Details

Time bar (total: 49.8s)

sample249.0ms

Algorithm
intervals
Results
82.0ms63×body1280valid
65.0ms53×body640valid
39.0ms203×body80valid
21.0ms30×body320valid
8.0ms16×body160valid

simplify1.9s

Counts
1 → 1
Iterations

Useful iterations: done (1.9s)

IterNodesCost
019941
148941
2161941
3903941
done5000917

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.3b

localize47.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
4.3b
(* (/ (pow t 3.0) (* l l)) (sin k))
14.9b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
15.8b
(/ (pow t 3.0) (* l l))

rewrite744.0ms

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×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 clear-num associate-/r* frac-2neg distribute-lft-in
Counts
4 → 152
Calls
4 calls:
78.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
27.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
619.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
13.0ms
(/ (pow t 3.0) (* l l))

series2.0s

Counts
4 → 12
Calls
4 calls:
454.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
356.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
955.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
239.0ms
(/ (pow t 3.0) (* l l))

simplify1.6s

Counts
164 → 164
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0262111887
1839102548
done5000101434

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 16.1b

localize101.0ms

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))
4.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
8.6b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
14.9b
(* (* (* (/ (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
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×expm1-log1p-u log1p-expm1-u 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 → 237
Calls
4 calls:
159.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
26.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
13.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
989.0ms
(* (* (* (/ (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:
545.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
318.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
271.0ms
(/ (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))

simplify2.5s

Counts
249 → 249
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0440243681
11394226634
done5001223455

prune2.1s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.3b

localize77.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
2.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
4.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.9b
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
734×prod-exp
255×div-exp
151×add-cbrt-cube
145×pow-to-exp pow-exp
96×cbrt-unprod
47×associate-*l/
40×add-sqr-sqrt
37×associate-*l*
35×frac-times
34×pow1 times-frac
33×associate-*r/
32×*-un-lft-identity
27×add-cube-cbrt
20×unpow-prod-down pow-prod-down
19×cbrt-undiv
16×tan-quot
12×associate-*r*
10×cbrt-prod
8×flip3-+ flip-+
5×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp sqr-pow
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 374
Calls
4 calls:
105.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
304.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
48.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.6s
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.3s

Counts
4 → 12
Calls
4 calls:
402.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
514.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
373.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.0s
(* (* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify2.6s

Counts
386 → 386
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0442375055
11517307410
done5001305744

prune2.4s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 9.1b

localize91.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
2.7b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
4.3b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
14.9b
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
1011×add-exp-log
710×prod-exp
246×div-exp
145×pow-to-exp pow-exp
124×add-cbrt-cube
78×cbrt-unprod
47×associate-*l/
46×associate-*l*
43×add-sqr-sqrt
42×associate-*r/
35×frac-times *-un-lft-identity
34×times-frac
30×add-cube-cbrt
26×unpow-prod-down
16×cbrt-undiv tan-quot
13×cbrt-prod pow1
12×associate-*r*
8×flip3-+ flip-+
5×pow-prod-down unswap-sqr sqr-pow
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in div-inv
Counts
4 → 365
Calls
4 calls:
162.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
542.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
30.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.2s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.5s

Counts
4 → 12
Calls
4 calls:
411.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
546.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
391.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify3.4s

Counts
377 → 377
Iterations

Useful iterations: done (3.3s)

IterNodesCost
0448362737
11525297822
done5001296756

prune2.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 7.9b

regimes1.3s

Accuracy

-3.4% (10.1b remaining)

Error of 18.2b against oracle of 8.1b and baseline of 17.9b

bsearch1.5s

Steps
ItersRangePoint
9
8.457666025207543e+176
1.0597501231401826e+183
8.960378091421642e+176
7
7.462289629217135e+81
1.459668255758213e+84
5.149546980068363e+83
7
1.5702103320312816e-129
8.344131890165545e-128
1.1369724467048922e-128
10
2.598884971225155e-220
8.777228586876032e-206
5.8393050450581e-206
9
-1.4283835655938964e+54
-1.5371233422266502e+47
-5.04451895032133e+47
4
-9.036506680703694e+149
-6.127909549552715e+149
-7.601645767137618e+149

simplify137.0ms

Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
01135815
11525815
done1525815

end0.0ms

sample10.4s

Algorithm
intervals
Results
4.4s2044×body1280valid
3.0s1826×body640valid
1.6s5812×body80valid
693.0ms819×body320valid
208.0ms439×body160valid