Details

sample756.0ms

Algorithm

intervals

Results

220.0ms	67×	body	2560	valid
198.0ms	138×	body	1280	valid
197.0ms	26×	body	5120	valid
73.0ms	85×	body	640	valid
23.0ms	34×	body	320	valid
13.0ms	69×	body	80	valid
4.0ms	10×	body	160	valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2 (/ t (* (/ l t) (/ l t))))
1.2b	(/ t (* (/ l t) (/ l t)))
2.9b	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
30.6b	(/ (/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k))) (* (/ k t) (/ k t)))

rewrite200.0ms

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:

19.0ms	(/ 2 (/ t (* (/ l t) (/ l t))))
15.0ms	(/ t (* (/ l t) (/ l t)))
35.0ms	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
81.0ms	(/ (/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k))) (* (/ k t) (/ k t)))

series740.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(/ 2 (/ t (* (/ l t) (/ l t))))
54.0ms	(/ t (* (/ l t) (/ l t)))
305.0ms	(/ (/ 2 (/ t (* (/ l t) (/ l t)))) (* (tan k) (sin k)))
331.0ms	(/ (/ (/ 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

prune2.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.8b

localize80.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ (/ l t) (tan k))
9.8b	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
10.1b	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
17.6b	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

rewrite5.7s

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:

19.0ms	(/ (/ l t) (tan k))
137.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
35.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
959.0ms	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

series1.6s

Counts

4 → 12

Calls

4 calls:

232.0ms	(/ (/ l t) (tan k))
690.0ms	(* (/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t)) (/ (/ l t) (tan k)))
256.0ms	(/ (* (/ (cbrt 2) (cbrt t)) (/ (cbrt 2) (cbrt t))) (/ k t))
411.0ms	(/ (/ (/ (cbrt 2) (/ (cbrt t) (/ l t))) (sin k)) (/ k t))

simplify37.0s

Counts

21524 → 21524

Iterations

Iter	Nodes
done	31472
0	31472

prune3.9m

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 9.8b

localize89.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (/ l t))
15.9b	(cbrt (/ k t))
15.9b	(cbrt (/ k t))
15.9b	(cbrt (/ k t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt (/ l t))
2.0ms	(cbrt (/ k t))
2.0ms	(cbrt (/ k t))
2.0ms	(cbrt (/ k t))

series255.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt (/ l t))
64.0ms	(cbrt (/ k t))
65.0ms	(cbrt (/ k t))
66.0ms	(cbrt (/ k t))

simplify1.1s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
4	2026
3	720
2	335
1	196
0	134

prune875.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 9.8b

localize99.0ms

Local error

Found 4 expressions with local error:

15.1b	(cbrt (/ l t))
15.9b	(cbrt (/ k t))
15.9b	(cbrt (/ k t))
15.9b	(cbrt (/ k t))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-prod`
36×	`times-frac`
32×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `cbrt-div` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt (/ l t))
2.0ms	(cbrt (/ k t))
2.0ms	(cbrt (/ k t))
2.0ms	(cbrt (/ k t))

series255.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(cbrt (/ l t))
65.0ms	(cbrt (/ k t))
59.0ms	(cbrt (/ k t))
65.0ms	(cbrt (/ k t))

simplify1.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
4	2026
3	720
2	335
1	196
0	134

prune871.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 9.8b

regimes566.0ms

Accuracy

0% (3.7b remaining)

Error of 11.5b against oracle of 7.8b and baseline of 11.5b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	36
1	36
0	31

end0.0ms

sample19.8s

Algorithm

intervals

Results

6.0s	2252×	body	2560	valid
5.0s	992×	body	5120	valid
4.9s	4083×	body	1280	valid
2.3s	2539×	body	640	valid
564.0ms	1986×	body	80	valid
526.0ms	993×	body	320	valid
124.0ms	430×	body	160	valid