Details

analyze76.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	7
1	38	7

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: 8.6b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

8.0b	(* x (+ 1.0 (* y y)))

rewrite6.0ms

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)))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

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

simplify35.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4908	206
1	4908	206

prune54.0ms

Filtered

17 candidates to 25 candidates (-47.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	19	6	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	20	6	26

Merged error: 8.1b

Counts

26 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

12.3b

(* x (* y y))

rewrite8.0ms

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:

7.0ms

(* x (* y y))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* x (* y y))

simplify41.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5169	129

prune38.0ms

Filtered

12 candidates to 22 candidates (-83.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* x y) y)

rewrite6.0ms

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)

simplify46.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5017	121

prune35.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

1.9b	(* x (- (* 1.0 1.0) (pow y 4)))
12.5b	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`difference-of-squares`
4×	`pow1` `times-frac` `associate-r/` `associate-/r`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `unpow-prod-down` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr` `sqr-pow`

Counts

2 → 52

Calls

2 calls:

8.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
12.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(* x (- (* 1.0 1.0) (pow y 4)))
29.0ms	(/ (* x (- (* 1.0 1.0) (pow y 4))) (- 1.0 (* y y)))

simplify41.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4942	621
1	4942	621

prune85.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	58	7	65

Merged error: 0.0b

Counts

65 → 7

regimes275.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	31	9
1	31	9

end0.0ms

sample335.0ms

Algorithm

intervals

Results

193.0ms	8000×	body	80	valid
4.0ms	179×	body	80	invalid

Details

analyze76.0ms

sample14.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite6.0ms

series10.0ms

simplify35.0ms

prune54.0ms

localize6.0ms

rewrite8.0ms

series7.0ms

simplify41.0ms

prune38.0ms

localize6.0ms

rewrite6.0ms

series6.0ms

simplify46.0ms

prune35.0ms

localize10.0ms

rewrite22.0ms

series46.0ms

simplify41.0ms

prune85.0ms

regimes275.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample335.0ms

Profiling