Details

analyze6.0ms

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

sample21.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify5.0ms

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)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify54.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4949	197
1	4949	197

prune35.0ms

Filtered

16 candidates to 19 candidates (-18.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	17	2	19
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	3	20

Merged error: 0b

Counts

20 → 3

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

82×	`sqrt-prod`
55×	`add-sqr-sqrt`
34×	`sqrt-pow1`
28×	`pow1` `sqrt-div`
18×	`pow1/2`
17×	`add-cube-cbrt` `*-un-lft-identity`
16×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`pow-prod-up` `unswap-sqr`
8×	`flip3--` `flip--`
6×	`difference-of-squares`
5×	`add-exp-log` `pow-prod-down` `pow-sqr` `add-cbrt-cube`
4×	`frac-times`
3×	`add-log-exp`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

3 → 118

Calls

3 calls:

13.0ms	(* (sqrt (sqrt (- 1.0 (* x x)))) (sqrt (sqrt (- 1.0 (* x x)))))
3.0ms	(sqrt (- 1.0 (* x x)))
3.0ms	(sqrt (- 1.0 (* x x)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5136	1297

prune156.0ms

Filtered

67 candidates to 127 candidates (-89.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	127	3	130

Merged error: 0b

Counts

130 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 76

Calls

3 calls:

5.0ms	(sqrt (- (sqrt 1.0) x))
4.0ms	(sqrt (+ x (sqrt 1.0)))
13.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))

series16.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(sqrt (- (sqrt 1.0) x))
4.0ms	(sqrt (+ x (sqrt 1.0)))
8.0ms	(* (sqrt (+ x (sqrt 1.0))) (sqrt (- (sqrt 1.0) x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5031	1144

prune154.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes103.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	6
1	23	6

end0.0ms

sample292.0ms

Algorithm

intervals

Results

198.0ms

8000×

body

valid

Details

analyze6.0ms

sample21.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite3.0ms

series4.0ms

simplify54.0ms

prune35.0ms

localize6.0ms

rewrite25.0ms

series12.0ms

simplify34.0ms

prune156.0ms

localize7.0ms

rewrite24.0ms

series16.0ms

simplify53.0ms

prune154.0ms

regimes103.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample292.0ms

Profiling