Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	32	12
1	172	11
2	974	9
3	5001	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize9.0ms

Local error

Found 1 expressions with local error:

17.5b

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

rewrite63.0ms

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:

62.0ms

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

series74.0ms

Counts

1 → 3

Calls

1 calls:

74.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 1 (9.0ms)

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

prune75.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.2b	(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
0.2b	(/ 1 (pow i 4))
0.3b	(/ 1 (pow i 2))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`unpow-prod-down`
22×	`add-exp-log`
15×	`associate-/r*`
12×	`div-exp`
8×	`add-cbrt-cube` `sqr-pow`
6×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `add-log-exp`
2×	`cbrt-undiv` `pow-flip` `frac-2neg` `clear-num` `fma-udef` `div-inv` `inv-pow`

Counts

4 → 134

Calls

4 calls:

0.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
0.0ms	(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
8.0ms	(/ 1 (pow i 4))
8.0ms	(/ 1 (pow i 2))

series110.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma 0.00390625 (/ 1 (pow i 4)) (fma 0.015625 (/ 1 (pow i 2)) 0.0625))
38.0ms	(fma 0.015625 (/ 1 (pow i 2)) 0.0625)
28.0ms	(/ 1 (pow i 4))
15.0ms	(/ 1 (pow i 2))

simplify39.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	310	683
1	1198	587
2	5002	511

prune284.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes15.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 16.2b

bsearch67.0ms

Steps

Iters	Range		Point
9	0.0036879332488998742	7617248.030713613	246.52987275554028

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	14
1	29	14

end0.0ms

sample597.0ms

Algorithm

intervals

Results

435.0ms	8000×	body	80	valid
67.0ms	8000×	pre	80	true