Details

sample37.0ms

Algorithm

intervals

Results

16.0ms	809×	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	8	4
1	9	4
2	9	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(log (- (/ 1.0 x) 1.0))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
4×	`*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `log-div` `difference-of-squares`
1×	`flip3--` `times-frac` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

7.0ms

(log (- (/ 1.0 x) 1.0))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(log (- (/ 1.0 x) 1.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	153	144
1	424	131
2	1814	130
3	5001	130

prune44.0ms

Filtered

20 candidates to 16 candidates (80.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	1	21

Merged error: 0b

Counts

21 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (sqrt (- (/ 1.0 x) 1.0)))
0.0b	(log (sqrt (- (/ 1.0 x) 1.0)))
0.1b	(sqrt (- (/ 1.0 x) 1.0))
0.1b	(sqrt (- (/ 1.0 x) 1.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
24×	`sqrt-prod`
18×	`log-prod` `*-un-lft-identity`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div` `difference-of-squares`
6×	`add-exp-log` `log-pow`
4×	`log-div` `flip3--` `sqrt-pow1` `times-frac` `pow1/2` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 80

Calls

4 calls:

8.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
8.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
8.0ms	(sqrt (- (/ 1.0 x) 1.0))
8.0ms	(sqrt (- (/ 1.0 x) 1.0))

series343.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
115.0ms	(log (sqrt (- (/ 1.0 x) 1.0)))
52.0ms	(sqrt (- (/ 1.0 x) 1.0))
53.0ms	(sqrt (- (/ 1.0 x) 1.0))

simplify78.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	212	730
1	576	678
2	2493	660
3	5002	648

prune238.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	1	93

Merged error: 0b

Counts

93 → 1

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

459.0ms	23458×	body	80	nan
224.0ms	8000×	body	80	valid