Details

analyze261.0ms

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	15×	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

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.1b	(* (* 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))
5.0ms	(* (* y z) z)

series19.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4869	256
1	4869	256

prune44.0ms

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:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.5b	(cbrt z)
8.0b	(* 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))))

series87.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt z)
20.0ms	(cbrt z)
21.0ms	(cbrt z)
25.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify75.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4853	298
1	4853	298

prune70.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
0.6b	(cbrt (cbrt z))
8.0b	(* 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:

2.0ms	(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))
28.0ms	(cbrt (cbrt z))
30.0ms	(cbrt (cbrt z))
20.0ms	(* y (* z (* (cbrt z) (cbrt z))))

simplify41.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (36.0ms)

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)))
10.9b	(* 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))

series19.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ x (* y (* z z)))
6.0ms	(* y (* z z))

simplify24.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4995	264
1	4995	264

prune29.0ms

Filtered

21 candidates to 36 candidates (-71.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	34	2	36
Fresh	1	1	2
Picked	0	1	1
Done	1	2	3
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

regimes250.0ms

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

sample403.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
16.0ms	675×	body	80	invalid

Details

analyze261.0ms

sample15.0ms

simplify3.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series19.0ms

simplify65.0ms

prune44.0ms

localize9.0ms

rewrite13.0ms

series87.0ms

simplify75.0ms

prune70.0ms

localize13.0ms

rewrite15.0ms

series106.0ms

simplify41.0ms

prune76.0ms

localize5.0ms

rewrite9.0ms

series19.0ms

simplify24.0ms

prune29.0ms

regimes250.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample403.0ms

Profiling