Details

sample59.0ms

Algorithm

intervals

Results

20.0ms	289×	body	80	nan
12.0ms	287×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize13.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))

rewrite38.0ms

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:

26.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series125.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* c0 (sqrt (/ A (* V l))))
24.0ms	(/ A (* V l))
41.0ms	(sqrt (/ A (* V l)))

simplify2.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
3	3823
2	807
1	221
0	105

prune496.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.6b

localize28.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ A (* V l))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))
16.6b	(sqrt (/ A (* V l)))

rewrite36.0ms

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:

9.0ms	(/ A (* V l))
12.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* V l)))

series149.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ A (* V l))
35.0ms	(/ A (* V l))
52.0ms	(sqrt (/ A (* V l)))
40.0ms	(sqrt (/ A (* V l)))

simplify3.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
3	2602
2	508
1	137
0	72

prune761.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

localize58.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 79

Calls

4 calls:

53.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
14.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
111.0ms	(cbrt (/ A (* V l)))
132.0ms	(cbrt (/ A (* V l)))
130.0ms	(cbrt (/ A (* V l)))

simplify1.1s

Counts

91 → 91

Iterations

Iter	Nodes
done	5000
3	932
2	342
1	192
0	120

prune957.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

localize93.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ A (* V l))
16.5b	(cbrt (* V l))
16.6b	(sqrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

6.0ms	(/ A (* V l))
3.0ms	(cbrt (* V l))
5.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series349.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ A (* V l))
118.0ms	(cbrt (* V l))
58.0ms	(sqrt (/ A (* V l)))
148.0ms	(cbrt (/ A (* V l)))

simplify2.4s

Counts

76 → 76

Iterations

Iter	Nodes
done	5001
3	4720
2	863
1	256
0	130

prune1.1s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

regimes1.7s

Accuracy

50.8% (6.1b remaining)

Error of 12.3b against oracle of 6.3b and baseline of 18.6b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample1.9s

Algorithm

intervals

Results

515.0ms	8927×	body	80	valid
504.0ms	8855×	body	80	nan