Details

sample84.0ms

Algorithm

intervals

Results

29.0ms	301×	body	80	nan
27.0ms	295×	body	80	valid

simplify29.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize23.0ms

Local error

Found 3 expressions with local error:

17.7b	(sqrt (/ A (* V l)))
4.9b	(/ A (* V l))
1.4b	(* c0 (sqrt (/ A (* V l))))

rewrite48.0ms

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:

Slowest

27.0ms	(* c0 (sqrt (/ A (* V l))))
13.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series163.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

84.0ms	(* c0 (sqrt (/ A (* V l))))
41.0ms	(sqrt (/ A (* V l)))
38.0ms	(/ A (* V l))

simplify962.0ms

Counts: 84 → 84

prune858.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.7b

localize49.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
3.2b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.4b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b	(cbrt A)

rewrite146.0ms

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:

Slowest

75.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
42.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
27.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
1.0ms	(cbrt A)

series505.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

279.0ms	(cbrt A)
112.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
60.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
53.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))

simplify655.0ms

Counts: 130 → 130

prune1.6s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 4.4b

localize38.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (/ A (* V l)))
17.7b	(sqrt (/ A (* V l)))
4.9b	(/ A (* V l))
4.9b	(/ A (* V l))

rewrite26.0ms

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:

Slowest

8.0ms	(/ A (* V l))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* V l)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

61.0ms	(sqrt (/ A (* V l)))
54.0ms	(sqrt (/ A (* V l)))
35.0ms	(/ A (* V l))
35.0ms	(/ A (* V l))

simplify4.4s

Counts: 102 → 102

prune1.4s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 4.4b

localize17.0ms

Local error

Found 4 expressions with local error:

17.7b	(sqrt (* A (/ 1 (* V l))))
4.7b	(* A (/ 1 (* V l)))
1.4b	(* c0 (sqrt (* A (/ 1 (* V l)))))
0.5b	(/ 1 (* V l))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt`
14×	`pow1` `prod-exp`
11×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
8×	`div-exp`
6×	`times-frac` `associate-l` `cbrt-unprod`
5×	`associate-*r/`
4×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `sqrt-div` `1-exp` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`un-div-inv` `associate-/l*`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv` `pow-flip` `unswap-sqr`
1×	`clear-num` `associate-/r*` `frac-2neg` `pow1/2` `inv-pow`

Counts

4 → 106

Calls

4 calls:

Slowest

79.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
21.0ms	(* A (/ 1 (* V l)))
19.0ms	(/ 1 (* V l))
15.0ms	(sqrt (* A (/ 1 (* V l))))

series157.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

62.0ms	(* c0 (sqrt (* A (/ 1 (* V l)))))
54.0ms	(sqrt (* A (/ 1 (* V l))))
21.0ms	(* A (/ 1 (* V l)))
20.0ms	(/ 1 (* V l))

simplify1.8s

Counts: 118 → 118

prune1.1s

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 4.4b

regimes1.2s

Accuracy

41.9% (7.6b remaining)

Error of 12.4b against oracle of 4.8b and baseline of 17.9b

bsearch15.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.4s	8891×	body	80	valid
906.0ms	9055×	body	80	nan