Details

sample522.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results

6.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	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: 0.0b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	101	77
1	465	66
2	1240	66
3	5001	66

prune20.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
5.9b	(cbrt (+ (* x x) (* y y)))
5.9b	(cbrt (+ (* x x) (* y y)))
5.9b	(cbrt (+ (* x x) (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
23.0ms	(cbrt (+ (* x x) (* y y)))
20.0ms	(cbrt (+ (* x x) (* y y)))
21.0ms	(cbrt (+ (* x x) (* y y)))

simplify119.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (109.0ms)

Iter	Nodes	Cost
0	264	1051
1	906	986
2	3837	912
3	5002	878

prune94.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (cbrt (cbrt (+ (* x x) (* y y)))) 5)
5.9b	(cbrt (+ (* x x) (* y y)))
5.9b	(cbrt (+ (* x x) (* y y)))
5.9b	(cbrt (+ (* x x) (* y y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow (cbrt (cbrt (+ (* x x) (* y y)))) 5)
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))
3.0ms	(cbrt (+ (* x x) (* y y)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(pow (cbrt (cbrt (+ (* x x) (* y y)))) 5)
22.0ms	(cbrt (+ (* x x) (* y y)))
20.0ms	(cbrt (+ (* x x) (* y y)))
20.0ms	(cbrt (+ (* x x) (* y y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	279	687
1	810	639
2	2700	621
3	5001	592

prune118.0ms

Filtered

62 candidates to 75 candidates (-21.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0.0b

Counts

78 → 3

regimes174.0ms

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	3
1	6	3

end0.0ms

sample890.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 43.75%

Guaranteed chance to sample good point: 96.896701%

Results

179.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

sample522.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series5.0ms

simplify40.0ms

prune20.0ms

localize8.0ms

rewrite22.0ms

series86.0ms

simplify119.0ms

prune94.0ms

localize12.0ms

rewrite17.0ms

series100.0ms

simplify83.0ms

prune118.0ms

regimes174.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample890.0ms

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