Details

sample354.0ms

Algorithm

intervals

Results

196.0ms	89×	body	2560	valid
103.0ms	93×	body	1280	valid
22.0ms	45×	body	640	valid
8.0ms	19×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	9×	body	160	valid
0.0ms	1×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	8	8
2	11	8
done	11	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
3.0b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

271×	`times-frac`
220×	`add-sqr-sqrt`
216×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
5×	`distribute-lft-out--`
4×	`add-cbrt-cube` `add-exp-log` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `div-exp` `frac-sub` `flip--`

Counts

2 → 249

Calls

2 calls:

9.0ms	(/ 1.0 (tan x))
83.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series179.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1.0 (tan x))
137.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.8s

Counts

255 → 255

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	369	9638
1	843	8522
2	2774	6348
done	5001	5452

prune763.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`associate-r` `add-exp-log`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `unswap-sqr`
2×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 37

Calls

2 calls:

19.0ms	(* 0.0021164021164021165 (pow x 5))
1.0ms	(fma 0.022222222222222223 (pow x 3) (* 0.0021164021164021165 (pow x 5)))

series289.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* 0.0021164021164021165 (pow x 5))
218.0ms	(fma 0.022222222222222223 (pow x 3) (* 0.0021164021164021165 (pow x 5)))

simplify1.3s

Counts

43 → 43

Iterations

Useful iterations: 3 (514.0ms)

Iter	Nodes	Cost
0	67	403
1	137	377
2	416	347
3	2030	345
done	5000	345

prune217.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	12	13
done	12	13

end0.0ms

sample13.6s

Algorithm

intervals

Results

8.3s	3293×	body	2560	valid
3.3s	2475×	body	1280	valid
791.0ms	1259×	body	640	valid
624.0ms	8000×	pre	80	true
237.0ms	642×	body	320	valid
74.0ms	296×	body	160	valid
4.0ms	35×	body	80	valid