Details

sample1.3s

Algorithm

intervals

Results

546.0ms	33×	body	5120	valid
273.0ms	129×	body	1280	valid
257.0ms	73×	body	2560	valid
155.0ms	87×	body	640	valid
25.0ms	28×	body	320	valid
19.0ms	67×	body	80	valid
8.0ms	14×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
4	2001
3	1021
2	177
1	51
0	19

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2 t) (tan k))
1.2b	(/ (* (/ l t) (/ l t)) (sin k))
1.8b	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
26.8b	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

rewrite129.0ms

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:

8.0ms	(/ (/ 2 t) (tan k))
14.0ms	(/ (* (/ l t) (/ l t)) (sin k))
43.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
47.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

series748.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(/ (/ 2 t) (tan k))
76.0ms	(/ (* (/ l t) (/ l t)) (sin k))
254.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
312.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

simplify1.5s

Counts

439 → 439

Iterations

Iter	Nodes
done	2001
2	2001
1	1933
0	606

prune6.4s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.4b

localize49.0ms

Local error

Found 4 expressions with local error:

1.2b	(/ (* (/ l t) (/ l t)) (sin k))
4.6b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
12.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))
17.4b	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

rewrite296.0ms

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:

14.0ms	(/ (* (/ l t) (/ l t)) (sin k))
141.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
17.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
34.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

series849.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(/ (* (/ l t) (/ l t)) (sin k))
399.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
167.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
181.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

simplify2.3s

Counts

1756 → 1756

Iterations

Iter	Nodes
done	2416
0	2416

prune29.6s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.2b

localize70.0ms

Local error

Found 4 expressions with local error:

2.3b	(/ (/ l t) (sin k))
4.9b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
11.4b	(/ (/ (/ l t) (sin k)) (/ k t))
12.7b	(/ (/ (/ 2 t) (tan k)) (/ k t))

rewrite337.0ms

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:

9.0ms	(/ (/ l t) (sin k))
109.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
21.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
16.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

series604.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(/ (/ l t) (sin k))
247.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
103.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
166.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

simplify2.5s

Counts

2290 → 2290

Iterations

Iter	Nodes
done	3469
0	3469

prune41.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (cos k) (* k (sin k)))
2.3b	(/ (/ l t) (sin k))
4.9b	(* (* 2 (/ (cos k) (* k (sin k)))) (/ (/ (/ l t) 1) 1))
11.4b	(/ (/ (/ l t) (sin k)) (/ k t))

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

2284×	`times-frac`
995×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
241×	`add-exp-log`
133×	`associate-r`
130×	`div-exp`
120×	`div-inv`
115×	`add-cbrt-cube`
89×	`prod-exp`
59×	`associate-/l*`
52×	`cbrt-undiv`
36×	`1-exp`
33×	`cbrt-unprod`
17×	`associate-/r*`
9×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `pow-prod-down` `associate-*r/`
2×	`associate-/l/`
1×	`frac-times` `associate-l` `associate-l/` `associate-/r/` `-commutative`

Counts

4 → 949

Calls

4 calls:

12.0ms	(/ (cos k) (* k (sin k)))
10.0ms	(/ (/ l t) (sin k))
92.0ms	(* (* 2 (/ (cos k) (* k (sin k)))) (/ (/ (/ l t) 1) 1))
19.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

series448.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (cos k) (* k (sin k)))
123.0ms	(/ (/ l t) (sin k))
163.0ms	(* (* 2 (/ (cos k) (* k (sin k)))) (/ (/ (/ l t) 1) 1))
112.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

simplify1.9s

Counts

961 → 961

Iterations

Iter	Nodes
done	2000
1	2000
0	1743

prune15.7s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 3.2b

regimes692.0ms

Accuracy

0% (2.0b remaining)

Error of 7.0b against oracle of 5.0b and baseline of 7.0b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	27
1	27
0	20

end0.0ms

sample39.9s

Algorithm

intervals

Results

11.7s	3932×	body	1280	valid
10.6s	2267×	body	2560	valid
8.4s	1003×	body	5120	valid
5.7s	2604×	body	640	valid
1.7s	977×	body	320	valid
847.0ms	1964×	body	80	valid
349.0ms	441×	body	160	valid