Details

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
1.6%	98.3%	0.1%	8
2.3%	97.5%	0.1%	9
7.4%	90.9%	1.7%	10
9.2%	87.4%	3.5%	11
11.7%	83.5%	4.8%	12
15.2%	76%	8.8%	13
16.4%	72%	11.6%	14

sample131.0ms

Algorithm

intervals

Results

60.0ms	79×	body	1280	valid
26.0ms	42×	body	640	valid
12.0ms	99×	body	80	valid
8.0ms	23×	body	320	valid
5.0ms	39×	body	80	invalid
3.0ms	13×	body	160	valid
2.0ms	5×	body	320	invalid
1.0ms	2×	body	640	invalid
1.0ms	1×	body	1280	invalid
0.0ms	1×	body	160	invalid

simplify369.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5017	35

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 32.9b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
3.4b	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
14.6b	(/.f64 (pow.f64 t 3) (*.f64 l l))
15.1b	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

108×	`add-exp-log_binary64_2459`
58×	`prod-exp_binary64_2442`
52×	`add-cbrt-cube_binary64_2467`
28×	`times-frac_binary64_2490`
26×	`add-sqr-sqrt_binary64_2480` `cbrt-unprod_binary64_2464`
24×	`div-exp_binary64_2444`
20×	`pow1_binary64_2437`
19×	`*-un-lft-identity_binary64_2495`
18×	`associate-l_binary64_2555`
17×	`add-cube-cbrt_binary64_2466`
16×	`associate-*l/_binary64_2557`
12×	`associate-/l*_binary64_2559`
10×	`pow-prod-down_binary64_2418` `unpow-prod-down_binary64_2426` `frac-times_binary64_2487` `associate-r_binary64_2554` `cube-prod_binary64_2468`
8×	`tan-quot_binary64_2362` `pow-to-exp_binary64_2416` `cbrt-undiv_binary64_2465` `pow-exp_binary64_2415`
6×	`associate-*r/_binary64_2556`
5×	`unswap-sqr_binary64_2523`
4×	`sqr-pow_binary64_2527` `add-log-exp_binary64_2460` `flip-+_binary64_2520` `flip3-+_binary64_2493`
3×	`cube-mult_binary64_2470` `unpow3_binary64_2435` `*-commutative_binary64_2563`
2×	`div-inv_binary64_2496`
1×	`clear-num_binary64_2498` `distribute-rgt-in_binary64_2538` `associate-/r*_binary64_2558` `frac-2neg_binary64_2488` `distribute-lft-out_binary64_2539` `distribute-lft-in_binary64_2537`

Counts

4 → 159

Calls

4 calls:

15.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
13.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
11.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
245.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

series1.2s

Counts

4 → 12

Calls

4 calls:

286.0ms	(.f64 (.f64 (/.f64 (pow.f64 t 3) (*.f64 l l)) (sin.f64 k)) (tan.f64 k))
294.0ms	(.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k))
293.0ms	(/.f64 (pow.f64 t 3) (*.f64 l l))
295.0ms	(.f64 (.f64 (.f64 (/.f64 (pow.f64 t 3) (.f64 l l)) (sin.f64 k)) (tan.f64 k)) (+.f64 2 (pow.f64 (/.f64 k t) 2)))

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	91	3867
1	91	3867
0	5395	3735
0	91	3867
1	91	3867
0	5395	3735
0	5379	3842
0	317	2531
1	317	2531
0	4974	2325
1	4974	2325
0	317	2531
1	317	2531
0	4974	2325
1	4974	2325
0	5199	2386
0	72	3642
1	72	3642
0	5225	3552
0	72	3642
1	72	3642
0	5225	3552
0	5053	3650
0	78	3711
1	78	3711
0	5559	3615
0	78	3711
1	78	3711
0	5559	3615
0	5063	3695

simplify114.0ms

Counts

171 → 171

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5769	16882

prune61.0ms

Filtered: 106 candidates to 171 candidates (-61.3%)

Details

analyze2.1s

sample131.0ms

simplify369.0ms

prune5.0ms

localize19.0ms

rewrite293.0ms

series1.2s

simplify114.0ms

prune61.0ms

Profiling