Details

Time bar (total: 8.6s)

sample138.0ms

Algorithm
intervals
Results
68.0ms757×body80nan
42.0ms411×body80valid

simplify40.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b
(* (* 2.0 PI) n)
0.3b
(/ 1.0 (sqrt k))
1.1b
(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×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:
17.0ms
(* (/ 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))
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series533.0ms

Counts
4 → 12
Calls
4 calls:
317.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
35.0ms
(* (* 2.0 PI) n)
38.0ms
(/ 1.0 (sqrt k))
142.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify106.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09501461
139241358
250021344

prune408.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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))
31.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
12.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series315.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ 1.0 (sqrt k))
40.0ms
(/ 1.0 (sqrt k))
96.0ms
(* (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))))
141.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify100.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
07471810
134121649
250021634

prune640.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (/ (* 1.0 1.0) k) 1/2)
0.3b
(* (pow (/ (* 1.0 1.0) k) 1/2) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
0.3b
(* (* 2.0 PI) n)
1.1b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
91×add-exp-log
52×prod-exp
37×add-sqr-sqrt
36×pow-exp
27×*-un-lft-identity
23×times-frac
22×pow-unpow
21×add-cube-cbrt
20×unpow-prod-down
16×pow1
12×pow-to-exp div-exp associate-*l*
11×add-cbrt-cube
10×sqr-pow
8×associate-*r* unswap-sqr
6×pow-prod-down
4×pow-pow cbrt-unprod add-log-exp
3×div-inv distribute-lft-out-- difference-of-squares
2×div-sub *-commutative pow-sub
1×associate-*r/ unpow1/2
Counts
4 → 137
Calls
4 calls:
4.0ms
(pow (/ (* 1.0 1.0) k) 1/2)
17.0ms
(* (pow (/ (* 1.0 1.0) k) 1/2) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
6.0ms
(* (* 2.0 PI) n)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series683.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(pow (/ (* 1.0 1.0) k) 1/2)
308.0ms
(* (pow (/ (* 1.0 1.0) k) 1/2) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
34.0ms
(* (* 2.0 PI) n)
136.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify102.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09121431
137241348
250011340

prune364.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) n)
0.3b
(* (* 2.0 PI) n)
1.1b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
1.1b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite48.0ms

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×div-sub add-log-exp
2×pow-to-exp unpow-prod-down associate-*l* *-commutative pow-sub sqr-pow
Counts
4 → 192
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))

series354.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (* 2.0 PI) n)
31.0ms
(* (* 2.0 PI) n)
146.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
145.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify83.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06961678
127671618
250011608

prune698.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.4b 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
02217
12217

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.8s21059×body80nan
1.2s11811×body80valid
0.0ms2×body160nan