Details

Time bar (total: 9.4s)

sample148.0ms

Algorithm
intervals
Results
74.0ms708×body80nan
47.0ms377×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.2b
(/ 1.0 (sqrt k))
0.2b
(* (* 2.0 PI) n)
0.5b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
55×times-frac
49×*-un-lft-identity
46×add-exp-log
43×add-cube-cbrt
23×associate-*l* sqrt-prod
22×prod-exp
19×pow-unpow
16×add-cbrt-cube
15×pow1
9×pow-exp
8×associate-*r*
6×div-exp pow-prod-down associate-/r* unswap-sqr
5×cbrt-unprod sqr-pow
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp pow-pow div-sub div-inv associate-/l* distribute-lft-out-- pow-sub difference-of-squares
2×cbrt-undiv unpow-prod-down *-commutative
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num
Counts
4 → 157
Calls
4 calls:
18.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series547.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
43.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
145.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09811502
140211398
250031383

prune519.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt k))
0.2b
(/ 1.0 (sqrt k))
0.2b
(* (* 2.0 PI) n)
0.5b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
51×times-frac
50×add-sqr-sqrt *-un-lft-identity
44×add-cube-cbrt
24×sqrt-prod
19×add-exp-log pow-unpow
15×pow1
13×add-cbrt-cube
12×associate-/r*
6×pow-prod-down prod-exp associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod div-inv distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 140
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series266.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1.0 (sqrt k))
39.0ms
(/ 1.0 (sqrt k))
38.0ms
(* (* 2.0 PI) n)
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0579912
12248843
25001807

prune521.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt (sqrt k)))
0.4b
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
0.5b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
594×sqrt-prod
591×times-frac
328×add-sqr-sqrt *-un-lft-identity
322×add-cube-cbrt
34×associate-/l*
22×add-exp-log
19×pow-unpow
18×associate-/r*
16×add-cbrt-cube
15×pow1
13×div-inv
6×pow-prod-down prod-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×frac-2neg clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative associate-/l/ pow-sub sqr-pow
Counts
4 → 447
Calls
4 calls:
7.0ms
(* (* 2.0 PI) n)
4.0ms
(/ 1.0 (sqrt (sqrt k)))
21.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series403.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 PI) n)
178.0ms
(/ 1.0 (sqrt (sqrt k)))
39.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
153.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013555833
150015050

prune881.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt k))
0.3b
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
0.4b
(pow n (/ (- 1.0 k) 2.0))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
70×times-frac
64×*-un-lft-identity
52×add-cube-cbrt
38×pow-unpow
30×add-exp-log
23×sqrt-prod
22×associate-*l*
11×prod-exp add-cbrt-cube
8×pow1
7×pow-exp
6×associate-/r* distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
5×unpow-prod-down div-exp associate-*r*
4×expm1-log1p-u pow-to-exp div-sub log1p-expm1-u div-inv pow-sub add-log-exp
3×pow-pow associate-/l*
2×cbrt-undiv cbrt-unprod
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 169
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
16.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
4.0ms
(pow n (/ (- 1.0 k) 2.0))
6.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

series478.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1.0 (sqrt k))
299.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
66.0ms
(pow n (/ (- 1.0 k) 2.0))
73.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08441367
132551284
250011267

prune573.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01814
11814

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.1s20643×body80nan
1.5s11686×body80valid