Details

Time bar (total: 8.2s)

sample112.0ms

Algorithm
intervals
Results
38.0ms96×body1280valid
20.0ms85×body640valid
17.0ms259×body80valid
8.0ms52×body320valid
3.0ms23×body160valid

simplify369.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0239
1419
2839
31739
42719
55339
610239
713959
843699
950029
done50029

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize13.0ms

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)))

rewrite174.0ms

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:
43.0ms
(* J (- (exp l) (exp (- l))))
56.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
60.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
13.0ms
(- (exp l) (exp (- l)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* J (- (exp l) (exp (- l))))
213.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
96.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
37.0ms
(- (exp l) (exp (- l)))

simplify45.0ms

Counts
83 → 83
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357755
11396660
25001654
done5001654

prune250.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))

rewrite180.0ms

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:
66.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
11.0ms
(* 1/60 (pow l 5))
13.0ms
(* 1/3 (pow l 3))
87.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series392.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
47.0ms
(* 1/60 (pow l 5))
42.0ms
(* 1/3 (pow l 3))
166.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify72.0ms

Counts
110 → 110
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0464828
12372703
25001703
done5001703

prune358.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 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))

rewrite169.0ms

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:
11.0ms
(* 1/60 (pow l 5))
67.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
72.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
16.0ms
(* 1/3 (pow l 3))

series349.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(* 1/60 (pow l 5))
90.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
166.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
39.0ms
(* 1/3 (pow l 3))

simplify66.0ms

Counts
108 → 108
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0444856
12079731
25001731
done5001731

prune348.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite16.0ms

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:
11.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))
1.0ms
(cbrt (cos (/ K 2.0)))

series705.0ms

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
145.0ms
(cbrt (cos (/ K 2.0)))
138.0ms
(cbrt (cos (/ K 2.0)))
148.0ms
(cbrt (cos (/ K 2.0)))

simplify71.0ms

Counts
85 → 85
Iterations

Useful iterations: 3 (65.0ms)

IterNodesCost
0131583
1426532
22037487
35001482
done5001482

prune537.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes249.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012
done3012

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s2716×body1280valid
667.0ms2614×body640valid
455.0ms8498×body80valid
241.0ms1428×body320valid
85.0ms778×body160valid