Details

sample78.0ms

Algorithm

intervals

Results

16.0ms	297×	body	80	nan
16.0ms	286×	body	80	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize20.0ms

Local error

Found 3 expressions with local error:

1.9b	(* c0 (sqrt (/ A (* V l))))
4.9b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))

rewrite86.0ms

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:

41.0ms	(* c0 (sqrt (/ A (* V l))))
30.0ms	(/ A (* V l))
12.0ms	(sqrt (/ A (* V l)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* c0 (sqrt (/ A (* V l))))
50.0ms	(/ A (* V l))
56.0ms	(sqrt (/ A (* V l)))

simplify2.8s

Counts

75 → 75

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	103	661
1	218	611
2	756	563
3	3464	561
done	5000	561

prune532.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 1 (* V l))
1.9b	(* c0 (sqrt (* A (/ 1 (* V l)))))
4.5b	(* A (/ 1 (* V l)))
15.2b	(sqrt (* A (/ 1 (* V l))))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`pow1` `prod-exp`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
8×	`div-exp`
6×	`times-frac` `associate-l` `cbrt-unprod`
5×	`associate-*r/`
4×	`cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `pow-prod-down` `add-log-exp`
3×	`un-div-inv` `associate-/l*`
2×	`pow-flip` `sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv` `unswap-sqr`
1×	`frac-2neg` `pow1/2` `clear-num` `associate-/r*` `inv-pow`

Counts

4 → 94

Calls

4 calls:

18.0ms	(/ 1 (* V l))
97.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
58.0ms	(* A (/ 1 (* V l)))
29.0ms	(sqrt (* A (/ 1 (* V l))))

series197.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ 1 (* V l))
78.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
44.0ms	(* A (/ 1 (* V l)))
56.0ms	(sqrt (* A (/ 1 (* V l))))

simplify1.0s

Counts

106 → 106

Iterations

Useful iterations: 2 (269.0ms)

Iter	Nodes	Cost
0	125	956
1	318	840
2	1519	658
done	5001	658

prune618.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.4b

localize47.0ms

Local error

Found 4 expressions with local error:

4.5b	(* A (/ 1 (* V l)))
4.9b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))
15.2b	(sqrt (* A (/ 1 (* V l))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
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` `associate-*r/` `pow-prod-down` `un-div-inv`
1×	`rem-sqrt-square` `frac-2neg` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

47.0ms	(* A (/ 1 (* V l)))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
29.0ms	(sqrt (* A (/ 1 (* V l))))

series177.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* A (/ 1 (* V l)))
43.0ms	(/ A (* V l))
51.0ms	(sqrt (/ A (* V l)))
51.0ms	(sqrt (* A (/ 1 (* V l))))

simplify860.0ms

Counts

96 → 96

Iterations

Useful iterations: done (856.0ms)

Iter	Nodes	Cost
0	125	812
1	295	730
2	1480	608
done	5001	604

prune735.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 9.3b

localize62.0ms

Local error

Found 4 expressions with local error:

13.8b	(cbrt (/ 1 (* V l)))
13.8b	(cbrt (/ 1 (* V l)))
15.2b	(sqrt (/ A (* V l)))
15.2b	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`cbrt-prod` `cbrt-div`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `associate-*r/`
8×	`sqrt-div` `sqrt-prod`
6×	`pow-prod-down`
5×	`frac-times` `sqrt-pow1` `associate-*l/`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
2×	`pow1/2` `pow1/3`
1×	`rem-sqrt-square`

Counts

4 → 70

Calls

4 calls:

12.0ms	(cbrt (/ 1 (* V l)))
13.0ms	(cbrt (/ 1 (* V l)))
13.0ms	(sqrt (/ A (* V l)))
201.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

series319.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (/ 1 (* V l)))
106.0ms	(cbrt (/ 1 (* V l)))
49.0ms	(sqrt (/ A (* V l)))
55.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

simplify8.7s

Counts

82 → 82

Iterations

Useful iterations: done (8.7s)

Iter	Nodes	Cost
0	121	1007
1	209	899
2	573	726
3	3749	685
done	5001	623

prune650.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 9.3b

regimes1.9s

Accuracy

54.3% (5.8b remaining)

Error of 12.5b against oracle of 6.7b and baseline of 19.4b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	27	53
1	37	46
done	37	46

end0.0ms

sample3.1s

Algorithm

intervals

Results

616.0ms	9184×	body	80	nan
592.0ms	8998×	body	80	valid