Details

Time bar (total: 12.9s)

sample108.0ms

Algorithm
intervals
Results
45.0ms513×body80nan
39.0ms369×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410348
550018

prune7.0ms

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

rewrite42.0ms

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)))
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series103.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
4.0ms
(/ 1.0 (sqrt k))
2.0ms
(* (* 2.0 PI) n)
22.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify96.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09501461
139241358
250021344

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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×div-sub add-log-exp
2×pow-to-exp unpow-prod-down associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 192
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))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series40.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (* 2.0 PI) n)
2.0ms
(* (* 2.0 PI) n)
17.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
18.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06961678
127671618
250011608

prune2.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
151×add-sqr-sqrt *-un-lft-identity
122×pow-unpow
115×add-cube-cbrt
18×add-exp-log distribute-lft-out-- difference-of-squares
16×pow1
12×sqrt-prod
11×add-cbrt-cube
9×div-inv
6×pow-prod-down prod-exp associate-/r*
4×unpow-prod-down pow-pow div-sub pow-exp add-log-exp
3×associate-*r* cbrt-unprod associate-/l*
2×pow-to-exp pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative
Counts
4 → 211
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
6.0ms
(* (* 2.0 PI) n)
10.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
2.0ms
(* (* 2.0 PI) n)
12.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
18.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify95.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
011051637
144881575
250021568

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
0.3b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.3b
(pow (/ 1 n) (* -0.25 (- 1.0 k)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
129×times-frac
92×add-sqr-sqrt *-un-lft-identity
74×add-cube-cbrt
62×pow-unpow
22×add-exp-log
17×pow1
14×unpow-prod-down
12×sqrt-prod
11×add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
7×pow-exp
6×pow-pow pow-prod-down prod-exp associate-/r* div-inv
4×unpow-prod-up add-log-exp
3×div-exp associate-*r* cbrt-unprod associate-/l*
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in div-sub sqr-pow
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp associate-*l* clear-num *-commutative inv-pow pow-sub
Counts
4 → 169
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
16.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
5.0ms
(pow (/ 1 n) (* -0.25 (- 1.0 k)))

series36.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
2.0ms
(* (* 2.0 PI) n)
18.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
12.0ms
(pow (/ 1 n) (* -0.25 (- 1.0 k)))

simplify96.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
010931366
146071292
250021287

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes390.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03120
13120

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.8s20643×body80nan
1.4s11873×body80valid
1.0ms3×body160nan