Details

sample24.0ms

Algorithm

intervals

Results

13.0ms

485×

body

valid

simplify268.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	7
1	23	6
2	35	4
3	45	4
4	54	4
5	87	4
6	156	4
7	206	4
8	219	4
9	314	4
10	644	4
11	3183	4
12	5001	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* 3 (* y y))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 19

Calls

1 calls:

5.0ms

(* 3 (* y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(* 3 (* y y))

simplify185.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (9.0ms)

Iter	Nodes	Cost
0	86	70
1	288	60
2	1042	57
3	4457	57
4	5002	57

prune30.0ms

Filtered

22 candidates to 12 candidates (54.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	6	23

Merged error: 0.0b

Counts

23 → 6

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (* 3 y) 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

(* (* 3 y) y)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(* (* 3 y) y)

simplify72.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	95	68
1	465	57
2	2244	54
3	5001	53

prune42.0ms

Filtered

21 candidates to 10 candidates (47.6%)

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

localize12.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
0.3b	(* (cbrt 3) (* y y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
16×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-sqr-sqrt`
4×	`cbrt-prod` `add-cube-cbrt` `*-un-lft-identity`
2×	`associate-r` `*-commutative` `add-log-exp` `unswap-sqr`

Counts

2 → 51

Calls

2 calls:

12.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
7.0ms	(* (cbrt 3) (* y y))

series136.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* y y)))
48.0ms	(* (cbrt 3) (* y y))

simplify96.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	185	380
1	705	272
2	3749	219
3	5003	217

prune64.0ms

Filtered

57 candidates to 26 candidates (45.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	57	7	64

Merged error: 0b

Counts

64 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (sqrt 3)) y)
0.1b	(* (cbrt (sqrt 3)) y)
0.2b	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
0.3b	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

156×	`pow1`
81×	`pow-prod-down`
61×	`add-exp-log`
41×	`prod-exp` `cbrt-unprod`
37×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
20×	`associate-l`
18×	`pow-prod-up`
16×	`cbrt-prod`
12×	`add-cube-cbrt` `*-un-lft-identity` `pow-plus` `pow-sqr`
8×	`associate-r` `sqrt-prod`
7×	`unswap-sqr`
4×	`*-commutative` `add-log-exp`
3×	`pow2`
1×	`swap-sqr`

Counts

4 → 144

Calls

4 calls:

5.0ms	(* (cbrt (sqrt 3)) y)
5.0ms	(* (cbrt (sqrt 3)) y)
22.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
9.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

series1.2s

Counts

4 → 12

Calls

4 calls:

269.0ms	(* (cbrt (sqrt 3)) y)
280.0ms	(* (cbrt (sqrt 3)) y)
350.0ms	(* (* (cbrt 3) (cbrt 3)) (* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y)))
279.0ms	(* (* (cbrt (sqrt 3)) y) (* (cbrt (sqrt 3)) y))

simplify80.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	310	1140
1	1569	844
2	5001	761

prune228.0ms

Filtered

156 candidates to 78 candidates (50.0%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	156	7	163

Merged error: 0b

Counts

163 → 7

regimes102.0ms

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	10	4
1	10	4

end0.0ms

sample641.0ms

Algorithm

intervals

Results

414.0ms

14340×

body

valid

Details

sample24.0ms

simplify268.0ms

prune4.0ms

localize6.0ms

rewrite6.0ms

series27.0ms

simplify185.0ms

prune30.0ms

localize6.0ms

rewrite5.0ms

series26.0ms

simplify72.0ms

prune42.0ms

localize12.0ms

rewrite20.0ms

series136.0ms

simplify96.0ms

prune64.0ms

localize12.0ms

rewrite48.0ms

series1.2s

simplify80.0ms

prune228.0ms

regimes102.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample641.0ms

Profiling