Details

sample36.0ms

Algorithm

intervals

Results

8.0ms	286×	body	80	valid
8.0ms	287×	body	80	nan

simplify5.0ms

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: 20.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (sqrt (/ A (* V l))))
6.8b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))

rewrite21.0ms

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:

14.0ms	(* c0 (sqrt (/ A (* V l))))
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
33.0ms	(sqrt (/ A (* V l)))

simplify1.1s

Counts

75 → 75

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	103	661
1	213	613
2	798	561
3	2726	561
done	5000	561

prune234.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
0.7b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.7b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt A)
44.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
27.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series409.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt A)
99.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
50.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
57.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify841.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	185	1720
1	520	1626
2	2296	1155
done	5000	1155

prune400.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (* 1 (sqrt (/ (/ A V) l))))
6.3b	(/ (/ A V) l)
15.2b	(sqrt (/ (/ A V) l))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
87×	`add-sqr-sqrt`
81×	`add-cube-cbrt` `*-un-lft-identity`
43×	`sqrt-prod`
15×	`add-exp-log`
13×	`add-cbrt-cube` `associate-/l*`
9×	`pow1` `div-inv`
5×	`prod-exp`
3×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `associate-l` `pow-prod-down` `associate-/r*` `cbrt-unprod` `add-log-exp`
2×	`sqrt-div` `associate-*r/`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `1-exp` `associate-r` `clear-num` `*-commutative` `associate-/l/`

Counts

3 → 146

Calls

3 calls:

34.0ms	(* c0 (* 1 (sqrt (/ (/ A V) l))))
7.0ms	(/ (/ A V) l)
10.0ms	(sqrt (/ (/ A V) l))

series112.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (* 1 (sqrt (/ (/ A V) l))))
21.0ms	(/ (/ A V) l)
40.0ms	(sqrt (/ (/ A V) l))

simplify781.0ms

Counts

155 → 155

Iterations

Useful iterations: 2 (179.0ms)

Iter	Nodes	Cost
0	278	1992
1	542	1799
2	1759	1717
done	5000	1717

prune549.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt V)
0.6b	(cbrt V)
0.7b	(* c0 (* 1 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l)))))
3.3b	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

rewrite223.0ms

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`
18×	`add-exp-log`
14×	`pow1`
13×	`add-cbrt-cube`
11×	`prod-exp`
6×	`rem-sqrt-square` `pow-prod-down` `cbrt-unprod`
4×	`div-inv` `add-log-exp`
3×	`associate-r/` `associate-l*`
2×	`pow1/3` `sqrt-div` `1-exp`
1×	`sqrt-pow1` `pow1/2` `associate-r` `*-commutative`

Counts

4 → 186

Calls

4 calls:

1.0ms	(cbrt V)
1.0ms	(cbrt V)
185.0ms	(* c0 (* 1 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l)))))
22.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

series731.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt V)
186.0ms	(cbrt V)
167.0ms	(* c0 (* 1 (* (fabs (/ (cbrt A) (cbrt V))) (sqrt (/ (/ (cbrt A) (cbrt V)) l)))))
193.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

simplify1.4s

Counts

198 → 198

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	567	3849
1	1090	3531
2	3428	3301
done	5000	3300

prune797.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.3b

regimes678.0ms

Accuracy

0% (1.7b remaining)

Error of 2.4b against oracle of 0.7b and baseline of 2.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	26	44
1	32	42
2	34	42
done	34	42

end0.0ms

sample967.0ms

Algorithm

intervals

Results

250.0ms	8853×	body	80	valid
241.0ms	8808×	body	80	nan