Details

sample304.0ms

Algorithm

intervals

Results

190.0ms	104×	body	2560	valid
71.0ms	87×	body	1280	valid
14.0ms	31×	body	640	valid
7.0ms	24×	body	320	valid
5.0ms	256×	pre	80	true
2.0ms	10×	body	160	valid

simplify8.0ms

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

localize77.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.0b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite67.0ms

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:

5.0ms	(/ 1.0 (tan x))
40.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series177.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ 1.0 (tan x))
125.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify2.0s

Counts

255 → 255

Iterations

Iter	Nodes
done	5001
2	2774
1	843
0	369

prune967.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.022222222222222223 (* x x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-un-lft-identity` `add-cube-cbrt`
1×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

13.0ms

(* 0.022222222222222223 (* x x))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 0.022222222222222223 (* x x))

simplify635.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	5001
2	553
1	99
0	36

prune90.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.4b

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	11

end0.0ms

sample11.3s

Algorithm

intervals

Results

7.0s	3278×	body	2560	valid
2.5s	2460×	body	1280	valid
1.2s	1261×	body	640	valid
227.0ms	652×	body	320	valid
135.0ms	8000×	pre	80	true
62.0ms	313×	body	160	valid
3.0ms	36×	body	80	valid