Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	296×	body	80	valid
17.0ms	282×	body	80	nan

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.7b

localize18.0ms

Local error

Found 3 expressions with local error:

0.5b	(* c0 (sqrt (/ A (* V l))))
4.5b	(/ A (* V l))
18.1b	(sqrt (/ A (* V l)))

rewrite30.0ms

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:

18.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series138.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
40.0ms	(sqrt (/ A (* V l)))

simplify774.0ms

Counts

84 → 84

Iterations

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

prune405.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.5b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.1b	(* (/ 1 V) (/ A l))
18.1b	(sqrt (* (/ 1 V) (/ A l)))

rewrite64.0ms

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×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 101

Calls

3 calls:

33.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
17.0ms	(* (/ 1 V) (/ A l))
11.0ms	(sqrt (* (/ 1 V) (/ A l)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
23.0ms	(* (/ 1 V) (/ A l))
70.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify1.2s

Counts

110 → 110

Iterations

Iter	Nodes
done	2001
3	2001
2	1336
1	441
0	171

prune584.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ 1 V) (/ A l))
4.1b	(* (/ 1 V) (/ A l))
18.1b	(sqrt (* (/ 1 V) (/ A l)))
18.1b	(sqrt (* (/ 1 V) (/ A l)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
50×	`times-frac`
48×	`add-exp-log`
36×	`*-un-lft-identity`
32×	`add-cube-cbrt`
28×	`add-cbrt-cube`
26×	`associate-r` `associate-l`
16×	`div-exp` `prod-exp`
14×	`pow1`
12×	`unswap-sqr`
8×	`cbrt-undiv` `cbrt-unprod`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `rec-exp` `sqrt-pow1` `1-exp` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 152

Calls

4 calls:

28.0ms	(* (/ 1 V) (/ A l))
26.0ms	(* (/ 1 V) (/ A l))
14.0ms	(sqrt (* (/ 1 V) (/ A l)))
9.0ms	(sqrt (* (/ 1 V) (/ A l)))

series202.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (/ 1 V) (/ A l))
32.0ms	(* (/ 1 V) (/ A l))
69.0ms	(sqrt (* (/ 1 V) (/ A l)))
67.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify1.0s

Counts

164 → 164

Iterations

Iter	Nodes
done	2014
3	2014
2	1094
1	371
0	139

prune975.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.9b

localize60.0ms

Local error

Found 4 expressions with local error:

2.1b	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
4.1b	(* (/ 1 V) (/ A l))
18.1b	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
18.1b	(sqrt (* (/ 1 V) (/ A l)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

188×	`times-frac`
149×	`add-sqr-sqrt`
104×	`add-exp-log`
96×	`*-un-lft-identity`
95×	`associate-r`
89×	`add-cube-cbrt`
45×	`cbrt-prod`
41×	`div-exp`
40×	`add-cbrt-cube`
38×	`prod-exp`
21×	`unswap-sqr`
20×	`associate-l`
19×	`cbrt-undiv`
16×	`cbrt-unprod`
14×	`pow1`
10×	`div-inv`
8×	`rec-exp` `1-exp`
6×	`sqrt-div`
4×	`expm1-log1p-u` `frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 242

Calls

4 calls:

53.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
13.0ms	(* (/ 1 V) (/ A l))
26.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
8.0ms	(sqrt (* (/ 1 V) (/ A l)))

series269.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
31.0ms	(* (/ 1 V) (/ A l))
110.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))
81.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify1.3s

Counts

254 → 254

Iterations

Iter	Nodes
done	2001
2	2001
1	1367
0	411

prune1.8s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 4.9b

regimes1.2s

Accuracy

40.1% (8.7b remaining)

Error of 13.2b against oracle of 4.5b and baseline of 19.0b

bsearch2.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	43
1	43
0	38

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.0s	9224×	body	80	nan
814.0ms	8955×	body	80	valid