Details

sample953.0ms

Algorithm

intervals

Results

263.0ms	137×	body	1280	valid
257.0ms	67×	body	2560	valid
196.0ms	98×	body	640	valid
135.0ms	18×	body	5120	valid
48.0ms	26×	body	320	valid
21.0ms	66×	body	80	valid
6.0ms	10×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

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

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.9b

localize57.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2 t) (tan k))
1.3b	(/ (* (/ l t) (/ l t)) (sin k))
1.8b	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
26.2b	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

rewrite223.0ms

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:

16.0ms	(/ (/ 2 t) (tan k))
27.0ms	(/ (* (/ l t) (/ l t)) (sin k))
77.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
75.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

series905.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(/ (/ 2 t) (tan k))
95.0ms	(/ (* (/ l t) (/ l t)) (sin k))
287.0ms	(* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k)))
403.0ms	(/ (* (/ (/ 2 t) (tan k)) (/ (* (/ l t) (/ l t)) (sin k))) (* (/ k t) (/ k t)))

simplify1.1s

Counts

439 → 439

Iterations

Iter	Nodes
done	2001
2	2001
1	1933
0	606

prune1.9s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 12.9b

localize55.0ms

Local error

Found 4 expressions with local error:

1.3b	(/ (* (/ l t) (/ l t)) (sin k))
6.7b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
13.2b	(/ (/ (/ 2 t) (tan k)) (/ k t))
14.8b	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

rewrite497.0ms

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:

16.0ms	(/ (* (/ l t) (/ l t)) (sin k))
359.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
21.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
32.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

series789.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(/ (* (/ l t) (/ l t)) (sin k))
365.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t)))
136.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))
174.0ms	(/ (/ (* (/ l t) (/ l t)) (sin k)) (/ k t))

simplify2.1s

Counts

1756 → 1756

Iterations

Iter	Nodes
done	2416
0	2416

prune15.4s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 7.8b

localize37.0ms

Local error

Found 4 expressions with local error:

3.0b	(/ (/ l t) (sin k))
7.4b	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
13.0b	(/ (/ (/ l t) (sin k)) (/ k t))
13.2b	(/ (/ (/ 2 t) (tan k)) (/ k t))

rewrite374.0ms

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:

17.0ms	(/ (/ l t) (sin k))
127.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
30.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
17.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

series640.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ (/ l t) (sin k))
220.0ms	(* (/ (/ (/ 2 t) (tan k)) (/ k t)) (/ (/ (/ l t) 1) 1))
127.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
182.0ms	(/ (/ (/ 2 t) (tan k)) (/ k t))

simplify3.0s

Counts

2290 → 2290

Iterations

Iter	Nodes
done	3469
0	3469

prune20.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.3b

localize76.0ms

Local error

Found 4 expressions with local error:

13.0b	(/ (/ (/ l t) (sin k)) (/ k t))
13.7b	(cbrt (/ k t))
13.7b	(cbrt (/ k t))
13.7b	(cbrt (/ k t))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

1906×	`times-frac`
823×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
104×	`div-inv`
43×	`associate-/l*`
39×	`cbrt-prod`
25×	`add-cbrt-cube` `add-exp-log`
15×	`cbrt-undiv` `div-exp`
13×	`associate-/r*`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`clear-num` `frac-2neg` `associate-/r/` `associate-/l/`

Counts

4 → 717

Calls

4 calls:

27.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
1.0ms	(cbrt (/ k t))
1.0ms	(cbrt (/ k t))
2.0ms	(cbrt (/ k t))

series378.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(/ (/ (/ l t) (sin k)) (/ k t))
85.0ms	(cbrt (/ k t))
73.0ms	(cbrt (/ k t))
104.0ms	(cbrt (/ k t))

simplify1.3s

Counts

729 → 729

Iterations

Iter	Nodes
done	2001
1	2001
0	1308

prune6.9s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 7.3b

regimes576.0ms

Accuracy

0% (3.4b remaining)

Error of 11.3b against oracle of 7.9b and baseline of 11.3b

bsearch0.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	32
1	32
0	27

end0.0ms

sample39.1s

Algorithm

intervals

Results

12.5s	4090×	body	1280	valid
11.2s	2193×	body	2560	valid
7.6s	920×	body	5120	valid
4.8s	2589×	body	640	valid
1.3s	1023×	body	320	valid
785.0ms	1990×	body	80	valid
348.0ms	387×	body	160	valid