Details

sample1.0s

Algorithm

intervals

Results

310.0ms	74×	body	2560	valid
277.0ms	33×	body	5120	valid
244.0ms	113×	body	1280	valid
108.0ms	69×	body	640	valid
43.0ms	39×	body	320	valid
22.0ms	61×	body	80	valid
13.0ms	17×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Iter	Nodes
4	7040
3	1010
2	176
1	49
0	19

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.8b

localize43.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (/ k t) (* (/ k t) (/ t l)))
3.3b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
16.3b	(* (/ k t) (/ t l))
21.0b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite548.0ms

Algorithm

rewrite-expression-head

Rules

810×	`add-cbrt-cube` `add-exp-log`
384×	`prod-exp` `cbrt-unprod`
305×	`cbrt-undiv` `div-exp`
67×	`associate-*l/`
59×	`times-frac`
57×	`frac-times`
41×	`add-sqr-sqrt`
40×	`associate-*r/`
32×	`pow1`
31×	`associate-/r/`
29×	`*-un-lft-identity` `add-cube-cbrt`
27×	`associate-l`
22×	`associate-/l*`
19×	`pow-prod-down`
15×	`associate-r`
6×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 403

Calls

4 calls:

24.0ms	(* (/ k t) (* (/ k t) (/ t l)))
376.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
11.0ms	(* (/ k t) (/ t l))
115.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series368.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (/ k t) (* (/ k t) (/ t l)))
277.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
12.0ms	(* (/ k t) (/ t l))
49.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

simplify727.0ms

Counts

415 → 415

Iterations

Iter	Nodes
1	2135
0	608

prune5.6s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.6b

localize75.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (/ -2 (* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))) (- (* (sin k) (tan k))))
3.7b	(* (* (* (/ k t) (/ t l)) (/ t l)) t)
15.9b	(* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))
16.3b	(* (/ k t) (/ t l))

rewrite1.0s

Algorithm

rewrite-expression-head

Rules

410×	`add-cbrt-cube` `add-exp-log`
213×	`associate-*l/`
197×	`prod-exp` `cbrt-unprod`
184×	`times-frac`
144×	`cbrt-undiv` `div-exp`
142×	`frac-times`
109×	`associate-*r/`
106×	`associate-/r/`
75×	`add-sqr-sqrt`
63×	`*-un-lft-identity` `add-cube-cbrt`
29×	`pow1`
27×	`associate-l`
23×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in`
22×	`associate-/l*`
17×	`associate-r` `pow-prod-down`
11×	`div-inv`
6×	`associate-/r*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `frac-2neg` `tan-quot` `distribute-neg-frac` `associate-/l/`

Counts

4 → 415

Calls

4 calls:

458.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))) (- (* (sin k) (tan k))))
125.0ms	(* (* (* (/ k t) (/ t l)) (/ t l)) t)
426.0ms	(* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))
11.0ms	(* (/ k t) (/ t l))

series441.0ms

Counts

4 → 12

Calls

4 calls:

300.0ms	(/ (/ -2 (* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))) (- (* (sin k) (tan k))))
78.0ms	(* (* (* (/ k t) (/ t l)) (/ t l)) t)
53.0ms	(* (/ k t) (* (* (* (/ k t) (/ t l)) (/ t l)) t))
9.0ms	(* (/ k t) (/ t l))

simplify888.0ms

Counts

427 → 427

Iterations

Iter	Nodes
1	2273
0	707

prune6.3s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 5.5b

localize52.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (/ 1 (* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)) (tan k))
6.5b	(* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)
16.3b	(* (/ t l) (/ k t))
16.3b	(* (/ t l) (/ k t))

rewrite693.0ms

Algorithm

rewrite-expression-head

Rules

769×	`add-exp-log`
399×	`add-cbrt-cube`
372×	`prod-exp`
304×	`div-exp`
190×	`cbrt-unprod`
143×	`cbrt-undiv`
132×	`associate-*l/`
122×	`times-frac`
89×	`add-sqr-sqrt`
87×	`frac-times`
64×	`*-un-lft-identity` `add-cube-cbrt`
61×	`associate-/r/`
57×	`associate-*r/`
29×	`associate-r`
27×	`rec-exp` `1-exp` `associate-l`
26×	`pow1`
22×	`associate-/l*`
15×	`pow-prod-down`
9×	`div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `-commutative`
1×	`clear-num` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 406

Calls

4 calls:

405.0ms	(/ (/ 1 (* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)) (tan k))
229.0ms	(* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)
23.0ms	(* (/ t l) (/ k t))
22.0ms	(* (/ t l) (/ k t))

series340.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(/ (/ 1 (* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)) (tan k))
75.0ms	(* (* (* (/ t l) (/ k t)) (* (/ t l) (/ k t))) t)
10.0ms	(* (/ t l) (/ k t))
11.0ms	(* (/ t l) (/ k t))

simplify3.8s

Counts

418 → 418

Iterations

Iter	Nodes
2	6905
1	1989
0	691

prune6.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.3b

localize59.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ -2 (- (sin k))) (/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k)))
0.8b	(/ 1 (/ t (* (/ l k) (/ l k))))
1.7b	(/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k))
6.3b	(/ t (* (/ l k) (/ l k)))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

586×	`times-frac`
396×	`add-exp-log`
280×	`add-sqr-sqrt`
242×	`div-exp`
240×	`*-un-lft-identity`
236×	`add-cube-cbrt`
172×	`add-cbrt-cube`
110×	`associate-r`
98×	`cbrt-undiv`
92×	`prod-exp`
88×	`associate-/r/`
41×	`associate-/l*`
37×	`div-inv`
36×	`cbrt-unprod`
34×	`associate-l`
27×	`frac-times` `associate-l/` `associate-r/`
24×	`rec-exp` `1-exp`
14×	`associate-/r*`
12×	`unswap-sqr`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
7×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `neg-mul-1` `frac-2neg`
2×	`tan-quot`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 523

Calls

4 calls:

71.0ms	(* (/ -2 (- (sin k))) (/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k)))
16.0ms	(/ 1 (/ t (* (/ l k) (/ l k))))
43.0ms	(/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k))
18.0ms	(/ t (* (/ l k) (/ l k)))

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (/ -2 (- (sin k))) (/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k)))
81.0ms	(/ 1 (/ t (* (/ l k) (/ l k))))
660.0ms	(/ (/ 1 (/ t (* (/ l k) (/ l k)))) (tan k))
80.0ms	(/ t (* (/ l k) (/ l k)))

simplify1.7s

Counts

535 → 535

Iterations

Iter	Nodes
1	2272
0	726

prune7.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0b

regimes445.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.1b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	20
1	20
0	19

end0.0ms

sample39.7s

Algorithm

intervals

Results

12.9s	4196×	body	1280	valid
10.1s	2161×	body	2560	valid
8.8s	949×	body	5120	valid
5.0s	2529×	body	640	valid
1.3s	1002×	body	320	valid
734.0ms	2000×	body	80	valid
437.0ms	438×	body	160	valid