Details

Time bar (total: 1.2m)

sample259.0ms

Algorithm
intervals
Results
132.0ms77×body1280valid
49.0ms55×body640valid
34.0ms186×body80valid
13.0ms22×body320valid
5.0ms13×body160valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
019941
148941
2153941
3735941
44037941
done5032941

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize54.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
3.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
12.0b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
18.9b
(/ (pow t 3.0) (* l l))

rewrite702.0ms

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×pow-to-exp cbrt-undiv pow-exp tan-quot
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 clear-num associate-/r* frac-2neg distribute-lft-in
Counts
4 → 144
Calls
4 calls:
72.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
31.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
575.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.0ms
(/ (pow t 3.0) (* l l))

series2.1s

Counts
4 → 12
Calls
4 calls:
505.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
382.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
988.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
257.0ms
(/ (pow t 3.0) (* l l))

simplify3.9s

Counts
156 → 156
Iterations

Useful iterations: done (3.9s)

IterNodesCost
0254107013
180497814
2358396130
done500794040

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 13.8b

localize98.0ms

Local error

Found 4 expressions with local error:

2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
10.1b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.0b
(* (* (* (/ (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))

rewrite1.2s

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 clear-num frac-2neg distribute-lft-in
Counts
4 → 229
Calls
4 calls:
31.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
233.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
14.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
920.0ms
(* (* (* (/ (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))

series2.5s

Counts
4 → 12
Calls
4 calls:
421.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
533.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
311.0ms
(/ (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))

simplify3.4s

Counts
241 → 241
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0432237087
11315222255
done5002220681

prune2.2s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.9b

localize151.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
12.0b
(* (* (* (* (/ (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
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×*-un-lft-identity tan-quot
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:
180.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
33.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
732.0ms
(* (* (* (/ (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))
3.1s
(* (* (* (* (/ (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))

series2.6s

Counts
4 → 12
Calls
4 calls:
451.0ms
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
391.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
589.0ms
(* (* (* (/ (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))
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))

simplify8.0s

Counts
696 → 696
Iterations

Useful iterations: done (7.8s)

IterNodesCost
0680863815
12282701077
done5001678305

prune3.2s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 8.1b

localize148.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.4b
(* (* (/ (pow (cbrt t) 3.0) (* (cbrt l) (cbrt l))) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
12.0b
(* (* (* (/ (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))

rewrite3.8s

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:
5.0ms
(pow (cbrt t) 3.0)
52.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
704.0ms
(* (* (/ (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))
2.9s
(* (* (* (/ (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))

series2.5s

Counts
4 → 12
Calls
4 calls:
464.0ms
(pow (cbrt t) 3.0)
345.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
567.0ms
(* (* (/ (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))
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))

simplify9.0s

Counts
532 → 532
Iterations

Useful iterations: done (8.8s)

IterNodesCost
0694684299
12379561259
done5002545575

prune2.8s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 6.8b

regimes1.3s

Accuracy

14.8% (7.4b remaining)

Error of 14.6b against oracle of 7.2b and baseline of 15.8b

bsearch1.6s

Steps
ItersRangePoint
9
3.7006020166960794e+27
2.4295812357025265e+35
3.0860378662138875e+32
7
3.6650102346346103e-280
1.873089667983413e-278
3.7137732458326305e-280
10
-1.0173754406267928e-111
-8.677043596011299e-124
-1.2200170425626609e-116
11
-7.048961463891651e+103
-1.8681806345664648e+83
-8.225955376089109e+83

simplify34.0ms

Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
0612805
1792805
done792805

end0.0ms

sample10.6s

Algorithm
intervals
Results
4.4s2013×body1280valid
3.0s1770×body640valid
1.8s5897×body80valid
710.0ms836×body320valid
228.0ms467×body160valid