Details

analyze32.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	62.4%	12.6%	4
37.5%	43.7%	18.8%	5
37.5%	34.3%	28.2%	6
43.7%	23.4%	32.9%	7
43.7%	18%	38.3%	8
46.8%	12.1%	41.1%	9
46.8%	9.2%	44%	10
48.4%	6.1%	45.5%	11
48.4%	4.6%	47%	12
49.2%	3.1%	47.7%	13
49.2%	2.3%	48.5%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	11×	body	80	nan

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

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

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

3.0ms

(sqrt (+ x y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(sqrt (+ x y))

simplify24.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5079	150

prune28.0ms

Filtered

14 candidates to 19 candidates (-35.7%)

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: 0.0b

Counts

20 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(sqrt (+ x y))
0.5b	(pow (sqrt (+ x y)) 3)
22.2b	(cbrt (pow (sqrt (+ x y)) 3))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
20×	`cbrt-prod` `sqrt-prod`
15×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `unpow-prod-down` `cube-prod`
6×	`pow1` `sqrt-div`
5×	`distribute-lft-out`
4×	`add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `pow-pow` `flip3-+` `flip-+` `add-log-exp`
2×	`cube-mult` `cbrt-div` `sqrt-pow1` `pow1/2` `unpow3` `sqr-pow`
1×	`pow-to-exp` `rem-sqrt-square` `pow1/3` `pow-exp` `sqrt-pow2` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 83

Calls

3 calls:

3.0ms	(sqrt (+ x y))
5.0ms	(pow (sqrt (+ x y)) 3)
5.0ms	(cbrt (pow (sqrt (+ x y)) 3))

series27.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(sqrt (+ x y))
15.0ms	(pow (sqrt (+ x y)) 3)
6.0ms	(cbrt (pow (sqrt (+ x y)) 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5915	773

prune71.0ms

Filtered

46 candidates to 92 candidates (-100.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0.0b

Counts

95 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

4.0b	(+ (pow x 3) (pow y 3))
18.3b	(sqrt (+ (pow x 3) (pow y 3)))
22.0b	(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (* y (- y x)))))
29.9b	(sqrt (+ (* x x) (* y (- y x))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

136×	`*-un-lft-identity`
114×	`sqrt-prod`
72×	`times-frac`
48×	`add-sqr-sqrt`
46×	`add-cube-cbrt`
45×	`distribute-lft-out`
36×	`unpow-prod-down` `cube-prod`
12×	`associate-/l*`
9×	`sum-cubes`
8×	`sqrt-div`
6×	`pow1` `add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sqrt-undiv` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 160

Calls

4 calls:

10.0ms	(+ (pow x 3) (pow y 3))
10.0ms	(sqrt (+ (pow x 3) (pow y 3)))
18.0ms	(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (* y (- y x)))))
4.0ms	(sqrt (+ (* x x) (* y (- y x))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (pow x 3) (pow y 3))
13.0ms	(sqrt (+ (pow x 3) (pow y 3)))
16.0ms	(/ (sqrt (+ (pow x 3) (pow y 3))) (sqrt (+ (* x x) (* y (- y x)))))
10.0ms	(sqrt (+ (* x x) (* y (- y x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4940	3935
1	4940	3935

prune191.0ms

Filtered

89 candidates to 172 candidates (-93.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	172	3	175

Merged error: 0.0b

Counts

175 → 3

regimes141.0ms

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	5	4
1	5	4

end0.0ms

sample276.0ms

Algorithm

intervals

Results

153.0ms	8000×	body	80	valid
4.0ms	240×	body	80	nan

Details

analyze32.0ms

sample11.0ms

simplify2.0ms

prune2.0ms

localize3.0ms

rewrite3.0ms

series6.0ms

simplify24.0ms

prune28.0ms

localize7.0ms

rewrite15.0ms

series27.0ms

simplify42.0ms

prune71.0ms

localize13.0ms

rewrite52.0ms

series47.0ms

simplify70.0ms

prune191.0ms

regimes141.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample276.0ms

Profiling