Details

Time bar (total: 7.6s)

sample78.0ms

Algorithm
intervals
Results
29.0ms584×body80nan
21.0ms354×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune2.0ms

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

rewrite93.0ms

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:
42.0ms
(* (/ 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)
21.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series550.0ms

Counts
4 → 12
Calls
4 calls:
333.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
38.0ms
(/ 1.0 (sqrt k))
33.0ms
(* (* 2.0 PI) n)
146.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify104.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09811502
140211398
250031383

prune454.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite89.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
2×pow-to-exp unpow-prod-down div-sub associate-*l* *-commutative div-inv pow-sub sqr-pow
Counts
4 → 116
Calls
4 calls:
20.0ms
(* (* 2.0 PI) n)
18.0ms
(* (* 2.0 PI) n)
22.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
25.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series359.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* 2.0 PI) n)
34.0ms
(* (* 2.0 PI) n)
148.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
144.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0407832
11658770
25001732

prune415.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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))

rewrite136.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-to-exp unpow-prod-down pow1/3 div-sub div-inv pow-sub sqr-pow
Counts
4 → 108
Calls
4 calls:
1.0ms
(cbrt n)
1.0ms
(cbrt n)
23.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
107.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

series688.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt n)
184.0ms
(cbrt n)
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))
172.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0511996
11634936
25001729

prune471.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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))

rewrite103.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 447
Calls
4 calls:
8.0ms
(/ 1.0 (sqrt (sqrt k)))
20.0ms
(* (* 2.0 PI) n)
26.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
21.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series401.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ 1.0 (sqrt (sqrt k)))
40.0ms
(* (* 2.0 PI) n)
38.0ms
(/ (/ 1.0 (sqrt (sqrt k))) (sqrt (sqrt k)))
150.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
459 → 459
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013555833
150015050

prune765.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes103.0ms

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
1.0s20240×body80nan
720.0ms11774×body80valid
0.0ms4×body160nan