Details

sample249.0ms

Algorithm

intervals

Results

96.0ms	984×	body	80	nan
39.0ms	341×	body	80	valid
24.0ms	33×	body	1280	nan
23.0ms	44×	body	640	nan
17.0ms	100×	body	80	overflowed
6.0ms	15×	body	320	nan
1.0ms	4×	body	160	nan

simplify35.0ms

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	1044	8
5	5001	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 0.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 157

Calls

4 calls:

11.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms	(/ 1.0 (sqrt k))
5.0ms	(* (* 2.0 PI) n)
10.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series568.0ms

Counts

4 → 12

Calls

4 calls:

352.0ms	(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
42.0ms	(/ 1.0 (sqrt k))
31.0ms	(* (* 2.0 PI) n)
142.0ms	(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify101.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	981	1502
1	4021	1398
2	5003	1383

prune469.0ms

Filtered

169 candidates to 119 candidates (70.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	157	12	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	12	170

Merged error: 0.0b

Counts

170 → 12

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (sqrt k))
0.3b	(* (* 2.0 PI) n)
0.4b	(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
0.4b	(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

67×	`add-sqr-sqrt` `*-un-lft-identity`
60×	`times-frac`
50×	`pow-unpow`
43×	`add-cube-cbrt`
36×	`sqrt-prod`
24×	`add-exp-log`
15×	`pow1`
12×	`difference-of-squares`
11×	`pow-exp` `add-cbrt-cube`
9×	`prod-exp`
7×	`unpow-prod-down`
6×	`pow-prod-down` `associate-/r*` `distribute-lft-out` `distribute-lft-out--`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `associate-r` `cbrt-unprod` `div-inv` `associate-/l*` `sqr-pow`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `pow-sub`

Counts

4 → 152

Calls

4 calls:

4.0ms	(/ 1.0 (sqrt k))
5.0ms	(* (* 2.0 PI) n)
12.0ms	(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
11.0ms	(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

series1.2s

Counts

4 → 12

Calls

4 calls:

38.0ms	(/ 1.0 (sqrt k))
39.0ms	(* (* 2.0 PI) n)
815.0ms	(pow (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (/ (- (sqrt 1.0) (sqrt k)) 2.0))
277.0ms	(pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1))

simplify81.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1933	3806
1	5001	3737

prune565.0ms

Filtered

164 candidates to 105 candidates (64.0%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	3	8	11
Picked	0	1	1
Done	0	0	0
Total	165	11	176

Merged error: 0.0b

Counts

176 → 11

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

176×	`add-exp-log`
105×	`prod-exp`
39×	`pow-exp`
36×	`div-exp`
26×	`add-cbrt-cube`
20×	`pow1`
13×	`add-sqr-sqrt` `pow-to-exp` `add-cube-cbrt` `pow-unpow` `*-un-lft-identity`
10×	`times-frac` `cbrt-unprod`
9×	`pow-prod-down`
6×	`associate-r`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow`
2×	`associate-l` `*-commutative` `div-inv`
1×	`unpow-prod-down` `frac-2neg` `clear-num` `associate-/r` `associate-/l` `sqr-pow`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series1.4s

Counts

4 → 12

Calls

4 calls:

1.0s	(/ (* 1.0 (pow (* (* 2.0 PI) n) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* 2.0 PI) n) (/ k 2.0))))
38.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
265.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify107.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	935	1406
1	4011	1247
2	5003	1237

prune260.0ms

Filtered

138 candidates to 67 candidates (48.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	138	11	149

Merged error: 0.0b

Counts

149 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (sqrt k))
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

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
22×	`add-exp-log`
20×	`pow1`
16×	`add-cbrt-cube`
13×	`pow-unpow`
12×	`sqrt-prod`
9×	`pow-prod-down` `prod-exp`
6×	`associate-r` `associate-/r*` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-pow` `pow-exp` `associate-/l*`
2×	`associate-l` `*-commutative` `div-inv`
1×	`cbrt-undiv` `pow-to-exp` `unpow-prod-down` `frac-2neg` `div-exp` `clear-num` `sqr-pow`

Counts

4 → 112

Calls

4 calls:

4.0ms	(/ 1.0 (sqrt k))
5.0ms	(* (* 2.0 PI) n)
5.0ms	(* (* 2.0 PI) n)
7.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

series359.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ 1.0 (sqrt k))
31.0ms	(* (* 2.0 PI) n)
31.0ms	(* (* 2.0 PI) n)
254.0ms	(pow (* (* 2.0 PI) n) (/ 1.0 2.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	447	593
1	1634	533
2	5001	520

prune267.0ms

Filtered

124 candidates to 81 candidates (65.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	124	11	135

Merged error: 0.0b

Counts

135 → 11

regimes196.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	15
1	24	15

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	27013×	body	80	nan
955.0ms	10648×	body	80	valid
632.0ms	984×	body	1280	nan
378.0ms	835×	body	640	nan
357.0ms	2498×	body	80	overflowed
125.0ms	399×	body	320	nan
42.0ms	231×	body	160	nan