Details

analyze64.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
37.5%	40.6%	22%	7
46.8%	29.7%	23.5%	8
54.6%	21.1%	24.3%	9
60.1%	15.2%	24.7%	10
64.4%	10.7%	24.9%	11
67.3%	7.7%	25%	12
69.6%	5.4%	25%	13
71.1%	3.9%	25%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (+ y y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

7.0ms

(+ (* x x) (+ y y))

series5.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* x x) (+ y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5153	148

prune18.0ms

Filtered

11 candidates to 16 candidates (-45.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (+ (* y 4) (* x (* x -2))))
0.4b	(+ (pow x 4) (* y (+ (* y 4) (* x (* x -2)))))
1.7b	(+ (pow x 6) (* (pow y 3) 8))
41.1b	(/ (+ (pow x 6) (* (pow y 3) 8)) (+ (pow x 4) (* y (+ (* y 4) (* x (* x -2))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
6×	`pow1`
5×	`flip3-+` `flip-+`
3×	`associate-r` `associate-l` `associate-/r` `associate-/l`
2×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `associate-*r/` `sum-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(* y (+ (* y 4) (* x (* x -2))))
5.0ms	(+ (pow x 4) (* y (+ (* y 4) (* x (* x -2)))))
7.0ms	(+ (pow x 6) (* (pow y 3) 8))
9.0ms	(/ (+ (pow x 6) (* (pow y 3) 8)) (+ (pow x 4) (* y (+ (* y 4) (* x (* x -2))))))

series47.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* y (+ (* y 4) (* x (* x -2))))
10.0ms	(+ (pow x 4) (* y (+ (* y 4) (* x (* x -2)))))
10.0ms	(+ (pow x 6) (* (pow y 3) 8))
16.0ms	(/ (+ (pow x 6) (* (pow y 3) 8)) (+ (pow x 4) (* y (+ (* y 4) (* x (* x -2))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4973	1890
1	4973	1890

prune187.0ms

Filtered

66 candidates to 89 candidates (-34.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Merged error: 0.0b

Counts

91 → 2

regimes97.0ms

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	6	7
1	6	7

end0.0ms

sample329.0ms

Algorithm

intervals

Results

189.0ms	8000×	body	80	valid
0.0ms	6×	body	80	invalid

Details

analyze64.0ms

sample12.0ms

simplify3.0ms

prune9.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify46.0ms

prune18.0ms

localize16.0ms

rewrite29.0ms

series47.0ms

simplify47.0ms

prune187.0ms

regimes97.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample329.0ms

Profiling