Details

sample91.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.673611%

Results

5.0ms	256×	body	80	valid
1.0ms	35×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	3

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: 4.8b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.5b	(* x (+ 1.0 (* y y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 22

Calls

1 calls:

5.0ms

(* x (+ 1.0 (* y y)))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* x (+ 1.0 (* y y)))

simplify79.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	144	115
1	712	101
2	3303	100
3	5003	100

prune37.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Merged error: 4.7b

Counts

26 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (sqrt (+ 1.0 (* y y))))
0.1b	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.5b	(sqrt (+ 1.0 (* y y)))
4.5b	(sqrt (+ 1.0 (* y y)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div`
17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

6.0ms	(* x (sqrt (+ 1.0 (* y y))))
10.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series27.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* x (sqrt (+ 1.0 (* y y))))
9.0ms	(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.0ms	(sqrt (+ 1.0 (* y y)))
4.0ms	(sqrt (+ 1.0 (* y y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	306	681
1	1316	604
2	5002	594

prune130.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	95	4	99

Merged error: 4.7b

Counts

99 → 4

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	1	1
Done	2	2
Total	4	4

Merged error: 4.7b

Counts

4 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

1.2b	(* (sqrt x) (+ 1.0 (* y y)))
1.4b	(* (sqrt x) (* (sqrt x) (+ 1.0 (* y y))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`associate-l`
11×	`add-sqr-sqrt`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
6×	`associate-*r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

2 → 53

Calls

2 calls:

6.0ms	(* (sqrt x) (+ 1.0 (* y y)))
8.0ms	(* (sqrt x) (* (sqrt x) (+ 1.0 (* y y))))

series21.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(* (sqrt x) (+ 1.0 (* y y)))
10.0ms	(* (sqrt x) (* (sqrt x) (+ 1.0 (* y y))))

simplify46.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	330	381
1	1787	331
2	5001	331

prune55.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	59	4	63

Merged error: 4.7b

Counts

63 → 4

regimes179.0ms

Accuracy

0% (0.2b remaining)

Error of 5.7b against oracle of 5.5b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	8
1	11	8

end0.0ms

sample489.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.673611%

Results

183.0ms	8000×	body	80	valid
30.0ms	1408×	body	80	invalid

Details

sample91.0ms

simplify6.0ms

prune2.0ms

localize4.0ms

rewrite5.0ms

series9.0ms

simplify79.0ms

prune37.0ms

localize7.0ms

rewrite23.0ms

series27.0ms

simplify43.0ms

prune130.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune3.0ms

localize6.0ms

rewrite15.0ms

series21.0ms

simplify46.0ms

prune55.0ms

regimes179.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample489.0ms

Profiling