Details

analyze268.0ms

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

sample18.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	9
1	64	9

prune10.0ms

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

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

6.0ms	(+ (+ (* x y) (* z z)) (* z z))
4.0ms	(+ (* x y) (* z z))
9.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series31.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (+ (* x y) (* z z)) (* z z))
9.0ms	(+ (* x y) (* z z))
12.0ms	(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify48.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5676	519

prune69.0ms

Filtered

32 candidates to 47 candidates (-46.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	6	49

Merged error: 0b

Counts

49 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* z (* z 3))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 18

Calls

1 calls:

5.0ms

(* z (* z 3))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* z (* z 3))

simplify39.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4865	114
1	4865	114

prune37.0ms

Filtered

11 candidates to 21 candidates (-90.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	21	6	27

Merged error: 0b

Counts

27 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* z 3))
0.3b	(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
20.4b	(sqrt (* z (* z 3)))
20.4b	(sqrt (* z (* z 3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-exp-log` `add-sqr-sqrt` `pow-sqr` `add-cbrt-cube`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
6×	`sqrt-prod`
5×	`associate-r`
4×	`swap-sqr` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

5.0ms	(* z (* z 3))
13.0ms	(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
4.0ms	(sqrt (* z (* z 3)))
4.0ms	(sqrt (* z (* z 3)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* z (* z 3))
7.0ms	(* (sqrt (* z (* z 3))) (sqrt (* z (* z 3))))
3.0ms	(sqrt (* z (* z 3)))
4.0ms	(sqrt (* z (* z 3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5010	497

prune116.0ms

Filtered

52 candidates to 120 candidates (-130.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	121	5	126

Merged error: 0b

Counts

126 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
21.2b	(cbrt (* z (* z 3)))
21.2b	(cbrt (* z (* z 3)))
21.2b	(cbrt (* z (* z 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
3.0ms	(cbrt (* z (* z 3)))
3.0ms	(cbrt (* z (* z 3)))
4.0ms	(cbrt (* z (* z 3)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (cbrt (* z (* z 3))) (cbrt (* z (* z 3))))
26.0ms	(cbrt (* z (* z 3)))
25.0ms	(cbrt (* z (* z 3)))
27.0ms	(cbrt (* z (* z 3)))

simplify56.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4813	473
1	4813	473

prune114.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	70	5	75

Merged error: 0b

Counts

75 → 5

regimes316.0ms

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	34	15
1	34	15

end0.0ms

sample446.0ms

Algorithm

intervals

Results

252.0ms	8000×	body	80	valid
14.0ms	468×	body	80	invalid

Details

analyze268.0ms

sample18.0ms

simplify4.0ms

prune10.0ms

localize10.0ms

rewrite19.0ms

series31.0ms

simplify48.0ms

prune69.0ms

localize6.0ms

rewrite5.0ms

series3.0ms

simplify39.0ms

prune37.0ms

localize8.0ms

rewrite30.0ms

series17.0ms

simplify52.0ms

prune116.0ms

localize10.0ms

rewrite17.0ms

series109.0ms

simplify56.0ms

prune114.0ms

regimes316.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample446.0ms

Profiling