Details

sample41.0ms

Algorithm

intervals

Results

19.0ms	760×	body	80	nan
8.0ms	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 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

7.0ms	(log (- (/ 1.0 x) 1.0))
8.0ms	(- (/ 1.0 x) 1.0)

series95.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(log (- (/ 1.0 x) 1.0))
38.0ms	(- (/ 1.0 x) 1.0)

simplify67.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	162	226
1	457	205
2	1974	202
3	5002	202

prune63.0ms

Filtered

38 candidates to 28 candidates (73.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	3	39

Merged error: 0b

Counts

39 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`sqrt-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`pow1` `add-cube-cbrt`
4×	`add-exp-log` `flip3--` `times-frac` `sqrt-div` `add-cbrt-cube` `flip--` `distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 66

Calls

4 calls:

8.0ms	(- (/ 1.0 x) 1.0)
8.0ms	(- (/ 1.0 x) 1.0)
7.0ms	(sqrt (- (/ 1.0 x) 1.0))
7.0ms	(sqrt (- (/ 1.0 x) 1.0))

series170.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(- (/ 1.0 x) 1.0)
35.0ms	(- (/ 1.0 x) 1.0)
49.0ms	(sqrt (- (/ 1.0 x) 1.0))
53.0ms	(sqrt (- (/ 1.0 x) 1.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	157	454
1	415	424
2	2000	416
3	5002	412

prune160.0ms

Filtered

78 candidates to 56 candidates (71.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (log (- (/ 1.0 x) 1.0)))
0.5b	(cbrt (log (- (/ 1.0 x) 1.0)))
0.5b	(cbrt (log (- (/ 1.0 x) 1.0)))
0.5b	(* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
23×	`add-sqr-sqrt`
20×	`pow1`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`pow1/3` `swap-sqr` `log-pow`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
1.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
1.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
7.0ms	(* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

261.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
257.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
263.0ms	(cbrt (log (- (/ 1.0 x) 1.0)))
336.0ms	(* (cbrt (log (- (/ 1.0 x) 1.0))) (cbrt (log (- (/ 1.0 x) 1.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	448	1203
1	1886	1117
2	5001	950

prune208.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	93	3	96

Merged error: 0b

Counts

96 → 3

regimes75.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4

end0.0ms

sample1.2s

Algorithm

intervals

Results

590.0ms	24108×	body	80	nan
258.0ms	8000×	body	80	valid

Details

sample41.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite15.0ms

series95.0ms

simplify67.0ms

prune63.0ms

localize8.0ms

rewrite32.0ms

series170.0ms

simplify59.0ms

prune160.0ms

localize10.0ms

rewrite13.0ms

series1.1s

simplify59.0ms

prune208.0ms

regimes75.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling