Details

Time bar (total: 49.1s)

sample287.0ms

Algorithm
intervals
Results
110.0ms61×body640valid
94.0ms69×body1280valid
38.0ms193×body80valid
18.0ms27×body320valid
5.0ms13×body160valid

simplify3.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01925
14825
215725
384225
4465725
done500125

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.1b

localize38.0ms

Local error

Found 4 expressions with local error:

2.7b
(* (/ (pow t 3.0) (* l l)) (sin k))
3.2b
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
12.8b
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
16.2b
(/ (pow t 3.0) (* l l))

rewrite994.0ms

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:
68.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
126.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
778.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
12.0ms
(/ (pow t 3.0) (* l l))

series2.1s

Counts
4 → 12
Calls
4 calls:
390.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
488.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
934.0ms
(* (* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))
246.0ms
(/ (pow t 3.0) (* l l))

simplify2.6s

Counts
156 → 156
Iterations

Useful iterations: 2 (1.2s)

IterNodesCost
02553209
17543070
234832565
done50002565

prune814.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 18.3b

localize49.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.4b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
11.3b
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
12.8b
(* (* (* (/ (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))

rewrite1.5s

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:
248.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
49.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
9.0ms
(/ (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:
606.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
385.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
307.0ms
(/ (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))

simplify1.0s

Counts
241 → 241
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04296958
112506583
done50005619

prune1.6s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 12.2b

localize69.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
3.2b
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.4b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.8b
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite2.5s

Algorithm
rewrite-expression-head
Rules
1050×add-exp-log
674×times-frac
554×prod-exp
435×div-exp
404×unpow-prod-down
381×associate-*l*
343×add-sqr-sqrt
335×*-un-lft-identity
330×add-cube-cbrt
202×cbrt-prod
151×add-cbrt-cube
145×pow-to-exp pow-exp
78×cbrt-unprod
68×sqr-pow
47×associate-*l/
37×cbrt-undiv
35×frac-times
34×pow1
20×pow-prod-down
16×tan-quot
15×associate-*r/
12×associate-*r* div-inv
8×flip3-+ flip-+
5×unswap-sqr
4×*-commutative add-log-exp
3×distribute-lft-out
1×distribute-rgt-in distribute-lft-in associate-/r/
Counts
4 → 710
Calls
4 calls:
176.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
372.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
35.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.9s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.6s

Counts
4 → 12
Calls
4 calls:
486.0ms
(* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k)))
531.0ms
(* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
407.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (* (* (/ (pow (cbrt t) 3.0) (/ l (pow (cbrt t) 3.0))) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify1.4s

Counts
722 → 722
Iterations

Useful iterations: done (1.3s)

IterNodesCost
080620672
1256519457
done500017107

prune5.5s

Pruning

29 alts after pruning (29 fresh and 0 done)

Merged error: 9.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (cbrt t) 3.0)
1.6b
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
3.4b
(* (/ (pow (cbrt t) 3.0) l) (sin k))
12.8b
(* (/ (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (/ l (pow (cbrt t) 3.0))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
491×add-exp-log
288×prod-exp
167×div-exp
98×times-frac
80×add-cbrt-cube
74×associate-*l*
66×add-sqr-sqrt
59×pow-to-exp pow-exp
56×*-un-lft-identity
51×add-cube-cbrt
44×unpow-prod-down
40×cbrt-unprod
22×cbrt-prod
19×cbrt-undiv
11×pow1 associate-*r*
8×sqr-pow
6×unswap-sqr
5×associate-*r/ associate-*l/
4×add-log-exp
3×frac-times pow-unpow pow-prod-down *-commutative div-inv distribute-lft-out
2×tan-quot pow-pow flip3-+ flip-+
1×distribute-rgt-in distribute-lft-in pow1/3 associate-/r/
Counts
4 → 256
Calls
4 calls:
4.0ms
(pow (cbrt t) 3.0)
198.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
36.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.2s
(* (/ (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (/ l (pow (cbrt t) 3.0))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

series2.5s

Counts
4 → 12
Calls
4 calls:
489.0ms
(pow (cbrt t) 3.0)
515.0ms
(* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k))
333.0ms
(* (/ (pow (cbrt t) 3.0) l) (sin k))
1.1s
(* (/ (* (* (pow (cbrt t) 3.0) (* (/ (pow (cbrt t) 3.0) l) (sin k))) (tan k)) (/ l (pow (cbrt t) 3.0))) (+ (+ 1.0 (pow (/ k t) 2.0)) 1.0))

simplify897.0ms

Counts
268 → 268
Iterations

Useful iterations: done (881.0ms)

IterNodesCost
04837732
114647153
done50015767

prune2.0s

Pruning

33 alts after pruning (33 fresh and 0 done)

Merged error: 8.0b

regimes1.3s

Accuracy

15.2% (4.6b remaining)

Error of 12.7b against oracle of 8.1b and baseline of 13.5b

bsearch693.0ms

Steps
ItersRangePoint
9
2.5686650989461936e-255
4.471330997126742e-246
4.402616231627377e-246
8
-9.289723716642334e-237
-2.5505616043872496e-241
-4.860005812158333e-239

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
044126
16187
done6187

end0.0ms

sample11.2s

Algorithm
intervals
Results
4.5s2070×body1280valid
2.7s1657×body640valid
2.4s6037×body80valid
935.0ms922×body320valid
214.0ms432×body160valid