Details

Time bar (total: 58.3s)

sample186.0ms

Algorithm
intervals
Results
73.0ms70×body1280valid
40.0ms52×body640valid
30.0ms182×body80valid
13.0ms27×body320valid
6.0ms16×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
14825
215725
384225
4465725
done500125

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize44.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.9b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.0b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.7b
(/ (pow t 3.0) (* l l))

rewrite1.0s

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:
115.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
69.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
826.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
24.0ms
(/ (pow t 3.0) (* l l))

series2.0s

Counts
4 → 12
Calls
4 calls:
515.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
331.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
896.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
261.0ms
(/ (pow t 3.0) (* l l))

simplify2.2s

Counts
156 → 156
Iterations

Useful iterations: 2 (707.0ms)

IterNodesCost
02553209
17543070
234902565
done50002565

prune786.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
2.9b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
8.9b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.0b
(* (* (* (* (/ (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))

rewrite1.9s

Algorithm
rewrite-expression-head
Rules
346×add-exp-log
203×prod-exp
97×div-exp
82×add-cbrt-cube
55×associate-*l/
46×cbrt-unprod
41×pow-exp
35×frac-times
32×pow1
28×pow-to-exp
22×*-un-lft-identity
19×pow-prod-down
17×add-sqr-sqrt add-cube-cbrt
16×tan-quot
15×times-frac associate-*r/
13×cbrt-undiv
11×associate-*r*
8×flip3-+ flip-+
5×associate-/l*
4×unpow-prod-down add-log-exp sqr-pow
3×associate-*l* associate-/r* *-commutative distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv
Counts
4 → 204
Calls
4 calls:
352.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
113.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
16.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.4s
(* (* (* (* (/ (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))

series2.2s

Counts
4 → 12
Calls
4 calls:
524.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
430.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
256.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.0s
(* (* (* (* (/ (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))

simplify3.3s

Counts
216 → 216
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
03676973
110866540
248895530
done50015530

prune1.0s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.4b

localize61.0ms

Local error

Found 4 expressions with local error:

0.8b
(pow (cbrt t) 3.0)
1.8b
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
2.9b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
13.0b
(* (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite13.9s

Algorithm
rewrite-expression-head
Rules
4197×add-exp-log
2674×prod-exp
1326×div-exp
595×pow-exp
367×pow-to-exp
257×add-cbrt-cube
184×cbrt-unprod
151×associate-*l/
103×frac-times
63×cbrt-undiv
48×pow1
33×associate-*r/
32×tan-quot
31×pow-prod-down
16×flip3-+ flip-+
15×*-un-lft-identity
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt
6×unpow-prod-down
4×add-log-exp
3×cbrt-prod pow-unpow associate-*l* *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 sqr-pow
Counts
4 → 748
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
2.5s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
698.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
10.5s
(* (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.0s

Counts
4 → 12
Calls
4 calls:
430.0ms
(pow (cbrt t) 3.0)
537.0ms
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
473.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.6s
(* (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.3s

Counts
760 → 760
Iterations

Useful iterations: done (1.3s)

IterNodesCost
081741776
1215331237
done500028271

prune1.8s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.6b

localize59.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 2.0 (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))))
0.8b
(pow (cbrt t) 3.0)
2.9b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
14.2b
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

rewrite7.1s

Algorithm
rewrite-expression-head
Rules
7549×add-exp-log
4641×prod-exp
2583×div-exp
991×pow-exp
611×pow-to-exp
473×add-cbrt-cube
321×cbrt-unprod
186×associate-*l/
167×frac-times
138×cbrt-undiv
81×associate-*r/
48×tan-quot
47×associate-/r/
46×pow1
32×flip3-+ flip-+
30×pow-prod-down
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
4×distribute-rgt-in distribute-lft-in associate-*r* add-log-exp
3×cbrt-prod pow-unpow times-frac associate-/l*
2×pow-pow associate-*l* *-commutative
1×frac-2neg pow1/3 clear-num associate-/r* div-inv sqr-pow
Counts
4 → 1186
Calls
4 calls:
3.1s
(/ 2.0 (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))))
7.0ms
(pow (cbrt t) 3.0)
629.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
3.0s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

series3.0s

Counts
4 → 12
Calls
4 calls:
976.0ms
(/ 2.0 (* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))))
456.0ms
(pow (cbrt t) 3.0)
444.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.1s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (* (cbrt l) (cbrt l))) (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (cbrt l))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (* (tan k) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

simplify1.4s

Counts
1198 → 1198
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0109474737
1256057088
done500151457

prune2.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 7.9b

regimes845.0ms

Accuracy

23.3% (7.4b remaining)

Error of 17.9b against oracle of 10.4b and baseline of 20.1b

bsearch727.0ms

Steps
ItersRangePoint
11
4.214096010998703e+117
9.68880584692305e+138
2.5473044447906667e+119
7
4.886277919964174e-120
1.5818187033891164e-118
1.1471508441709014e-119
5
-5.348599959160758e-125
-1.7996127199424652e-125
-3.671469527357901e-125
6
-8.536700194758283e+74
-6.293335443133169e+73
-1.361561607826164e+74

simplify67.0ms

Iterations

Useful iterations: 4 (25.0ms)

IterNodesCost
064268
183215
286171
392118
495117
598117
699117
7100117
done100117

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.2s2098×body1280valid
1.2s1752×body640valid
816.0ms5895×body80valid
376.0ms820×body320valid
135.0ms424×body160valid