Details

Time bar (total: 9.8s)

sample124.0ms

Algorithm
intervals
Results
56.0ms667×body80nan
43.0ms395×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)))
0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.8b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite39.0ms

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:
16.0ms
(* (/ 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))

series524.0ms

Counts
4 → 12
Calls
4 calls:
313.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms
(* (* 2.0 PI) n)
40.0ms
(/ 1.0 (sqrt k))
139.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify99.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09501461
139241358
250021344

prune418.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.3b
(/ 1.0 (sqrt k))
0.8b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite24.0ms

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:
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series255.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* 2.0 PI) n)
37.0ms
(/ 1.0 (sqrt k))
38.0ms
(/ 1.0 (sqrt k))
143.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0563883
12197815
25001791

prune434.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))
0.6b
(cbrt k)
0.6b
(cbrt k)
0.8b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
421×times-frac
391×add-sqr-sqrt
241×cbrt-prod
181×*-un-lft-identity
175×add-cube-cbrt
137×associate-*l*
64×sqrt-prod
58×associate-*r*
49×unswap-sqr
31×add-exp-log
19×pow-unpow
16×add-cbrt-cube
12×pow1
9×cbrt-undiv div-exp prod-exp div-inv
6×cbrt-unprod
4×pow-prod-down add-log-exp
3×pow-pow pow-exp distribute-lft-out-- difference-of-squares
2×pow1/3
1×frac-times pow-to-exp unpow-prod-down div-sub associate-*r/ associate-*l/ associate-/r/ *-commutative pow-sub sqr-pow
Counts
4 → 326
Calls
4 calls:
135.0ms
(* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))
0.0ms
(cbrt k)
0.0ms
(cbrt k)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series801.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (/ (cbrt 1.0) (/ (fabs (cbrt k)) (cbrt 1.0))) (/ (cbrt 1.0) (sqrt (cbrt k))))
174.0ms
(cbrt k)
174.0ms
(cbrt k)
145.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify70.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
015194793
150014663

prune1.9s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.8b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.8b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
150×add-sqr-sqrt *-un-lft-identity
122×pow-unpow
114×add-cube-cbrt
23×add-exp-log
21×pow1
18×distribute-lft-out-- difference-of-squares
12×sqrt-prod
11×add-cbrt-cube
9×pow-prod-down prod-exp div-inv
6×pow-pow pow-exp associate-/r*
4×div-sub add-log-exp
3×associate-*r* cbrt-unprod associate-/l*
2×pow-to-exp unpow-prod-down pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative
Counts
4 → 213
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
16.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
12.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series352.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) n)
42.0ms
(/ 1.0 (sqrt k))
137.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
142.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify82.0ms

Algorithm
egg-herbie
Counts
225 → 225
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
08591848
133841776
250011766

prune709.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes90.0ms

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
02922
12922

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.7s20513×body80nan
1.2s11860×body80valid
0.0ms1×body160nan