Details

sample357.0ms

Algorithm

intervals

Results

216.0ms	99×	body	2560	valid
94.0ms	98×	body	1280	valid
15.0ms	29×	body	640	valid
6.0ms	17×	body	320	valid
5.0ms	256×	pre	80	true
3.0ms	11×	body	160	valid
0.0ms	2×	body	80	valid

simplify7.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.1b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `tan-quot` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

4.0ms	(/ 1.0 (tan x))
64.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series509.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ 1.0 (tan x))
453.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.5s

Counts

56 → 56

Iterations

Iter	Nodes
done	5001
3	3982
2	685
1	242
0	115

prune273.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* (pow x 3) 0.022222222222222223)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
15×	`associate-l`
12×	`add-exp-log`
10×	`associate-r`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`add-cbrt-cube` `prod-exp`
4×	`cube-prod` `sqr-pow`
2×	`pow-to-exp` `pow1` `pow-exp` `*-commutative` `cbrt-unprod` `add-log-exp`
1×	`cube-mult` `unpow3`

Counts

2 → 56

Calls

2 calls:

14.0ms	(* 0.0021164021164021165 (pow x 5))
14.0ms	(* (pow x 3) 0.022222222222222223)

series135.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* 0.0021164021164021165 (pow x 5))
42.0ms	(* (pow x 3) 0.022222222222222223)

simplify693.0ms

Counts

62 → 62

Iterations

Iter	Nodes
done	5000
2	796
1	216
0	95

prune245.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample12.7s

Algorithm

intervals

Results

8.0s	3254×	body	2560	valid
2.6s	2448×	body	1280	valid
1.2s	1286×	body	640	valid
249.0ms	651×	body	320	valid
202.0ms	8000×	pre	80	true
109.0ms	317×	body	160	valid
5.0ms	44×	body	80	valid