Details

analyze467.0ms

Algorithm: search

sample26.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	68×	body	80	nan

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	33	7
2	42	7
3	44	7
4	44	7

prune4.0ms

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: 21.5b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(+ (* x y) (* x z))
2.0b	(+ (+ (* x y) (* x z)) (* y z))
20.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
5×	`add-sqr-sqrt`
4×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log`
3×	`add-exp-log` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `sqrt-div`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `distribute-lft-out`

Counts

3 → 40

Calls

3 calls:

3.0ms	(+ (* x y) (* x z))
6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series48.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
35.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify127.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	256	358
1	972	331
2	3980	326
3	5002	326

prune79.0ms

Filtered

38 candidates to 49 candidates (-28.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 21.4b

Counts

50 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (+ (* x y) (* x z)) (* y z))
2.0b	(+ (+ (* x y) (* x z)) (* y z))
20.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sum-log` `sqrt-prod`
4×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 56

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
8.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series78.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
32.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify102.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	193	582
1	729	538
2	3189	532
3	5003	532

prune94.0ms

Filtered

54 candidates to 68 candidates (-25.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	2	68
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	67	6	73

Merged error: 21.4b

Counts

73 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

2.0b	(+ (+ (* x y) (* x z)) (* y z))
20.3b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
20.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
8×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1`
4×	`add-exp-log` `cbrt-div` `flip3-+` `add-cbrt-cube` `flip-+`
3×	`sum-log` `sqrt-prod`
2×	`pow1/3` `sqrt-div`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

6.0ms	(+ (+ (* x y) (* x z)) (* y z))
5.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
8.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series152.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
31.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
59.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
55.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify113.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	265	653
1	904	605
2	3752	592
3	5001	583

prune125.0ms

Filtered

55 candidates to 66 candidates (-20.0%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	2	66
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 21.4b

Counts

72 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

20.3b	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
20.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
20.8b	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 89

Calls

4 calls:

22.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
5.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt (* (* (cbrt (+ (+ (* x y) (* x z)) (* y z))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))) (cbrt (+ (+ (* x y) (* x z)) (* y z)))))
57.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
56.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))
58.0ms	(cbrt (+ (+ (* x y) (* x z)) (* y z)))

simplify159.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 3 (138.0ms)

Iter	Nodes	Cost
0	366	2175
1	967	2109
2	4156	2076
3	5003	1972

prune114.0ms

Filtered

69 candidates to 101 candidates (-46.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	101	8	109

Merged error: 21.4b

Counts

109 → 8

regimes432.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

analyze455.0ms

Algorithm: search

sample710.0ms

Algorithm

intervals

Results

379.0ms	8000×	body	80	valid
106.0ms	2314×	body	80	nan

Details

analyze467.0ms

sample26.0ms

simplify9.0ms

prune4.0ms

localize10.0ms

rewrite15.0ms

series48.0ms

simplify127.0ms

prune79.0ms

localize12.0ms

rewrite26.0ms

series78.0ms

simplify102.0ms

prune94.0ms

localize19.0ms

rewrite25.0ms

series152.0ms

simplify113.0ms

prune125.0ms

localize14.0ms

rewrite41.0ms

series203.0ms

simplify159.0ms

prune114.0ms

regimes432.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze455.0ms

sample710.0ms

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