Details

Time bar (total: 8.4s)

sample115.0ms

Algorithm
intervals
Results
52.0ms605×body80nan
38.0ms389×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0298
1598
21198
33258
410348
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))

rewrite46.0ms

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)))
9.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series524.0ms

Counts
4 → 12
Calls
4 calls:
318.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms
(* (* 2.0 PI) n)
41.0ms
(/ 1.0 (sqrt k))
134.0ms
(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

prune388.0ms

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×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 → 150
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))

series432.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)))
36.0ms
(/ 1.0 (sqrt k))
71.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
58.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify74.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07641218
129671142
250021130

prune475.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite42.0ms

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×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 → 163
Calls
4 calls:
23.0ms
(* (* (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))

series534.0ms

Counts
4 → 12
Calls
4 calls:
388.0ms
(* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0))) (pow n (/ (- 1.0 k) 2.0)))
41.0ms
(/ 1.0 (sqrt k))
44.0ms
(pow PI (/ (- 1.0 k) 2.0))
61.0ms
(pow n (/ (- 1.0 k) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
175 → 175
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09361481
138161272
250011262

prune503.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.5b
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
1.3b
(pow n (/ (/ (- 1.0 k) 2.0) 2))
1.3b
(pow n (/ (/ (- 1.0 k) 2.0) 2))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
237×times-frac
166×add-sqr-sqrt *-un-lft-identity
141×pow-unpow
124×add-cube-cbrt
21×distribute-lft-out-- difference-of-squares
12×sqrt-prod
11×add-exp-log
10×div-inv
9×pow1
7×unpow-prod-down
6×associate-/r* add-cbrt-cube
5×div-sub
4×pow-pow pow-exp add-log-exp
3×pow-to-exp associate-/l* pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp pow-prod-down prod-exp clear-num
Counts
4 → 225
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
5.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
12.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
9.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))

series252.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ 1.0 (sqrt k))
93.0ms
(pow (* 2.0 PI) (/ (- 1.0 k) 2.0))
55.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
63.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))

simplify71.0ms

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
08761586
134241544
250011536

prune828.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes179.0ms

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 (1.0ms)

IterNodesCost
01711
11711

end0.0ms

sample3.5s

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