Details

sample81.0ms

Algorithm

intervals

Results

36.0ms	282×	body	80	valid
21.0ms	254×	body	80	nan

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize24.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
5.9b	(/ A (* V l))
15.5b	(sqrt (/ A (* V l)))

rewrite32.0ms

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:

17.0ms	(* c0 (sqrt (/ A (* V l))))
7.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series134.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* c0 (sqrt (/ A (* V l))))
25.0ms	(/ A (* V l))
45.0ms	(sqrt (/ A (* V l)))

simplify1.8s

Counts

84 → 84

Iterations

Iter	Nodes
done	5007
3	3034
2	714
1	230
0	114

prune480.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 4.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.5b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.8b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 118

Calls

4 calls:

1.0ms	(cbrt A)
47.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
22.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
30.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series452.0ms

Counts

4 → 12

Calls

4 calls:

229.0ms	(cbrt A)
104.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
60.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
59.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.9s

Counts

130 → 130

Iterations

Iter	Nodes
done	5000
2	1919
1	548
0	198

prune828.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.5b

localize37.0ms

Local error

Found 4 expressions with local error:

4.4b	(cbrt (/ (cbrt A) l))
4.4b	(cbrt (/ (cbrt A) l))
4.4b	(cbrt (/ (cbrt A) l))
15.5b	(sqrt (* (/ (* (* (cbrt (/ (cbrt A) l)) (cbrt A)) (* (cbrt (/ (cbrt A) l)) (cbrt A))) V) (cbrt (/ (cbrt A) l))))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

93×	`cbrt-prod`
54×	`times-frac`
43×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1`
5×	`cbrt-div`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-div` `div-inv`
2×	`sqrt-pow1`
1×	`frac-times` `pow1/2` `pow-prod-down` `associate-l/` `associate-r/` `sqrt-prod`

Counts

4 → 119

Calls

4 calls:

2.0ms	(cbrt (/ (cbrt A) l))
2.0ms	(cbrt (/ (cbrt A) l))
3.0ms	(cbrt (/ (cbrt A) l))
126.0ms	(sqrt (* (/ (* (* (cbrt (/ (cbrt A) l)) (cbrt A)) (* (cbrt (/ (cbrt A) l)) (cbrt A))) V) (cbrt (/ (cbrt A) l))))

series754.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(cbrt (/ (cbrt A) l))
216.0ms	(cbrt (/ (cbrt A) l))
217.0ms	(cbrt (/ (cbrt A) l))
83.0ms	(sqrt (* (/ (* (* (cbrt (/ (cbrt A) l)) (cbrt A)) (* (cbrt (/ (cbrt A) l)) (cbrt A))) V) (cbrt (/ (cbrt A) l))))

simplify2.5s

Counts

131 → 131

Iterations

Iter	Nodes
done	5004
4	3248
3	1056
2	423
1	216
0	138

prune959.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 3.2b

localize72.0ms

Local error

Found 4 expressions with local error:

3.8b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`associate-r`
19×	`*-un-lft-identity` `add-cube-cbrt`
18×	`add-cbrt-cube`
15×	`pow1`
11×	`cbrt-prod`
9×	`sqrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`sqrt-pow1` `unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/2` `sqrt-prod`
2×	`div-inv`
1×	`*-commutative`

Counts

4 → 113

Calls

4 calls:

25.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
28.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
27.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
28.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
95.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
75.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
56.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.9s

Counts

125 → 125

Iterations

Iter	Nodes
done	5000
2	1735
1	433
0	152

prune859.0ms

Pruning

19 alts after pruning (16 fresh and 3 done)

Merged error: 3.2b

regimes1.4s

Accuracy

49.9% (6.6b remaining)

Error of 10.3b against oracle of 3.7b and baseline of 16.9b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	54
1	54
0	43

end0.0ms

sample2.4s

Algorithm

intervals

Results

911.0ms	8890×	body	80	valid
854.0ms	8631×	body	80	nan