Details

sample49.0ms

Algorithm

intervals

Results

13.0ms	272×	body	160	nan
12.0ms	538×	body	80	nan
7.0ms	256×	body	80	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 33.1b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 1.0)
31.0b	(sqrt (- (* x x) 1.0))

rewrite14.0ms

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:

5.0ms	(- (* x x) 1.0)
8.0ms	(sqrt (- (* x x) 1.0))

series93.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(- (* x x) 1.0)
50.0ms	(sqrt (- (* x x) 1.0))

simplify141.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (23.0ms)

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

prune82.0ms

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 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`sqrt-prod`
12×	`sqrt-div`
9×	`-un-lft-identity` `associate-r*`
7×	`associate-l`
5×	`pow1` `add-cube-cbrt`
4×	`frac-times` `unswap-sqr`
3×	`add-exp-log` `flip3--` `flip3-+` `pow-prod-down` `add-cbrt-cube` `flip--` `flip-+`
2×	`sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `difference-of-squares`
1×	`expm1-log1p-u` `sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `distribute-lft-out` `distribute-lft-out--` `add-log-exp`

Counts

1 → 44

Calls

1 calls:

14.0ms

(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

series196.0ms

Counts

1 → 3

Calls

1 calls:

196.0ms

(* (sqrt (+ x (sqrt 1.0))) (sqrt (- x (sqrt 1.0))))

simplify125.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	292	512
1	1019	480
2	4968	468
3	5001	468

prune98.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	47	2	49

Merged error: 0b

Counts

49 → 2

regimes42.0ms

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

sample1.3s

Algorithm

intervals

Results

378.0ms	16593×	body	80	nan
355.0ms	7828×	body	160	nan
230.0ms	8000×	body	80	valid