Details

sample90.0ms

Algorithm

intervals

Results

18.0ms	297×	body	80	nan
18.0ms	286×	body	80	valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize22.0ms

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)))

rewrite110.0ms

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:

57.0ms	(* c0 (sqrt (/ A (* V l))))
36.0ms	(/ A (* V l))
14.0ms	(sqrt (/ A (* V l)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(* c0 (sqrt (/ A (* V l))))
46.0ms	(/ A (* V l))
61.0ms	(sqrt (/ A (* V l)))

simplify4.2s

Counts

81 → 81

Iterations

Useful iterations: 3 (2.0s)

Iter	Nodes	Cost
0	109	705
1	222	655
2	747	607
3	3488	605
done	5001	605

prune729.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 9.4b

localize28.0ms

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))))

rewrite266.0ms

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` `expm1-log1p-u` `rec-exp` `sqrt-div` `1-exp` `pow-prod-down` `log1p-expm1-u` `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 → 102

Calls

4 calls:

25.0ms	(/ 1 (* V l))
126.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
62.0ms	(* A (/ 1 (* V l)))
47.0ms	(sqrt (* A (/ 1 (* V l))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ 1 (* V l))
90.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
45.0ms	(* A (/ 1 (* V l)))
65.0ms	(sqrt (* A (/ 1 (* V l))))

simplify1.2s

Counts

114 → 114

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	133	1024
1	325	908
2	1512	714
done	5001	712

prune810.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.4b

localize52.0ms

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))))

rewrite132.0ms

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` `expm1-log1p-u` `log1p-expm1-u` `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 → 92

Calls

4 calls:

52.0ms	(* A (/ 1 (* V l)))
15.0ms	(/ A (* V l))
12.0ms	(sqrt (/ A (* V l)))
47.0ms	(sqrt (* A (/ 1 (* V l))))

series196.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* A (/ 1 (* V l)))
36.0ms	(/ A (* V l))
56.0ms	(sqrt (/ A (* V l)))
63.0ms	(sqrt (* A (/ 1 (* V l))))

simplify1.1s

Counts

104 → 104

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	133	872
1	306	790
2	1514	658
done	5000	654

prune939.0ms

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)))))

rewrite238.0ms

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` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`pow1/2` `pow1/3`
1×	`rem-sqrt-square`

Counts

4 → 78

Calls

4 calls:

13.0ms	(cbrt (/ 1 (* V l)))
12.0ms	(cbrt (/ 1 (* V l)))
12.0ms	(sqrt (/ A (* V l)))
197.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

series344.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(cbrt (/ 1 (* V l)))
122.0ms	(cbrt (/ 1 (* V l)))
57.0ms	(sqrt (/ A (* V l)))
58.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

simplify12.4s

Counts

90 → 90

Iterations

Useful iterations: done (12.4s)

Iter	Nodes	Cost
0	127	1097
1	216	989
2	586	792
3	3735	745
done	5001	679

prune949.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 9.3b

regimes2.0s

Accuracy

54.3% (5.8b remaining)

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

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

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

end0.0ms

sample3.3s

Algorithm

intervals

Results

699.0ms	8998×	body	80	valid
663.0ms	9184×	body	80	nan