Details

analyze261.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample15.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	24×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

prune3.0ms

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: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(+ x (* (- y x) z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (- y x) z)
3.0ms	(+ x (* (- y x) z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(* (- y x) z)
8.0ms	(+ x (* (- y x) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5685	303

prune42.0ms

Filtered

27 candidates to 39 candidates (-44.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Merged error: 0.0b

Counts

40 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series98.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt z) (cbrt z))
25.0ms	(cbrt z)
23.0ms	(cbrt z)
23.0ms	(cbrt z)

simplify41.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5084	341

prune62.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
0.2b	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
2.3b	(sqrt (* (- y x) z))
2.3b	(sqrt (* (- y x) z))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

59×	`pow1`
32×	`sqrt-pow1`
22×	`pow-prod-down`
18×	`associate-*l/`
16×	`sqrt-div`
12×	`pow1/2`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
6×	`add-exp-log` `sqrt-prod` `pow-sqr` `add-cbrt-cube` `add-log-exp`
4×	`frac-times` `swap-sqr` `associate-r` `associate-l`
2×	`associate-*r/`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sqrt-unprod` `prod-exp` `sum-log` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

2.0ms	(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
14.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
5.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))

series141.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ x (* (sqrt (* (- y x) z)) (sqrt (* (- y x) z))))
18.0ms	(* (sqrt (* (- y x) z)) (sqrt (* (- y x) z)))
55.0ms	(sqrt (* (- y x) z))
55.0ms	(sqrt (* (- y x) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4973	809
1	4973	809

prune79.0ms

Filtered

64 candidates to 106 candidates (-65.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (sqrt (* (- y x) z)))
2.3b	(sqrt (* (- y x) z))
2.3b	(sqrt (* (- y x) z))
2.3b	(sqrt (* (- y x) z))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
8×	`sqrt-div` `associate-*l/`
6×	`sqrt-pow1`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `cbrt-prod` `flip3--` `sqrt-prod` `add-cbrt-cube` `flip--` `add-log-exp`
3×	`pow1/2` `pow-prod-down`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 53

Calls

4 calls:

5.0ms	(cbrt (sqrt (* (- y x) z)))
5.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))
5.0ms	(sqrt (* (- y x) z))

series195.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(cbrt (sqrt (* (- y x) z)))
54.0ms	(sqrt (* (- y x) z))
52.0ms	(sqrt (* (- y x) z))
55.0ms	(sqrt (* (- y x) z))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4942	617
1	4942	617

prune87.0ms

Filtered

58 candidates to 65 candidates (-12.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	65	4	69

Merged error: 0b

Counts

69 → 4

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

analyze261.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
55.7%	34%	10.3%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

sample359.0ms

Algorithm

intervals

Results

183.0ms	8000×	body	80	valid
13.0ms	599×	body	80	invalid

Details

analyze261.0ms

sample15.0ms

simplify3.0ms

prune3.0ms

localize7.0ms

rewrite10.0ms

series15.0ms

simplify42.0ms

prune42.0ms

localize9.0ms

rewrite11.0ms

series98.0ms

simplify41.0ms

prune62.0ms

localize7.0ms

rewrite30.0ms

series141.0ms

simplify42.0ms

prune79.0ms

localize12.0ms

rewrite22.0ms

series195.0ms

simplify46.0ms

prune87.0ms

regimes185.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze261.0ms

sample359.0ms

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