Details

sample771.0ms

Algorithm

intervals

Results

251.0ms	144×	body	1280	valid
245.0ms	69×	body	2560	valid
126.0ms	19×	body	5120	valid
71.0ms	73×	body	640	valid
22.0ms	32×	body	320	valid
14.0ms	64×	body	80	valid
7.0ms	14×	body	160	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 4 (1.8s)

Iter	Nodes	Cost
0	19	941
1	44	941
2	142	941
3	689	901
4	3622	860
done	5174	860

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 41.7b

localize67.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (/ (pow t 3.0) (* l l)) (sin k))
1.0b	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
17.3b	(/ (pow t 3.0) (* l l))
29.9b	(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

rewrite316.0ms

Algorithm

rewrite-expression-head

Rules

340×	`times-frac`
272×	`add-exp-log`
153×	`unpow-prod-down`
144×	`add-sqr-sqrt`
137×	`*-un-lft-identity` `add-cube-cbrt`
128×	`div-exp`
103×	`prod-exp`
59×	`add-cbrt-cube`
58×	`associate-*l/`
54×	`associate-/r/`
38×	`tan-quot`
34×	`pow-exp`
32×	`div-inv`
24×	`pow-to-exp`
21×	`cbrt-unprod`
19×	`frac-times` `cbrt-undiv` `associate-*r/`
18×	`associate-/r*`
17×	`associate-/l*`
15×	`sqr-pow`
12×	`associate-l`
11×	`pow1`
6×	`associate-r`
4×	`pow-prod-down` `add-log-exp` `unswap-sqr`
2×	`clear-num` `frac-2neg` `*-commutative`
1×	`associate-/l/`

Counts

4 → 354

Calls

4 calls:

44.0ms	(* (/ (pow t 3.0) (* l l)) (sin k))
100.0ms	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
19.0ms	(/ (pow t 3.0) (* l l))
134.0ms	(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

series2.1s

Counts

4 → 12

Calls

4 calls:

389.0ms	(* (/ (pow t 3.0) (* l l)) (sin k))
529.0ms	(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
283.0ms	(/ (pow t 3.0) (* l l))
849.0ms	(/ (/ 2.0 (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))) (pow (/ k t) 2.0))

simplify3.1s

Counts

366 → 366

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	663	382799
1	1703	361652
done	5000	360687

prune3.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 15.1b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sin k) l) (/ (sin k) l))
0.8b	(/ 1 (* (pow t 1.0) (pow k 2.0)))
8.0b	(* (pow t 1.0) (pow k 2.0))
14.1b	(* (pow (/ 1 (* (pow t 1.0) (pow k 2.0))) 1.0) (* (/ (cos k) (* (/ (sin k) l) (/ (sin k) l))) 2.0))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

1292×	`add-exp-log`
790×	`prod-exp`
461×	`div-exp`
367×	`pow-exp`
157×	`pow-to-exp`
80×	`rec-exp` `1-exp`
65×	`add-sqr-sqrt`
56×	`add-cbrt-cube`
46×	`times-frac`
41×	`*-un-lft-identity` `add-cube-cbrt`
31×	`associate-l`
23×	`cbrt-unprod`
21×	`associate-r`
19×	`unpow-prod-down`
15×	`cbrt-undiv`
13×	`swap-sqr` `unswap-sqr`
12×	`pow1`
9×	`sqr-pow`
6×	`div-inv`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
2×	`associate-l/` `associate-r/`
1×	`pow2` `frac-times` `clear-num` `associate-/r*` `frac-2neg` `pow-plus` `pow-prod-down` `pow-sqr` `pow-prod-up` `pow-flip` `inv-pow`

Counts

4 → 418

Calls

4 calls:

23.0ms	(* (/ (sin k) l) (/ (sin k) l))
15.0ms	(/ 1 (* (pow t 1.0) (pow k 2.0)))
21.0ms	(* (pow t 1.0) (pow k 2.0))
197.0ms	(* (pow (/ 1 (* (pow t 1.0) (pow k 2.0))) 1.0) (* (/ (cos k) (* (/ (sin k) l) (/ (sin k) l))) 2.0))

series2.3s

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (/ (sin k) l) (/ (sin k) l))
519.0ms	(/ 1 (* (pow t 1.0) (pow k 2.0)))
523.0ms	(* (pow t 1.0) (pow k 2.0))
1.1s	(* (pow (/ 1 (* (pow t 1.0) (pow k 2.0))) 1.0) (* (/ (cos k) (* (/ (sin k) l) (/ (sin k) l))) 2.0))

simplify2.8s

Iterations

Useful iterations: 0 (844.0ms)

Iter	Nodes	Cost
0	504	384728