Details

sample314.0ms

Algorithm

intervals

Results

191.0ms	118×	body	2560	valid
87.0ms	78×	body	1280	valid
11.0ms	28×	body	640	valid
6.0ms	24×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	7×	body	160	valid
0.0ms	1×	body	80	valid

simplify5.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	11
2	11
1	8
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.2b

localize12.0ms

Local error

Found 1 expressions with local error:

2.4b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `flip--`

Counts

1 → 22

Calls

1 calls:

35.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

series157.0ms

Counts

1 → 3

Calls

1 calls:

157.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify1.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5000
3	2382
2	451
1	165
0	75

prune94.0ms

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

9.0ms	(* (pow x 5) 0.0021164021164021165)
12.0ms	(* x (* x 0.022222222222222223))

series83.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(* (pow x 5) 0.0021164021164021165)
27.0ms	(* x (* x 0.022222222222222223))

simplify630.0ms

Counts

49 → 49

Iterations

Iter	Nodes
done	5001
2	858
1	181
0	76

prune178.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify2.0ms

Iterations

Iter	Nodes
done	18
1	18
0	12

end0.0ms

sample11.9s

Algorithm

intervals

Results

7.5s	3313×	body	2560	valid
2.4s	2492×	body	1280	valid
772.0ms	1226×	body	640	valid
626.0ms	611×	body	320	valid
258.0ms	8000×	pre	80	true
73.0ms	304×	body	160	valid
5.0ms	54×	body	80	valid