Details

sample62.0ms

Algorithm

intervals

Results

30.0ms	388×	body	80	valid
8.0ms	146×	body	80	nan

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune7.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.8b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.1b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
1.8b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite33.0ms

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:

6.0ms	(* k (+ 10.0 k))
9.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
14.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series262.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(* k (+ 10.0 k))
82.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
105.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify74.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	608	1105
1	2523	1041
2	5001	1035

prune289.0ms

Filtered

129 candidates to 98 candidates (76.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	128	3	131

Merged error: 1.8b

Counts

131 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
13.6b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
13.6b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series460.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt k)
184.0ms	(cbrt k)
48.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
54.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (60.0ms)

Iter	Nodes	Cost
0	175	324
1	517	312
2	2334	300
3	5002	298

prune217.0ms

Filtered

64 candidates to 54 candidates (84.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	64	3	67

Merged error: 1.8b

Counts

67 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
1.8b	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
13.6b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
13.6b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

1148×	`times-frac`
607×	`add-sqr-sqrt`
583×	`sqrt-prod`
553×	`add-cube-cbrt` `*-un-lft-identity`
294×	`associate-l`
238×	`unpow-prod-down`
82×	`sqr-pow`
48×	`associate-/l*`
34×	`sqrt-div`
30×	`add-exp-log` `associate-/r/`
18×	`add-cbrt-cube`
17×	`flip3-+` `flip-+`
15×	`div-inv` `unswap-sqr`
14×	`div-exp`
8×	`pow1`
6×	`cbrt-undiv` `associate-/r*`
5×	`prod-exp`
4×	`add-log-exp`
3×	`associate-r` `cbrt-unprod`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `associate-/l/`

Counts

4 → 721

Calls

4 calls:

33.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
67.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
6.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series282.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
107.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
55.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
48.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify154.0ms

Algorithm

egg-herbie

Counts

733 → 733

Iterations

Useful iterations: 1 (38.0ms)

Iter	Nodes	Cost
0	1754	13231
1	5002	11898

prune1.6s

Filtered

733 candidates to 398 candidates (54.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	733	0	733
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	733	3	736

Merged error: 1.8b

Counts

736 → 3

regimes55.0ms

Accuracy

0% (0.1b remaining)

Error of 2.1b against oracle of 2.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	18
1	22	18

end0.0ms

sample1.1s

Algorithm

intervals

Results

559.0ms	11890×	body	80	valid
162.0ms	4154×	body	80	nan