Details

sample19.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify30.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	31	12
1	168	11
2	965	9
3	5001	8

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 16.3b

Counts

2 → 1

localize12.0ms

Local error

Found 1 expressions with local error:

15.8b

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 27

Calls

1 calls:

14.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series79.0ms

Counts

1 → 3

Calls

1 calls:

79.0ms

(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify39.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	311	392
1	1550	273
2	5001	273

prune34.0ms

Filtered

30 candidates to 17 candidates (56.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0b

Counts

31 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1 (pow i 2))
0.7b	(/ 1 (pow i 4))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
35×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
20×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `add-cbrt-cube` `associate-/l*`
4×	`unpow2`
2×	`pow1` `cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `div-inv` `inv-pow` `add-log-exp`

Counts

2 → 110

Calls

2 calls:

5.0ms	(/ 1 (pow i 2))
5.0ms	(/ 1 (pow i 4))

series42.0ms

Counts

2 → 6

Calls

2 calls:

15.0ms	(/ 1 (pow i 2))
27.0ms	(/ 1 (pow i 4))

simplify34.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	265	506
1	1047	432
2	5001	356

prune113.0ms

Filtered

116 candidates to 43 candidates (37.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	116	2	118

Merged error: 0b

Counts

118 → 2

regimes14.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.3b

bsearch53.0ms

Steps

Iters	Range		Point
10	52.019786645311775	1087091076984567.0	5190.074899509633

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

sample451.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
82.0ms	8000×	pre	80	true