Details

Time bar (total: 42.8s)

sample252.0ms

Algorithm
intervals
Results
118.0ms67×body1280valid
47.0ms51×body640valid
34.0ms182×body80valid
15.0ms24×body320valid
6.0ms16×body160valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
14825
215825
387325
done500025

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize68.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.3b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.1b
(/ (pow t 3.0) (* l l))

rewrite726.0ms

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:
36.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
88.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
575.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
20.0ms
(/ (pow t 3.0) (* l l))

series2.1s

Counts
4 → 12
Calls
4 calls:
375.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
499.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
922.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
296.0ms
(/ (pow t 3.0) (* l l))

simplify511.0ms

Counts
156 → 156
Iterations

Useful iterations: done (503.0ms)

IterNodesCost
02543209
18223073
done50012609

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 17.7b

localize99.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.4b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.3b
(* (* (* (/ (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))

rewrite1.1s

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:
228.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
26.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
809.0ms
(* (* (* (/ (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))

series2.7s

Counts
4 → 12
Calls
4 calls:
907.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
321.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
246.0ms
(/ (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))

simplify642.0ms

Counts
241 → 241
Iterations

Useful iterations: done (622.0ms)

IterNodesCost
04326958
113686586
done50005725

prune2.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.5b

localize46.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.3b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.0s

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
734×prod-exp
255×div-exp
151×add-cbrt-cube
145×pow-to-exp pow-exp
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
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 → 366
Calls
4 calls:
110.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
371.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
24.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.4s
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.4s

Counts
4 → 12
Calls
4 calls:
468.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
542.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
352.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.0s
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify706.0ms

Counts
378 → 378
Iterations

Useful iterations: done (685.0ms)

IterNodesCost
043412754
1150310639
done50009230

prune2.2s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 8.3b

localize40.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
3.7b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.3b
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
1011×add-exp-log
710×prod-exp
246×div-exp
145×pow-to-exp pow-exp
124×add-cbrt-cube
78×cbrt-unprod
47×associate-*l/
46×associate-*l*
43×add-sqr-sqrt
42×associate-*r/
35×frac-times *-un-lft-identity
34×times-frac
30×add-cube-cbrt
26×unpow-prod-down
16×cbrt-undiv tan-quot
13×cbrt-prod pow1
12×associate-*r*
8×flip3-+ flip-+
5×pow-prod-down unswap-sqr sqr-pow
4×*-commutative add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 357
Calls
4 calls:
154.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
511.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
24.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.2s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (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:
471.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
498.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
377.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify739.0ms

Counts
369 → 369
Iterations

Useful iterations: done (713.0ms)

IterNodesCost
044012112
1149510900
done50009335

prune1.9s

Pruning

28 alts after pruning (28 fresh and 0 done)

Merged error: 7.1b

regimes1.5s

Accuracy

18% (7.8b remaining)

Error of 15.8b against oracle of 8.0b and baseline of 17.5b

bsearch1.7s

Steps
ItersRangePoint
6
2.86693241313981e+144
4.0371856501544666e+145
3.4417764551753214e+144
9
3.856101644728124e-108
2.1261502467242897e-101
1.0756150083791892e-101
7
-1.5767345696968515e-232
-5.079331394345512e-234
-5.760296031059403e-234
8
-3.377650807335256e-16
-8.870655314211913e-19
-3.4658746301197293e-18
5
-6.096696810270342e+164
-1.5302910996514267e+164
-1.5661868334908373e+164

simplify17.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
074250
197250
done97250

end0.0ms

sample11.5s

Algorithm
intervals
Results
5.0s2066×body1280valid
3.0s1762×body640valid
1.8s5980×body80valid
745.0ms758×body320valid
222.0ms437×body160valid