Details

sample888.0ms

Algorithm

intervals

Results

253.0ms	108×	body	1280	valid
184.0ms	61×	body	2560	valid
176.0ms	106×	body	640	valid
167.0ms	24×	body	5120	valid
49.0ms	67×	body	80	valid
26.0ms	30×	body	320	valid
7.0ms	10×	body	160	valid

simplify1.8s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.9b

localize31.0ms

Local error

Found 4 expressions with local error:

24.2b	(* (/ t (/ l t)) (* (/ k t) (/ k t)))
6.8b	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
1.8b	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
1.2b	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))

rewrite225.0ms

Algorithm

rewrite-expression-head

Rules

3448×	`times-frac`
1229×	`add-sqr-sqrt`
1223×	`*-un-lft-identity` `add-cube-cbrt`
811×	`add-cbrt-cube` `add-exp-log`
502×	`cbrt-undiv` `div-exp`
241×	`associate-/l*`
189×	`prod-exp` `cbrt-unprod`
125×	`div-inv`
67×	`associate-/r/`
44×	`associate-l`
19×	`associate-/r*`
10×	`frac-times` `associate-*r/`
9×	`pow1` `associate-/l/`
6×	`associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `unswap-sqr`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 1335

Calls

4 calls:

Slowest

58.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
39.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
39.0ms	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))
31.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

353.0ms	(/ (/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k)) (tan k))
139.0ms	(/ (/ 2 (/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))) (sin k))
76.0ms	(/ (* (/ t (/ l t)) (* (/ k t) (/ k t))) (/ l t))
61.0ms	(* (/ t (/ l t)) (* (/ k t) (/ k t)))

simplify3.9s

Counts: 1347 → 1347

prune21.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 7.1b

localize36.0ms

Local error

Found 4 expressions with local error:

8.3b	(/ (* k k) l)
6.8b	(/ (/ (* k k) l) (/ l t))
1.8b	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
1.2b	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))

rewrite606.0ms

Algorithm

rewrite-expression-head

Rules

21124×	`times-frac`
7644×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
1184×	`associate-/l*`
1054×	`div-inv`
116×	`add-cbrt-cube` `add-exp-log`
80×	`cbrt-undiv` `div-exp`
66×	`associate-/r/`
22×	`associate-/r*`
7×	`prod-exp` `cbrt-unprod`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`associate-/l/`
1×	`tan-quot`

Counts

4 → 4927

Calls

4 calls:

Slowest

80.0ms	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))
40.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
21.0ms	(/ (/ (* k k) l) (/ l t))
8.0ms	(/ (* k k) l)

series941.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

638.0ms	(/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k))
227.0ms	(/ (/ (/ 2 (/ (/ (* k k) l) (/ l t))) (sin k)) (tan k))
40.0ms	(/ (/ (* k k) l) (/ l t))
34.0ms	(/ (* k k) l)

simplify23.0s

Counts: 4939 → 4939

prune1.4m

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0b

localize94.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (/ k l) (/ 1 t))
1.0b	(/ (sqrt 2) (/ k l))
0.7b	(/ (sqrt 2) (/ (/ k l) (/ 1 t)))
0.6b	(cbrt (tan k))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

4427×	`times-frac`
1909×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
567×	`sqrt-prod`
227×	`div-inv`
200×	`associate-/r*`
63×	`add-exp-log`
44×	`div-exp`
39×	`add-cbrt-cube`
25×	`associate-/l*`
24×	`cbrt-undiv`
10×	`associate-/r/`
4×	`pow1` `rec-exp` `1-exp` `insert-posit16` `add-log-exp`
3×	`cbrt-prod` `clear-num` `frac-2neg`
1×	`cbrt-div` `pow1/3` `tan-quot` `associate-/l/`

Counts

4 → 1596

Calls

4 calls:

Slowest

25.0ms	(/ (sqrt 2) (/ (/ k l) (/ 1 t)))
10.0ms	(/ (/ k l) (/ 1 t))
8.0ms	(/ (sqrt 2) (/ k l))
4.0ms	(cbrt (tan k))

series432.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

199.0ms	(cbrt (tan k))
107.0ms	(/ (sqrt 2) (/ (/ k l) (/ 1 t)))
75.0ms	(/ (sqrt 2) (/ k l))
51.0ms	(/ (/ k l) (/ 1 t))

simplify5.6s

Counts: 1608 → 1608

prune34.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

3.1b	(/ (/ k l) (/ 1 t))
1.2b	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))
0.9b	(/ 1 (/ k l))
0.7b	(/ 2 (/ (/ k l) (/ 1 t)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

2633×	`times-frac`
1151×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
588×	`add-exp-log`
448×	`div-exp`
203×	`associate-/r*`
182×	`add-cbrt-cube`
144×	`div-inv`
124×	`cbrt-undiv`
77×	`prod-exp`
42×	`rec-exp` `1-exp`
21×	`cbrt-unprod`
20×	`associate-/l*`
8×	`associate-/r/`
5×	`pow1`
4×	`clear-num` `frac-2neg` `insert-posit16` `add-log-exp` `associate-/l/`
1×	`frac-times` `associate-l/` `tan-quot` `associate-r/` `pow-flip` `inv-pow`

Counts

4 → 1144

Calls

4 calls:

Slowest

65.0ms	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))
18.0ms	(/ (/ k l) (/ 1 t))
14.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
6.0ms	(/ 1 (/ k l))

series366.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

268.0ms	(/ (* (/ 1 (/ k l)) (/ (/ 2 (/ (/ k l) (/ 1 t))) (sin k))) (tan k))
43.0ms	(/ (/ k l) (/ 1 t))
40.0ms	(/ 2 (/ (/ k l) (/ 1 t)))
15.0ms	(/ 1 (/ k l))

simplify6.1s

Counts: 1156 → 1156

prune16.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes247.0ms

Accuracy

0% (1.0b remaining)

Error of 1.3b against oracle of 0.3b and baseline of 1.3b

bsearch3.0ms

end0.0ms

sample41.1s

Algorithm

intervals

Results

13.4s	4091×	body	1280	valid
10.6s	2282×	body	2560	valid
7.8s	945×	body	5120	valid
5.9s	2544×	body	640	valid
1.4s	953×	body	320	valid
921.0ms	2050×	body	80	valid
418.0ms	439×	body	160	valid