282×	body	80	valid
18.0ms	294×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	12
1	12
0	8

prune25.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize19.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (sqrt (/ A (* V l))))
4.2b	(/ A (* V l))
15.7b	(sqrt (/ A (* V l)))

rewrite33.0ms

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:

16.0ms	(* c0 (sqrt (/ A (* V l))))
9.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* c0 (sqrt (/ A (* V l))))
24.0ms	(/ A (* V l))
40.0ms	(sqrt (/ A (* V l)))

simplify676.0ms

Counts

75 → 75

Iterations

Iter	Nodes
3	2190
2	630
1	215
0	105

prune623.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.8b

localize21.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ A (* V l))
4.2b	(/ A (* V l))
15.7b	(sqrt (/ A (* V l)))
15.7b	(sqrt (/ A (* V l)))

rewrite21.0ms

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:

6.0ms	(/ A (* V l))
6.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* V l)))

series142.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ A (* V l))
33.0ms	(/ A (* V l))
45.0ms	(sqrt (/ A (* V l)))
38.0ms	(sqrt (/ A (* V l)))

simplify3.7s

Counts

90 → 90

Iterations

Iter	Nodes
4	4691
3	1364
2	392
1	136
0	72

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.8b

localize28.0ms

Local error

Found 4 expressions with local error:

7.9b	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
18.1b	(cbrt (/ A (* V l)))
18.1b	(cbrt (/ A (* V l)))
18.1b	(cbrt (/ A (* V l)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `times-frac` `pow1/3`
7×	`cbrt-div`
4×	`add-cbrt-cube` `add-exp-log` `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-l/` `associate-r/` `sqrt-prod`

Counts

4 → 70

Calls

4 calls:

9.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
5.0ms	(cbrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))
11.0ms	(cbrt (/ A (* V l)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
109.0ms	(cbrt (/ A (* V l)))
116.0ms	(cbrt (/ A (* V l)))
120.0ms	(cbrt (/ A (* V l)))

simplify4.4s

Counts

82 → 82

Iterations

Iter	Nodes
5	6613
4	1897
3	564
2	242
1	148
0	94

prune1.0s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

localize30.0ms

Local error

Found 4 expressions with local error:

4.1b	(* A (/ 1 (* V l)))
4.2b	(/ A (* V l))
15.7b	(sqrt (/ A (* V l)))
15.7b	(sqrt (* A (/ 1 (* V l))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

23.0ms	(* A (/ 1 (* V l)))
9.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))
11.0ms	(sqrt (* A (/ 1 (* V l))))

series116.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* A (/ 1 (* V l)))
21.0ms	(/ A (* V l))
33.0ms	(sqrt (/ A (* V l)))
34.0ms	(sqrt (* A (/ 1 (* V l))))

simplify3.1s

Counts

96 → 96

Iterations

Iter	Nodes
3	4035
2	917
1	273
0	127

prune1.2s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.8b

regimes888.0ms

Accuracy

46.5% (6.5b remaining)

Error of 13.3b against oracle of 6.8b and baseline of 19.0b

bsearch1.0ms

simplify8.0ms

Iterations

Iter	Nodes
2	38
1	38
0	31

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.0s	8875×	body	80	valid
879.0ms	9080×	body	80	nan