Details

sample47.0ms

Algorithm

intervals

Results

11.0ms	249×	body	160	nan
10.0ms	497×	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	10	5
1	11	5
2	11	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) 1.0)
30.6b	(sqrt (- (* x x) 1.0))

rewrite19.0ms

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:

8.0ms	(- (* x x) 1.0)
11.0ms	(sqrt (- (* x x) 1.0))

series88.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- (* x x) 1.0)
47.0ms	(sqrt (- (* x x) 1.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (60.0ms)

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

prune74.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out` `distribute-lft-out--` `add-log-exp`

Counts

1 → 42

Calls

1 calls:

46.0ms

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

series178.0ms

Counts

1 → 3

Calls

1 calls:

178.0ms

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

simplify116.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	278	486
1	971	465
2	4731	456
3	5001	456

prune103.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	9
1	13	9

end0.0ms

sample1.4s

Algorithm

intervals

Results

345.0ms	7611×	body	160	nan
324.0ms	15860×	body	80	nan
231.0ms	8000×	body	80	valid