Details

analyze279.0ms

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
31.2%	64%	4.8%	9
31.2%	42.1%	26.7%	10
35.9%	37.1%	27.1%	11
38.2%	32.2%	29.6%	12
47.8%	21.6%	30.6%	13
50.2%	19%	30.8%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	16×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	40	9
1	40	9

prune8.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* z (* z 3)))
0.1b	(* z (* z 3))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x y) (* z (* z 3)))
4.0ms	(* z (* z 3))

series14.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+ (* x y) (* z (* z 3)))
3.0ms	(* z (* z 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5454	285

prune48.0ms

Filtered

21 candidates to 35 candidates (-66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (* (* z z) 3))
0.2b	(* (* z z) 3)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 30

Calls

2 calls:

4.0ms	(+ (* x y) (* (* z z) 3))
5.0ms	(* (* z z) 3)

series15.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+ (* x y) (* (* z z) 3))
5.0ms	(* (* z z) 3)

simplify45.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4940	295
1	4940	295

prune41.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
0.1b	(* z (* (cbrt 3) (cbrt 3)))
0.2b	(* z (* z (* (cbrt 3) (cbrt 3))))
0.2b	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

32×	`pow1` `add-exp-log`
22×	`add-cbrt-cube`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
7×	`associate-l`
6×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

4.0ms	(+ (* x y) (* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
6.0ms	(* z (* (cbrt 3) (cbrt 3)))
9.0ms	(* z (* z (* (cbrt 3) (cbrt 3))))
11.0ms	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

series38.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (* x y) (* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3)))
7.0ms	(* z (* (cbrt 3) (cbrt 3)))
7.0ms	(* z (* z (* (cbrt 3) (cbrt 3))))
9.0ms	(* (* z (* z (* (cbrt 3) (cbrt 3)))) (cbrt 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	685
1	4965	685

prune102.0ms

Filtered

52 candidates to 90 candidates (-73.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	90	5	95

Merged error: 0b

Counts

95 → 5

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* (sqrt z) (* 3 (pow z 3/2))))
0.1b	(* (sqrt z) (* 3 (pow z 3/2)))
0.1b	(* 3 (pow z 3/2))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log`
13×	`add-sqr-sqrt`
10×	`prod-exp` `add-cbrt-cube`
9×	`associate-l`
8×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
5×	`pow1` `add-log-exp`
4×	`unpow-prod-down` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

3 → 58

Calls

3 calls:

4.0ms	(+ (* x y) (* (sqrt z) (* 3 (pow z 3/2))))
6.0ms	(* (sqrt z) (* 3 (pow z 3/2)))
5.0ms	(* 3 (pow z 3/2))

series29.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(+ (* x y) (* (sqrt z) (* 3 (pow z 3/2))))
5.0ms	(* (sqrt z) (* 3 (pow z 3/2)))
4.0ms	(* 3 (pow z 3/2))

simplify41.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5847	569

prune78.0ms

Filtered

50 candidates to 67 candidates (-34.0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	67	5	72

Merged error: 0b

Counts

72 → 5

regimes241.0ms

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	12	9
1	12	9

end0.0ms

sample431.0ms

Algorithm

intervals

Results

241.0ms	8000×	body	80	valid
13.0ms	440×	body	80	invalid

Details

analyze279.0ms

sample17.0ms

simplify4.0ms

prune8.0ms

localize6.0ms

rewrite9.0ms

series14.0ms

simplify33.0ms

prune48.0ms

localize6.0ms

rewrite9.0ms

series15.0ms

simplify45.0ms

prune41.0ms

localize11.0ms

rewrite32.0ms

series38.0ms

simplify58.0ms

prune102.0ms

localize13.0ms

rewrite16.0ms

series29.0ms

simplify41.0ms

prune78.0ms

regimes241.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample431.0ms

Profiling