Details

Time bar (total: 42.3s)

sample271.0ms

Algorithm
intervals
Results
93.0ms67×body1280valid
61.0ms24×body320valid
45.0ms51×body640valid
32.0ms182×body80valid
7.0ms16×body160valid

simplify1.3s

Counts
1 → 1
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01925
14825
216125
390325
done500024

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.1b

localize63.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.7b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.3b
(* (* (* (/ (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))

rewrite847.0ms

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:
37.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
115.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
671.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
18.0ms
(/ (pow t 3.0) (* l l))

series2.0s

Counts
4 → 12
Calls
4 calls:
372.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
498.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
857.0ms
(* (* (* (/ (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))

simplify501.0ms

Counts
164 → 164
Iterations

Useful iterations: done (494.0ms)

IterNodesCost
02623323
18393183
done50012717

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 17.7b

localize51.0ms

Local error

Found 4 expressions with local error:

3.7b
(* (* (/ (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))
8.4b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.3b
(* (* (* (/ (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:
224.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
23.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
7.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
917.0ms
(* (* (* (/ (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))

series2.2s

Counts
4 → 12
Calls
4 calls:
482.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
312.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
292.0ms
(/ (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))

simplify983.0ms

Counts
249 → 249
Iterations

Useful iterations: done (974.0ms)

IterNodesCost
04407110
113946804
done50015857

prune2.1s

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.3b

localize77.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.7b
(* (* (* (pow (cbrt t) 3.0) (/ (pow (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))
12.3b
(* (* (* (* (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))

rewrite1.9s

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:
82.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
321.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
45.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.4s
(* (* (* (* (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))

series2.4s

Counts
4 → 12
Calls
4 calls:
431.0ms
(* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
518.0ms
(* (* (* (pow (cbrt t) 3.0) (/ (pow (cbrt t) 3.0) l)) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
404.0ms
(* (/ (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))

simplify648.0ms

Counts
386 → 386
Iterations

Useful iterations: done (634.0ms)

IterNodesCost
044212938
1151710796
done50019386

prune2.3s

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 8.1b

localize83.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
3.7b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (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))
12.3b
(* (* (* (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))

rewrite2.8s

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:
167.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
515.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
28.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
2.0s
(* (* (* (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))

series2.4s

Counts
4 → 12
Calls
4 calls:
445.0ms
(* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))))
501.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k)))) (tan k))
347.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (* (* (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))

simplify719.0ms

Counts
377 → 377
Iterations

Useful iterations: done (695.0ms)

IterNodesCost
044812296
1152511075
done50019314

prune1.9s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 6.9b

regimes1.6s

Accuracy

19.2% (8.0b remaining)

Error of 15.6b against oracle of 7.6b and baseline of 17.5b

bsearch1.9s

Steps
ItersRangePoint
6
2.86693241313981e+144
4.0371856501544666e+145
3.257407526461612e+144
9
3.856101644728124e-108
2.1261502467242897e-101
1.3875382237278014e-101
7
-1.5767345696968515e-232
-5.079331394345512e-234
-1.2351731297045533e-233
8
-3.377650807335256e-16
-8.870655314211913e-19
-4.0257593467717836e-17
7
-1.4819599476454846e+147
-1.1271786424558594e+145
-4.121266670328254e+145

simplify13.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
081264
1109264
done109264

end0.0ms

sample10.9s

Algorithm
intervals
Results
4.2s2066×body1280valid
2.6s1762×body640valid
2.0s5980×body80valid
1.2s758×body320valid
298.0ms437×body160valid