Details

sample47.0ms

Algorithm

intervals

Results

10.0ms	314×	body	80	nan
10.0ms	294×	body	80	valid

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize40.0ms

Local error

Found 3 expressions with local error:

2.5b	(* c0 (sqrt (/ A (* V l))))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))

rewrite31.0ms

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:

17.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))

series155.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* c0 (sqrt (/ A (* V l))))
39.0ms	(/ A (* V l))
51.0ms	(sqrt (/ A (* V l)))

simplify1.7s

Counts

75 → 75

Iterations

Iter	Nodes
done	5003
3	2759
2	643
1	221
0	105

prune485.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.9b

localize33.0ms

Local error

Found 4 expressions with local error:

3.8b	(/ A (* V l))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))
16.0b	(sqrt (/ A (* V l)))

rewrite42.0ms

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:

11.0ms	(/ A (* V l))
11.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))
10.0ms	(sqrt (/ A (* V l)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ A (* V l))
22.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))
39.0ms	(sqrt (/ A (* V l)))

simplify4.8s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
4	4718
3	1352
2	394
1	137
0	72

prune552.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 8.9b

localize66.0ms

Local error

Found 4 expressions with local error:

3.7b	(sqrt (sqrt (/ A (* V l))))
3.8b	(/ A (* V l))
16.0b	(sqrt (/ A (* V l)))
16.0b	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

11.0ms	(sqrt (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
18.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(sqrt (sqrt (/ A (* V l))))
24.0ms	(/ A (* V l))
44.0ms	(sqrt (/ A (* V l)))
72.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.8s

Counts

102 → 102

Iterations

Iter	Nodes
done	5097
3	3440
2	906
1	335
0	185

prune861.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 8.9b

localize14.0ms

Local error

Found 3 expressions with local error:

2.5b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b	(* (/ 1 V) (/ A l))
16.0b	(sqrt (* (/ 1 V) (/ A l)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`add-cbrt-cube` `associate-r`
16×	`associate-l`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 92

Calls

3 calls:

38.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms	(* (/ 1 V) (/ A l))
12.0ms	(sqrt (* (/ 1 V) (/ A l)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms	(* (/ 1 V) (/ A l))
77.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify2.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5007
3	4287
2	1306
1	442
0	162

prune614.0ms

Pruning

15 alts after pruning (11 fresh and 4 done)

Merged error: 6.0b

regimes1.6s

Accuracy

45.1% (7.9b remaining)

Error of 12.6b against oracle of 4.7b and baseline of 19.1b

bsearch2.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample2.2s

Algorithm

intervals

Results

908.0ms	8933×	body	80	nan
502.0ms	8882×	body	80	valid