Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

433×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

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+`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+ (* x x) (* (* x 2.0) y))
6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series12.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (* x x) (* (* x 2.0) y))
7.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify46.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5205	373

prune66.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	27	3	30
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	28	4	32

Merged error: 0.0b

Counts

32 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `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` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5067	439

prune47.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify34.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5310	439

prune47.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
7.6b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
7.6b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
7.6b	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

rewrite24.0ms

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 (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
5.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
3.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
3.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

series131.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))) (cbrt (+ (* x x) (* y (+ (* x 2.0) y)))))
33.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
32.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))
32.0ms	(cbrt (+ (* x x) (* y (+ (* x 2.0) y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5162	1956

prune198.0ms

Filtered

78 candidates to 99 candidates (-26.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	99	4	103

Merged error: 0b

Counts

103 → 4

regimes80.0ms

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	12	11
1	12	11

end0.0ms

sample820.0ms

Algorithm

intervals

Results

471.0ms

14249×

body

valid

Details

sample27.0ms

simplify3.0ms

prune11.0ms

localize8.0ms

rewrite10.0ms

series12.0ms

simplify46.0ms

prune66.0ms

localize6.0ms

rewrite11.0ms

series12.0ms

simplify35.0ms

prune47.0ms

localize6.0ms

rewrite10.0ms

series12.0ms

simplify34.0ms

prune47.0ms

localize11.0ms

rewrite24.0ms

series131.0ms

simplify65.0ms

prune198.0ms

regimes80.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample820.0ms

Profiling