Details

analyze259.0ms

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
1.0ms	27×	body	80	invalid

simplify2.0ms

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:

2.0ms	(+ x (* (* y z) z))
4.0ms	(* (* y z) z)

series23.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

simplify45.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4977	256
1	4977	256

prune52.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
7.7b	(* y (* z (* (cbrt z) (cbrt z))))

rewrite14.0ms

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))))

series89.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4869	297
1	4869	297

prune74.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt z) (cbrt z))
21.0ms	(cbrt z)
21.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify94.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5084	341

prune78.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.7b	(cbrt (cbrt z))
0.9b	(pow (cbrt (cbrt z)) 4)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

22×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 58

Calls

4 calls:

1.0ms	(cbrt z)
4.0ms	(cbrt (* (cbrt z) (cbrt z)))
2.0ms	(cbrt (cbrt z))
3.0ms	(pow (cbrt (cbrt z)) 4)

series126.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt z)
33.0ms	(cbrt (* (cbrt z) (cbrt z)))
29.0ms	(cbrt (cbrt z))
41.0ms	(pow (cbrt (cbrt z)) 4)

simplify53.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4925	378
1	4925	378

prune81.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

regimes286.0ms

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

analyze255.0ms

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

sample383.0ms

Algorithm

intervals

Results

199.0ms	8000×	body	80	valid
19.0ms	667×	body	80	invalid

Details

analyze259.0ms

sample15.0ms

simplify2.0ms

prune8.0ms

localize5.0ms

rewrite8.0ms

series23.0ms

simplify45.0ms

prune52.0ms

localize11.0ms

rewrite14.0ms

series89.0ms

simplify50.0ms

prune74.0ms

localize8.0ms

rewrite10.0ms

series88.0ms

simplify94.0ms

prune78.0ms

localize15.0ms

rewrite11.0ms

series126.0ms

simplify53.0ms

prune81.0ms

regimes286.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze255.0ms

sample383.0ms

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