Details

Time bar (total: 31.9s)

sample141.0ms

Algorithm
intervals
Results
57.0ms70×body1280valid
28.0ms52×body640valid
19.0ms182×body80valid
13.0ms27×body320valid
4.0ms16×body160valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
04813
116113
294413
3500212
done500212

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.7b

localize21.0ms

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))

rewrite598.0ms

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×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u 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 → 152
Calls
4 calls:
73.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
31.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
477.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
11.0ms
(/ (pow t 3.0) (* l l))

series1.4s

Counts
4 → 12
Calls
4 calls:
326.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
252.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
632.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
181.0ms
(/ (pow t 3.0) (* l l))

simplify115.0ms

Counts
164 → 164
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08171679
147261405
250011405
done50011405

prune525.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 13.9b

localize28.0ms

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))

rewrite1.1s

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×expm1-log1p-u unpow-prod-down log1p-expm1-u 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 → 212
Calls
4 calls:
178.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
52.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
9.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
883.0ms
(* (* (* (* (/ (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))

series1.6s

Counts
4 → 12
Calls
4 calls:
359.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
286.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
198.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
738.0ms
(* (* (* (* (/ (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))

simplify60.0ms

Counts
224 → 224
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011963855
150013336
done50013336

prune766.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.2b

localize40.0ms

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))

rewrite8.4s

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×expm1-log1p-u log1p-expm1-u 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 → 756
Calls
4 calls:
3.0ms
(pow (cbrt t) 3.0)
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))
408.0ms
(* (* (* (/ (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))
6.3s
(* (* (* (* (* (/ (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))

series1.9s

Counts
4 → 12
Calls
4 calls:
303.0ms
(pow (cbrt t) 3.0)
370.0ms
(* (* (* (* (/ (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))
305.0ms
(* (* (* (/ (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))
934.0ms
(* (* (* (* (* (/ (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)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify201.0ms

Counts
768 → 768
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0301622150
1500219198
done500219198

prune1.3s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 8.4b

localize40.0ms

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)))

rewrite4.2s

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 expm1-log1p-u distribute-lft-in associate-*r* log1p-expm1-u 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 → 1194
Calls
4 calls:
1.8s
(/ 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))))
3.0ms
(pow (cbrt t) 3.0)
404.0ms
(* (* (* (/ (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))
1.8s
(* (* (* (* (/ (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)))

series2.0s

Counts
4 → 12
Calls
4 calls:
672.0ms
(/ 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))))
302.0ms
(pow (cbrt t) 3.0)
301.0ms
(* (* (* (/ (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))
711.0ms
(* (* (* (* (/ (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) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

simplify331.0ms

Counts
1206 → 1206
Iterations

Useful iterations: 1 (48.0ms)

IterNodesCost
0419539474
1500135805
done500135805

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.8b

regimes692.0ms

Accuracy

22.8% (7.5b remaining)

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

bsearch569.0ms

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

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103157
1119157
2129157
3137157
4153157
5165157
6165157
done165157

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.8s2098×body1280valid
940.0ms1752×body640valid
654.0ms5895×body80valid
319.0ms820×body320valid
107.0ms424×body160valid