Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

358×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	34	7
1	34	7

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: 0.1b

Counts

2 → 2

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)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (* (* x 3.0) y) y)
3.0ms	(* (* x 3.0) y)

simplify45.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4953	307
1	4953	307

prune64.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	37	8	45
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	37	10	47

Merged error: 0.0b

Counts

47 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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)
7.0ms	(* x (* 3.0 y))

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify32.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5185	308

prune41.0ms

Filtered

16 candidates to 45 candidates (-181.3%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	45	10	55

Merged error: 0.0b

Counts

55 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
9.9b	(cbrt (* x (* 3.0 y)))
9.9b	(cbrt (* x (* 3.0 y)))
9.9b	(cbrt (* x (* 3.0 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 (* 3.0 y))) (cbrt (* x (* 3.0 y))))
3.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))
3.0ms	(cbrt (* x (* 3.0 y)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* x (* 3.0 y))) (cbrt (* x (* 3.0 y))))
17.0ms	(cbrt (* x (* 3.0 y)))
17.0ms	(cbrt (* x (* 3.0 y)))
17.0ms	(cbrt (* x (* 3.0 y)))

simplify34.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5050	509

prune136.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	69	11	80

Merged error: 0.0b

Counts

80 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt (* 3.0 y))
9.9b	(cbrt (* x (* 3.0 y)))
9.9b	(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))
3.0ms	(cbrt (* x (* 3.0 y)))
4.0ms	(cbrt (* x (* 3.0 y)))

series83.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt x)
25.0ms	(cbrt (* 3.0 y))
19.0ms	(cbrt (* x (* 3.0 y)))
17.0ms	(cbrt (* x (* 3.0 y)))

simplify62.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4939	274
1	4939	274

prune86.0ms

Filtered

37 candidates to 50 candidates (-35.1%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	50	11	61

Merged error: 0.0b

Counts

61 → 11

regimes245.0ms

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	9	7
1	9	7

end0.0ms

sample522.0ms

Algorithm

intervals

Results

247.0ms

10750×

body

valid

Details

sample19.0ms

simplify3.0ms

prune7.0ms

localize5.0ms

rewrite12.0ms

series11.0ms

simplify45.0ms

prune64.0ms

localize5.0ms

rewrite14.0ms

series11.0ms

simplify32.0ms

prune41.0ms

localize12.0ms

rewrite17.0ms

series81.0ms

simplify34.0ms

prune136.0ms

localize13.0ms

rewrite11.0ms

series83.0ms

simplify62.0ms

prune86.0ms

regimes245.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample522.0ms

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