Details

sample20.0ms

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 (29.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	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

localize11.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `flip3--` `frac-2neg` `-un-lft-identity` `times-frac` `clear-num` `associate-/r` `flip--` `log1p-expm1-u` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 29

Calls

1 calls:

14.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	319	406
1	1586	285
2	5001	285

prune38.0ms

Filtered

32 candidates to 19 candidates (59.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Merged error: 0b

Counts

33 → 2

localize13.0ms

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` `expm1-log1p-u` `pow-flip` `frac-2neg` `clear-num` `log1p-expm1-u` `div-inv` `inv-pow` `add-log-exp`

Counts

2 → 114

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))
26.0ms	(/ 1 (pow i 4))

simplify35.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	269	518
1	1051	444
2	5001	368

prune132.0ms

Filtered

120 candidates to 47 candidates (39.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	120	2	122

Merged error: 0b

Counts

122 → 2

regimes14.0ms

Accuracy

100% (0.0b remaining)

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

bsearch51.0ms

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	29	14
1	29	14

end0.0ms

sample448.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
83.0ms	8000×	pre	80	true