Details

sample199.0ms

Algorithm

intervals

Results

74.0ms	971×	body	80	nan
29.0ms	348×	body	80	valid
18.0ms	31×	body	1280	nan
12.0ms	29×	body	640	nan
12.0ms	90×	body	80	overflowed
8.0ms	18×	body	320	nan
1.0ms	7×	body	160	nan

simplify34.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	8
1	59	8
2	119	8
3	325	8
4	1034	8
5	5001	8

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: 0.7b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sqrt k))
0.2b	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b	(* (* 2.0 PI) n)
0.5b	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt`
55×	`times-frac`
49×	`*-un-lft-identity`
46×	`add-exp-log`
43×	`add-cube-cbrt`
23×	`associate-l` `sqrt-prod`
22×	`prod-exp`
19×	`pow-unpow`
16×	`add-cbrt-cube`
15×	`pow1`
9×	`pow-exp`
8×	`associate-r`
6×	`div-exp` `pow-prod-down` `associate-/r*` `unswap-sqr`
5×	`cbrt-unprod` `sqr-pow`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-pow` `div-sub` `div-inv` `associate-/l*` `distribute-lft-out--` `pow-sub` `difference-of-squares`
2×	`cbrt-undiv` `unpow-prod-down` `*-commutative`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 149

Calls

4 calls:

4.0ms	(/ 1.0 (sqrt k))
13.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms	(* (* 2.0 PI) n)
9.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series90.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ 1.0 (sqrt k))
62.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms	(* (* 2.0 PI) n)
17.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (87.0ms)

Iter	Nodes	Cost
0	953	1493
1	4233	1364
2	5002	1352

prune320.0ms

Filtered

107 candidates to 161 candidates (-50.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	149	12	161
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	12	162

Merged error: 0.0b

Counts

162 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* (* 2.0 PI) n) (/ k 2.0))
0.3b	(* (* 2.0 PI) n)
0.3b	(* (* 2.0 PI) n)
0.4b	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `pow-unpow`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `associate-l` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
4.0ms	(* (* 2.0 PI) n)
4.0ms	(* (* 2.0 PI) n)
6.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series46.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
3.0ms	(* (* 2.0 PI) n)
3.0ms	(* (* 2.0 PI) n)
26.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	528
1	1774	479
2	5002	473

prune199.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	11	11
Picked	1	0	1
Done	0	0	0
Total	106	12	118

Merged error: 0.0b

Counts

118 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* (* 2.0 PI) n) (/ k 2.0))
0.3b	(* (* 2.0 PI) n)
0.3b	(* (* 2.0 PI) n)
0.4b	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `pow-unpow`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `associate-l` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
4.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
6.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series44.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
3.0ms	(* (* 2.0 PI) n)
3.0ms	(* (* 2.0 PI) n)
24.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	528
1	1774	479
2	5002	473

prune238.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	106	12	118

Merged error: 0.0b

Counts

118 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (* (* 2.0 PI) n) (/ k 2.0))
0.3b	(* (* 2.0 PI) n)
0.3b	(* (* 2.0 PI) n)
0.4b	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

26×	`pow1` `add-exp-log` `pow-unpow`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
14×	`add-cbrt-cube`
12×	`pow-prod-down` `prod-exp`
6×	`pow-pow` `associate-r` `pow-exp` `cbrt-unprod`
4×	`add-log-exp`
2×	`pow-to-exp` `unpow-prod-down` `associate-l` `*-commutative` `div-inv` `sqr-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
6.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series47.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(pow (* (* 2.0 PI) n) (/ k 2.0))
3.0ms	(* (* 2.0 PI) n)
3.0ms	(* (* 2.0 PI) n)
24.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	453	528
1	1774	479
2	5002	473

prune167.0ms

Filtered

67 candidates to 106 candidates (-58.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	10	10
Picked	1	0	1
Done	0	1	1
Total	106	12	118

Merged error: 0.0b

Counts

118 → 12

regimes236.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	27397×	body	80	nan
917.0ms	10689×	body	80	valid
617.0ms	992×	body	1280	nan
377.0ms	829×	body	640	nan
336.0ms	2432×	body	80	overflowed
134.0ms	426×	body	320	nan
39.0ms	222×	body	160	nan

Details

sample199.0ms

simplify34.0ms

prune3.0ms

localize13.0ms

rewrite36.0ms

series90.0ms

simplify101.0ms

prune320.0ms

localize18.0ms

rewrite24.0ms

series46.0ms

simplify48.0ms

prune199.0ms

localize22.0ms

rewrite24.0ms

series44.0ms

simplify50.0ms

prune238.0ms

localize18.0ms

rewrite25.0ms

series47.0ms

simplify47.0ms

prune167.0ms

regimes236.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.0s

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