Details

sample219.0ms

Algorithm

intervals

Results

157.0ms	103×	body	2560	valid
42.0ms	83×	body	1280	valid
8.0ms	49×	body	640	valid
3.0ms	256×	pre	80	true
1.0ms	13×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	11	4
2	11	4

prune1.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.0b

localize5.0ms

Local error

Found 1 expressions with local error:

2.5b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite24.0ms

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` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 22

Calls

1 calls:

22.0ms

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

series134.0ms

Counts

1 → 3

Calls

1 calls:

133.0ms

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

simplify92.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	163	196
1	351	186
2	1151	186
3	3993	185
4	5001	185

prune55.0ms

Filtered

25 candidates to 21 candidates (84.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

5.0ms	(* 0.0021164021164021165 (pow x 5))
6.0ms	(* 0.022222222222222223 (pow x 3))

series88.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* 0.0021164021164021165 (pow x 5))
38.0ms	(* 0.022222222222222223 (pow x 3))

simplify179.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	208	215
1	871	193
2	4634	193
3	5001	193

prune116.0ms

Filtered

62 candidates to 38 candidates (61.3%)

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.3b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample7.4s

Algorithm

intervals

Results

5.6s	3389×	body	2560	valid
1.2s	2461×	body	1280	valid
203.0ms	1248×	body	640	valid
96.0ms	8000×	pre	80	true
55.0ms	562×	body	320	valid
20.0ms	293×	body	160	valid
2.0ms	47×	body	80	valid