Details

analyze72.0ms

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
37.5%	62.4%	0.1%	6
43.7%	43.7%	12.6%	7
53.1%	34.3%	12.6%	8
57.8%	23.4%	18.8%	9
63.2%	18%	18.8%	10
66%	12.1%	22%	11
68.9%	9.2%	22%	12
70.3%	6.1%	23.5%	13
71.9%	4.6%	23.5%	14

sample11.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

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: 4.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
4.3b	(* x (+ 1.0 (* 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×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 1.0 (* y y))
5.0ms	(* x (+ 1.0 (* y y)))

series13.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(+ 1.0 (* y y))
9.0ms	(* x (+ 1.0 (* y y)))

simplify52.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4932	307
1	4932	307

prune55.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	5	40

Merged error: 4.4b

Counts

40 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

10.1b

(* x (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* x (* y y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* x (* y y))

simplify45.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5043	129

prune27.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	23	4	27

Merged error: 0.0b

Counts

27 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x y) y)

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* (* x y) y)

simplify36.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5162	121

prune20.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	21	0	21
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	21	4	25

Merged error: 0.0b

Counts

25 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

1.7b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))
4.4b	(cbrt (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

11.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))

series65.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
11.0ms	(cbrt (+ 1.0 (* y y)))
11.0ms	(cbrt (+ 1.0 (* y y)))
14.0ms	(cbrt (+ 1.0 (* y y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5373	972

prune139.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	78	4	82

Merged error: 0.0b

Counts

82 → 4

regimes170.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	9
1	11	9

end0.0ms

sample288.0ms

Algorithm

intervals

Results

171.0ms	8000×	body	80	valid
3.0ms	144×	body	80	invalid

Details

analyze72.0ms

sample11.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite11.0ms

series13.0ms

simplify52.0ms

prune55.0ms

localize5.0ms

rewrite6.0ms

series6.0ms

simplify45.0ms

prune27.0ms

localize5.0ms

rewrite5.0ms

series6.0ms

simplify36.0ms

prune20.0ms

localize8.0ms

rewrite20.0ms

series65.0ms

simplify57.0ms

prune139.0ms

regimes170.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample288.0ms

Profiling