Details

Time bar (total: 36.3s)

sample287.0ms

Algorithm
intervals
Results
144.0ms76×body1280valid
50.0ms57×body640valid
30.0ms162×body80valid
20.0ms32×body320valid
12.0ms20×body160valid

simplify23.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.1b

localize25.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (/ (pow t 3.0) (* l l)) (sin k))
2.9b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
15.4b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.4b
(/ (pow t 3.0) (* l l))

rewrite823.0ms

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:
46.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
95.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
657.0ms
(* (* (* (/ (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))

series1.9s

Counts
4 → 12
Calls
4 calls:
346.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
390.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
839.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
287.0ms
(/ (pow t 3.0) (* l l))

simplify101.0ms

Counts
156 → 156

prune701.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 16.0b

localize33.0ms

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))
2.9b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
7.4b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
15.4b
(* (* (* (* (/ (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
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:
57.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
202.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
11.0ms
(/ (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))

series2.5s

Counts
4 → 12
Calls
4 calls:
448.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
577.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
342.0ms
(/ (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))

simplify75.0ms

Counts
216 → 216

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 12.5b

localize76.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
1.8b
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k))
2.9b
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
15.4b
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite3.2s

Algorithm
rewrite-expression-head
Rules
1587×add-exp-log
874×prod-exp
621×div-exp
280×pow-exp
172×pow-to-exp
119×add-cbrt-cube
64×cbrt-unprod
55×associate-*l/
35×frac-times
33×pow1
27×cbrt-undiv
19×pow-prod-down
16×tan-quot
15×*-un-lft-identity associate-*r/
11×associate-*r*
10×add-sqr-sqrt add-cube-cbrt
8×flip3-+ flip-+
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 → 385
Calls
4 calls:
4.0ms
(pow (cbrt t) 3.0)
162.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k))
554.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
2.4s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (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:
473.0ms
(pow (cbrt t) 3.0)
460.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k))
615.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
1.2s
(* (* (* (* (/ (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify122.0ms

Counts
397 → 397

prune1.2s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 11.3b

localize67.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2))))
2.1b
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
2.8b
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k))
15.4b
(* (/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
1358×add-exp-log
776×prod-exp
486×div-exp
220×pow-exp
134×pow-to-exp
129×add-cbrt-cube
83×times-frac
61×cbrt-unprod
40×*-un-lft-identity
37×add-sqr-sqrt
36×cbrt-undiv
35×add-cube-cbrt
26×associate-*l*
19×associate-/r*
13×pow1
11×associate-*r*
9×unpow-prod-down associate-*r/ sqr-pow
8×associate-*l/
5×pow-prod-down div-inv
4×tan-quot frac-times add-log-exp
3×*-commutative associate-/l/ distribute-lft-out
2×flip3-+ associate-/r/ flip-+
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/l* unswap-sqr
Counts
4 → 384
Calls
4 calls:
268.0ms
(/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2))))
248.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
104.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.4s
(* (/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series3.0s

Counts
4 → 12
Calls
4 calls:
483.0ms
(/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2))))
499.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
398.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.6s
(* (/ (* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k)) (/ l (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify143.0ms

Counts
396 → 396

prune1.4s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 9.9b

regimes788.0ms

Accuracy

6.8% (7.6b remaining)

Error of 16.2b against oracle of 8.6b and baseline of 16.7b

bsearch1.2s

Steps
ItersRangePoint
9
2.4518852110851853e+69
3.217811591970086e+74
2.196899654104361e+73
9
4.541112261624007e-148
8.66135637121226e-140
5.833271920894617e-145
8
-1.219730356203349e-148
-7.621802709561935e-152
-6.055720208287474e-149
9
-2.9321243197412288e+172
-1.437929939467773e+163
-1.479648986687082e+163

simplify34.0ms

end0.0ms

sample11.3s

Algorithm
intervals
Results
4.5s2067×body1280valid
2.5s1719×body640valid
2.4s5906×body80valid
907.0ms823×body320valid
334.0ms443×body160valid