Details

Time bar (total: 53.3s)

sample319.0ms

Algorithm
intervals
Results
123.0ms73×body1280valid
82.0ms191×body80valid
54.0ms51×body640valid
18.0ms21×body320valid
7.0ms13×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
14825
215725
384225
4465725
done500125

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.1b

localize46.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
4.1b
(* (/ (pow t 3.0) (* l l)) (sin k))
15.0b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.6b
(/ (pow t 3.0) (* l l))

rewrite991.0ms

Algorithm
rewrite-expression-head
Rules
108×add-exp-log
58×prod-exp
52×add-cbrt-cube
26×cbrt-unprod
24×div-exp
21×add-sqr-sqrt
20×pow1
19×*-un-lft-identity
17×times-frac
16×associate-*l/
14×add-cube-cbrt
13×associate-*l*
11×associate-*r*
10×frac-times unpow-prod-down pow-prod-down
8×tan-quot cbrt-undiv pow-to-exp pow-exp
7×associate-/l*
6×associate-*r/
4×flip3-+ flip-+ add-log-exp unswap-sqr sqr-pow
3×*-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 144
Calls
4 calls:
100.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
35.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
832.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
12.0ms
(/ (pow t 3.0) (* l l))

series2.2s

Counts
4 → 12
Calls
4 calls:
492.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
391.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
1.1s
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
275.0ms
(/ (pow t 3.0) (* l l))

simplify2.6s

Counts
156 → 156
Iterations

Useful iterations: 2 (857.0ms)

IterNodesCost
02553209
17543070
234902565
done50002565

prune731.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 16.6b

localize69.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.3b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
15.0b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
304×add-exp-log
184×prod-exp
78×add-cbrt-cube
77×div-exp
50×add-sqr-sqrt
49×times-frac
44×associate-*l/ cbrt-unprod
42×*-un-lft-identity
37×add-cube-cbrt
36×associate-*l*
34×frac-times
33×pow-exp
29×pow1
24×unpow-prod-down
22×pow-to-exp
17×pow-prod-down
16×tan-quot
14×associate-*r/
12×cbrt-undiv
11×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+ sqr-pow
5×associate-/l* unswap-sqr
4×add-log-exp
3×associate-/r* *-commutative distribute-lft-out
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
245.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
64.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
19.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.1s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
545.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
367.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
238.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.2s
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.0s

Counts
241 → 241
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04296958
112506583
done50005619

prune1.4s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.5b

localize56.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.0b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.0b
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite5.1s

Algorithm
rewrite-expression-head
Rules
2898×add-exp-log
1826×prod-exp
939×div-exp
340×add-cbrt-cube
313×pow-to-exp pow-exp
246×cbrt-unprod
125×associate-*l/
103×frac-times
85×cbrt-undiv
61×pow1
41×pow-prod-down
40×add-sqr-sqrt
37×associate-*l*
34×times-frac
33×associate-*r/
32×tan-quot *-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down
16×flip3-+ flip-+
12×associate-*r*
10×cbrt-prod
5×unswap-sqr
4×*-commutative add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 684
Calls
4 calls:
220.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
1.0s
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
49.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.7s
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.6s

Counts
4 → 12
Calls
4 calls:
437.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
657.0ms
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
378.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.3s

Counts
696 → 696
Iterations

Useful iterations: done (1.2s)

IterNodesCost
067930479
1208225406
done500022020

prune2.6s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 10.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.0b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
4.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.0b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite4.2s

Algorithm
rewrite-expression-head
Rules
2101×add-exp-log
1373×prod-exp
633×div-exp
249×add-cbrt-cube
212×pow-to-exp pow-exp
185×cbrt-unprod
100×associate-*l/
98×frac-times
59×cbrt-undiv
46×associate-*r/
43×add-sqr-sqrt
41×pow1
36×associate-*l*
35×*-un-lft-identity
34×times-frac
32×tan-quot
30×add-cube-cbrt
26×unpow-prod-down pow-prod-down
16×flip3-+ flip-+
13×cbrt-prod
11×associate-*r*
5×unswap-sqr sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 520
Calls
4 calls:
7.0ms
(pow (cbrt t) 3.0)
741.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
37.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4s
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.8s

Counts
4 → 12
Calls
4 calls:
461.0ms
(pow (cbrt t) 3.0)
861.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
360.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify992.0ms

Counts
532 → 532
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
069323416
1210520982
done500118331

prune1.8s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.5b

regimes1.2s

Accuracy

-16% (9.1b remaining)

Error of 16.9b against oracle of 7.9b and baseline of 15.7b

bsearch1.8s

Steps
ItersRangePoint
7
3.2279660373869493e+224
8.219556094561656e+225
7.3873453313318566e+224
7
3.477202398417392e+200
3.557865415266514e+202
3.50673347844676e+202
6
9.005556165067852e+138
4.6136906157351777e+139
2.402994973162251e+139
8
840.913528189967
913238.4379181686
496413.62095398596
10
-2.1818472066253833e-224
-2.2325171062080038e-237
-3.515615117987835e-226
8
-7.485834101697834e+70
-5.09199279650327e+67
-2.4654898731068644e+69
4
-2.5300323932420435e+146
-1.6396384075146655e+146
-1.932296528705669e+146

simplify35.0ms

Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0109469
1148467
done148467

end1.0ms

sample11.6s

Algorithm
intervals
Results
4.8s2111×body1280valid
3.3s1726×body640valid
1.6s5913×body80valid
822.0ms867×body320valid
316.0ms417×body160valid