Details

analyze207.0ms

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
12.5%	87.4%	0.1%	6
18.7%	81.1%	0.1%	7
37.4%	62.4%	0.1%	8
46.8%	46.8%	6.4%	9
54.6%	39%	6.4%	10
62.8%	30.8%	6.4%	11
66.9%	23.6%	9.5%	12
71.7%	18.8%	9.5%	13
75.3%	15.2%	9.5%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	5×	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

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 (* 3.0 y)) z)
0.2b	(* x (* 3.0 y))

rewrite10.0ms

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-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-r` `*-commutative` `flip--`

Counts

2 → 29

Calls

2 calls:

5.0ms	(- (* x (* 3.0 y)) z)
5.0ms	(* x (* 3.0 y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(- (* x (* 3.0 y)) z)
4.0ms	(* x (* 3.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5228	268

prune40.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0.0b

Counts

37 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* x 3.0) y) z)
0.2b	(* (* x 3.0) y)

rewrite11.0ms

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×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--`

Counts

2 → 29

Calls

2 calls:

5.0ms	(- (* (* x 3.0) y) z)
5.0ms	(* (* x 3.0) y)

series10.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(- (* (* x 3.0) y) z)
3.0ms	(* (* x 3.0) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4945	269
1	4945	269

prune36.0ms

Filtered

20 candidates to 35 candidates (-75.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
7.3b	(cbrt (* x (* 3.0 y)))
7.3b	(cbrt (* x (* 3.0 y)))
7.3b	(cbrt (* x (* 3.0 y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
4.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
18.0ms	(cbrt (* x (* 3.0 y)))
20.0ms	(cbrt (* x (* 3.0 y)))
18.0ms	(cbrt (* x (* 3.0 y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5050	509

prune117.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* 3.0 y))
7.3b	(cbrt (* x (* 3.0 y)))
7.3b	(cbrt (* x (* 3.0 y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`cbrt-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 38

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt (* 3.0 y))
4.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))

series84.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt x)
25.0ms	(cbrt (* 3.0 y))
18.0ms	(cbrt (* x (* 3.0 y)))
18.0ms	(cbrt (* x (* 3.0 y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4939	274
1	4939	274

prune80.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

regimes296.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	19	7

end0.0ms

sample354.0ms

Algorithm

intervals

Results

186.0ms	8000×	body	80	valid
6.0ms	269×	body	80	invalid

Details

analyze207.0ms

sample15.0ms

simplify9.0ms

prune9.0ms

localize5.0ms

rewrite10.0ms

series10.0ms

simplify49.0ms

prune40.0ms

localize5.0ms

rewrite11.0ms

series10.0ms

simplify48.0ms

prune36.0ms

localize9.0ms

rewrite18.0ms

series83.0ms

simplify35.0ms

prune117.0ms

localize17.0ms

rewrite11.0ms

series84.0ms

simplify61.0ms

prune80.0ms

regimes296.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample354.0ms

Profiling