Details

Time bar (total: 7.1s)

sample81.0ms

Algorithm
intervals
Results
33.0ms671×body80nan
24.0ms362×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:

0.2b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
0.9b
(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:
20.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
6.0ms
(* (* 2.0 PI) n)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series554.0ms

Counts
4 → 12
Calls
4 calls:
334.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
39.0ms
(/ 1.0 (sqrt k))
40.0ms
(* (* 2.0 PI) n)
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09501461
139241358
250021344

prune428.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
594×sqrt-prod
591×times-frac
328×add-sqr-sqrt *-un-lft-identity
322×add-cube-cbrt
34×associate-/l*
22×add-exp-log
19×pow-unpow
18×associate-/r*
16×add-cbrt-cube
15×pow1
13×div-inv
6×pow-prod-down prod-exp
4×cbrt-undiv div-exp add-log-exp
3×pow-pow associate-*r* pow-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×frac-2neg clear-num
1×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative associate-/l/ pow-sub sqr-pow
Counts
4 → 439
Calls
4 calls:
4.0ms
(/ 1.0 (sqrt (sqrt k)))
6.0ms
(* (* 2.0 PI) n)
17.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series392.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(/ 1.0 (sqrt (sqrt k)))
32.0ms
(* (* 2.0 PI) n)
45.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify81.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013345795
150015011

prune768.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

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))
6.0ms
(* (* 2.0 PI) n)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series264.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
46.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0563883
12197815
25001791

prune433.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt k)
0.6b
(cbrt k)
0.6b
(cbrt k)
0.9b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
19×pow-unpow
16×add-cube-cbrt
15×times-frac
10×pow1 add-exp-log
9×cbrt-prod
4×add-cbrt-cube add-log-exp
3×pow-pow pow1/3 pow-prod-down pow-exp prod-exp distribute-lft-out-- difference-of-squares
1×pow-to-exp unpow-prod-down div-sub div-inv pow-sub sqr-pow
Counts
4 → 69
Calls
4 calls:
0.0ms
(cbrt k)
0.0ms
(cbrt k)
0.0ms
(cbrt k)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series699.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt k)
187.0ms
(cbrt k)
181.0ms
(cbrt k)
147.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify38.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0356444
11211420
25001392

prune374.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

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
01913
11913

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.2s20743×body80nan
705.0ms11931×body80valid
0.0ms2×body160nan