Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

352×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	3
1	28	3
2	46	3
3	47	3
4	47	3

prune1.0ms

Filtered

1 candidates to 0 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: 0.3b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.3b	(* (* x 3.0) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* (* x 3.0) y) y)
5.0ms	(* (* x 3.0) y)

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (* (* x 3.0) y) y)
23.0ms	(* (* x 3.0) y)

simplify40.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	170	188
1	1034	145
2	5001	145

prune58.0ms

Filtered

45 candidates to 24 candidates (53.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	6	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 0.0b

Counts

46 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 39

Calls

2 calls:

6.0ms	(* (* x (* 3.0 y)) y)
5.0ms	(* x (* 3.0 y))

series56.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(* (* x (* 3.0 y)) y)
23.0ms	(* x (* 3.0 y))

simplify38.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	171	188
1	889	145
2	5001	145

prune46.0ms

Filtered

45 candidates to 21 candidates (46.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	43	9	52

Merged error: 0.0b

Counts

52 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
20.8b	(cbrt (* (* (* x 3.0) y) y))
20.8b	(cbrt (* (* (* x 3.0) y) y))
20.8b	(cbrt (* (* (* x 3.0) y) y))

rewrite25.0ms

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:

7.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
6.0ms	(cbrt (* (* (* x 3.0) y) y))

series503.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
123.0ms	(cbrt (* (* (* x 3.0) y) y))
118.0ms	(cbrt (* (* (* x 3.0) y) y))
117.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	220	537
1	708	472
2	3288	393
3	5002	387

prune174.0ms

Filtered

70 candidates to 56 candidates (80.0%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	68	11	79

Merged error: 0.0b

Counts

79 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(pow (cbrt (cbrt (* (* (* x 3.0) y) y))) 5)
20.8b	(cbrt (* (* (* x 3.0) y) y))
20.8b	(cbrt (* (* (* x 3.0) y) y))
20.8b	(cbrt (* (* (* x 3.0) y) y))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 49

Calls

4 calls:

4.0ms	(pow (cbrt (cbrt (* (* (* x 3.0) y) y))) 5)
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))
5.0ms	(cbrt (* (* (* x 3.0) y) y))

series692.0ms

Counts

4 → 12

Calls

4 calls:

347.0ms	(pow (cbrt (cbrt (* (* (* x 3.0) y) y))) 5)
113.0ms	(cbrt (* (* (* x 3.0) y) y))
113.0ms	(cbrt (* (* (* x 3.0) y) y))
118.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify66.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	241	484
1	635	436
2	2085	403
3	5002	401

prune178.0ms

Filtered

61 candidates to 52 candidates (85.2%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	61	11	72

Merged error: 0.0b

Counts

72 → 11

regimes161.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample404.0ms

Algorithm

intervals

Results

245.0ms

10625×

body

valid

Details

sample16.0ms

simplify9.0ms

prune1.0ms

localize5.0ms

rewrite12.0ms

series56.0ms

simplify40.0ms

prune58.0ms

localize5.0ms

rewrite13.0ms

series56.0ms

simplify38.0ms

prune46.0ms

localize9.0ms

rewrite25.0ms

series503.0ms

simplify104.0ms

prune174.0ms

localize12.0ms

rewrite20.0ms

series692.0ms

simplify66.0ms

prune178.0ms

regimes161.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample404.0ms

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