Details

Time bar (total: 7.8s)

sample78.0ms

Algorithm
intervals
Results
33.0ms621×body80nan
21.0ms344×body80valid

simplify36.0ms

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)))
0.2b
(* (* 2.0 PI) n)
0.2b
(/ 1.0 (sqrt k))
1.1b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite49.0ms

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:
22.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series531.0ms

Counts
4 → 12
Calls
4 calls:
319.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
31.0ms
(* (* 2.0 PI) n)
41.0ms
(/ 1.0 (sqrt k))
138.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify97.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
09501461
139241358
250021344

prune449.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2.0 PI) n)
0.2b
(/ 1.0 (sqrt k))
0.2b
(/ 1.0 (sqrt k))
1.1b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite27.0ms

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:
7.0ms
(* (* 2.0 PI) n)
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series250.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 2.0 PI) n)
40.0ms
(/ 1.0 (sqrt k))
38.0ms
(/ 1.0 (sqrt k))
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify64.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0563883
12197815
25001791

prune465.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))
0.6b
(cbrt k)
0.6b
(cbrt k)
1.1b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
222×times-frac
133×add-sqr-sqrt *-un-lft-identity
127×add-cube-cbrt
84×sqrt-prod
48×cbrt-prod
19×pow-unpow
15×add-exp-log
13×associate-/l*
12×div-inv
10×pow1
9×associate-/r* add-cbrt-cube
4×add-log-exp
3×cbrt-undiv pow-pow div-exp pow-prod-down pow-exp prod-exp distribute-lft-out-- difference-of-squares
2×pow1/3
1×pow-to-exp unpow-prod-down frac-2neg div-sub clear-num associate-/l/ pow-sub sqr-pow
Counts
4 → 212
Calls
4 calls:
9.0ms
(/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))
0.0ms
(cbrt k)
0.0ms
(cbrt k)
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series763.0ms

Counts
4 → 12
Calls
4 calls:
271.0ms
(/ (/ 1.0 (fabs (cbrt k))) (sqrt (cbrt k)))
174.0ms
(cbrt k)
173.0ms
(cbrt k)
145.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify84.0ms

Algorithm
egg-herbie
Counts
224 → 224
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
09192656
134902553
250022501

prune972.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1.0 (sqrt k))
0.2b
(/ 1.0 (sqrt k))
0.5b
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
1.1b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
200×sqrt-prod
173×add-sqr-sqrt
151×times-frac
109×*-un-lft-identity
103×add-cube-cbrt
33×swap-sqr
25×pow1 associate-*r* associate-*l*
19×pow-unpow
16×add-exp-log unswap-sqr
12×associate-/r*
10×add-cbrt-cube
8×sqrt-pow1 pow1/2
7×div-inv
6×pow-prod-down associate-/l*
5×pow-prod-up
4×sqrt-div prod-exp add-log-exp
3×pow-pow pow-exp pow-sqr distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow2 frac-times pow-to-exp unpow-prod-down pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ rem-square-sqrt *-commutative cbrt-unprod pow-sub sqr-pow
Counts
4 → 241
Calls
4 calls:
3.0ms
(/ 1.0 (sqrt k))
3.0ms
(/ 1.0 (sqrt k))
34.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
10.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series322.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
45.0ms
(/ 1.0 (sqrt k))
99.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
140.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify103.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07471810
134151649
250021634

prune674.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes204.0ms

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
02210
12210

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.1s20976×body80nan
758.0ms11978×body80valid