Details

analyze243.0ms

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
43.7%	56.2%	0.1%	9
54.6%	39%	6.4%	10
58.5%	35.1%	6.4%	11
67.3%	26.3%	6.4%	12
71.7%	18.8%	9.5%	13
74.1%	16.4%	9.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	9×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	225	7
1	225	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite3.0ms

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 4.0) z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(- x (* (* y 4.0) z))

simplify29.0ms

Algorithm

egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5036	145

prune29.0ms

Filtered

12 candidates to 14 candidates (-16.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	12	2	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	3	15

Merged error: 0b

Counts

15 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
0.5b	(cbrt (- x (* y (* 4.0 z))))
0.5b	(cbrt (- x (* y (* 4.0 z))))
0.5b	(cbrt (- x (* y (* 4.0 z))))

rewrite20.0ms

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:

10.0ms	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
2.0ms	(cbrt (- x (* y (* 4.0 z))))
2.0ms	(cbrt (- x (* y (* 4.0 z))))
2.0ms	(cbrt (- x (* y (* 4.0 z))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (- x (* y (* 4.0 z)))) (cbrt (- x (* y (* 4.0 z)))))
66.0ms	(cbrt (- x (* y (* 4.0 z))))
54.0ms	(cbrt (- x (* y (* 4.0 z))))
37.0ms	(cbrt (- x (* y (* 4.0 z))))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4889	1436
1	4889	1436

prune211.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	99	3	102

Merged error: 0b

Counts

102 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (* y (* 4.0 z)))
0.1b	(pow (- x (* y (* 4.0 z))) 3)
39.9b	(cbrt (pow (- x (* y (* 4.0 z))) 3))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 59

Calls

3 calls:

3.0ms	(- x (* y (* 4.0 z)))
4.0ms	(pow (- x (* y (* 4.0 z))) 3)
4.0ms	(cbrt (pow (- x (* y (* 4.0 z))) 3))

series41.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(- x (* y (* 4.0 z)))
22.0ms	(pow (- x (* y (* 4.0 z))) 3)
11.0ms	(cbrt (pow (- x (* y (* 4.0 z))) 3))

simplify34.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5003	813

prune80.0ms

Filtered

41 candidates to 68 candidates (-65.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	68	3	71

Merged error: 0b

Counts

71 → 3

regimes269.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	86	7
1	86	7

end0.0ms

sample381.0ms

Algorithm

intervals

Results

201.0ms	8000×	body	80	valid
7.0ms	298×	body	80	invalid

Details

analyze243.0ms

sample15.0ms

simplify9.0ms

prune9.0ms

localize5.0ms

rewrite3.0ms

series9.0ms

simplify29.0ms

prune29.0ms

localize9.0ms

rewrite20.0ms

series210.0ms

simplify65.0ms

prune211.0ms

localize8.0ms

rewrite12.0ms

series41.0ms

simplify34.0ms

prune80.0ms

regimes269.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample381.0ms

Profiling