Details

sample40.0ms

Algorithm

intervals

Results

18.0ms	393×	body	80	valid
5.0ms	132×	body	80	nan

simplify124.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	24	7
1	48	7
2	96	6
3	256	6
4	891	6
5	3954	6
6	5002	6

prune7.0ms

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: 2.4b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.3b	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
2.3b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

113×	`*-un-lft-identity`
73×	`times-frac`
60×	`associate-l`
59×	`add-sqr-sqrt`
47×	`add-cube-cbrt`
37×	`unpow-prod-down`
33×	`distribute-lft-out`
20×	`add-exp-log`
15×	`associate-*l/`
14×	`associate-/l*`
13×	`sqr-pow`
12×	`add-cbrt-cube`
10×	`associate-/r*`
7×	`pow1` `associate-r`
6×	`div-exp`
5×	`prod-exp` `unswap-sqr`
4×	`associate-/r/`
3×	`flip3-+` `cbrt-unprod` `flip-+` `add-log-exp`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `associate-r/` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `div-inv`

Counts

3 → 166

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
15.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
26.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series242.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* k (+ 10.0 k))
75.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
116.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify98.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	624	1363
1	2982	1298
2	5001	1298

prune292.0ms

Filtered

175 candidates to 110 candidates (37.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	171	4	175
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	173	4	177

Merged error: 2.4b

Counts

177 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
2.4b	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

292×	`times-frac`
290×	`*-un-lft-identity`
142×	`add-sqr-sqrt`
140×	`add-cube-cbrt`
81×	`unpow-prod-down`
75×	`distribute-lft-out`
53×	`associate-/r*`
40×	`associate-l`
27×	`sqr-pow`
20×	`add-exp-log`
17×	`associate-/r/`
13×	`associate-/l*`
12×	`add-cbrt-cube`
10×	`div-exp`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `associate-r` `associate-/l/`
3×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `add-log-exp`
2×	`+-commutative` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `associate-*r/` `pow-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 280

Calls

3 calls:

6.0ms	(* k (+ 10.0 k))
18.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
29.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

series276.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(* k (+ 10.0 k))
81.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
139.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

simplify156.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	897	3020
1	4327	2943
2	5001	2943

prune454.0ms

Filtered

289 candidates to 164 candidates (43.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	289	4	293

Merged error: 2.4b

Counts

293 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.0b	(* (/ a (- (+ (* k (+ 10.0 k)) 1.0))) (- (pow k m)))
3.6b	(/ a (- (+ (* k (+ 10.0 k)) 1.0)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

131×	`*-un-lft-identity`
85×	`times-frac`
72×	`add-sqr-sqrt`
67×	`associate-l`
65×	`add-cube-cbrt`
47×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`distribute-lft-out`
28×	`associate-/r*`
22×	`associate-r`
20×	`associate-*l/`
12×	`add-exp-log` `add-cbrt-cube`
9×	`neg-mul-1`
7×	`pow1`
6×	`unpow-prod-down` `associate-/l*`
4×	`associate-/r/` `distribute-neg-frac`
3×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `associate-r/` `div-exp` `pow-prod-down` `clear-num` `-commutative` `div-inv` `sqr-pow`
1×	`distribute-rgt-neg-out`

Counts

3 → 200

Calls

3 calls:

7.0ms	(* k (+ 10.0 k))
37.0ms	(* (/ a (- (+ (* k (+ 10.0 k)) 1.0))) (- (pow k m)))
15.0ms	(/ a (- (+ (* k (+ 10.0 k)) 1.0)))

series584.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* k (+ 10.0 k))
439.0ms	(* (/ a (- (+ (* k (+ 10.0 k)) 1.0))) (- (pow k m)))
83.0ms	(/ a (- (+ (* k (+ 10.0 k)) 1.0)))

simplify154.0ms

Algorithm

egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	820	1725
1	4176	1654
2	5003	1654

prune408.0ms

Filtered

209 candidates to 139 candidates (33.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	209	4	213

Merged error: 2.4b

Counts

213 → 4

localize13.0ms

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)))
2.3b	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
14.7b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.7b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite394.0ms

Algorithm

rewrite-expression-head

Rules

2026×	`times-frac`
1850×	`*-un-lft-identity`
1293×	`sqrt-prod`
880×	`add-sqr-sqrt`
826×	`add-cube-cbrt`
758×	`associate-l`
512×	`distribute-lft-out`
442×	`unpow-prod-down`
150×	`sqr-pow`
138×	`associate-/l*`
91×	`associate-*l/`
44×	`sqrt-div`
40×	`associate-/r/`
36×	`associate-/l/`
32×	`associate-/r*`
30×	`add-exp-log`
22×	`flip3-+` `flip-+`
20×	`div-inv`
18×	`add-cbrt-cube`
15×	`unswap-sqr`
14×	`div-exp`
8×	`pow1`
6×	`cbrt-undiv`
5×	`prod-exp`
4×	`frac-2neg` `clear-num` `add-log-exp`
3×	`associate-r` `cbrt-unprod`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 1264

Calls

4 calls:

62.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
148.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
11.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
11.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series364.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0)))
136.0ms	(* (/ (/ (pow k m) (sqrt (+ (* k (+ 10.0 k)) 1.0))) (sqrt (+ (* k (+ 10.0 k)) 1.0))) a)
71.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
64.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify298.0ms

Algorithm

egg-herbie

Counts

1276 → 1276

Iterations

Useful iterations: 1 (63.0ms)

Iter	Nodes	Cost
0	1923	20108
1	5001	18338

prune1.8s

Filtered

1276 candidates to 473 candidates (62.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	1275	1	1276
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	1276	4	1280

Merged error: 2.4b

Counts

1280 → 4

regimes63.0ms

Accuracy

0% (0.0b remaining)

Error of 2.2b against oracle of 2.2b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	8
1	33	8
2	39	8
3	39	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

561.0ms	11958×	body	80	valid
161.0ms	4214×	body	80	nan