Details

Time bar (total: 9.8s)

sample150.0ms

Algorithm
intervals
Results
75.0ms689×body80nan
49.0ms372×body80valid

simplify37.0ms

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

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)))
0.3b
(/ 1.0 (sqrt k))
0.3b
(* (* 2.0 PI) n)
1.4b
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

rewrite45.0ms

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)))
5.0ms
(/ 1.0 (sqrt k))
7.0ms
(* (* 2.0 PI) n)
9.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

series512.0ms

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))
37.0ms
(/ 1.0 (sqrt k))
33.0ms
(* (* 2.0 PI) n)
134.0ms
(pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))

simplify101.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
09811502
140211398
250031383

prune448.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2.0 PI) n)
0.3b
(* (* 2.0 PI) n)
1.3b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
1.3b
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

rewrite51.0ms

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)
7.0ms
(* (* 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))

series342.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 2.0 PI) n)
31.0ms
(* (* 2.0 PI) n)
136.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))
141.0ms
(pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2))

simplify74.0ms

Algorithm
egg-herbie
Counts
212 → 212
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
07031718
127971652
250011636

prune691.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt n)
0.6b
(cbrt n)
0.6b
(cbrt n)
1.4b
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log
22×add-sqr-sqrt *-un-lft-identity
19×pow-unpow
16×add-cube-cbrt
15×times-frac
13×pow-prod-down prod-exp
9×cbrt-prod
6×pow-pow pow-exp
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3 distribute-lft-out-- difference-of-squares
1×pow-to-exp unpow-prod-down div-sub div-inv pow-sub sqr-pow
Counts
4 → 83
Calls
4 calls:
0.0ms
(cbrt n)
0.0ms
(cbrt n)
1.0ms
(cbrt n)
54.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

series690.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt n)
174.0ms
(cbrt n)
172.0ms
(cbrt n)
164.0ms
(pow (* (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (cbrt n)) (/ (- 1.0 k) 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0414701
11362661
25001599

prune368.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (* (* 2.0 PI) n))
0.5b
(cbrt (* (* 2.0 PI) n))
0.6b
(* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
1.4b
(pow (* (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
25×add-sqr-sqrt
23×*-un-lft-identity
19×pow-unpow
17×add-cube-cbrt pow1/3
15×pow-pow times-frac
12×add-exp-log
11×pow-prod-up
7×pow-plus pow-prod-down
6×cbrt-prod
5×pow-sqr
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow2 pow-exp distribute-lft-out-- difference-of-squares
1×pow-to-exp unpow-prod-down div-sub pow3 *-commutative cbrt-unprod div-inv pow-sub unswap-sqr sqr-pow
Counts
4 → 105
Calls
4 calls:
5.0ms
(cbrt (* (* 2.0 PI) n))
5.0ms
(cbrt (* (* 2.0 PI) n))
8.0ms
(* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
24.0ms
(pow (* (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))

series1.0s

Counts
4 → 12
Calls
4 calls:
239.0ms
(cbrt (* (* 2.0 PI) n))
246.0ms
(cbrt (* (* 2.0 PI) n))
341.0ms
(* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n)))
197.0ms
(pow (* (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n))) (/ (- 1.0 k) 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
05291113
12032892
25003861

prune338.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes157.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02016
12016

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.3s21052×body80nan
1.6s11941×body80valid
1.0ms3×body160nan