Details

sample965.0ms

Algorithm

intervals

Results

261.0ms	65×	body	2560	valid
250.0ms	28×	body	5120	valid
239.0ms	103×	body	1280	valid
113.0ms	76×	body	640	valid
45.0ms	43×	body	320	valid
22.0ms	66×	body	80	valid
12.0ms	19×	body	160	valid

simplify4.7s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.5b

localize36.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (/ k t) (* (/ k t) (/ t l)))
3.3b	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
14.0b	(* (/ k t) (/ t l))
20.9b	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

rewrite457.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 407

Calls

4 calls:

41.0ms	(* (/ k t) (* (/ k t) (/ t l)))
232.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
27.0ms	(* (/ k t) (/ t l))
129.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

series494.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* (/ k t) (* (/ k t) (/ t l)))
367.0ms	(/ (/ 2 (* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))) (* (sin k) (tan k)))
16.0ms	(* (/ k t) (/ t l))
74.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (* (/ t l) t))

simplify1.1s

Counts

419 → 419

Iterations

Iter	Nodes
1	2078
0	612

prune6.0s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.0b

localize68.0ms

Local error

Found 4 expressions with local error:

3.0b	(* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)
3.3b	(/ (/ 2 (* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)) (* (sin k) (tan k)))
14.0b	(* (/ k t) (/ t l))
14.7b	(* (* (/ k t) (* (/ k t) (/ t l))) (/ t l))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

683×	`add-cbrt-cube` `add-exp-log`
330×	`prod-exp` `cbrt-unprod`
250×	`cbrt-undiv` `div-exp`
98×	`associate-*l/`
69×	`frac-times`
59×	`times-frac`
46×	`associate-*r/`
42×	`add-sqr-sqrt`
31×	`associate-/r/`
30×	`*-un-lft-identity` `add-cube-cbrt`
29×	`pow1` `associate-r`
22×	`associate-/l*`
17×	`pow-prod-down`
15×	`associate-l`
6×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 380

Calls

4 calls:

491.0ms	(* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)
401.0ms	(/ (/ 2 (* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)) (* (sin k) (tan k)))
16.0ms	(* (/ k t) (/ t l))
160.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (/ t l))

series513.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)
384.0ms	(/ (/ 2 (* (* (* (/ k t) (* (/ k t) (/ t l))) (/ t l)) t)) (* (sin k) (tan k)))
15.0ms	(* (/ k t) (/ t l))
46.0ms	(* (* (/ k t) (* (/ k t) (/ t l))) (/ t l))

simplify1.1s

Counts

392 → 392

Iterations

Iter	Nodes
1	2002
0	591

prune5.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 2.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))
4.8b	(* (/ 1 (* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))) (/ (/ 2 t) (tan k)))
13.0b	(* (/ k t) t)
13.0b	(* (/ k t) t)

rewrite1.3s

Algorithm

rewrite-expression-head

Rules

1390×	`add-exp-log`
659×	`prod-exp`
595×	`div-exp`
580×	`add-cbrt-cube`
257×	`cbrt-unprod`
241×	`cbrt-undiv`
92×	`times-frac`
78×	`add-sqr-sqrt`
58×	`*-un-lft-identity` `add-cube-cbrt`
54×	`rec-exp` `1-exp`
51×	`associate-r`
39×	`associate-l`
15×	`pow1`
9×	`associate-*r/`
8×	`unswap-sqr`
7×	`div-inv`
6×	`pow-prod-down`
5×	`associate-*l/`
4×	`expm1-log1p-u` `associate-/r/` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times`
1×	`tan-quot`

Counts

4 → 419

Calls

4 calls:

154.0ms	(* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))
1.1s	(* (/ 1 (* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))) (/ (/ 2 t) (tan k)))
10.0ms	(* (/ k t) t)
18.0ms	(* (/ k t) t)

series474.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))
366.0ms	(* (/ 1 (* (sin k) (* (/ (* (/ k t) t) l) (/ (* (/ k t) t) l)))) (/ (/ 2 t) (tan k)))
11.0ms	(* (/ k t) t)
8.0ms	(* (/ k t) t)

simplify6.6s

Counts

431 → 431

Iterations

Iter	Nodes
2	8371
1	1991
0	667

prune6.4s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 1.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (/ 2 t) (tan k))
0.4b	(/ (sin k) (* (/ l k) (/ l k)))
0.6b	(/ 1 (/ (sin k) (* (/ l k) (/ l k))))
4.8b	(* (/ 1 (/ (sin k) (* (/ l k) (/ l k)))) (/ (/ 2 t) (tan k)))

rewrite159.0ms

Algorithm

rewrite-expression-head

Rules

396×	`add-exp-log`
258×	`times-frac`
225×	`div-exp`
172×	`add-cbrt-cube`
170×	`add-sqr-sqrt`
125×	`*-un-lft-identity`
119×	`add-cube-cbrt`
109×	`prod-exp`
93×	`cbrt-undiv`
44×	`associate-r`
41×	`cbrt-unprod`
35×	`associate-l`
28×	`associate-/r/`
24×	`rec-exp` `1-exp`
19×	`div-inv` `associate-/l*`
15×	`unswap-sqr`
14×	`associate-/r*`
9×	`frac-times` `associate-l/` `associate-r/`
7×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`tan-quot`
1×	`pow-prod-down` `*-commutative` `pow-flip` `inv-pow` `associate-/l/`

Counts

4 → 377

Calls

4 calls:

8.0ms	(/ (/ 2 t) (tan k))
14.0ms	(/ (sin k) (* (/ l k) (/ l k)))
28.0ms	(/ 1 (/ (sin k) (* (/ l k) (/ l k))))
99.0ms	(* (/ 1 (/ (sin k) (* (/ l k) (/ l k)))) (/ (/ 2 t) (tan k)))

series508.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (/ 2 t) (tan k))
74.0ms	(/ (sin k) (* (/ l k) (/ l k)))
92.0ms	(/ 1 (/ (sin k) (* (/ l k) (/ l k))))
197.0ms	(* (/ 1 (/ (sin k) (* (/ l k) (/ l k)))) (/ (/ 2 t) (tan k)))

simplify3.5s

Counts

389 → 389

Iterations

Iter	Nodes
2	6193
1	1679
0	551

prune4.9s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes432.0ms

Accuracy

0% (2.4b remaining)

Error of 2.5b against oracle of 0.1b and baseline of 2.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	16

end0.0ms

sample41.9s

Algorithm

intervals

Results

13.0s	4149×	body	1280	valid
10.5s	2174×	body	2560	valid
8.8s	980×	body	5120	valid
5.7s	2510×	body	640	valid
1.5s	1061×	body	320	valid
972.0ms	2122×	body	80	valid
769.0ms	447×	body	160	valid