Details

sample1.1s

Algorithm

intervals

Results

323.0ms	128×	body	1280	valid
278.0ms	72×	body	2560	valid
244.0ms	39×	body	5120	valid
161.0ms	84×	body	640	valid
46.0ms	67×	body	80	valid
45.0ms	41×	body	320	valid
5.0ms	8×	body	160	valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
4	7380
3	1013
2	177
1	51
0	19

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (sin k) (tan k)) (/ k t))
0.3b	(* (sin k) (tan k))
0.4b	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
27.4b	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

713×	`add-cbrt-cube` `add-exp-log`
306×	`cbrt-undiv` `div-exp`
303×	`prod-exp` `cbrt-unprod`
32×	`times-frac`
26×	`associate-*r/`
24×	`associate-/r/`
21×	`add-sqr-sqrt`
19×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
17×	`frac-times` `associate-/l*`
16×	`associate-r`
15×	`tan-quot`
11×	`pow1`
5×	`div-inv`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative`
1×	`unswap-sqr` `associate-/l/`

Counts

4 → 323

Calls

4 calls:

33.0ms	(* (* (sin k) (tan k)) (/ k t))
20.0ms	(* (sin k) (tan k))
98.0ms	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
189.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

series834.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(* (* (sin k) (tan k)) (/ k t))
61.0ms	(* (sin k) (tan k))
231.0ms	(/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t)))
363.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) (/ k t)) (/ k t))) (* (/ t l) (* (/ t l) t)))

simplify4.2s

Counts

335 → 335

Iterations

Iter	Nodes
2	8002
1	1577
0	508

prune4.6s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sin k) (tan k)) k)
0.4b	(/ 2 (* (* (* (sin k) (tan k)) k) k))
5.8b	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
11.2b	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

rewrite703.0ms

Algorithm

rewrite-expression-head

Rules

522×	`add-exp-log`
445×	`times-frac`
292×	`prod-exp`
272×	`add-cbrt-cube`
188×	`div-exp`
181×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
123×	`cbrt-unprod`
110×	`associate-l`
96×	`cbrt-undiv`
58×	`associate-*l/`
55×	`1-exp`
47×	`div-inv`
30×	`associate-/r/`
29×	`tan-quot` `associate-*r/`
18×	`pow1`
14×	`associate-/r*`
11×	`associate-/l*`
9×	`pow-prod-down`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-/l/`

Counts

4 → 446

Calls

4 calls:

42.0ms	(* (* (sin k) (tan k)) k)
80.0ms	(/ 2 (* (* (* (sin k) (tan k)) k) k))
442.0ms	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
115.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

series882.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(* (* (sin k) (tan k)) k)
104.0ms	(/ 2 (* (* (* (sin k) (tan k)) k) k))
383.0ms	(* (/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l)) (* 1 (* 1 l)))
266.0ms	(/ (/ 2 (* (* (* (sin k) (tan k)) k) k)) (/ t l))

simplify987.0ms

Counts

458 → 458

Iterations

Iter	Nodes
1	2072
0	678

prune6.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 5.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
2.0b	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
2.8b	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l)))) (* (* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l)) l))
4.3b	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l))))

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

945×	`add-exp-log`
643×	`add-cbrt-cube`
459×	`times-frac`
441×	`prod-exp` `cbrt-unprod`
372×	`cbrt-undiv` `div-exp`
235×	`add-sqr-sqrt`
196×	`associate-l`
187×	`*-un-lft-identity` `add-cube-cbrt`
91×	`sqrt-prod`
85×	`cbrt-prod`
43×	`div-inv`
17×	`associate-*l/`
15×	`pow1`
14×	`unswap-sqr`
13×	`associate-/r/`
12×	`associate-*r/`
11×	`tan-quot` `associate-/l*`
7×	`associate-r` `pow-prod-down`
5×	`associate-/r*`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`frac-times` `clear-num` `frac-2neg` `pow1/3` `associate-/l/`

Counts

4 → 603

Calls

4 calls:

1.0ms	(cbrt l)
22.0ms	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
280.0ms	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l)))) (* (* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l)) l))
57.0ms	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l))))

series1.3s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt l)
109.0ms	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
570.0ms	(* (/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l)))) (* (* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l)) l))
339.0ms	(/ (/ (sqrt 2) (* (* (sin k) (tan k)) k)) (/ (* (cbrt t) (cbrt t)) (* (cbrt l) (cbrt l))))

simplify2.1s

Counts

615 → 615

Iterations

Iter	Nodes
1	2751
0	830

prune12.1s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 2.9b

localize91.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
2.0b	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
3.1b	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ (cbrt t) (cbrt l)))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

1729×	`times-frac`
718×	`add-sqr-sqrt`
670×	`*-un-lft-identity` `add-cube-cbrt`
628×	`cbrt-prod`
427×	`sqrt-prod`
136×	`associate-l`
64×	`div-inv`
42×	`associate-/r/`
41×	`tan-quot` `associate-*r/`
40×	`associate-/r*`
34×	`add-exp-log`
23×	`add-cbrt-cube`
16×	`cbrt-undiv` `div-exp`
14×	`associate-/l*` `unswap-sqr`
6×	`pow1` `associate-r`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3`
1×	`clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative` `associate-/l/`

Counts

4 → 844

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
33.0ms	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
46.0ms	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ (cbrt t) (cbrt l)))

series1.0s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt l)
294.0ms	(cbrt l)
145.0ms	(* (/ (/ (sqrt 2) k) (cbrt t)) (cbrt l))
328.0ms	(/ (/ (sqrt (sqrt 2)) (* (sin k) (tan k))) (/ (cbrt t) (cbrt l)))

simplify2.1s

Counts

856 → 856

Iterations

Iter	Nodes
1	3667
0	1122

prune18.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.0b

regimes548.0ms

Accuracy

0% (2.0b remaining)

Error of 2.6b against oracle of 0.6b and baseline of 2.6b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
2	36
1	36
0	31

end0.0ms

sample40.1s

Algorithm

intervals

Results

11.8s	4111×	body	1280	valid
10.0s	2119×	body	2560	valid
9.9s	947×	body	5120	valid
4.5s	2499×	body	640	valid
1.7s	992×	body	320	valid
1.3s	2008×	body	80	valid
424.0ms	447×	body	160	valid