Details

sample18.0ms

Algorithm

intervals

Results

5.0ms	236×	body	80	valid
1.0ms	7×	body	1280	valid
0.0ms	4×	body	2560	valid
0.0ms	5×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	3
1	19	3
2	29	3
3	41	3
4	51	3
5	79	3
6	134	3
7	169	3
8	185	3
9	213	3
10	226	3
11	226	3

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (- x y) 2.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r-` `flip3-+` `div-sub` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ x (/ (- x y) 2.0))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(+ x (/ (- x y) 2.0))

simplify81.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	91	81
1	242	74
2	704	74
3	3412	74
4	5001	74

prune49.0ms

Filtered

16 candidates to 12 candidates (25.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	10	6	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	7	17

Merged error: 0.0b

Counts

17 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- (* 1.5 x) (* 0.5 y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

3.0ms

(- (* 1.5 x) (* 0.5 y))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(- (* 1.5 x) (* 0.5 y))

simplify83.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	87	81
1	274	74
2	884	74
3	2126	74
4	5001	74

prune38.0ms

Filtered

15 candidates to 10 candidates (33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	15	7	22

Merged error: 0.0b

Counts

22 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

21.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (+ x (/ (- x y) 2.0)))

series175.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
42.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))

simplify69.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	263	1109
1	751	1044
2	2594	956
3	5001	938

prune363.0ms

Filtered

107 candidates to 75 candidates (29.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	9	114

Merged error: 0.0b

Counts

114 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (+ x (/ (- x y) 2.0)))
0.6b	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cbrt-prod`
17×	`*-un-lft-identity`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

4 → 59

Calls

4 calls:

9.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
8.0ms	(cbrt (+ x (/ (- x y) 2.0)))
9.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

series169.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (+ x (/ (- x y) 2.0)))
41.0ms	(cbrt (+ x (/ (- x y) 2.0)))
43.0ms	(cbrt (cbrt (+ x (/ (- x y) 2.0))))

simplify84.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 4 (76.0ms)

Iter	Nodes	Cost
0	200	630
1	436	592
2	1062	584
3	3502	572
4	5002	564

prune389.0ms

Filtered

71 candidates to 63 candidates (11.3%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	70	10	80

Merged error: 0.0b

Counts

80 → 10

regimes204.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3
1	7	3

end0.0ms

sample404.0ms

Algorithm

intervals

Results

147.0ms	7366×	body	80	valid
20.0ms	238×	body	1280	valid
12.0ms	179×	body	640	valid
8.0ms	91×	body	320	valid
8.0ms	75×	body	2560	valid
2.0ms	53×	body	160	valid

Details

sample18.0ms

simplify18.0ms

prune3.0ms

localize4.0ms

rewrite9.0ms

series5.0ms

simplify81.0ms

prune49.0ms

localize5.0ms

rewrite4.0ms

series6.0ms

simplify83.0ms

prune38.0ms

localize9.0ms

rewrite48.0ms

series175.0ms

simplify69.0ms

prune363.0ms

localize18.0ms

rewrite36.0ms

series169.0ms

simplify84.0ms

prune389.0ms

regimes204.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample404.0ms

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