Details

sample939.0ms

Algorithm

intervals

Results

310.0ms	38×	body	5120	valid
224.0ms	75×	body	2560	valid
223.0ms	135×	body	1280	valid
90.0ms	72×	body	640	valid
38.0ms	44×	body	320	valid
17.0ms	60×	body	80	valid
11.0ms	18×	body	160	valid

simplify2.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
3	1013
2	173
1	51
0	19

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 31.3b

localize65.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ 2 (/ t (* (/ l t) (/ l t))))
1.7b	(/ t (* (/ l t) (/ l t)))
2.5b	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
29.9b	(/ (/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k))) (* (/ k t) (/ k t)))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

685×	`add-cbrt-cube` `add-exp-log`
423×	`cbrt-undiv` `div-exp`
346×	`times-frac`
158×	`prod-exp` `cbrt-unprod`
95×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
81×	`associate-/l*`
62×	`associate-/r/`
26×	`div-inv`
21×	`associate-*l/`
18×	`frac-times` `associate-*r/`
13×	`associate-/r*`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`tan-quot`
2×	`associate-/l/`

Counts

4 → 456

Calls

4 calls:

15.0ms	(/ 2 (/ t (* (/ l t) (/ l t))))
10.0ms	(/ t (* (/ l t) (/ l t)))
29.0ms	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
52.0ms	(/ (/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k))) (* (/ k t) (/ k t)))

series723.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(/ 2 (/ t (* (/ l t) (/ l t))))
58.0ms	(/ t (* (/ l t) (/ l t)))
254.0ms	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
350.0ms	(/ (/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k))) (* (/ k t) (/ k t)))

simplify1.6s

Counts

468 → 468

Iterations

Iter	Nodes
done	5000
1	1934
0	648

prune2.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.0b

localize115.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (/ l t) (tan k))
8.2b	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
9.9b	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
17.5b	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

rewrite3.1s

Algorithm

rewrite-expression-head

Rules

108813×	`times-frac`
42189×	`add-sqr-sqrt`
42159×	`*-un-lft-identity` `add-cube-cbrt`
20286×	`cbrt-prod`
3349×	`div-inv`
1527×	`associate-/l*`
299×	`associate-/r/`
287×	`add-exp-log`
213×	`add-cbrt-cube`
163×	`cbrt-undiv` `div-exp`
65×	`prod-exp` `cbrt-unprod`
44×	`associate-r`
29×	`associate-/r*`
18×	`associate-l`
9×	`unswap-sqr`
6×	`pow1`
5×	`associate-/l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `tan-quot` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 21512

Calls

4 calls:

15.0ms	(/ (/ l t) (tan k))
111.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
30.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
96.0ms	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

series1.6s

Counts

4 → 12

Calls

4 calls:

199.0ms	(/ (/ l t) (tan k))
675.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
260.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
432.0ms	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

simplify36.7s

Counts

21524 → 21524

Iterations

Iter	Nodes
done	31472
0	31472

prune4.1m

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 9.0b

localize108.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (/ l t) (tan k))
5.8b	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
8.2b	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
9.9b	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

13053×	`times-frac`
4365×	`add-sqr-sqrt`
4335×	`*-un-lft-identity` `add-cube-cbrt`
2160×	`sqrt-prod`
1407×	`add-exp-log`
1247×	`div-inv`
1080×	`cbrt-prod`
993×	`div-exp`
573×	`associate-/l*`
348×	`add-cbrt-cube`
325×	`prod-exp`
310×	`cbrt-undiv`
185×	`associate-/r/`
135×	`1-exp`
117×	`cbrt-unprod`
50×	`rec-exp`
44×	`associate-r`
21×	`associate-/r*`
18×	`associate-l`
9×	`unswap-sqr`
6×	`pow1`
5×	`associate-/l/`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `tan-quot` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 3871

Calls

4 calls:

8.0ms	(/ (/ l t) (tan k))
47.0ms	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
46.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
14.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))

series954.0ms

Counts

4 → 12

Calls

4 calls:

158.0ms	(/ (/ l t) (tan k))
144.0ms	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
475.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
177.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))

simplify5.1s

Counts

3883 → 3883

Iterations

Iter	Nodes
done	5753
0	5753

prune39.5s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 5.1b

localize152.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ (/ l t) (tan k))
5.1b	(* (/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t))) (/ (/ l t) (tan k)))
5.8b	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
6.4b	(/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t)))

rewrite648.0ms

Algorithm

rewrite-expression-head

Rules

17979×	`times-frac`
6747×	`add-sqr-sqrt`
6492×	`*-un-lft-identity` `add-cube-cbrt`
3480×	`cbrt-prod`
2160×	`sqrt-prod`
1370×	`div-inv`
1255×	`add-exp-log`
915×	`div-exp`
885×	`associate-l`
612×	`associate-/l*`
275×	`prod-exp`
236×	`add-cbrt-cube`
232×	`cbrt-undiv`
185×	`associate-/r/`
135×	`1-exp`
67×	`cbrt-unprod`
50×	`rec-exp`
48×	`unswap-sqr`
44×	`associate-r`
30×	`associate-/r*`
6×	`pow1`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
2×	`tan-quot`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 5642

Calls

4 calls:

8.0ms	(/ (/ l t) (tan k))
59.0ms	(* (/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t))) (/ (/ l t) (tan k)))
45.0ms	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
11.0ms	(/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t)))

series561.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(/ (/ l t) (tan k))
240.0ms	(* (/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t))) (/ (/ l t) (tan k)))
136.0ms	(/ (/ (/ (sqrt (cbrt 2)) (/ 1 (/ (* (cbrt l) (cbrt l)) (* (cbrt t) (cbrt t))))) 1) (/ (* (cbrt k) (cbrt k)) (* (cbrt t) (cbrt t))))
39.0ms	(/ (/ (cbrt 2) (cbrt t)) (/ k (cbrt t)))

simplify6.9s

Counts

5654 → 5654

Iterations

Iter	Nodes
done	7192
0	7192

prune1.0m

Pruning

32 alts after pruning (32 fresh and 0 done)

Merged error: 3.8b

regimes1.2s

Accuracy

0% (2.0b remaining)

Error of 4.6b against oracle of 2.5b and baseline of 4.6b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	48
1	48
0	41

end0.0ms

sample25.8s

Algorithm

intervals

Results

8.4s	4119×	body	1280	valid
6.2s	2198×	body	2560	valid
5.4s	997×	body	5120	valid
3.2s	2518×	body	640	valid
1.3s	1003×	body	320	valid
600.0ms	1997×	body	80	valid
307.0ms	427×	body	160	valid