Details

sample222.0ms

Algorithm

intervals

Results

61.0ms	116×	body	1280	valid
31.0ms	63×	body	640	valid
29.0ms	29×	body	1280	nan
23.0ms	122×	body	80	overflowed
20.0ms	30×	body	640	nan
9.0ms	97×	body	80	valid
8.0ms	169×	body	80	nan
7.0ms	21×	body	320	valid
4.0ms	10×	body	320	nan
3.0ms	15×	body	160	valid
1.0ms	6×	body	160	nan

simplify38.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4978	13
1	4978	13

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: 33.8b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
10×	`unpow-prod-down`
9×	`difference-of-squares`
8×	`*-un-lft-identity`
6×	`sqr-pow`
3×	`distribute-lft-out--` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out`

Counts

1 → 24

Calls

1 calls:

10.0ms

(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series44.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify54.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4941	590
1	4941	590

prune70.0ms

Filtered

23 candidates to 27 candidates (-17.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 25.3b

Counts

28 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

0.8b	(/ 1.0 (* x n))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ 1.0 (* x n))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(/ 1.0 (* x n))

simplify63.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4989	152
1	4989	152

prune45.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	19	8	27

Merged error: 24.7b

Counts

27 → 8

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 x) (/ 1.0 n))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

11.0ms

(* (/ 1 x) (/ 1.0 n))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(* (/ 1 x) (/ 1.0 n))

simplify63.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5583	432

prune88.0ms

Filtered

34 candidates to 59 candidates (-73.5%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	55	12	67

Merged error: 24.7b

Counts

67 → 12

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(* n (sqrt x))
0.3b	(* (/ 1 (sqrt x)) (/ 1.0 (* n (sqrt x))))
0.3b	(/ 1 (sqrt x))
0.8b	(/ 1.0 (* n (sqrt x)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
54×	`add-exp-log`
46×	`times-frac`
41×	`*-un-lft-identity`
39×	`add-cube-cbrt`
34×	`add-cbrt-cube`
27×	`sqrt-prod`
25×	`associate-l`
18×	`div-exp` `prod-exp`
13×	`associate-r`
10×	`pow1` `cbrt-undiv` `cbrt-unprod`
7×	`associate-/r*` `unswap-sqr`
6×	`associate-/l*`
4×	`rec-exp` `1-exp` `div-inv` `add-log-exp`
3×	`pow-flip`
2×	`frac-2neg` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l/` `inv-pow`

Counts

4 → 152

Calls

4 calls:

8.0ms	(* n (sqrt x))
15.0ms	(* (/ 1 (sqrt x)) (/ 1.0 (* n (sqrt x))))
5.0ms	(/ 1 (sqrt x))
6.0ms	(/ 1.0 (* n (sqrt x)))

series30.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* n (sqrt x))
7.0ms	(* (/ 1 (sqrt x)) (/ 1.0 (* n (sqrt x))))
7.0ms	(/ 1 (sqrt x))
9.0ms	(/ 1.0 (* n (sqrt x)))

simplify46.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5116	1308

prune146.0ms

Filtered

100 candidates to 164 candidates (-64.0%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	154	10	164
Fresh	3	6	9
Picked	1	0	1
Done	0	2	2
Total	158	18	176

Merged error: 24.7b

Counts

176 → 18

regimes420.0ms

Accuracy

86% (1.5b remaining)

Error of 23.4b against oracle of 21.9b and baseline of 32.7b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	33
1	23	33

end0.0ms

sample7.0s

Algorithm

intervals

Results

2.1s	3937×	body	1280	valid
1.0s	1072×	body	1280	nan
836.0ms	1767×	body	640	valid
585.0ms	3907×	body	80	overflowed
579.0ms	888×	body	640	nan
295.0ms	3002×	body	80	valid
287.0ms	5963×	body	80	nan
272.0ms	873×	body	320	valid
181.0ms	446×	body	320	nan
79.0ms	419×	body	160	valid
41.0ms	187×	body	160	nan

Details

sample222.0ms

simplify38.0ms

prune3.0ms

localize8.0ms

rewrite11.0ms

series44.0ms

simplify54.0ms

prune70.0ms

localize4.0ms

rewrite5.0ms

series4.0ms

simplify63.0ms

prune45.0ms

localize7.0ms

rewrite13.0ms

series4.0ms

simplify63.0ms

prune88.0ms

localize8.0ms

rewrite38.0ms

series30.0ms

simplify46.0ms

prune146.0ms

regimes420.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample7.0s

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