Details

Time bar (total: 7.7s)

sample78.0ms

Algorithm
intervals
Results
32.0ms635×body80nan
23.0ms386×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
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
(/ 1.0 (sqrt k))
0.2b
(* (* 2.0 PI) n)
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite48.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 157
Calls
4 calls:
17.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
11.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series561.0ms

Counts
4 → 12
Calls
4 calls:
338.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
40.0ms
(/ 1.0 (sqrt k))
33.0ms
(* (* 2.0 PI) n)
150.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09811502
140211398
250031383

prune478.0ms

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
(* (* 2.0 PI) n)
0.2b
(* (* 2.0 PI) n)
0.6b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.6b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
136×add-sqr-sqrt *-un-lft-identity
122×pow-unpow
100×add-cube-cbrt
26×pow1 add-exp-log
18×distribute-lft-out-- difference-of-squares
14×add-cbrt-cube
12×pow-prod-down prod-exp
8×div-inv
6×pow-pow associate-*r* pow-exp cbrt-unprod
4×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
2×pow-to-exp unpow-prod-down associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 200
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
6.0ms
(* (* 2.0 PI) n)
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
14.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series373.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (* 2.0 PI) n)
34.0ms
(* (* 2.0 PI) n)
149.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
150.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07031718
127971652
250011636

prune827.0ms

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
(/ 1.0 (sqrt k))
0.2b
(/ 1.0 (sqrt k))
0.2b
(* (* 2.0 PI) n)
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite27.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 140
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
6.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series257.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ 1.0 (sqrt k))
42.0ms
(/ 1.0 (sqrt k))
32.0ms
(* (* 2.0 PI) n)
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify63.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0579912
12248843
25001807

prune461.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))
0.4b
(pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)
0.6b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.6b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
204×times-frac
140×add-sqr-sqrt *-un-lft-identity
125×pow-unpow
104×add-cube-cbrt
23×add-exp-log
18×distribute-lft-out-- difference-of-squares
16×pow1 cbrt-prod unpow-prod-down
14×pow-exp
10×cube-prod
9×prod-exp
8×div-sub div-inv sqr-pow
7×pow-pow
6×pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u pow-to-exp log1p-expm1-u pow-sub add-log-exp
2×cube-div cube-mult unpow3
1×cbrt-div pow1/3 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 222
Calls
4 calls:
3.0ms
(cbrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))
4.0ms
(pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)
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))

series682.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))
255.0ms
(pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)
143.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
140.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify92.0ms

Algorithm
egg-herbie
Counts
234 → 234
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08422346
135162294
250012258

prune867.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes123.0ms

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
01913
11913

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.1s20673×body80nan
735.0ms11867×body80valid
1.0ms9×body160nan