Details

Time bar (total: 38.6s)

sample146.0ms

Algorithm
intervals
Results
50.0ms96×body1280valid
30.0ms85×body640valid
17.0ms259×body80valid
11.0ms52×body320valid
3.0ms23×body160valid

simplify19.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01415
12315
24115
38115
416815
523015
628515
739515
848315
980015
10130115
11194815
12245515
13275815
14284015
done284015

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
4.8b
(- (exp l) (exp (- l)))

rewrite271.0ms

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:
71.0ms
(* J (- (exp l) (exp (- l))))
91.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
83.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
22.0ms
(- (exp l) (exp (- l)))

series588.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* J (- (exp l) (exp (- l))))
298.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
149.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
53.0ms
(- (exp l) (exp (- l)))

simplify3.4s

Counts
83 → 83
Iterations

Useful iterations: 3 (1.3s)

IterNodesCost
01461240
13491185
29941031
339101016
done50001016

prune412.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite263.0ms

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:
92.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
24.0ms
(* 1/60 (pow l 5))
18.0ms
(* 1/3 (pow l 3))
125.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series566.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
60.0ms
(* 1/60 (pow l 5))
69.0ms
(* 1/3 (pow l 3))
229.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify1.2s

Counts
110 → 110
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01841706
14661616
216401390
done50001389

prune546.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite286.0ms

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:
24.0ms
(* 1/60 (pow l 5))
114.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
115.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
26.0ms
(* 1/3 (pow l 3))

series539.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(* 1/60 (pow l 5))
136.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
248.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
67.0ms
(* 1/3 (pow l 3))

simplify1.2s

Counts
108 → 108
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01811751
14471661
215501433
done50001406

prune548.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
24.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
2.0ms
(cbrt (cos (/ K 2.0)))
2.0ms
(cbrt (cos (/ K 2.0)))
2.0ms
(cbrt (cos (/ K 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
408.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
228.0ms
(cbrt (cos (/ K 2.0)))
209.0ms
(cbrt (cos (/ K 2.0)))
236.0ms
(cbrt (cos (/ K 2.0)))

simplify2.1s

Counts
85 → 85
Iterations

Useful iterations: done (2.0s)

IterNodesCost
070982
1132897
2295825
3651742
41599735
done5001695

prune544.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02224
13024
done3024

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.6s2716×body1280valid
956.0ms2614×body640valid
673.0ms8498×body80valid
349.0ms1428×body320valid
128.0ms778×body160valid