Details

sample20.0ms

Algorithm

intervals

Results

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

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (35.0ms)

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

prune6.0ms

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: 14.8b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

14.3b

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

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

1040×	`add-sqr-sqrt`
600×	`times-frac`
459×	`associate-l`
414×	`*-un-lft-identity`
411×	`associate-r`
318×	`add-cube-cbrt`
313×	`unswap-sqr`
219×	`swap-sqr`
144×	`difference-of-squares`
105×	`*-commutative`
48×	`distribute-lft-out--`
40×	`associate-/r*`
22×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/l*`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
2×	`associate-*l/` `associate-/r/`
1×	`pow1` `expm1-log1p-u` `flip3--` `frac-2neg` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 681

Calls

1 calls:

63.0ms

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

series90.0ms

Counts

1 → 3

Calls

1 calls:

90.0ms

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

simplify158.0ms

Algorithm

egg-herbie

Counts

684 → 684

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	2410	9101
1	5001	8877

prune533.0ms

Filtered

684 candidates to 232 candidates (33.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	683	1	684
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	683	2	685

Merged error: 0b

Counts

685 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
0.0b	(/ i (- (* 2.0 i) (sqrt 1.0)))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

1905×	`add-sqr-sqrt`
1430×	`*-un-lft-identity`
1307×	`times-frac`
760×	`add-cube-cbrt`
726×	`frac-times`
638×	`associate-/l*`
634×	`associate-r`
632×	`associate-/r*`
388×	`difference-of-squares`
323×	`associate-l`
265×	`unswap-sqr`
194×	`sqrt-prod` `distribute-lft-out--`
182×	`associate-/l/`
140×	`distribute-lft-out`
139×	`swap-sqr`
94×	`clear-num`
92×	`frac-2neg`
66×	`associate-*r/`
58×	`associate-/r/`
50×	`*-commutative`
45×	`add-exp-log` `add-cbrt-cube`
30×	`div-inv`
28×	`flip3--` `flip--`
18×	`cbrt-undiv` `div-exp`
14×	`prod-exp` `cbrt-unprod`
11×	`associate-*l/`
4×	`pow1` `un-div-inv`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`flip3-+` `pow-prod-down` `flip-+`

Counts

2 → 1435

Calls

2 calls:

240.0ms	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
11.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))

series318.0ms

Counts

2 → 6

Calls

2 calls:

218.0ms	(* (/ i (+ (* 2.0 i) (sqrt 1.0))) (/ (/ i (- (* 2.0 i) (sqrt 1.0))) (* 2.0 2.0)))
100.0ms	(/ i (- (* 2.0 i) (sqrt 1.0)))

simplify252.0ms

Algorithm

egg-herbie

Counts

1441 → 1441

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5001	21400

prune1.8s

Filtered

1441 candidates to 605 candidates (42.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	1441	0	1441
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	1441	2	1443

Merged error: 0b

Counts

1443 → 2

regimes11.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	11
1	15	11

end0.0ms

sample588.0ms

Algorithm

intervals

Results

270.0ms	8000×	pre	80	true
220.0ms	8000×	body	80	valid