Details

sample41.0ms

Algorithm

intervals

Results

16.0ms	391×	body	80	valid
5.0ms	138×	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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(* a (pow k m))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
3.1b	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`prod-exp`
4×	`pow1` `unpow-prod-down` `div-exp` `sum-log`
3×	`flip3-+` `times-frac` `associate-l` `associate-/r*` `flip-+` `unswap-sqr`
2×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-exp` `associate-/r/` `cbrt-unprod` `sqr-pow`
1×	`associate-+l+` `frac-2neg` `clear-num` `-commutative` `div-inv` `associate-/l`

Counts

4 → 74

Calls

4 calls:

5.0ms	(+ 1.0 (* 10.0 k))
12.0ms	(* a (pow k m))
24.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
33.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

series217.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1.0 (* 10.0 k))
60.0ms	(* a (pow k m))
17.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
111.0ms	(/ (* a (pow k m)) (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify57.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	457	599
1	2146	533
2	5001	526

prune226.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (* 10.0 k))
0.0b	(+ (+ 1.0 (* 10.0 k)) (* k k))
0.3b	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
2.9b	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

rewrite136.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
102×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
48×	`unpow-prod-down`
32×	`associate-/r*`
19×	`add-exp-log`
16×	`sqr-pow`
11×	`add-cbrt-cube` `add-log-exp`
10×	`div-exp`
6×	`div-inv` `associate-/l*`
4×	`pow1` `cbrt-undiv` `sum-log`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/l/`
1×	`associate-+l+` `associate-/r/`

Counts

4 → 191

Calls

4 calls:

5.0ms	(+ 1.0 (* 10.0 k))
23.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
66.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
33.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

series222.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ 1.0 (* 10.0 k))
17.0ms	(+ (+ 1.0 (* 10.0 k)) (* k k))
65.0ms	(/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m))
110.0ms	(/ a (/ (+ (+ 1.0 (* 10.0 k)) (* k k)) (pow k m)))

simplify115.0ms

Algorithm

egg-herbie

Counts

203 → 203

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	884	2613
1	4163	2490
2	5003	2481

prune592.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 3.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* k (+ 10.0 k))
0.1b	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
0.3b	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
4.7b	(/ (+ 1.0 (* k (+ 10.0 k))) a)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

1073×	`times-frac`
500×	`add-sqr-sqrt` `*-un-lft-identity`
498×	`add-cube-cbrt`
198×	`unpow-prod-down`
105×	`associate-/r*`
70×	`add-exp-log`
66×	`sqr-pow`
51×	`div-exp`
43×	`div-inv`
22×	`add-cbrt-cube`
19×	`associate-/l*`
10×	`cbrt-undiv`
8×	`pow-to-exp` `pow-exp`
7×	`pow1` `rec-exp` `1-exp`
4×	`associate-r` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num` `associate-/l/`
2×	`flip3-+` `associate-*r/` `flip-+`
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

4 → 602

Calls

4 calls:

21.0ms	(* k (+ 10.0 k))
37.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
36.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
25.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

series284.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* k (+ 10.0 k))
100.0ms	(/ 1 (/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m)))
100.0ms	(/ (/ (+ 1.0 (* k (+ 10.0 k))) a) (pow k m))
45.0ms	(/ (+ 1.0 (* k (+ 10.0 k))) a)

simplify129.0ms

Algorithm

egg-herbie

Counts

614 → 614

Iterations

Useful iterations: 1 (40.0ms)

Iter	Nodes	Cost
0	2178	9172
1	5002	8740

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 3.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
0.3b	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
16.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
16.6b	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
110×	`times-frac`
64×	`sqrt-prod`
61×	`add-cube-cbrt` `*-un-lft-identity`
48×	`associate-r`
30×	`add-exp-log`
24×	`unpow-prod-down` `associate-l`
21×	`unswap-sqr`
18×	`add-cbrt-cube`
12×	`sqr-pow`
11×	`div-exp`
10×	`sqrt-div`
8×	`pow1` `prod-exp`
6×	`associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`cbrt-unprod` `add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`pow-to-exp` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `pow-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

4 → 188

Calls

4 calls:

27.0ms	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
148.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
26.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
22.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k))))
116.0ms	(* (/ a (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))) (/ (pow k m) (sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))))
53.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))
46.0ms	(sqrt (+ (+ 1.0 (* 10.0 k)) (* k k)))

simplify101.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	914	3141
1	4242	2930
2	5001	2826

prune575.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 3.1b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

492.0ms	12045×	body	80	valid
350.0ms	4262×	body	80	nan