Details

analyze43.0ms

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
25%	74.9%	0.1%	5
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

sample11.0ms

Algorithm

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	5
1	15	5

prune7.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (* 27.0 y))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-r` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

4.0ms

(* x (* 27.0 y))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* x (* 27.0 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5107	121

prune31.0ms

Filtered

10 candidates to 21 candidates (-110.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b	(* (* x 27.0) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
1×	`associate-l` `*-commutative` `add-log-exp`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (* x 27.0) y)

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (* x 27.0) y)

simplify39.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4903	122
1	4903	122

prune27.0ms

Filtered

9 candidates to 21 candidates (-133.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	20	7	27

Merged error: 0.0b

Counts

27 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* x (* 27.0 y))) (cbrt (* x (* 27.0 y))))
8.9b	(cbrt (* x (* 27.0 y)))
8.9b	(cbrt (* x (* 27.0 y)))
8.9b	(cbrt (* x (* 27.0 y)))

rewrite17.0ms

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:

5.0ms	(* (cbrt (* x (* 27.0 y))) (cbrt (* x (* 27.0 y))))
3.0ms	(cbrt (* x (* 27.0 y)))
3.0ms	(cbrt (* x (* 27.0 y)))
4.0ms	(cbrt (* x (* 27.0 y)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (cbrt (* x (* 27.0 y))) (cbrt (* x (* 27.0 y))))
16.0ms	(cbrt (* x (* 27.0 y)))
17.0ms	(cbrt (* x (* 27.0 y)))
17.0ms	(cbrt (* x (* 27.0 y)))

simplify35.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5050	509

prune127.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	69	8	77

Merged error: 0.0b

Counts

77 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.7b	(cbrt (* 27.0 y))
8.9b	(cbrt (* x (* 27.0 y)))
8.9b	(cbrt (* x (* 27.0 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 (* 27.0 y))
4.0ms	(cbrt (* x (* 27.0 y)))
4.0ms	(cbrt (* x (* 27.0 y)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt x)
24.0ms	(cbrt (* 27.0 y))
19.0ms	(cbrt (* x (* 27.0 y)))
17.0ms	(cbrt (* x (* 27.0 y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4939	274
1	4939	274

prune84.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	50	8	58

Merged error: 0b

Counts

58 → 8

regimes213.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample261.0ms

Algorithm

intervals

Results

144.0ms	8000×	body	80	valid
1.0ms	73×	body	80	invalid

Details

analyze43.0ms

sample11.0ms

simplify3.0ms

prune7.0ms

localize4.0ms

rewrite5.0ms

series3.0ms

simplify49.0ms

prune31.0ms

localize3.0ms

rewrite5.0ms

series4.0ms

simplify39.0ms

prune27.0ms

localize10.0ms

rewrite17.0ms

series80.0ms

simplify35.0ms

prune127.0ms

localize11.0ms

rewrite11.0ms

series81.0ms

simplify60.0ms

prune84.0ms

regimes213.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample261.0ms

Profiling