Details

sample18.0ms

Algorithm

intervals

Results

7.0ms

341×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (* (* x 3.0) y) y)
0.2b	(* (* 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)
4.0ms	(* (* x 3.0) y)

series10.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify36.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (6.0ms)

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

prune251.0ms

Filtered

24 candidates to 45 candidates (-87.5%)

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

localize8.0ms

Local error

Found 2 expressions with local error:

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

series11.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify39.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 1 (7.0ms)

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

prune47.0ms

Filtered

21 candidates to 45 candidates (-114.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
24.6b	(cbrt (* (* (* x 3.0) y) y))
24.6b	(cbrt (* (* (* x 3.0) y) y))
24.6b	(cbrt (* (* (* x 3.0) y) y))

rewrite22.0ms

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

series103.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (cbrt (* (* (* x 3.0) y) y)) (cbrt (* (* (* x 3.0) y) y)))
26.0ms	(cbrt (* (* (* x 3.0) y) y))
23.0ms	(cbrt (* (* (* x 3.0) y) y))
24.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify106.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	220	561
1	716	496
2	3663	429
3	5002	423

prune145.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	68	10	78

Merged error: 0.0b

Counts

78 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
13.0b	(cbrt (* (* x 3.0) y))
24.6b	(cbrt (* (* (* x 3.0) y) y))
24.6b	(cbrt (* (* (* x 3.0) y) y))

rewrite14.0ms

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

series86.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt y)
18.0ms	(cbrt (* (* x 3.0) y))
23.0ms	(cbrt (* (* (* x 3.0) y) y))
23.0ms	(cbrt (* (* (* x 3.0) y) y))

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (25.0ms)

Iter	Nodes	Cost
0	189	301
1	402	270
2	1131	238
3	3280	218
4	5001	218

prune96.0ms

Filtered

41 candidates to 50 candidates (-22.0%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	49	1	50
Fresh	2	4	6
Picked	0	1	1
Done	0	3	3
Total	51	9	60

Merged error: 0.0b

Counts

60 → 9

regimes247.0ms

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	3
1	9	3

end0.0ms

sample503.0ms

Algorithm

intervals

Results

235.0ms

10692×

body

valid

Details

sample18.0ms

simplify7.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series10.0ms

simplify36.0ms

prune251.0ms

localize8.0ms

rewrite12.0ms

series11.0ms

simplify39.0ms

prune47.0ms

localize12.0ms

rewrite22.0ms

series103.0ms

simplify106.0ms

prune145.0ms

localize12.0ms

rewrite14.0ms

series86.0ms

simplify84.0ms

prune96.0ms

regimes247.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample503.0ms

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