Details

Time bar (total: 8.9s)

sample118.0ms

Algorithm
intervals
Results
55.0ms686×body80nan
37.0ms378×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

localize16.0ms

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))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite40.0ms

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:
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))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series547.0ms

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)
39.0ms
(/ 1.0 (sqrt k))
146.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09501461
139241358
250021344

prune429.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.3b
(/ 1.0 (sqrt k))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
64×add-sqr-sqrt *-un-lft-identity
52×add-cube-cbrt
38×pow-unpow
24×sqrt-prod
20×add-exp-log
16×pow1
12×associate-/r*
8×add-cbrt-cube
6×pow-pow pow-prod-down pow-exp prod-exp associate-/l* distribute-lft-out-- difference-of-squares
4×div-inv add-log-exp
2×cbrt-undiv pow-to-exp unpow-prod-down frac-2neg div-sub div-exp clear-num pow-sub sqr-pow
Counts
4 → 150
Calls
4 calls:
6.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series372.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ 1.0 (sqrt k))
39.0ms
(/ 1.0 (sqrt k))
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
141.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04881138
117081070
250011042

prune567.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.9b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.9b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
164×add-sqr-sqrt *-un-lft-identity
141×pow-unpow
122×add-cube-cbrt
24×add-exp-log
22×pow1
21×distribute-lft-out-- difference-of-squares
12×sqrt-prod
10×div-inv
9×pow-pow pow-prod-down pow-exp prod-exp
6×associate-/r* add-cbrt-cube
5×div-sub
4×add-log-exp
3×pow-to-exp unpow-prod-down associate-/l* pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 231
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series475.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
147.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
147.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
243 → 243
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
09632071
135181999
250011987

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.3b
(/ 1.0 (sqrt k))
0.4b
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
200×sqrt-prod
173×add-sqr-sqrt
151×times-frac
109×*-un-lft-identity
103×add-cube-cbrt
33×swap-sqr
25×pow1 associate-*r* associate-*l*
19×pow-unpow
16×add-exp-log unswap-sqr
12×associate-/r*
10×add-cbrt-cube
8×sqrt-pow1 pow1/2
7×div-inv
6×pow-prod-down associate-/l*
5×pow-prod-up
4×sqrt-div prod-exp add-log-exp
3×pow-pow pow-exp pow-sqr distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow2 frac-times pow-to-exp unpow-prod-down pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ rem-square-sqrt *-commutative cbrt-unprod pow-sub sqr-pow
Counts
4 → 241
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
31.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series323.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
45.0ms
(/ 1.0 (sqrt k))
100.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
07471810
134121649
250021634

prune636.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes115.0ms

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
02627
12627

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.7s20930×body80nan
1.3s11944×body80valid
0.0ms1×body160nan