Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	307×	body	80	nan
8.0ms	294×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	14	8
done	14	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
5.5b	(/ A (* V l))
15.1b	(sqrt (/ A (* V l)))

rewrite18.0ms

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×	`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` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 66

Calls

3 calls:

11.0ms	(* c0 (sqrt (/ A (* V l))))
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series101.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
32.0ms	(sqrt (/ A (* V l)))

simplify1.2s

Counts

75 → 75

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	103	661
1	210	611
2	690	561
3	2304	561
done	5000	561

prune187.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.2b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ (/ A V) l)))
4.6b	(/ (/ A V) l)
15.1b	(sqrt (/ (/ A V) l))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
134×	`add-sqr-sqrt`
117×	`add-cube-cbrt` `*-un-lft-identity`
89×	`sqrt-prod`
46×	`associate-r`
13×	`div-inv` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`unswap-sqr`
3×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `associate-l` `associate-/r*` `add-log-exp`
2×	`sqrt-div`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

3 → 191

Calls

3 calls:

25.0ms	(* c0 (sqrt (/ (/ A V) l)))
6.0ms	(/ (/ A V) l)
11.0ms	(sqrt (/ (/ A V) l))

series100.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* c0 (sqrt (/ (/ A V) l)))
19.0ms	(/ (/ A V) l)
36.0ms	(sqrt (/ (/ A V) l))

simplify1.2s

Counts

200 → 200

Iterations

Useful iterations: 2 (237.0ms)

Iter	Nodes	Cost
0	310	2510
1	577	2318
2	1668	2222
done	5000	2222

prune592.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 1.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt V)
0.6b	(cbrt V)
1.2b	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
4.4b	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
138×	`add-sqr-sqrt`
124×	`sqrt-prod`
123×	`add-cube-cbrt` `*-un-lft-identity`
118×	`cbrt-prod`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
6×	`rem-sqrt-square`
4×	`div-inv` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3` `sqrt-div` `associate-*r/`
1×	`sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 181

Calls

4 calls:

0.0ms	(cbrt V)
1.0ms	(cbrt V)
55.0ms	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
21.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

series855.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(cbrt V)
175.0ms	(cbrt V)
157.0ms	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l))))
165.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

simplify907.0ms

Counts

193 → 193

Iterations

Useful iterations: done (900.0ms)

Iter	Nodes	Cost
0	548	3662
1	1027	3391
2	2651	3218
done	5000	3217

prune719.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt V))
0.6b	(cbrt (cbrt V))
0.6b	(cbrt (cbrt V))
1.2b	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

rewrite722.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
13×	`pow1` `add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-*r/`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`sqrt-div` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 66

Calls

4 calls:

1.0ms	(cbrt (cbrt V))
1.0ms	(cbrt (cbrt V))
1.0ms	(cbrt (cbrt V))
717.0ms	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

series891.0ms

Counts

4 → 12

Calls

4 calls:

240.0ms	(cbrt (cbrt V))
239.0ms	(cbrt (cbrt V))
249.0ms	(cbrt (cbrt V))
163.0ms	(* c0 (* (fabs (/ (cbrt A) (cbrt V))) (* (sqrt (/ (/ (cbrt (* (cbrt A) (cbrt A))) (* (cbrt (cbrt V)) (cbrt (cbrt V)))) (* (cbrt l) (cbrt l)))) (sqrt (/ (/ (cbrt (cbrt A)) (cbrt (cbrt V))) (cbrt l))))))

simplify1.6s

Counts

78 → 78

Iterations

Useful iterations: 3 (461.0ms)

Iter	Nodes	Cost
0	141	1712
1	316	1542
2	980	1330
3	4608	1321
done	5000	1321

prune387.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes800.0ms

Accuracy

59% (1.0b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 2.7b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	109
1	48	109
done	48	109

end0.0ms

sample914.0ms

Algorithm

intervals

Results

251.0ms	8887×	body	80	valid
242.0ms	8792×	body	80	nan