Details

analyze566.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	34×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	157	7
1	157	7

prune3.0ms

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 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* x y) (* z t))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 11

Calls

1 calls:

3.0ms

(- (* x y) (* z t))

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(- (* x y) (* z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5477	145

prune19.0ms

Filtered

11 candidates to 14 candidates (-27.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
1.5b	(cbrt (- (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
3.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))

series171.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t))))
40.0ms	(cbrt (- (* x y) (* z t)))
39.0ms	(cbrt (- (* x y) (* z t)))
41.0ms	(cbrt (- (* x y) (* z t)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5125	1444

prune109.0ms

Filtered

74 candidates to 99 candidates (-33.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0b

Counts

101 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.9b	(pow (cbrt (cbrt (- (* x y) (* z t)))) 4)
1.5b	(cbrt (- (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))
1.5b	(cbrt (- (* x y) (* z t)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(pow (cbrt (cbrt (- (* x y) (* z t)))) 4)
4.0ms	(cbrt (- (* x y) (* z t)))
4.0ms	(cbrt (- (* x y) (* z t)))
3.0ms	(cbrt (- (* x y) (* z t)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(pow (cbrt (cbrt (- (* x y) (* z t)))) 4)
41.0ms	(cbrt (- (* x y) (* z t)))
39.0ms	(cbrt (- (* x y) (* z t)))
41.0ms	(cbrt (- (* x y) (* z t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4949	991
1	4949	991

prune117.0ms

Filtered

61 candidates to 75 candidates (-23.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	75	3	78

Merged error: 0b

Counts

78 → 3

regimes371.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	7
1	35	7

end0.0ms

sample503.0ms

Algorithm

intervals

Results

222.0ms	8000×	body	80	valid
35.0ms	1354×	body	80	invalid

Details

analyze566.0ms

sample19.0ms

simplify7.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series13.0ms

simplify43.0ms

prune19.0ms

localize10.0ms

rewrite23.0ms

series171.0ms

simplify48.0ms

prune109.0ms

localize15.0ms

rewrite18.0ms

series192.0ms

simplify46.0ms

prune117.0ms

regimes371.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample503.0ms

Profiling