Details

analyze265.0ms

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	20×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune9.0ms

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 (* (* y z) z))
0.2b	(* (* y z) z)

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-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

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

series22.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (* y z) z))
8.0ms	(* (* y z) z)

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune40.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (* z z)))
12.2b	(* y (* z z))

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

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

series20.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* y (* z z)))
7.0ms	(* y (* z z))

simplify25.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune33.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0.0b

Counts

40 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* z (sqrt y))
0.1b	(* z (sqrt y))
0.1b	(* (* z (sqrt y)) (* z (sqrt y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

5.0ms	(* z (sqrt y))
5.0ms	(* z (sqrt y))
8.0ms	(* (* z (sqrt y)) (* z (sqrt y)))

series20.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* z (sqrt y))
7.0ms	(* z (sqrt y))
7.0ms	(* (* z (sqrt y)) (* z (sqrt y)))

simplify27.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5612	529

prune59.0ms

Filtered

47 candidates to 87 candidates (-85.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* y (pow z 3/2)) (sqrt z))
4.5b	(* y (pow z 3/2))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`associate-r`
12×	`add-sqr-sqrt`
10×	`prod-exp`
9×	`add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `unpow-prod-down` `associate-l` `cbrt-unprod`
3×	`sqrt-prod` `unswap-sqr`
2×	`pow-to-exp` `pow-exp` `*-commutative` `add-log-exp` `sqr-pow`
1×	`pow-prod-down`

Counts

2 → 47

Calls

2 calls:

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

series27.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(* (* y (pow z 3/2)) (sqrt z))
13.0ms	(* y (pow z 3/2))

simplify47.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4925	393
1	4925	393

prune54.0ms

Filtered

34 candidates to 53 candidates (-55.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	53	4	57

Merged error: 0.0b

Counts

57 → 4

regimes229.0ms

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	9	7
1	9	7

end0.0ms

sample386.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
16.0ms	693×	body	80	invalid

Details

analyze265.0ms

sample15.0ms

simplify3.0ms

prune9.0ms

localize8.0ms

rewrite9.0ms

series22.0ms

simplify68.0ms

prune40.0ms

localize5.0ms

rewrite9.0ms

series20.0ms

simplify25.0ms

prune33.0ms

localize8.0ms

rewrite20.0ms

series20.0ms

simplify27.0ms

prune59.0ms

localize10.0ms

rewrite13.0ms

series27.0ms

simplify47.0ms

prune54.0ms

regimes229.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample386.0ms

Profiling