Details

sample219.0ms

Algorithm

intervals

Results

148.0ms	105×	body	2560	valid
44.0ms	81×	body	1280	valid
11.0ms	41×	body	640	valid
3.0ms	19×	body	320	valid
3.0ms	256×	pre	80	true
1.0ms	8×	body	160	valid
0.0ms	2×	body	80	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 60.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (tan x))
2.3b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite23.0ms

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-exp-log` `add-cbrt-cube` `add-log-exp` `difference-of-squares`
3×	`associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`tan-quot` `cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `associate-/r/` `frac-sub` `flip--`

Counts

2 → 50

Calls

2 calls:

2.0ms	(/ 1.0 (tan x))
19.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

series133.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ 1.0 (tan x))
97.0ms	(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (46.0ms)

Iter	Nodes	Cost
0	232	342
1	610	327
2	1894	327
3	5001	326

prune136.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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))
7.0ms	(* 0.022222222222222223 (pow x 3))

series84.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(* 0.0021164021164021165 (pow x 5))
38.0ms	(* 0.022222222222222223 (pow x 3))

simplify189.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (8.0ms)

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

prune118.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.4b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample6.6s

Algorithm

intervals

Results

4.4s	3226×	body	2560	valid
1.4s	2472×	body	1280	valid
347.0ms	1276×	body	640	valid
131.0ms	656×	body	320	valid
118.0ms	8000×	pre	80	true
38.0ms	317×	body	160	valid
3.0ms	53×	body	80	valid