Details

sample1.3s

Algorithm

intervals

Results

416.0ms	82×	body	640	valid
311.0ms	131×	body	1280	valid
248.0ms	65×	body	2560	valid
205.0ms	36×	body	5120	valid
37.0ms	36×	body	320	valid
16.0ms	57×	body	80	valid
14.0ms	23×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2 t) (tan k))
1.8b	(/ (* (/ l t) (/ l t)) (sin k))
2.0b	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
31.3b	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

rewrite142.0ms

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:

9.0ms	(/ (/ 2 t) (tan k))
21.0ms	(/ (* (/ l t) (/ l t)) (sin k))
51.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
43.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

series851.0ms

Counts

4 → 12

Calls

4 calls:

112.0ms	(/ (/ 2 t) (tan k))
89.0ms	(/ (* (/ l t) (/ l t)) (sin k))
293.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
358.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

simplify1.2s

Counts

439 → 439

Iterations

Iter	Nodes
done	2001
2	2001
1	1933
0	606

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 15.0b

localize45.0ms

Local error

Found 4 expressions with local error:

1.8b	(/ (* (/ l t) (/ l t)) (sin k))
6.5b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
13.9b	(/ (/ (/ 2 t) (tan k)) (/ k t))
19.2b	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

rewrite268.0ms

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:

20.0ms	(/ (* (/ l t) (/ l t)) (sin k))
107.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
25.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
24.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

series700.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (* (/ l t) (/ l t)) (sin k))
340.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
130.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
132.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

simplify1.7s

Counts

1756 → 1756

Iterations

Iter	Nodes
done	2416
0	2416

prune15.6s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.4b

localize62.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (/ l t) (sin k))
7.4b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
13.8b	(/ (/ (/ l t) (sin k)) (/ k t))
13.9b	(/ (/ (/ 2 t) (tan k)) (/ k t))

rewrite304.0ms

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:

14.0ms	(/ (/ l t) (sin k))
87.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
26.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
17.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

series648.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(/ (/ l t) (sin k))
247.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
113.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
178.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

simplify3.0s

Counts

2290 → 2290

Iterations

Iter	Nodes
done	3469
0	3469

prune20.9s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.3b

localize84.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ (/ l t) (sin k))
3.7b	(/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t)))
7.4b	(* (/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
13.8b	(/ (/ (/ l t) (sin k)) (/ k t))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

23604×	`times-frac`
10769×	`add-sqr-sqrt`
9648×	`*-un-lft-identity`
9477×	`add-cube-cbrt`
4821×	`cbrt-prod`
2755×	`associate-l`
2496×	`sqrt-prod`
552×	`div-inv`
461×	`add-exp-log`
352×	`div-exp`
209×	`unswap-sqr`
184×	`add-cbrt-cube`
181×	`associate-/l*`
135×	`cbrt-undiv`
133×	`associate-r`
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 → 6856

Calls

4 calls:

31.0ms	(/ (/ l t) (sin k))
26.0ms	(/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t)))
616.0ms	(* (/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
16.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

series728.0ms

Counts

4 → 12

Calls

4 calls:

106.0ms	(/ (/ l t) (sin k))
217.0ms	(/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t)))
299.0ms	(* (/ (/ (/ (sqrt 2) (cbrt t)) (tan k)) (/ k (cbrt t))) (/ (/ (/ l t) 1) 1))
106.0ms	(/ (/ (/ l t) (sin k)) (/ k t))

simplify6.4s

Counts

6868 → 6868

Iterations

Iter	Nodes
done	6415
0	6415

prune1.3m

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 5.5b

regimes808.0ms

Accuracy

0% (2.1b remaining)

Error of 8.3b against oracle of 6.2b and baseline of 8.3b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	39
1	39
0	33

end0.0ms

sample37.0s

Algorithm

intervals

Results

10.4s	4042×	body	1280	valid
10.3s	2197×	body	2560	valid
8.0s	909×	body	5120	valid
5.1s	2514×	body	640	valid
1.3s	972×	body	320	valid
1.1s	2000×	body	80	valid
335.0ms	457×	body	160	valid