Details

sample80.0ms

Algorithm

intervals

Results

19.0ms	88×	body	2560	nan
17.0ms	512×	body	80	nan
10.0ms	256×	body	80	valid
10.0ms	67×	body	1280	nan
4.0ms	35×	body	640	nan
3.0ms	27×	body	320	nan
1.0ms	9×	body	160	nan

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	5
1	11	5
2	11	5

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: 30.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 1.0)
28.0b	(sqrt (- (* x x) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`sqrt-prod` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
2×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

2 → 29

Calls

2 calls:

4.0ms	(- (* x x) 1.0)
4.0ms	(sqrt (- (* x x) 1.0))

series95.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(- (* x x) 1.0)
51.0ms	(sqrt (- (* x x) 1.0))

simplify66.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	154	176
1	484	167
2	2036	165
3	5001	164

prune73.0ms

Filtered

35 candidates to 27 candidates (77.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Merged error: 0b

Counts

36 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (+ x (sqrt 1.0)))
0.5b	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`sqrt-prod`
14×	`sqrt-div`
13×	`*-un-lft-identity`
9×	`associate-r`
7×	`pow1` `add-cube-cbrt` `associate-l`
4×	`add-exp-log` `frac-times` `flip3-+` `add-cbrt-cube` `flip-+` `unswap-sqr`
3×	`flip3--` `sqrt-pow1` `pow1/2` `pow-prod-down` `flip--`
2×	`associate-r/` `associate-l/` `distribute-lft-out` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--`

Counts

2 → 58

Calls

2 calls:

4.0ms	(sqrt (+ x (sqrt 1.0)))
13.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series266.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(sqrt (+ x (sqrt 1.0)))
200.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify40.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	626
1	1135	595
2	5002	582

prune138.0ms

Filtered

64 candidates to 45 candidates (70.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Merged error: 0b

Counts

66 → 2

regimes43.0ms

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	13	9
1	13	9

end0.0ms

sample2.5s

Algorithm

intervals

Results

559.0ms	3017×	body	2560	nan
544.0ms	16092×	body	80	nan
387.0ms	2557×	body	1280	nan
316.0ms	8000×	body	80	valid
156.0ms	1256×	body	640	nan
55.0ms	597×	body	320	nan
19.0ms	297×	body	160	nan