Details

Time bar (total: 7.3s)

sample79.0ms

Algorithm
intervals
Results
28.0ms584×body80nan
23.0ms354×body80valid

simplify39.0ms

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

rewrite90.0ms

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:
39.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(/ 1.0 (sqrt k))
17.0ms
(* (* 2.0 PI) n)
22.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series533.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
38.0ms
(/ 1.0 (sqrt k))
38.0ms
(* (* 2.0 PI) n)
137.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify105.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09501461
139241358
250021344

prune401.0ms

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
(* (* 2.0 PI) n)
0.3b
(* (* 2.0 PI) n)
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
38×pow-unpow
36×add-sqr-sqrt *-un-lft-identity
30×times-frac
26×pow1 add-exp-log
24×add-cube-cbrt
14×add-cbrt-cube
12×pow-prod-down prod-exp
6×pow-pow associate-*r* pow-exp cbrt-unprod distribute-lft-out-- difference-of-squares
4×add-log-exp
2×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative div-inv pow-sub sqr-pow
Counts
4 → 108
Calls
4 calls:
16.0ms
(* (* 2.0 PI) n)
16.0ms
(* (* 2.0 PI) n)
23.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series352.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 2.0 PI) n)
38.0ms
(* (* 2.0 PI) n)
137.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
143.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0399798
11625738
25001694

prune371.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt n)
0.6b
(cbrt n)
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
0.7b
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
38×pow-unpow
36×add-sqr-sqrt *-un-lft-identity
30×times-frac
29×pow1 add-exp-log
24×add-cube-cbrt
16×pow-prod-down prod-exp
9×pow-pow pow-exp
6×cbrt-prod distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
2×pow-to-exp unpow-prod-down pow1/3 div-sub div-inv pow-sub sqr-pow
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt n)
1.0ms
(cbrt n)
20.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
102.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

series680.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt n)
182.0ms
(cbrt n)
139.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
170.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0501956
11597898
25001687

prune422.0ms

Pruning

7 alts after pruning (5 fresh and 2 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)))
0.7b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite106.0ms

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:
7.0ms
(/ 1.0 (sqrt (sqrt k)))
16.0ms
(* (* 2.0 PI) n)
28.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
21.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series386.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(/ 1.0 (sqrt (sqrt k)))
33.0ms
(* (* 2.0 PI) n)
43.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
141.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify76.0ms

Algorithm
egg-herbie
Counts
451 → 451
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013345795
150015011

prune717.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes112.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01816
11816

end0.0ms

sample2.5s

Algorithm
intervals
Results
1000.0ms20240×body80nan
705.0ms11774×body80valid
0.0ms4×body160nan