Details

analyze71.0ms

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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

sample15.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	23	9
1	23	9

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x (+ x 2.0)) (* y y))
0.0b	(* x (+ x 2.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

6.0ms	(+ (* x (+ x 2.0)) (* y y))
6.0ms	(* x (+ x 2.0))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x (+ x 2.0)) (* y y))
5.0ms	(* x (+ x 2.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4972	350
1	4972	350

prune45.0ms

Filtered

27 candidates to 42 candidates (-55.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b	(+ (* x 2.0) (* x x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
4.0ms	(+ (* x 2.0) (* x x))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))
5.0ms	(+ (* x 2.0) (* x x))

simplify43.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5263	302

prune34.0ms

Filtered

20 candidates to 31 candidates (-55.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (cbrt (pow (* x (+ x 2.0)) 3)) (* y y))
0.0b	(* x (+ x 2.0))
0.1b	(pow (* x (+ x 2.0)) 3)
40.2b	(cbrt (pow (* x (+ x 2.0)) 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`cbrt-prod` `add-cube-cbrt`
6×	`associate-*r/` `add-log-exp`
4×	`cube-div` `flip3-+` `associate-r` `flip-+`
3×	`pow-unpow` `associate-l`
2×	`cube-mult` `unpow-prod-down` `cbrt-div` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `distribute-lft-out` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

6.0ms	(+ (cbrt (pow (* x (+ x 2.0)) 3)) (* y y))
6.0ms	(* x (+ x 2.0))
6.0ms	(pow (* x (+ x 2.0)) 3)
2.0ms	(cbrt (pow (* x (+ x 2.0)) 3))

series24.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ (cbrt (pow (* x (+ x 2.0)) 3)) (* y y))
4.0ms	(* x (+ x 2.0))
3.0ms	(pow (* x (+ x 2.0)) 3)
7.0ms	(cbrt (pow (* x (+ x 2.0)) 3))

simplify37.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5013	769

prune103.0ms

Filtered

60 candidates to 89 candidates (-48.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	89	3	92

Merged error: 0.0b

Counts

92 → 3

regimes184.0ms

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	10	9
1	10	9

end0.0ms

sample363.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze71.0ms

sample15.0ms

simplify3.0ms

prune11.0ms

localize5.0ms

rewrite13.0ms

series11.0ms

simplify41.0ms

prune45.0ms

localize7.0ms

rewrite11.0ms

series12.0ms

simplify43.0ms

prune34.0ms

localize10.0ms

rewrite23.0ms

series24.0ms

simplify37.0ms

prune103.0ms

regimes184.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample363.0ms

Profiling