Details

Time bar (total: 8.7s)

sample117.0ms

Algorithm
intervals
Results
53.0ms667×body80nan
38.0ms395×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0298
1598
21198
33258
410448
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

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
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.8b
(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×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:
17.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
7.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series519.0ms

Counts
4 → 12
Calls
4 calls:
309.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
35.0ms
(* (* 2.0 PI) n)
36.0ms
(/ 1.0 (sqrt k))
138.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
09811502
140211398
250031383

prune450.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.3b
(/ 1.0 (sqrt k))
0.8b
(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×expm1-log1p-u log1p-expm1-u 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 → 140
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series246.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 PI) n)
36.0ms
(/ 1.0 (sqrt k))
42.0ms
(/ 1.0 (sqrt k))
137.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0579912
12248843
25001807

prune454.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))
0.6b
(cbrt k)
0.6b
(cbrt k)
0.8b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
145×add-sqr-sqrt
119×times-frac
100×sqrt-prod
71×*-un-lft-identity
65×add-cube-cbrt
58×associate-*r*
30×cbrt-prod
22×add-exp-log associate-*l*
21×unswap-sqr
19×pow-unpow
16×add-cbrt-cube
12×pow1
7×prod-exp
4×cbrt-undiv expm1-log1p-u div-exp pow-prod-down cbrt-unprod log1p-expm1-u add-log-exp
3×pow-pow pow-exp div-inv distribute-lft-out-- difference-of-squares
2×pow1/3
1×frac-times pow-to-exp unpow-prod-down div-sub associate-*r/ associate-*l/ *-commutative pow-sub sqr-pow
Counts
4 → 187
Calls
4 calls:
45.0ms
(* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))
0.0ms
(cbrt k)
1.0ms
(cbrt k)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series786.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))))
170.0ms
(cbrt k)
171.0ms
(cbrt k)
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
09372058
143321935
250011923

prune867.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
0.8b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
0.8b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
150×add-sqr-sqrt *-un-lft-identity
122×pow-unpow
114×add-cube-cbrt
23×add-exp-log
21×pow1
18×distribute-lft-out-- difference-of-squares
12×sqrt-prod
11×add-cbrt-cube
9×pow-prod-down prod-exp div-inv
6×pow-pow pow-exp associate-/r*
4×expm1-log1p-u div-sub log1p-expm1-u add-log-exp
3×associate-*r* cbrt-unprod associate-/l*
2×pow-to-exp unpow-prod-down pow-sub sqr-pow
1×cbrt-undiv frac-2neg div-exp associate-*l* clear-num *-commutative
Counts
4 → 221
Calls
4 calls:
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
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))

series349.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* 2.0 PI) n)
37.0ms
(/ 1.0 (sqrt k))
140.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
142.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify96.0ms

Algorithm
egg-herbie
Counts
233 → 233
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08741888
134321810
250011792

prune737.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes90.0ms

Accuracy

0% (0.5b 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
02820
12820

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s20513×body80nan
1.2s11860×body80valid
0.0ms1×body160nan