Details

Time bar (total: 55.8s)

sample304.0ms

Algorithm
intervals
Results
108.0ms59×body1280valid
56.0ms54×body640valid
38.0ms177×body80valid
24.0ms34×body320valid
6.0ms12×body160valid

simplify1.6s

Counts
1 → 1
Iterations
IterNodes
done5000
3873
2158
148
019

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize40.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
4.4b
(* (/ (pow t 3.0) (* l l)) (sin k))
13.1b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
18.7b
(/ (pow t 3.0) (* l l))

rewrite693.0ms

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:
87.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
31.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
555.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
9.0ms
(/ (pow t 3.0) (* l l))

series2.2s

Counts
4 → 12
Calls
4 calls:
444.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
402.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
1.0s
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
308.0ms
(/ (pow t 3.0) (* l l))

simplify1.6s

Counts
156 → 156
Iterations
IterNodes
done5000
1822
0254

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 13.8b

localize68.0ms

Local error

Found 4 expressions with local error:

2.5b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.0b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.6b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
13.1b
(* (* (* (/ (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:
190.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
50.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
844.0ms
(* (* (* (/ (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))

series2.1s

Counts
4 → 12
Calls
4 calls:
518.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
276.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
264.0ms
(/ (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))

simplify1.8s

Counts
241 → 241
Iterations
IterNodes
done5000
11368
0432

prune2.2s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 8.8b

localize112.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.5b
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.0b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.1b
(* (* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite6.2s

Algorithm
rewrite-expression-head
Rules
2154×add-exp-log
1190×prod-exp
837×div-exp
322×add-cbrt-cube
228×cbrt-unprod
199×pow-to-exp pow-exp
125×associate-*l/
103×frac-times cbrt-undiv
61×pow1
41×pow-prod-down
40×add-sqr-sqrt
37×associate-*l*
34×times-frac
33×associate-*r/
32×*-un-lft-identity tan-quot
27×add-cube-cbrt
20×unpow-prod-down
16×flip3-+ flip-+
12×associate-*r*
10×cbrt-prod
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 → 564
Calls
4 calls:
281.0ms
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
954.0ms
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
50.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
4.9s
(* (* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt 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:
402.0ms
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
588.0ms
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
356.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (/ (pow (cbrt t) 3.0) (cbrt l))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify3.1s

Counts
576 → 576
Iterations
IterNodes
done5001
12349
0624

prune3.1s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 7.6b

localize123.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
2.5b
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
4.0b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.1b
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite3.9s

Algorithm
rewrite-expression-head
Rules
1549×add-exp-log
893×prod-exp
567×div-exp
235×add-cbrt-cube
171×cbrt-unprod
134×pow-to-exp pow-exp
100×associate-*l/
98×frac-times
73×cbrt-undiv
46×associate-*r/
43×add-sqr-sqrt
41×pow1
36×associate-*l*
35×*-un-lft-identity
34×times-frac
32×tan-quot
30×add-cube-cbrt
26×unpow-prod-down pow-prod-down
16×flip3-+ flip-+
13×cbrt-prod
11×associate-*r*
5×unswap-sqr sqr-pow
4×add-log-exp
3×pow-unpow *-commutative distribute-lft-out
2×pow-pow
1×distribute-rgt-in distribute-lft-in pow1/3 div-inv
Counts
4 → 436
Calls
4 calls:
5.0ms
(pow (cbrt t) 3.0)
742.0ms
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
45.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.0s
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt 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:
453.0ms
(pow (cbrt t) 3.0)
536.0ms
(* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
370.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (/ (/ (pow (cbrt t) 3.0) (cbrt l)) (cbrt l)) (* (/ (pow (cbrt t) 3.0) (cbrt l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify3.4s

Counts
448 → 448
Iterations
IterNodes
done5002
12450
0638

prune3.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 3.9b

regimes1.5s

Accuracy

60.6% (5.8b remaining)

Error of 8.9b against oracle of 3.1b and baseline of 17.8b

bsearch604.0ms

Steps
ItersRangePoint
9
8.73579051360613e-12
6.220956769517991e-07
1.087320339047084e-09
9
-1.6938002153937483e+104
-2.5769108201642708e+97
-9.810650013556715e+99

simplify21.0ms

Iterations
IterNodes
done65
165
049

end0.0ms

sample10.9s

Algorithm
intervals
Results
5.9s2042×body1280valid
2.1s1721×body640valid
1.5s5963×body80valid
670.0ms848×body320valid
220.0ms437×body160valid