Details

analyze11.0ms

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

sample221.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify468.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	786	11
1	786	11

prune4.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
44×	`add-sqr-sqrt`
41×	`times-frac`
26×	`sqrt-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num` `flip--`

Counts

2 → 84

Calls

2 calls:

8.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
9.0ms	(/ (- 1.0 x) (+ 1.0 x))

series34.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(sqrt (/ (- 1.0 x) (+ 1.0 x)))
10.0ms	(/ (- 1.0 x) (+ 1.0 x))

simplify35.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5083	1147

prune143.0ms

Filtered

61 candidates to 90 candidates (-47.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	89	2	91

Merged error: 0b

Counts

91 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

85×	`sqrt-prod`
77×	`*-un-lft-identity`
59×	`add-sqr-sqrt`
56×	`times-frac`
39×	`add-cube-cbrt`
10×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
8×	`sqrt-div` `associate-/l*`
7×	`associate-/r*`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-log-exp`
2×	`rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`

Counts

3 → 121

Calls

3 calls:

3.0ms	(sqrt (- 1.0 x))
6.0ms	(sqrt (+ 1.0 x))
9.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

series12.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(sqrt (- 1.0 x))
4.0ms	(sqrt (+ 1.0 x))
5.0ms	(/ (sqrt (- 1.0 x)) (sqrt (+ 1.0 x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5125	1814

prune184.0ms

Filtered

74 candidates to 130 candidates (-75.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Merged error: 0b

Counts

132 → 2

regimes127.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	21	11
1	21	11

end0.0ms

sample491.0ms

Algorithm

intervals

Results

387.0ms

8000×

body

valid

Details

analyze11.0ms

sample221.0ms

simplify468.0ms

prune4.0ms

localize10.0ms

rewrite22.0ms

series34.0ms

simplify35.0ms

prune143.0ms

localize9.0ms

rewrite24.0ms

series12.0ms

simplify51.0ms

prune184.0ms

regimes127.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample491.0ms

Profiling