Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	90	6
1	90	6

prune2.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

3.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify52.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4949	197
1	4949	197

prune34.0ms

Filtered

16 candidates to 19 candidates (-18.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	18	1	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	2	20

Merged error: 0b

Counts

20 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div` `sqrt-div`
30×	`cbrt-prod` `flip3--` `flip--`
28×	`frac-times`
23×	`pow1`
20×	`add-sqr-sqrt`
17×	`sqrt-prod`
14×	`associate-*l/`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1/3`
10×	`associate-r`
9×	`add-exp-log` `pow-prod-up`
8×	`associate-*r/`
6×	`pow-plus`
5×	`pow-prod-down` `add-cbrt-cube`
4×	`add-log-exp` `difference-of-squares`
3×	`prod-exp` `pow-sqr` `cbrt-unprod` `unswap-sqr`
2×	`pow2`
1×	`associate-l` `pow3` `*-commutative`

Counts

4 → 117

Calls

4 calls:

16.0ms	(* (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))))
3.0ms	(cbrt (sqrt (- 1.0 (* x x))))
4.0ms	(cbrt (sqrt (- 1.0 (* x x))))
3.0ms	(cbrt (sqrt (- 1.0 (* x x))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* (cbrt (sqrt (- 1.0 (* x x)))) (cbrt (sqrt (- 1.0 (* x x))))) (cbrt (sqrt (- 1.0 (* x x)))))
13.0ms	(cbrt (sqrt (- 1.0 (* x x))))
16.0ms	(cbrt (sqrt (- 1.0 (* x x))))
13.0ms	(cbrt (sqrt (- 1.0 (* x x))))

simplify47.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5132	2241

prune244.0ms

Filtered

87 candidates to 129 candidates (-48.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Merged error: 0b

Counts

131 → 2

regimes85.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	23	6

end0.0ms

sample273.0ms

Algorithm

intervals

Results

183.0ms

8000×

body

valid

Details

analyze4.0ms

sample11.0ms

simplify6.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series5.0ms

simplify52.0ms

prune34.0ms

localize8.0ms

rewrite32.0ms

series47.0ms

simplify47.0ms

prune244.0ms

regimes85.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample273.0ms

Profiling