Details

sample476.0ms

Algorithm

intervals

Results

176.0ms	67×	body	1280	valid
103.0ms	58×	body	640	valid
70.0ms	178×	body	80	valid
52.0ms	22×	body	160	valid
52.0ms	41×	body	320	valid

simplify2.4s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.6b

localize35.0ms

Local error

Found 4 expressions with local error:

15.1b	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (* (/ t l) t) (sin k)) (* (tan k) (/ t l))))
4.2b	(* (* (/ t l) t) (sin k))
3.1b	(* (tan k) (/ t l))
0.3b	(/ 2 (+ (* (/ k t) (/ k t)) 2))

rewrite204.0ms

Algorithm

rewrite-expression-head

Rules

169×	`add-cbrt-cube` `add-exp-log`
77×	`prod-exp` `cbrt-unprod`
56×	`cbrt-undiv` `div-exp`
52×	`times-frac`
40×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/l*`
16×	`associate-r`
14×	`associate-*l/`
13×	`associate-/r/`
11×	`pow1`
6×	`frac-times` `tan-quot` `associate-*r/`
5×	`div-inv`
4×	`associate-/r` `associate-l*` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`flip3-+` `flip-+`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`associate-/l/`

Counts

4 → 189

Calls

4 calls:

Slowest

130.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (* (/ t l) t) (sin k)) (* (tan k) (/ t l))))
29.0ms	(* (* (/ t l) t) (sin k))
25.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))
14.0ms	(* (tan k) (/ t l))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

818.0ms	(/ (/ 2 (+ (* (/ k t) (/ k t)) 2)) (* (* (* (/ t l) t) (sin k)) (* (tan k) (/ t l))))
135.0ms	(* (tan k) (/ t l))
81.0ms	(* (* (/ t l) t) (sin k))
78.0ms	(/ 2 (+ (* (/ k t) (/ k t)) 2))

simplify2.0s

Counts: 201 → 201

prune2.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.6b

localize76.0ms

Local error

Found 4 expressions with local error:

14.0b	(/ (/ 1 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (* (/ t l) t) (sin k)))
8.2b	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
8.2b	(sqrt (+ (* (/ k t) (/ k t)) 2))
8.2b	(sqrt (+ (* (/ k t) (/ k t)) 2))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

120×	`times-frac`
85×	`add-exp-log`
60×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
57×	`add-cbrt-cube`
48×	`associate-/l*`
42×	`sqrt-prod`
39×	`div-exp`
25×	`cbrt-undiv`
24×	`prod-exp`
14×	`cbrt-unprod`
12×	`sqrt-div` `associate-/r/`
6×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`associate-*l/`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `tan-quot` `associate-/l/`
1×	`frac-times` `associate-*r/`

Counts

4 → 194

Calls

4 calls:

Slowest

81.0ms	(/ (/ 1 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (* (/ t l) t) (sin k)))
64.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
17.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
14.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))

series692.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

343.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
243.0ms	(/ (/ 1 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (* (/ t l) t) (sin k)))
56.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
50.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))

simplify1.7s

Counts: 206 → 206

prune3.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.5b

localize74.0ms

Local error

Found 4 expressions with local error:

14.0b	(* (sqrt (+ (* (/ k t) (/ k t)) 2)) (* (/ t l) (* t (sin k))))
8.2b	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
8.2b	(sqrt (+ (* (/ k t) (/ k t)) 2))
8.2b	(sqrt (+ (* (/ k t) (/ k t)) 2))

rewrite224.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
43×	`add-cbrt-cube` `add-exp-log`
36×	`add-sqr-sqrt`
34×	`*-un-lft-identity` `add-cube-cbrt`
27×	`sqrt-prod`
24×	`associate-/l*`
15×	`pow1` `prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
12×	`sqrt-div`
7×	`associate-/r/`
6×	`flip3-+` `associate-l` `pow-prod-down` `associate-*l/` `flip-+`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `div-inv`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `tan-quot` `associate-*r/`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `-commutative` `associate-/l/`

Counts

4 → 142

Calls

4 calls:

Slowest

127.0ms	(* (sqrt (+ (* (/ k t) (/ k t)) 2)) (* (/ t l) (* t (sin k))))
51.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
26.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
15.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))

series760.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

372.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
255.0ms	(* (sqrt (+ (* (/ k t) (/ k t)) 2)) (* (/ t l) (* t (sin k))))
72.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))
60.0ms	(sqrt (+ (* (/ k t) (/ k t)) 2))

simplify1.1s

Counts: 154 → 154

prune2.8s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 10.5b

localize76.0ms

Local error

Found 4 expressions with local error:

14.0b	(* (* (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2))) (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))) (* (/ t l) (* t (sin k))))
12.3b	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))
12.3b	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))
8.2b	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))

rewrite291.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-cbrt-cube` `add-exp-log`
60×	`times-frac` `sqrt-div`
38×	`add-sqr-sqrt` `sqrt-prod`
34×	`*-un-lft-identity` `add-cube-cbrt`
31×	`prod-exp` `cbrt-unprod`
29×	`pow1`
24×	`associate-/l*`
22×	`associate-*l/`
17×	`frac-times`
16×	`flip3-+` `flip-+`
15×	`cbrt-undiv` `div-exp` `pow-prod-down`
8×	`sqrt-pow1`
7×	`associate-/r/`
6×	`associate-*r/`
4×	`rem-sqrt-square` `pow1/2` `insert-posit16` `add-log-exp`
3×	`div-inv`
2×	`tan-quot`
1×	`clear-num` `associate-/r` `frac-2neg` `associate-r` `associate-l` `-commutative` `associate-/l/`

Counts

4 → 174

Calls

4 calls:

Slowest

198.0ms	(* (* (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2))) (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))) (* (/ t l) (* t (sin k))))
35.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
28.0ms	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))
25.0ms	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))

series958.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

297.0ms	(/ (/ 2 (sqrt (+ (* (/ k t) (/ k t)) 2))) (* (tan k) (/ t l)))
258.0ms	(* (* (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2))) (sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))) (* (/ t l) (* t (sin k))))
226.0ms	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))
176.0ms	(sqrt (sqrt (+ (* (/ k t) (/ k t)) 2)))

simplify1.7s

Counts: 186 → 186

prune3.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.5b

regimes398.0ms

Accuracy

0% (0.8b remaining)

Error of 11.4b against oracle of 10.6b and baseline of 11.4b

bsearch4.0ms

end0.0ms

sample16.0s

Algorithm

intervals

Results

7.1s	2049×	body	1280	valid
3.8s	1677×	body	640	valid
2.5s	5982×	body	80	valid
1.8s	884×	body	320	valid
394.0ms	447×	body	160	valid