Details

sample91.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.666667%

Results

6.0ms	256×	body	80	valid
1.0ms	49×	body	80	invalid

simplify7.0ms

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

prune3.0ms

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: 5.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b	(* x (+ 1.0 (* y y)))

rewrite12.0ms

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:

11.0ms

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

series11.0ms

Counts

1 → 3

Calls

1 calls:

11.0ms

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

simplify89.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 2 (22.0ms)

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

prune35.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	4	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	5	26

Merged error: 5.4b

Counts

26 → 5

localize6.0ms

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))))
5.2b	(sqrt (+ 1.0 (* y y)))
5.2b	(sqrt (+ 1.0 (* y y)))

rewrite24.0ms

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))))
12.0ms	(* (* 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))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

simplify53.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (44.0ms)

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

prune141.0ms

Filtered

66 candidates to 95 candidates (-43.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	6	100

Merged error: 5.4b

Counts

100 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
5.2b	(sqrt (+ 1.0 (* y y)))
5.2b	(sqrt (+ 1.0 (* y y)))
5.2b	(sqrt (+ 1.0 (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

13.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))
2.0ms	(sqrt (+ 1.0 (* y y)))

series21.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (* x (sqrt (sqrt (+ 1.0 (* y y))))) (sqrt (sqrt (+ 1.0 (* y y)))))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))
3.0ms	(sqrt (+ 1.0 (* y y)))

simplify148.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	298	736
1	1063	653
2	4704	639
3	5001	639

prune179.0ms

Filtered

66 candidates to 89 candidates (-34.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Merged error: 5.4b

Counts

95 → 6

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

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	3	3
Total	6	6

Merged error: 5.4b

Counts

6 → 6

regimes221.0ms

Accuracy

0% (0.2b remaining)

Error of 5.1b against oracle of 4.9b and baseline of 5.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample574.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 98.666667%

Results

225.0ms	8000×	body	80	valid
34.0ms	1294×	body	80	invalid

Details

sample91.0ms

simplify7.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series11.0ms

simplify89.0ms

prune35.0ms

localize6.0ms

rewrite24.0ms

series27.0ms

simplify53.0ms

prune141.0ms

localize9.0ms

rewrite22.0ms

series21.0ms

simplify148.0ms

prune179.0ms

localize2.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune0.0ms

regimes221.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample574.0ms

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