Details

Time bar (total: 8.2s)

sample92.0ms

Algorithm
intervals
Results
38.0ms744×body80nan
22.0ms383×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 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))
1.2b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite86.0ms

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×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 → 149
Calls
4 calls:
36.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
19.0ms
(* (* 2.0 PI) n)
6.0ms
(/ 1.0 (sqrt k))
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series542.0ms

Counts
4 → 12
Calls
4 calls:
323.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
39.0ms
(* (* 2.0 PI) n)
37.0ms
(/ 1.0 (sqrt k))
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09501461
139241358
250021344

prune641.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
0.3b
(/ 1.0 (sqrt k))
1.1b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
1.1b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
157×add-sqr-sqrt
153×*-un-lft-identity
122×pow-unpow
117×add-cube-cbrt
88×add-exp-log
61×prod-exp
36×pow-exp
18×distribute-lft-out-- difference-of-squares
16×pow1
12×pow-to-exp div-sub sqrt-prod
10×sqr-pow
9×div-inv
8×add-cbrt-cube
7×pow-prod-down
6×unpow-prod-down pow-pow associate-/r* pow-sub
5×swap-sqr associate-*r* associate-*l*
4×add-log-exp unswap-sqr
3×associate-/l*
1×cbrt-undiv pow2 frac-times frac-2neg associate-*r/ div-exp associate-*l/ clear-num pow-sqr *-commutative pow-prod-up cbrt-unprod
Counts
4 → 255
Calls
4 calls:
41.0ms
(* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
6.0ms
(/ 1.0 (sqrt k))
26.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
24.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series499.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(* (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)))
36.0ms
(/ 1.0 (sqrt k))
138.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
138.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify106.0ms

Algorithm
egg-herbie
Counts
267 → 267
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
09712554
138642347
250012312

prune792.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.1b
(pow n (/ (- 1.0 k) 2.0))

rewrite60.0ms

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×pow-to-exp div-sub 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 → 161
Calls
4 calls:
28.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
8.0ms
(/ 1.0 (sqrt k))
10.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
7.0ms
(pow n (/ (- 1.0 k) 2.0))

series446.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (/ 1.0 (sqrt k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)))
36.0ms
(/ 1.0 (sqrt k))
72.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
64.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify77.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08191327
131821246
250021236

prune522.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))
0.3b
(/ 1.0 (sqrt k))
0.5b
(pow PI (/ (- 1.0 k) 2.0))
1.1b
(pow n (/ (- 1.0 k) 2.0))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
64×add-exp-log add-sqr-sqrt *-un-lft-identity
52×add-cube-cbrt
38×pow-unpow prod-exp
22×associate-*l*
21×sqrt-prod
18×add-cbrt-cube
14×pow-to-exp pow-exp
11×div-exp
10×div-sub pow-sub
8×pow1
6×unpow-prod-down associate-/r* cbrt-unprod distribute-lft-out-- difference-of-squares
5×frac-times associate-*r/
4×div-inv add-log-exp
3×cbrt-undiv associate-*l/ associate-/l*
2×pow-pow sqr-pow
1×frac-2neg associate-*r* pow-prod-down clear-num *-commutative
Counts
4 → 170
Calls
4 calls:
53.0ms
(* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))
6.0ms
(/ 1.0 (sqrt k))
7.0ms
(pow PI (/ (- 1.0 k) 2.0))
7.0ms
(pow n (/ (- 1.0 k) 2.0))

series704.0ms

Counts
4 → 12
Calls
4 calls:
548.0ms
(* (/ 1.0 (sqrt k)) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))))
43.0ms
(/ 1.0 (sqrt k))
45.0ms
(pow PI (/ (- 1.0 k) 2.0))
67.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
010261582
141121443
250021434

prune545.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes116.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02023
12023

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.0s20959×body80nan
682.0ms11810×body80valid
0.0ms3×body160nan