Details

Time bar (total: 7.7s)

sample73.0ms

Algorithm
intervals
Results
29.0ms569×body80nan
22.0ms358×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: 0.4b

localize18.0ms

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

rewrite45.0ms

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:
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))

series550.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
45.0ms
(/ 1.0 (sqrt k))
31.0ms
(* (* 2.0 PI) n)
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09501461
139241358
250021344

prune439.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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×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 → 132
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
11.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series259.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1.0 (sqrt k))
45.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0563883
12197815
25001791

prune451.0ms

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 (fabs (cbrt k))) (sqrt (cbrt k)))
0.6b
(cbrt k)
0.6b
(cbrt k)
1.0b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
133×add-sqr-sqrt *-un-lft-identity
127×add-cube-cbrt
84×sqrt-prod
48×cbrt-prod
19×pow-unpow
15×add-exp-log
13×associate-/l*
12×div-inv
10×pow1
9×associate-/r* add-cbrt-cube
4×add-log-exp
3×cbrt-undiv pow-pow div-exp pow-prod-down pow-exp prod-exp distribute-lft-out-- difference-of-squares
2×pow1/3
1×pow-to-exp unpow-prod-down frac-2neg div-sub clear-num associate-/l/ pow-sub sqr-pow
Counts
4 → 212
Calls
4 calls:
13.0ms
(/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))
1.0ms
(cbrt k)
1.0ms
(cbrt k)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series773.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))
176.0ms
(cbrt k)
183.0ms
(cbrt k)
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify95.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09192656
134902553
250022501

prune935.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
59×add-sqr-sqrt
43×*-un-lft-identity
38×pow-unpow
34×sqrt-prod
31×add-cube-cbrt
30×times-frac
28×pow1
23×add-exp-log
12×pow-prod-down sqr-pow
11×associate-*r* add-cbrt-cube
10×swap-sqr prod-exp
9×associate-*l* unswap-sqr
6×unpow-prod-down pow-pow sqrt-pow1 pow1/2 div-sub pow-exp distribute-lft-out-- pow-sub difference-of-squares
4×sqrt-div cbrt-unprod add-log-exp
3×pow-sqr pow-prod-up
2×pow-to-exp *-commutative div-inv
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ rem-square-sqrt
Counts
4 → 151
Calls
4 calls:
7.0ms
(* (* 2.0 PI) n)
18.0ms
(* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series470.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 2.0 PI) n)
142.0ms
(* (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))))
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
04931465
122301352
250011326

prune509.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.5b 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
02121
12121

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s20780×body80nan
716.0ms11983×body80valid
0.0ms2×body160nan