Details

analyze1.0s

Algorithm: search

sample39.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
6.0ms	71×	body	80	invalid
2.0ms	57×	body	80	nan

simplify102.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3963	6
6	5002	6

prune11.0ms

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: 2.0b

Counts

2 → 2

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
2.0b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

2.0ms	(+ 1.0 (* 10.0 k))
4.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
8.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series50.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ 1.0 (* 10.0 k))
4.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
40.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	414	491
1	1833	435
2	5001	430

prune73.0ms

Filtered

41 candidates to 58 candidates (-41.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	57	3	60

Merged error: 2.0b

Counts

60 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
0.0b	(* k (+ 10.0 k))
2.0b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt`
45×	`times-frac`
38×	`*-un-lft-identity`
36×	`add-cube-cbrt`
30×	`associate-l`
22×	`unpow-prod-down`
20×	`add-exp-log`
12×	`add-cbrt-cube`
8×	`sqr-pow`
7×	`pow1` `associate-r` `associate-/l*`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `associate-/r*` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `pow-prod-down` `pow-exp` `-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

3 → 120

Calls

3 calls:

8.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
5.0ms	(* k (+ 10.0 k))
13.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series46.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
4.0ms	(* k (+ 10.0 k))
28.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	627	1119
1	2587	1052
2	5001	1052

prune188.0ms

Filtered

98 candidates to 129 candidates (-31.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	129	3	132

Merged error: 2.0b

Counts

132 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.1b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
15.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
15.9b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

116×	`add-sqr-sqrt`
92×	`times-frac`
52×	`sqrt-prod`
48×	`associate-r`
46×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
16×	`add-cbrt-cube`
12×	`sqr-pow`
10×	`div-exp`
9×	`add-log-exp`
8×	`pow1` `sqrt-div` `prod-exp`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `associate-/r/` `cbrt-unprod`
3×	`sum-log`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp` `div-inv`
1×	`+-commutative` `frac-times` `associate-+l+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 160

Calls

4 calls:

5.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
33.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
34.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
3.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
4.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify90.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	869	2737
1	3910	2557
2	5002	2443

prune346.0ms

Filtered

112 candidates to 172 candidates (-53.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	172	3	175

Merged error: 2.0b

Counts

175 → 3

regimes231.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	16	7

end0.0ms

analyze986.0ms

Algorithm: search

sample1.2s

Algorithm

intervals

Results

530.0ms	8000×	body	80	valid
263.0ms	3268×	body	80	invalid
96.0ms	2033×	body	80	nan

Details

analyze1.0s

sample39.0ms

simplify102.0ms

prune11.0ms

localize10.0ms

rewrite16.0ms

series50.0ms

simplify48.0ms

prune73.0ms

localize9.0ms

rewrite32.0ms

series46.0ms

simplify70.0ms

prune188.0ms

localize12.0ms

rewrite53.0ms

series44.0ms

simplify90.0ms

prune346.0ms

regimes231.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze986.0ms

sample1.2s

Profiling