Details

Time bar (total: 7.5s)

sample80.0ms

Algorithm
intervals
Results
32.0ms635×body80nan
24.0ms386×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

localize17.0ms

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))

rewrite41.0ms

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

series538.0ms

Counts
4 → 12
Calls
4 calls:
320.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
43.0ms
(/ 1.0 (sqrt k))
31.0ms
(* (* 2.0 PI) n)
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
09501461
139241358
250021344

prune436.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 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))

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))
16.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series349.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) n)
37.0ms
(* (* 2.0 PI) n)
137.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
144.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06961678
127671618
250011608

prune682.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite26.0ms

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))

series256.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 1.0 (sqrt k))
44.0ms
(/ 1.0 (sqrt k))
31.0ms
(* (* 2.0 PI) n)
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

prune451.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 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))

rewrite48.0ms

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×pow-to-exp pow-sub add-log-exp
2×cube-div cube-mult unpow3
1×cbrt-div pow1/3 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 214
Calls
4 calls:
3.0ms
(cbrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))
3.0ms
(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))
17.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series794.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(cbrt (pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3))
242.0ms
(pow (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) 3)
135.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
277.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify90.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
08302290
134542247
250022223

prune803.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes153.0ms

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
733.0ms11867×body80valid
1.0ms9×body160nan