Details

Time bar (total: 8.9s)

sample115.0ms

Algorithm
intervals
Results
52.0ms605×body80nan
38.0ms389×body80valid

simplify36.0ms

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: 0.8b

localize13.0ms

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
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
1.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite44.0ms

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:
17.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
13.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series537.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
37.0ms
(* (* 2.0 PI) n)
38.0ms
(/ 1.0 (sqrt k))
143.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09811502
140211398
250031383

prune479.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.4b
(pow n (/ (- 1.0 k) 2.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
53×*-un-lft-identity
48×times-frac
41×add-cube-cbrt
38×pow-unpow
30×add-exp-log
16×prod-exp
13×pow-exp
12×sqrt-prod
10×unpow-prod-down
9×pow-to-exp sqr-pow
8×pow1 add-cbrt-cube
7×associate-*r*
6×div-sub associate-/r* distribute-lft-out-- pow-sub difference-of-squares unswap-sqr
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-pow div-inv associate-/l*
2×pow-prod-down
1×cbrt-undiv frac-times frac-2neg associate-*r/ div-exp associate-*l/ clear-num *-commutative cbrt-unprod
Counts
4 → 158
Calls
4 calls:
10.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
5.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
4.0ms
(pow n (/ (- 1.0 k) 2.0))

series464.0ms

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
37.0ms
(/ 1.0 (sqrt k))
77.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
62.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
07881258
130481181
250021165

prune513.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow PI (/ (- 1.0 k) 2.0))
1.4b
(pow n (/ (- 1.0 k) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
57×prod-exp
53×add-sqr-sqrt *-un-lft-identity
48×times-frac
41×add-cube-cbrt
38×pow-unpow
30×pow-to-exp pow-exp
14×div-sub pow-sub
12×sqrt-prod
11×add-cbrt-cube
9×unpow-prod-down
7×associate-*r*
6×pow1 associate-/r* distribute-lft-out-- difference-of-squares
5×frac-times associate-*l/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ cbrt-unprod div-inv associate-/l* sqr-pow
2×pow-pow pow-prod-down
1×cbrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative
Counts
4 → 171
Calls
4 calls:
20.0ms
(* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
4.0ms
(pow PI (/ (- 1.0 k) 2.0))
4.0ms
(pow n (/ (- 1.0 k) 2.0))

series559.0ms

Counts
4 → 12
Calls
4 calls:
409.0ms
(* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
37.0ms
(/ 1.0 (sqrt k))
51.0ms
(pow PI (/ (- 1.0 k) 2.0))
62.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09611523
139251313
250031304

prune549.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt (sqrt k)))
0.3b
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.4b
(pow n (/ (- 1.0 k) 2.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
606×times-frac
594×sqrt-prod
343×add-sqr-sqrt *-un-lft-identity
331×add-cube-cbrt
38×pow-unpow
34×associate-/l*
18×associate-/r*
15×add-exp-log
14×div-inv
11×add-cbrt-cube
8×pow1
6×distribute-lft-out-- difference-of-squares
4×cbrt-undiv expm1-log1p-u unpow-prod-down div-exp log1p-expm1-u add-log-exp
3×pow-pow pow-exp
2×pow-to-exp frac-2neg div-sub clear-num pow-sub sqr-pow
1×pow-prod-down prod-exp associate-/l/
Counts
4 → 461
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt (sqrt k)))
16.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
5.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
4.0ms
(pow n (/ (- 1.0 k) 2.0))

series351.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(/ 1.0 (sqrt (sqrt k)))
44.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
76.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
57.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify78.0ms

Algorithm
egg-herbie
Counts
473 → 473
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013475868
150015108

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes129.0ms

Accuracy

0% (0.5b 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
02417
12417

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.7s20152×body80nan
1.2s11903×body80valid
0.0ms2×body160nan