Details

Time bar (total: 18.3s)

sample101.0ms

Algorithm
intervals
Results
43.0ms513×body80nan
35.0ms369×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

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))

rewrite40.0ms

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:
16.0ms
(* (/ 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))

series99.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
3.0ms
(/ 1.0 (sqrt k))
2.0ms
(* (* 2.0 PI) n)
18.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09811502
140211398
250031383

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite50.0ms

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))
13.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

series39.0ms

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))
17.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify72.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07031718
127971652
250011636

prune2.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize21.0ms

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))

rewrite42.0ms

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×expm1-log1p-u unpow-prod-down pow-pow div-sub pow-exp log1p-expm1-u 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 → 219
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
6.0ms
(* (* 2.0 PI) n)
9.0ms
(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))

simplify98.0ms

Algorithm
egg-herbie
Counts
231 → 231
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
011231673
145461607
250021602

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
1080×times-frac
585×add-sqr-sqrt *-un-lft-identity
459×add-cube-cbrt
435×pow-unpow
63×distribute-lft-out-- difference-of-squares
30×div-inv
22×pow1 add-exp-log
9×pow-prod-down prod-exp add-cbrt-cube
8×div-sub
7×pow-pow pow-exp
5×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-to-exp associate-*r* cbrt-unprod pow-sub sqr-pow
1×associate-*l* *-commutative
Counts
4 → 510
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
8.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
25.0ms
(pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
28.0ms
(pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))

series56.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* (* 2.0 PI) n)
12.0ms
(pow n (/ (/ (- 1.0 k) 2.0) 2))
24.0ms
(pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))
18.0ms
(pow (* (* 2.0 PI) n) (/ (/ (/ (- 1.0 k) 2.0) 2) 2))

simplify77.0ms

Algorithm
egg-herbie
Counts
522 → 522
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
018575328
150025141

prune7.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes359.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02629
12629

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.8s20643×body80nan
1.1s11873×body80valid
1.0ms3×body160nan