Details

Time bar (total: 47.9s)

sample262.0ms

Algorithm
intervals
Results
91.0ms63×body640valid
82.0ms67×body1280valid
33.0ms188×body80valid
18.0ms25×body320valid
5.0ms11×body160valid

simplify36.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize40.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
2.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
15.9b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
17.1b
(/ (pow t 3.0) (* l l))

rewrite1.0s

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:
123.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
61.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
767.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
50.0ms
(/ (pow t 3.0) (* l l))

series2.1s

Counts
4 → 12
Calls
4 calls:
593.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
340.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
903.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
306.0ms
(/ (pow t 3.0) (* l l))

simplify127.0ms

Counts
156 → 156

prune807.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.1b

localize52.0ms

Local error

Found 4 expressions with local error:

2.4b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
7.8b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
15.9b
(* (* (* (/ (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))

rewrite1.6s

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:
280.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
64.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
19.0ms
(/ (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))

series2.3s

Counts
4 → 12
Calls
4 calls:
517.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
403.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
280.0ms
(/ (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))

simplify52.0ms

Counts
241 → 241

prune1.6s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 14.7b

localize94.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ 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)))
2.4b
(* (* (* (/ (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))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
15.9b
(* (* (* (* (/ (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))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite7.6s

Algorithm
rewrite-expression-head
Rules
5733×add-exp-log
3663×prod-exp
1790×div-exp
709×pow-exp
424×pow-to-exp
412×add-cbrt-cube
291×cbrt-unprod
206×associate-*l/
179×frac-times
109×cbrt-undiv
56×tan-quot
53×associate-*r/
49×pow1
47×associate-/r/
42×add-sqr-sqrt
37×times-frac
36×associate-*l*
34×*-un-lft-identity
33×pow-prod-down
32×flip3-+ flip-+
29×add-cube-cbrt
20×unpow-prod-down
11×associate-*r*
10×cbrt-prod
5×unswap-sqr
4×add-log-exp sqr-pow
3×*-commutative distribute-lft-out associate-/l*
2×div-inv
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 988
Calls
4 calls:
3.0s
(/ 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)))
833.0ms
(* (* (* (/ (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))
33.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
3.5s
(* (* (* (* (/ (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))

series3.0s

Counts
4 → 12
Calls
4 calls:
980.0ms
(/ 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)))
533.0ms
(* (* (* (/ (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))
372.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (* (/ (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))

simplify372.0ms

Counts
1000 → 1000

prune3.2s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 12.9b

localize118.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
0.8b
(/ 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))))
3.8b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
17.8b
(* (* (* (/ (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) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0)))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
7633×add-exp-log
4726×prod-exp
2538×div-exp
946×pow-exp
566×pow-to-exp
539×add-cbrt-cube
370×cbrt-unprod
162×frac-times
158×cbrt-undiv
139×associate-*l/
78×associate-*r/
48×tan-quot pow1
47×associate-/r/
43×add-sqr-sqrt
37×times-frac
35×associate-*l*
32×flip3-+ pow-prod-down flip-+
30×add-cube-cbrt *-un-lft-identity
26×unpow-prod-down
13×cbrt-prod
5×unswap-sqr sqr-pow
4×distribute-rgt-in distribute-lft-in associate-*r* add-log-exp
3×pow-unpow associate-/l*
2×pow-pow *-commutative div-inv
1×frac-2neg pow1/3 clear-num associate-/r*
Counts
4 → 1228
Calls
4 calls:
6.0ms
(pow (cbrt t) 3.0)
1.2s
(/ 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))))
48.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (/ (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)))

series3.0s

Counts
4 → 12
Calls
4 calls:
406.0ms
(pow (cbrt t) 3.0)
935.0ms
(/ 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))))
300.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.3s
(* (* (* (/ (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)))

simplify470.0ms

Counts
1240 → 1240

prune3.5s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 12.2b

regimes1.2s

Accuracy

10.9% (7.1b remaining)

Error of 16.5b against oracle of 9.5b and baseline of 17.4b

bsearch1.0s

Steps
ItersRangePoint
5
4.0173081178841834e+114
9.128235039030929e+114
4.34646504792077e+114
8
6.635957631885214e-98
1.0341038316091305e-93
3.215800439826387e-96
8
-2.308706360310124e-149
-5.794426157073867e-154
-9.972072654460299e-150
9
-44882809.47282235
-0.19973978490672425
-31262.921254445646

simplify20.0ms

end0.0ms

sample11.6s

Algorithm
intervals
Results
3.8s2032×body1280valid
3.3s1726×body640valid
2.4s5895×body80valid
1.2s866×body320valid
206.0ms428×body160valid