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

sample24.0ms

Algorithm

intervals

Results

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

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5507	15

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 25

Calls

1 calls:

16.0ms

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

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4960	463
1	4960	463

prune48.0ms

Filtered

20 candidates to 28 candidates (-40.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	1	28
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	2	30

Merged error: 0b

Counts

30 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 4.0 (pow i 6))
0.0b	(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
0.0b	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-log-exp`
8×	`add-exp-log`
7×	`associate-r`
6×	`add-cube-cbrt` `*-un-lft-identity`
5×	`add-cbrt-cube`
4×	`unpow-prod-down`
3×	`pow1` `associate-l` `prod-exp` `unswap-sqr`
2×	`diff-log` `sum-log` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `associate--r+`

Counts

3 → 49

Calls

3 calls:

5.0ms	(* 4.0 (pow i 6))
7.0ms	(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
5.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

series24.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* 4.0 (pow i 6))
7.0ms	(- (* i (neg (* i 0.25))) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6))))
12.0ms	(+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))

simplify63.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5021	759

prune283.0ms

Filtered

39 candidates to 58 candidates (-48.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	58	2	60

Merged error: 0b

Counts

60 → 2

regimes27.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

sample642.0ms

Algorithm

intervals

Results

441.0ms	8000×	body	80	valid
90.0ms	8000×	pre	80	true

Details

analyze7.0ms

sample24.0ms

simplify44.0ms

prune9.0ms

localize9.0ms

rewrite17.0ms

series7.0ms

simplify31.0ms

prune48.0ms

localize12.0ms

rewrite19.0ms

series24.0ms

simplify63.0ms

prune283.0ms

regimes27.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample642.0ms

Profiling