Details

Time bar (total: 5.8s)

sample82.0ms

Algorithm
intervals
Results
28.0ms279×body80valid
15.0ms30×body1280valid
12.0ms34×body640valid
6.0ms23×body320valid
1.0ms8×body160valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1688
22438
312668
450018

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.3b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
6.2b
(* (* x (pow s 2.0)) x)
8.3b
(* x (pow s 2.0))
19.7b
(* (pow c 2.0) (* (* x (pow s 2.0)) x))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log
82×prod-exp
34×add-cbrt-cube
18×pow-to-exp pow-exp
17×add-sqr-sqrt
16×div-exp cbrt-unprod
12×add-cube-cbrt *-un-lft-identity
11×associate-*r* associate-*l*
7×unpow-prod-down
6×pow1
4×cbrt-undiv add-log-exp
3×times-frac *-commutative associate-/l* unswap-sqr sqr-pow
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 115
Calls
4 calls:
11.0ms
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
6.0ms
(* (* x (pow s 2.0)) x)
5.0ms
(* x (pow s 2.0))
9.0ms
(* (pow c 2.0) (* (* x (pow s 2.0)) x))

series230.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* x (pow s 2.0)) x)))
32.0ms
(* (* x (pow s 2.0)) x)
33.0ms
(* x (pow s 2.0))
86.0ms
(* (pow c 2.0) (* (* x (pow s 2.0)) x))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
05711041
12506875
25001871

prune256.0ms

Filtered
127 candidates to 70 candidates (44.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New11512127
Fresh000
Picked101
Done000
Total11612128

Merged error: 14.5b

Counts
128 → 12

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
0.3b
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
6.2b
(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
19.7b
(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
416×add-exp-log
343×prod-exp
84×pow-to-exp pow-exp
52×add-cbrt-cube
43×div-exp
29×cbrt-unprod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
9×associate-*l*
6×pow1 unpow-prod-down
5×cbrt-undiv
4×add-log-exp
3×times-frac *-commutative associate-/l*
2×sqr-pow
1×frac-2neg pow-prod-down clear-num associate-/r* div-inv
Counts
4 → 186
Calls
4 calls:
7.0ms
(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
15.0ms
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
9.0ms
(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
14.0ms
(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

series222.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2)))
77.0ms
(/ (cos (* 2.0 x)) (* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)))
32.0ms
(* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x)
82.0ms
(* (pow c 2.0) (* (* (* x (pow s (/ 2.0 2))) (pow s (/ 2.0 2))) x))

simplify98.0ms

Algorithm
egg-herbie
Counts
198 → 198
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07212340
132341837
250011781

prune242.0ms

Filtered
198 candidates to 68 candidates (65.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1935198
Fresh7411
Picked011
Done000
Total20010210

Merged error: 2.5b

Counts
210 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
0.3b
(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
5.5b
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
5.5b
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
63×add-exp-log
44×prod-exp
21×add-cbrt-cube
17×associate-*l*
16×add-sqr-sqrt
14×pow-to-exp add-cube-cbrt *-un-lft-identity pow-exp
11×pow1
8×cbrt-unprod
6×unpow-prod-down
5×associate-*r*
4×add-log-exp
3×times-frac swap-sqr *-commutative associate-/l*
2×cbrt-undiv div-exp sqr-pow
1×pow2 frac-2neg pow-plus pow-prod-down clear-num associate-/r* pow-sqr pow-prod-up div-inv unswap-sqr
Counts
4 → 106
Calls
4 calls:
5.0ms
(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
3.0ms
(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
7.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
7.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(/ (cos (* 2.0 x)) (* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))))
17.0ms
(* (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
66.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
69.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

simplify51.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04021518
114821245
250021172

prune376.0ms

Filtered
118 candidates to 69 candidates (41.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New10711118
Fresh448
Picked011
Done101
Total11216128

Merged error: 0.1b

Counts
128 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
0.5b
(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
5.5b
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
5.5b
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
63×add-exp-log
58×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
42×prod-exp
21×add-cbrt-cube
16×associate-/l*
14×pow-to-exp associate-*l* pow-exp
6×unpow-prod-down associate-/r* cbrt-unprod div-inv
4×pow1 cbrt-undiv div-exp add-log-exp
2×frac-2neg associate-*r* clear-num *-commutative sqr-pow
1×associate-/l/
Counts
4 → 157
Calls
4 calls:
6.0ms
(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
4.0ms
(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
7.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
7.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

series206.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2)))))) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
27.0ms
(/ (cos (* 2.0 x)) (fabs (* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))))
67.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))
69.0ms
(* (pow c (/ 2.0 2)) (* x (pow s (/ 2.0 2))))

simplify74.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05953343
120823048
250012963

prune578.0ms

Filtered
169 candidates to 109 candidates (35.5%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1654169
Fresh5914
Picked101
Done011
Total17114185

Merged error: 0.1b

Counts
185 → 14

regimes578.0ms

Accuracy

11.7% (2.4b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.9b

bsearch120.0ms

Steps
ItersRangePoint
8
-2.5881224196426105e-274
-2.6398541695468502e-278
-2.4242215631649508e-275
8
-1.1614357912247736e+219
-3.664270626163502e+216
-2.849982397429047e+218

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04246
14246

end0.0ms

sample2.2s

Algorithm
intervals
Results
800.0ms9124×body80valid
395.0ms830×body1280valid
337.0ms991×body640valid
138.0ms562×body320valid
53.0ms316×body160valid

Profiling

Loading profile data...