Details

sample1.4s

Algorithm

intervals

Results

527.0ms	69×	body	2560	valid
317.0ms	33×	body	5120	valid
304.0ms	126×	body	1280	valid
122.0ms	82×	body	640	valid
36.0ms	33×	body	320	valid
28.0ms	82×	body	80	valid
10.0ms	15×	body	160	valid

simplify670.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
3	1021
2	177
1	51
0	19

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 30.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2 t) (tan k))
0.8b	(/ (* (/ l t) (/ l t)) (sin k))
1.2b	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
29.7b	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

837×	`add-cbrt-cube` `add-exp-log`
453×	`cbrt-undiv` `div-exp`
260×	`prod-exp` `cbrt-unprod`
157×	`times-frac`
103×	`add-sqr-sqrt`
85×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-l`
15×	`associate-/l*`
12×	`div-inv`
7×	`associate-/r` `associate-r*` `associate-/l/`
6×	`pow1` `unswap-sqr`
5×	`associate-/r/`
4×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`tan-quot`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 427

Calls

4 calls:

11.0ms	(/ (/ 2 t) (tan k))
14.0ms	(/ (* (/ l t) (/ l t)) (sin k))
54.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
64.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

series991.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (/ 2 t) (tan k))
103.0ms	(/ (* (/ l t) (/ l t)) (sin k))
341.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
407.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

simplify925.0ms

Counts

439 → 439

Iterations

Iter	Nodes
done	2001
1	1933
0	606

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.3b

localize54.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ (* (/ l t) (/ l t)) (sin k))
6.6b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
16.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))
18.3b	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

rewrite265.0ms

Algorithm

rewrite-expression-head

Rules

4259×	`times-frac`
1922×	`add-sqr-sqrt`
1735×	`*-un-lft-identity` `add-cube-cbrt`
784×	`add-cbrt-cube` `add-exp-log`
577×	`associate-l`
507×	`cbrt-undiv` `div-exp`
244×	`div-inv`
159×	`prod-exp` `cbrt-unprod`
96×	`associate-r`
52×	`associate-/l*`
35×	`unswap-sqr`
31×	`associate-/r/`
29×	`associate-/r*`
27×	`tan-quot`
6×	`pow1`
5×	`associate-/l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`frac-times` `associate-l/` `associate-r/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 1744

Calls

4 calls:

19.0ms	(/ (* (/ l t) (/ l t)) (sin k))
113.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
20.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
30.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

series623.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(/ (* (/ l t) (/ l t)) (sin k))
312.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
110.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
115.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

simplify1.8s

Counts

1756 → 1756

Iterations

Iter	Nodes
done	2416
0	2416

prune15.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.3b

localize77.0ms

Local error

Found 4 expressions with local error:

2.5b	(/ (/ l t) (sin k))
6.5b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
14.2b	(/ (/ (/ l t) (sin k)) (/ k t))
16.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))

rewrite311.0ms

Algorithm

rewrite-expression-head

Rules

6327×	`times-frac`
2972×	`add-sqr-sqrt`
2625×	`*-un-lft-identity`
2562×	`add-cube-cbrt`
577×	`associate-l`
461×	`add-exp-log`
352×	`div-exp`
318×	`div-inv`
209×	`add-cbrt-cube`
135×	`cbrt-undiv`
133×	`associate-r`
100×	`associate-/l*`
77×	`prod-exp` `unswap-sqr`
63×	`1-exp`
30×	`associate-/r/`
29×	`associate-/r*`
28×	`cbrt-unprod`
27×	`tan-quot`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 2278

Calls

4 calls:

23.0ms	(/ (/ l t) (sin k))
126.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
24.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
18.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

series615.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (/ l t) (sin k))
230.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
113.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
170.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

simplify3.1s

Counts

2290 → 2290

Iterations

Iter	Nodes
done	3469
0	3469

prune20.0s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.9b

localize72.0ms

Local error

Found 4 expressions with local error:

2.5b	(/ (/ l t) (sin k))
4.0b	(/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t)))
6.5b	(* (/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
14.2b	(/ (/ (/ l t) (sin k)) (/ k t))

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

14050×	`times-frac`
6483×	`add-sqr-sqrt`
5760×	`*-un-lft-identity`
5643×	`add-cube-cbrt`
2579×	`cbrt-prod`
1567×	`associate-l`
461×	`add-exp-log`
444×	`div-inv`
352×	`div-exp`
184×	`add-cbrt-cube`
143×	`unswap-sqr`
135×	`cbrt-undiv`
133×	`associate-r`
127×	`associate-/l*`
77×	`prod-exp`
63×	`1-exp`
48×	`associate-/r/`
45×	`tan-quot`
38×	`associate-/r*`
28×	`cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-/l/`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 4360

Calls

4 calls:

15.0ms	(/ (/ l t) (sin k))
38.0ms	(/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t)))
186.0ms	(* (/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
21.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

series573.0ms

Counts

4 → 12

Calls

4 calls:

103.0ms	(/ (/ l t) (sin k))
117.0ms	(/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t)))
246.0ms	(* (/ (/ (/ 2 (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
107.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

simplify4.8s

Counts

4372 → 4372

Iterations

Iter	Nodes
done	5180
0	5180

prune51.4s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 4.0b

regimes840.0ms

Accuracy

0% (1.7b remaining)

Error of 7.7b against oracle of 5.9b and baseline of 7.7b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	32
1	32
0	26

end0.0ms

sample40.9s

Algorithm

intervals

Results

12.1s	4010×	body	1280	valid
10.5s	2225×	body	2560	valid
8.7s	959×	body	5120	valid
5.4s	2530×	body	640	valid
1.5s	1018×	body	320	valid
1.2s	1998×	body	80	valid
891.0ms	456×	body	160	valid