Details

Time bar (total: 46.4s)

sample256.0ms

Algorithm
intervals
Results
127.0ms76×body1280valid
50.0ms57×body640valid
28.0ms162×body80valid
18.0ms32×body320valid
7.0ms20×body160valid

simplify3.3s

Counts
1 → 1
Iterations

Useful iterations: 4 (1.9s)

IterNodesCost
01925
14825
216025
388225
4495024
done500024

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 33.1b

localize34.0ms

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))

rewrite966.0ms

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×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 frac-2neg distribute-lft-in clear-num associate-/r*
Counts
4 → 152
Calls
4 calls:
52.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
92.0ms
(* (* (/ (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))
37.0ms
(/ (pow t 3.0) (* l l))

series2.0s

Counts
4 → 12
Calls
4 calls:
385.0ms
(* (/ (pow t 3.0) (* l l)) (sin k))
461.0ms
(* (* (/ (pow t 3.0) (* l l)) (sin k)) (tan k))
947.0ms
(* (* (* (/ (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))

simplify2.5s

Counts
164 → 164
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02633323
17733179
235652673
done50012672

prune869.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 16.0b

localize56.0ms

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))

rewrite1.9s

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×expm1-log1p-u unpow-prod-down log1p-expm1-u 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 → 212
Calls
4 calls:
76.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
265.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
9.0ms
(/ (pow (* (cbrt t) (cbrt t)) 3.0) l)
1.5s
(* (* (* (* (/ (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:
435.0ms
(* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k))
536.0ms
(* (* (* (/ (pow (* (cbrt t) (cbrt t)) 3.0) l) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
332.0ms
(/ (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))

simplify3.1s

Counts
224 → 224
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
03757145
111036702
249615691
done50005691

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.5b

localize45.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 393
Calls
4 calls:
7.0ms
(pow (cbrt t) 3.0)
149.0ms
(* (* (/ (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))
506.0ms
(* (* (* (/ (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))
2.5s
(* (* (* (* (/ (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))

series2.5s

Counts
4 → 12
Calls
4 calls:
487.0ms
(pow (cbrt t) 3.0)
401.0ms
(* (* (/ (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))
513.0ms
(* (* (* (/ (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))
1.1s
(* (* (* (* (/ (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))

simplify952.0ms

Counts
405 → 405
Iterations

Useful iterations: done (933.0ms)

IterNodesCost
049518194
1138116436
done500014640

prune1.1s

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 11.3b

localize74.0ms

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))

rewrite2.3s

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 expm1-log1p-u frac-times log1p-expm1-u 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 → 392
Calls
4 calls:
221.0ms
(/ (* (* (* (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))))
227.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
83.0ms
(* (* (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))

series2.5s

Counts
4 → 12
Calls
4 calls:
543.0ms
(/ (* (* (* (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))))
510.0ms
(* (* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k)) (tan k))
356.0ms
(* (* (pow (* (cbrt t) (cbrt t)) (/ 3.0 2)) (/ (pow (cbrt t) 3.0) l)) (sin k))
1.1s
(* (/ (* (* (* (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))

simplify1.0s

Counts
404 → 404
Iterations

Useful iterations: done (993.0ms)

IterNodesCost
051917850
1151916151
done500014326

prune1.3s

Pruning

25 alts after pruning (25 fresh and 0 done)

Merged error: 9.7b

regimes996.0ms

Accuracy

11.2% (7.0b remaining)

Error of 15.5b against oracle of 8.5b and baseline of 16.3b

bsearch1.0s

Steps
ItersRangePoint
9
2.9312978430050554e+61
2.4518852110851853e+69
1.2935456367862047e+65
9
4.541112261624007e-148
8.66135637121226e-140
3.801113146251713e-143
8
-1.219730356203349e-148
-7.621802709561935e-152
-8.8074587878719e-151
9
-4.973876092969624e+118
-7.364970637457603e+111
-7.47160159598796e+111

simplify16.0ms

Iterations

Useful iterations: done (15.0ms)

IterNodesCost
089265
1113261
done113259

end0.0ms

sample10.6s

Algorithm
intervals
Results
4.0s2067×body1280valid
2.5s5906×body80valid
2.1s1719×body640valid
1.1s823×body320valid
363.0ms443×body160valid