Details

sample99.0ms

Algorithm

intervals

Results

23.0ms	88×	body	2560	nan
21.0ms	512×	body	80	nan
13.0ms	256×	body	80	valid
13.0ms	67×	body	1280	nan
5.0ms	35×	body	640	nan
3.0ms	27×	body	320	nan
1.0ms	9×	body	160	nan

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	12	5
2	12	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))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
4×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `add-log-exp`
3×	`pow1` `prod-diff`
2×	`add-exp-log` `expm1-log1p-u` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-neg` `diff-log`

Counts

2 → 37

Calls

2 calls:

7.0ms	(- (* x x) 1.0)
5.0ms	(sqrt (- (* x x) 1.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify133.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	198	216
1	701	187
2	4353	181
3	5001	181

prune83.0ms

Filtered

43 candidates to 33 candidates (76.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

localize10.0ms

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))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`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×	`expm1-log1p-u` `associate-r/` `associate-l/` `hypot-def` `log1p-expm1-u` `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 → 64

Calls

2 calls:

4.0ms	(sqrt (+ x (sqrt 1.0)))
12.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series450.0ms

Counts

2 → 6

Calls

2 calls:

65.0ms	(sqrt (+ x (sqrt 1.0)))
385.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	349	660
1	1199	617
2	5002	600

prune197.0ms

Filtered

70 candidates to 50 candidates (71.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	70	2	72

Merged error: 0b

Counts

72 → 2

regimes44.0ms

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

572.0ms	3017×	body	2560	nan
527.0ms	16092×	body	80	nan
398.0ms	2557×	body	1280	nan
315.0ms	8000×	body	80	valid
158.0ms	1256×	body	640	nan
58.0ms	597×	body	320	nan
19.0ms	297×	body	160	nan