Details

analyze7.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample21.0ms

Algorithm

intervals

Results

13.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify32.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (30.0ms)

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

prune6.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 14.1b

Counts

2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

13.6b

(/ (* 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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (8.0ms)

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

prune36.0ms

Filtered

17 candidates to 30 candidates (-76.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
13.2b	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
31×	`times-frac`
25×	`add-exp-log` `add-cbrt-cube`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`associate-l`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`associate-r` `difference-of-squares`
4×	`pow1` `associate-/r*` `associate-/r/` `unswap-sqr`
3×	`div-inv` `associate-/l*`
2×	`flip3--` `flip--` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 86

Calls

2 calls:

16.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
9.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

series14.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(* (/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0)) (/ i (* 2.0 2.0)))
5.0ms	(/ i (- (* (* 2.0 i) (* 2.0 i)) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	530	978
1	2493	842
2	5001	833

prune144.0ms

Filtered

69 candidates to 92 candidates (-33.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	92	3	95

Merged error: 0b

Counts

95 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 0.015625 (/ 1 (pow i 2)))
0.2b	(/ 1 (pow i 4))
0.4b	(* 0.00390625 (/ 1 (pow i 4)))
0.5b	(/ 1 (pow i 2))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

104×	`times-frac`
101×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
68×	`add-cube-cbrt`
62×	`add-exp-log`
53×	`associate-r`
46×	`unpow-prod-down`
24×	`div-exp`
20×	`prod-exp`
18×	`add-cbrt-cube` `sqr-pow`
16×	`unswap-sqr`
15×	`associate-/r*`
12×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp`
9×	`unpow2`
8×	`pow1`
6×	`associate-l` `associate-/l*`
4×	`cbrt-undiv` `cbrt-unprod` `div-inv` `add-log-exp`
2×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 231

Calls

4 calls:

13.0ms	(* 0.015625 (/ 1 (pow i 2)))
4.0ms	(/ 1 (pow i 4))
10.0ms	(* 0.00390625 (/ 1 (pow i 4)))
5.0ms	(/ 1 (pow i 2))

series11.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* 0.015625 (/ 1 (pow i 2)))
3.0ms	(/ 1 (pow i 4))
3.0ms	(* 0.00390625 (/ 1 (pow i 4)))
2.0ms	(/ 1 (pow i 2))

simplify91.0ms

Algorithm

egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	608	1096
1	2777	881
2	5002	745

prune258.0ms

Filtered

114 candidates to 243 candidates (-113.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	243	3	246

Merged error: 0b

Counts

246 → 3

regimes32.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 15.7b

bsearch26.0ms

Steps

Iters	Range		Point
10	2.1934253038476928e-05	138373164.5029507	277.59364913415834

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	16
1	35	16

end0.0ms

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample600.0ms

Algorithm

intervals

Results

416.0ms	8000×	body	80	valid
85.0ms	8000×	pre	80	true

Details

analyze7.0ms

sample21.0ms

simplify32.0ms

prune6.0ms

localize8.0ms

rewrite15.0ms

series6.0ms

simplify40.0ms

prune36.0ms

localize8.0ms

rewrite28.0ms

series14.0ms

simplify64.0ms

prune144.0ms

localize13.0ms

rewrite41.0ms

series11.0ms

simplify91.0ms

prune258.0ms

regimes32.0ms

bsearch26.0ms

simplify1.0ms

end0.0ms

analyze5.0ms

sample600.0ms

Profiling