Details

sample35.0ms

Algorithm

intervals

Results

15.0ms	363×	body	80	valid
5.0ms	141×	body	80	nan

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

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

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize10.0ms

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))
1.9b	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

rewrite59.0ms

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:

10.0ms	(* k (+ 10.0 k))
11.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
33.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

series215.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(* k (+ 10.0 k))
68.0ms	(/ (pow k m) (+ (* k (+ 10.0 k)) 1.0))
105.0ms	(* (/ (pow k m) (+ (* k (+ 10.0 k)) 1.0)) a)

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (58.0ms)

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

prune325.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.2b	(+ (+ 1.0 (* 10.0 k)) (* k k))
1.9b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite29.0ms

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))
12.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
14.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ 1.0 (* 10.0 k))
18.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
117.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify51.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	404	484
1	1787	427
2	5001	418

prune135.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.1b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
3.3b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

910×	`times-frac`
415×	`add-sqr-sqrt` `*-un-lft-identity`
413×	`add-cube-cbrt`
156×	`unpow-prod-down`
98×	`associate-/r*`
56×	`add-exp-log`
52×	`sqr-pow`
42×	`div-exp`
34×	`div-inv`
16×	`add-cbrt-cube`
7×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1` `pow-to-exp` `pow-exp` `associate-/l*`
4×	`associate-r`
3×	`associate-l` `add-log-exp`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+` `associate-/l/`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `inv-pow` `unswap-sqr`

Counts

3 → 472

Calls

3 calls:

10.0ms	(* k (+ 10.0 k))
26.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
9.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series193.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* k (+ 10.0 k))
106.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
41.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify108.0ms

Algorithm

egg-herbie

Counts

481 → 481

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2087	7315
1	5001	6920

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.9b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample1.0s

Algorithm

intervals

Results

503.0ms	11892×	body	80	valid
154.0ms	4212×	body	80	nan