Details

sample95.0ms

Algorithm

intervals

Results

32.0ms	279×	body	80	nan
32.0ms	280×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize25.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
4.7b	(/ A (* V l))
14.0b	(sqrt (/ A (* V l)))

rewrite76.0ms

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×	`expm1-log1p-u` `associate-l` `insert-posit16` `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` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 75

Calls

3 calls:

38.0ms	(* c0 (sqrt (/ A (* V l))))
25.0ms	(/ A (* V l))
12.0ms	(sqrt (/ A (* V l)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(* c0 (sqrt (/ A (* V l))))
37.0ms	(/ A (* V l))
40.0ms	(sqrt (/ A (* V l)))

simplify1.0s

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
3	2000
2	714
1	230
0	114

prune865.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.8b

localize32.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ A (* V l))
4.7b	(/ A (* V l))
14.0b	(sqrt (/ A (* V l)))
14.0b	(sqrt (/ A (* V l)))

rewrite35.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `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 → 90

Calls

4 calls:

14.0ms	(/ A (* V l))
7.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))
6.0ms	(sqrt (/ A (* V l)))

series169.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ A (* V l))
35.0ms	(/ A (* V l))
44.0ms	(sqrt (/ A (* V l)))
54.0ms	(sqrt (/ A (* V l)))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	2011
4	2011
3	1417
2	398
1	141
0	78

prune1.6s

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.8b

localize51.0ms

Local error

Found 4 expressions with local error:

5.9b	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
16.6b	(cbrt (/ A (* V l)))
16.6b	(cbrt (/ A (* V l)))
16.6b	(cbrt (/ A (* V l)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `times-frac` `pow1/3`
7×	`cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `pow1/2` `associate-l/` `associate-r/` `sqrt-prod`

Counts

4 → 82

Calls

4 calls:

10.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
8.0ms	(cbrt (/ A (* V l)))
8.0ms	(cbrt (/ A (* V l)))
15.0ms	(cbrt (/ A (* V l)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
146.0ms	(cbrt (/ A (* V l)))
146.0ms	(cbrt (/ A (* V l)))
115.0ms	(cbrt (/ A (* V l)))

simplify1.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	2002
4	2002
3	839
2	282
1	156
0	100

prune1.3s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.8b

localize58.0ms

Local error

Found 4 expressions with local error:

4.7b	(/ A (* V l))
13.5b	(cbrt (* V l))
13.5b	(cbrt (* V l))
16.6b	(cbrt (/ A (* V l)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`cbrt-div` `clear-num` `associate-/r*` `frac-2neg` `prod-exp` `cbrt-unprod`

Counts

4 → 67

Calls

4 calls:

15.0ms	(/ A (* V l))
6.0ms	(cbrt (* V l))
6.0ms	(cbrt (* V l))
8.0ms	(cbrt (/ A (* V l)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ A (* V l))
120.0ms	(cbrt (* V l))
102.0ms	(cbrt (* V l))
113.0ms	(cbrt (/ A (* V l)))

simplify1.4s

Counts

79 → 79

Iterations

Iter	Nodes
done	2007
4	2007
3	1994
2	606
1	232
0	118

prune1.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.9b

regimes1.1s

Accuracy

30.5% (5.4b remaining)

Error of 9.7b against oracle of 4.3b and baseline of 12.1b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	42
1	42
0	33

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.2s	9004×	body	80	nan
886.0ms	8921×	body	80	valid