Details

sample86.0ms

Algorithm

intervals

Results

30.0ms	298×	body	80	valid
27.0ms	277×	body	80	nan

simplify26.0ms

Counts: 1 → 1

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.1b

localize12.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (/ A (* V l)))
6.5b	(/ A (* V l))
1.9b	(* c0 (sqrt (/ A (* V l))))

rewrite43.0ms

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` `insert-posit16` `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 → 69

Calls

3 calls:

Slowest

25.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(* c0 (sqrt (/ A (* V l))))
43.0ms	(sqrt (/ A (* V l)))
35.0ms	(/ A (* V l))

simplify892.0ms

Counts: 78 → 78

prune818.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.1b

localize15.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (* (/ 1 V) (/ A l)))
3.0b	(* (/ 1 V) (/ A l))
1.9b	(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite53.0ms

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/` `insert-posit16` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 95

Calls

3 calls:

Slowest

26.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms	(* (/ 1 V) (/ A l))
6.0ms	(sqrt (* (/ 1 V) (/ A l)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

89.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
86.0ms	(sqrt (* (/ 1 V) (/ A l)))
21.0ms	(* (/ 1 V) (/ A l))

simplify1.1s

Counts: 104 → 104

prune1.1s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 5.3b

localize36.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))
1.9b	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
1.6b	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))
1.4b	(/ (/ A (cbrt V)) l)

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

284×	`times-frac`
182×	`add-sqr-sqrt`
149×	`*-un-lft-identity`
145×	`add-cube-cbrt`
89×	`add-exp-log`
74×	`associate-r`
66×	`cbrt-prod`
37×	`add-cbrt-cube`
36×	`div-exp`
31×	`prod-exp`
22×	`associate-/l*`
18×	`cbrt-undiv`
13×	`cbrt-unprod` `unswap-sqr`
11×	`pow1`
10×	`associate-l` `div-inv`
6×	`rec-exp` `sqrt-div` `1-exp` `associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `associate-/r` `pow-prod-down` `associate-l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod`
1×	`clear-num` `frac-2neg` `pow1/2` `associate-/l/`

Counts

4 → 277

Calls

4 calls:

Slowest

141.0ms	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
54.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))
23.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))
17.0ms	(/ (/ A (cbrt V)) l)

series419.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(/ (/ A (cbrt V)) l)
114.0ms	(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l)))
104.0ms	(* c0 (sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))))
53.0ms	(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A (cbrt V)) l))

simplify2.2s

Counts: 289 → 289

prune4.0s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.9b

localize61.0ms

Local error

Found 4 expressions with local error:

15.5b	(sqrt (/ (/ A (cbrt V)) l))
1.9b	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A (cbrt V)) l))))
1.4b	(/ (/ A (cbrt V)) l)
0.5b	(cbrt V)

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

263×	`times-frac`
152×	`add-sqr-sqrt`
143×	`*-un-lft-identity` `add-cube-cbrt`
70×	`sqrt-prod`
67×	`cbrt-prod`
22×	`associate-/l*`
14×	`add-exp-log`
13×	`add-cbrt-cube`
10×	`pow1`
9×	`div-inv`
5×	`sqrt-div`
4×	`rem-sqrt-square` `associate-*r/` `insert-posit16` `add-log-exp`
3×	`cbrt-undiv` `associate-/r` `div-exp` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`frac-times` `clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `associate-r` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 226

Calls

4 calls:

Slowest

103.0ms	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A (cbrt V)) l))))
16.0ms	(/ (/ A (cbrt V)) l)
9.0ms	(sqrt (/ (/ A (cbrt V)) l))
1.0ms	(cbrt V)

series728.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

307.0ms	(cbrt V)
169.0ms	(sqrt (/ (/ A (cbrt V)) l))
132.0ms	(/ (/ A (cbrt V)) l)
120.0ms	(* c0 (* (sqrt (/ 1 (* (cbrt V) (cbrt V)))) (sqrt (/ (/ A (cbrt V)) l))))

simplify949.0ms

Counts: 238 → 238

prune3.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 1.6b

regimes1.5s

Accuracy

28% (2.4b remaining)

Error of 3.5b against oracle of 1.1b and baseline of 4.4b

bsearch159.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

895.0ms	8905×	body	80	valid
798.0ms	9176×	body	80	nan