Details

Time bar (total: 32.2s)

sample143.0ms

Algorithm
intervals
Results
56.0ms70×body1280valid
28.0ms52×body640valid
20.0ms182×body80valid
14.0ms27×body320valid
4.0ms16×body160valid

simplify28.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04813
115813
290313
3500113
done500113

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

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))

rewrite616.0ms

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:
74.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
31.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
492.0ms
(* (* (* (/ (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:
330.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
255.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
646.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
176.0ms
(/ (pow t 3.0) (* l l))

simplify118.0ms

Counts
156 → 156
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08011619
146461348
250021348
done50021348

prune508.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 14.0b

localize31.0ms

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))

rewrite1.2s

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:
182.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
54.0ms
(* (* (/ (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)
905.0ms
(* (* (* (* (/ (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:
367.0ms
(* (* (* (/ (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))
197.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
733.0ms
(* (* (* (* (/ (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))

simplify54.0ms

Counts
216 → 216
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
011793756
150013242
done50013242

prune744.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.4b

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))

rewrite8.6s

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)
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))
415.0ms
(* (* (* (/ (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))
6.5s
(* (* (* (* (* (/ (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))

series1.9s

Counts
4 → 12
Calls
4 calls:
296.0ms
(pow (cbrt t) 3.0)
381.0ms
(* (* (* (* (/ (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))
297.0ms
(* (* (* (/ (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))
941.0ms
(* (* (* (* (* (/ (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
760 → 760
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0299521984
1500119033
done500119033

prune1.3s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 8.6b

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)))

rewrite4.3s

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:
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)
418.0ms
(* (* (* (/ (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))
1.9s
(* (* (* (* (/ (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:
658.0ms
(/ 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))))
297.0ms
(pow (cbrt t) 3.0)
298.0ms
(* (* (* (/ (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))
721.0ms
(* (* (* (* (/ (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)))

simplify319.0ms

Counts
1198 → 1198
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0417339296
1500135571
done500135571

prune1.6s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 7.8b

regimes699.0ms

Accuracy

22.8% (7.5b remaining)

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

bsearch520.0ms

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

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
091141
194141
297141
397141
done97141

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.8s2098×body1280valid
964.0ms1752×body640valid
649.0ms5895×body80valid
314.0ms820×body320valid
107.0ms424×body160valid