Details

analyze252.0ms

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

sample14.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	14×	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

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

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))
4.0ms	(* (* y z) z)

series19.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* (* y z) z))
6.0ms	(* (* y z) z)

simplify64.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune42.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	32	5	37

Merged error: 0.0b

Counts

37 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
6.8b	(* y (* z (* (cbrt z) (cbrt z))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-exp-log`
11×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`pow1/3` `associate-l`
1×	`associate-r` `*-commutative`

Counts

4 → 54

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
9.0ms	(* y (* z (* (cbrt z) (cbrt z))))

series103.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt z)
37.0ms	(cbrt z)
21.0ms	(cbrt z)
23.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify73.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4853	298
1	4853	298

prune67.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	1	66
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
6.8b	(* y (* z (* (cbrt z) (cbrt z))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 63

Calls

4 calls:

1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
1.0ms	(cbrt (cbrt z))
9.0ms	(* y (* z (* (cbrt z) (cbrt z))))

series106.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt (cbrt z))
30.0ms	(cbrt (cbrt z))
28.0ms	(cbrt (cbrt z))
20.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4835	424
1	4835	424

prune76.0ms

Filtered

54 candidates to 75 candidates (-38.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0.0b

Counts

81 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (* z z)))
7.6b	(* y (* z z))

rewrite11.0ms

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)))
7.0ms	(* y (* z z))

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* y (* z z)))
7.0ms	(* y (* z z))

simplify26.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune26.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

regimes256.0ms

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

sample389.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
15.0ms	672×	body	80	invalid

Details

analyze252.0ms

sample14.0ms

simplify3.0ms

prune10.0ms

localize5.0ms

rewrite8.0ms

series19.0ms

simplify64.0ms

prune42.0ms

localize9.0ms

rewrite13.0ms

series103.0ms

simplify73.0ms

prune67.0ms

localize14.0ms

rewrite15.0ms

series106.0ms

simplify63.0ms

prune76.0ms

localize5.0ms

rewrite11.0ms

series20.0ms

simplify26.0ms

prune26.0ms

regimes256.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample389.0ms

Profiling