Details

sample21.0ms

Algorithm

intervals

Results

12.0ms

441×

body

valid

simplify274.0ms

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	3197	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

localize5.0ms

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))

series28.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* 3 (* y y))

simplify191.0ms

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

prune29.0ms

Filtered

22 candidates to 12 candidates (54.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	18	4	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	5	23

Merged error: 0.0b

Counts

23 → 5

localize5.0ms

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)

series29.0ms

Counts

1 → 3

Calls

1 calls:

28.0ms

(* (* 3 y) y)

simplify55.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 3 (52.0ms)

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

prune32.0ms

Filtered

21 candidates to 10 candidates (47.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	20	6	26

Merged error: 0.0b

Counts

26 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b	(* (* (sqrt 3) y) (* (sqrt 3) y))
0.4b	(* (sqrt 3) y)
0.4b	(* (sqrt 3) y)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

9.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
8.0ms	(* (sqrt 3) y)
8.0ms	(* (sqrt 3) y)

series205.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(* (* (sqrt 3) y) (* (sqrt 3) y))
53.0ms	(* (sqrt 3) y)
43.0ms	(* (sqrt 3) y)

simplify134.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	133	312
1	631	242
2	3572	242
3	5002	242

prune95.0ms

Filtered

87 candidates to 42 candidates (48.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	87	6	93

Merged error: 0.0b

Counts

93 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt 3) y) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y)))
0.4b	(* (sqrt 3) y)
0.4b	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y))
1.0b	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
61×	`add-exp-log`
45×	`add-sqr-sqrt`
42×	`pow-prod-down`
41×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
40×	`cbrt-prod`
24×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity`
17×	`associate-l`
14×	`associate-r`
11×	`swap-sqr` `unswap-sqr`
6×	`pow1/3`
4×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 140

Calls

4 calls:

15.0ms	(* (* (sqrt 3) y) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y)))
4.0ms	(* (sqrt 3) y)
10.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y))
7.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series165.0ms

Counts

4 → 10

Calls

4 calls:

76.0ms	(* (* (sqrt 3) y) (* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y)))
45.0ms	(* (sqrt 3) y)
44.0ms	(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) y))
0.0ms	(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify76.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	355	1442
1	1997	1050
2	5001	764

prune173.0ms

Filtered

150 candidates to 65 candidates (43.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	149	1	150
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	150	6	156

Merged error: 0b

Counts

156 → 6

regimes85.0ms

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

sample583.0ms

Algorithm

intervals

Results

371.0ms

14185×

body

valid