Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	869×	body	80	nan
7.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	4
1	7	4
2	7	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(log (log x))
0.3b	(- (log x) (log (log x)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`log-prod`
9×	`pow1` `*-un-lft-identity`
7×	`add-sqr-sqrt` `log-pow`
5×	`add-cube-cbrt`
4×	`associate--r+` `distribute-lft-out--`
3×	`add-exp-log` `associate--l+`
2×	`add-cbrt-cube` `add-log-exp`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--` `difference-of-squares`

Counts

2 → 37

Calls

2 calls:

1.0ms	(log (log x))
5.0ms	(- (log x) (log (log x)))

series586.0ms

Counts

2 → 6

Calls

2 calls:

230.0ms	(log (log x))
356.0ms	(- (log x) (log (log x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 3 (18.0ms)

Iter	Nodes	Cost
0	115	228
1	241	202
2	584	198
3	2015	191
4	5002	191

prune68.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(/ x (log x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`times-frac`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`associate-/r*` `log-pow`
3×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

2.0ms

(/ x (log x))

series229.0ms

Counts

1 → 3

Calls

1 calls:

228.0ms

(/ x (log x))

simplify61.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	99	157
1	273	147
2	681	144
3	2256	142
4	5001	142

prune66.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(log (/ 1 x))
0.3b	(/ (* -1 x) (log (/ 1 x)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

15×	`times-frac`
13×	`log-prod`
12×	`add-exp-log`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`log-pow`
8×	`pow1`
7×	`add-cbrt-cube`
6×	`associate-/r*`
4×	`div-exp` `rem-log-exp`
3×	`pow-flip` `inv-pow`
2×	`cbrt-undiv` `div-inv` `add-log-exp`
1×	`log-div` `rec-exp` `frac-2neg` `mul-1-neg` `1-exp` `distribute-frac-neg` `log-rec` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l*`

Counts

2 → 57

Calls

2 calls:

2.0ms	(log (/ 1 x))
4.0ms	(/ (* -1 x) (log (/ 1 x)))

series340.0ms

Counts

2 → 6

Calls

2 calls:

116.0ms	(log (/ 1 x))
224.0ms	(/ (* -1 x) (log (/ 1 x)))

simplify32.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	219	300
1	983	244
2	5001	233

prune109.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	14	5
2	14	5

end0.0ms

sample932.0ms

Algorithm

intervals

Results

373.0ms	23250×	body	80	nan
217.0ms	8000×	body	80	valid