Details

Time bar (total: 50.1s)

sample285.0ms

Algorithm
intervals
Results
132.0ms68×body1280valid
56.0ms57×body640valid
42.0ms198×body80valid
23.0ms33×body320valid
5.0ms11×body160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01925
14825
215725
384225
4465725
done500125

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.4b

localize25.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.7b
(* (/ (pow t 3.0) (* l l)) (sin k))
16.3b
(/ (pow t 3.0) (* l l))
16.5b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite865.0ms

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:
107.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
43.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
12.0ms
(/ (pow t 3.0) (* l l))
696.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
570.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
401.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
297.0ms
(/ (pow t 3.0) (* l l))
982.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify2.3s

Counts
156 → 156
Iterations

Useful iterations: 2 (765.0ms)

IterNodesCost
02553209
17543070
234922565
done50002565

prune892.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 17.4b

localize52.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.0b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
16.5b
(* (* (* (/ (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))

rewrite1.4s

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 frac-2neg distribute-lft-in clear-num
Counts
4 → 229
Calls
4 calls:
211.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
41.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
9.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.1s
(* (* (* (/ (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))

series2.8s

Counts
4 → 12
Calls
4 calls:
556.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
749.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
361.0ms
(/ (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))

simplify910.0ms

Counts
241 → 241
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
04296958
112506583
done50005619

prune1.5s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.8b

localize54.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.7b
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
16.5b
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.6s

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
674×times-frac
554×prod-exp
435×div-exp
404×unpow-prod-down
381×associate-*l*
343×add-sqr-sqrt
335×*-un-lft-identity
330×add-cube-cbrt
202×cbrt-prod
151×add-cbrt-cube
145×pow-to-exp pow-exp
78×cbrt-unprod
68×sqr-pow
47×associate-*l/
37×cbrt-undiv
35×frac-times
34×pow1
20×pow-prod-down
16×tan-quot
15×associate-*r/
12×associate-*r* div-inv
8×flip3-+ flip-+
5×unswap-sqr
4×*-commutative add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-/r/
Counts
4 → 710
Calls
4 calls:
283.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
409.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
33.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.7s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (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:
466.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
536.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
310.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.5s

Counts
722 → 722
Iterations

Useful iterations: done (1.5s)

IterNodesCost
080620672
1256519457
done500017107

prune5.3s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.1b

localize45.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.1b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.4b
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
12.8b
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.3s

Algorithm
rewrite-expression-head
Rules
576×add-exp-log
347×prod-exp
183×div-exp
128×times-frac
103×add-cbrt-cube
80×add-sqr-sqrt
72×*-un-lft-identity
67×pow-to-exp add-cube-cbrt pow-exp
56×unpow-prod-down
53×cbrt-unprod
36×associate-*l*
34×associate-/r*
28×cbrt-prod associate-*l/
25×associate-*r/
23×cbrt-undiv
19×frac-times
14×tan-quot
13×pow1
11×associate-*r* associate-/l/
10×sqr-pow
8×flip3-+ flip-+
5×pow-prod-down unswap-sqr
4×div-inv add-log-exp
3×*-commutative distribute-lft-out
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r/ associate-/l*
Counts
4 → 320
Calls
4 calls:
240.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
65.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
912.0ms
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
1.0s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.4s

Counts
4 → 12
Calls
4 calls:
550.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
416.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(/ (* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)) (/ l (pow (cbrt t) 3.0)))
1.3s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify943.0ms

Counts
332 → 332
Iterations

Useful iterations: done (918.0ms)

IterNodesCost
055511561
1161410744
done50009529

prune1.8s

Pruning

34 alts after pruning (34 fresh and 0 done)

Merged error: 7.5b

regimes1.6s

Accuracy

51.3% (3.7b remaining)

Error of 10.6b against oracle of 6.8b and baseline of 14.5b

bsearch517.0ms

Steps
ItersRangePoint
7
7.08713784555526e-61
2.3035787076265244e-59
5.664702255757937e-60
7
-0.22637101271021068
-0.008005822963963436
-0.0495663238912942

simplify21.0ms

Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
064170
187168
done87168

end0.0ms

sample11.3s

Algorithm
intervals
Results
4.7s2029×body1280valid
2.4s1742×body640valid
2.3s5924×body80valid
726.0ms880×body320valid
705.0ms398×body160valid