Details

Time bar (total: 22.1s)

sample106.0ms

Algorithm
intervals
Results
40.0ms99×body1280valid
19.0ms74×body640valid
15.0ms270×body80valid
10.0ms46×body320valid
2.0ms23×body160valid

simplify9.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01415
12315
24115
37415
412615
520215
636515
745815
878415
9334415
done500115

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.9b
(- (exp l) (exp (- l)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
24.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
19.0ms
(* J (- (exp l) (exp (- l))))
28.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
6.0ms
(- (exp l) (exp (- l)))

series380.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
53.0ms
(* J (- (exp l) (exp (- l))))
89.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
38.0ms
(- (exp l) (exp (- l)))

simplify2.9s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01461240
13571185
211091031
347281016
done50001016

prune254.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
0.1b
(* 1/60 (pow l 5))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.2b
(* 1/3 (pow l 3))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-*l* prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod associate-*r/ pow-prod-down *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*l/ pow-exp flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 98
Calls
4 calls:
33.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
5.0ms
(* 1/60 (pow l 5))
37.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series382.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
51.0ms
(* 1/60 (pow l 5))
161.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
36.0ms
(* 1/3 (pow l 3))

simplify1.0s

Counts
110 → 110
Iterations

Useful iterations: 2 (445.0ms)

IterNodesCost
01841706
14701616
218591390
done50011390

prune356.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow l 5))
0.1b
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
0.1b
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
0.2b
(* 1/3 (pow l 3))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 96
Calls
4 calls:
5.0ms
(* 1/60 (pow l 5))
32.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
32.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
6.0ms
(* 1/3 (pow l 3))

series338.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* 1/60 (pow l 5))
162.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
89.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
36.0ms
(* 1/3 (pow l 3))

simplify668.0ms

Counts
108 → 108
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01811751
14541661
217251431
done50001431

prune365.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
14.1b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
14.1b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
14.1b
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/ associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
26.0ms
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
34.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
38.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
34.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

series1.2s

Counts
4 → 12
Calls
4 calls:
336.0ms
(* (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))) (cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))))
296.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
298.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))
300.0ms
(cbrt (* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0))))

simplify526.0ms

Counts
84 → 84
Iterations

Useful iterations: done (522.0ms)

IterNodesCost
01744042
14263713
214053313
done50003311

prune476.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes432.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02224
13024
done3024

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.1s2666×body1280valid
681.0ms2611×body640valid
474.0ms8434×body80valid
255.0ms1454×body320valid
83.0ms738×body160valid