Details

Time bar (total: 53.8s)

sample332.0ms

Algorithm
intervals
Results
114.0ms99×body640valid
88.0ms88×body1280valid
45.0ms298×body80valid
22.0ms38×body320valid
8.0ms27×body160valid

simplify6.8s

Counts
1 → 1
Iterations
IterNodes
done5000
73163
61067
5416
4202
385
244
124
014

prune29.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize113.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.6b
(- (exp l) (exp (- l)))

rewrite456.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×expm1-log1p-u sub-neg flip3-- fma-neg insert-posit16 log1p-expm1-u flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 99
Calls
3 calls:
147.0ms
(* J (- (exp l) (exp (- l))))
248.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
45.0ms
(- (exp l) (exp (- l)))

series437.0ms

Counts
3 → 9
Calls
3 calls:
160.0ms
(* J (- (exp l) (exp (- l))))
218.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
59.0ms
(- (exp l) (exp (- l)))

simplify7.9s

Counts
108 → 108
Iterations
IterNodes
done5001
33945
21015
1391
0170

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* l J) (* l J))
0.1b
(* (+ (* l J) (* l J)) (cos (/ K 2.0)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*l*
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×expm1-log1p-u flip3-+ distribute-rgt-out count-2 associate-*l/ flip-+ insert-posit16 log1p-expm1-u distribute-lft-out
1×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 44
Calls
2 calls:
19.0ms
(+ (* l J) (* l J))
95.0ms
(* (+ (* l J) (* l J)) (cos (/ K 2.0)))

series172.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ (* l J) (* l J))
133.0ms
(* (+ (* l J) (* l J)) (cos (/ K 2.0)))

simplify8.0s

Counts
50 → 50
Iterations
IterNodes
done5001
33430
2615
1152
068

prune770.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize168.0ms

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)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u 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 → 85
Calls
4 calls:
39.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
3.0ms
(cbrt (cos (/ K 2.0)))
3.0ms
(cbrt (cos (/ K 2.0)))
3.0ms
(cbrt (cos (/ K 2.0)))

series1.5s

Counts
4 → 12
Calls
4 calls:
580.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
300.0ms
(cbrt (cos (/ K 2.0)))
291.0ms
(cbrt (cos (/ K 2.0)))
310.0ms
(cbrt (cos (/ K 2.0)))

simplify5.2s

Counts
97 → 97
Iterations
IterNodes
done5000
42243
3762
2350
1161
076

prune1.6s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize154.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3))
0.1b
(* (* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3)) (cbrt (cos (/ K 2.0))))
0.2b
(* (cos (/ K 2.0)) (cos (/ K 2.0)))
0.3b
(cbrt (cos (/ K 2.0)))

rewrite441.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
19×add-sqr-sqrt
16×prod-exp
14×associate-*r*
13×pow1 *-un-lft-identity add-cbrt-cube add-cube-cbrt
10×associate-*l*
8×cbrt-unprod
6×cbrt-prod associate-*l/
4×expm1-log1p-u pow-exp insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×swap-sqr *-commutative
2×pow-to-exp unpow-prod-down flip3-+ unpow1/3 pow-prod-down flip-+ sqr-pow
1×pow2 sqr-cos pow-plus distribute-rgt-out count-2 pow1/3 pow-sqr cos-mult pow-prod-up distribute-lft-out
Counts
4 → 106
Calls
4 calls:
148.0ms
(* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3))
236.0ms
(* (* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3)) (cbrt (cos (/ K 2.0))))
41.0ms
(* (cos (/ K 2.0)) (cos (/ K 2.0)))
6.0ms
(cbrt (cos (/ K 2.0)))

series896.0ms

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3))
155.0ms
(* (* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3)) (cbrt (cos (/ K 2.0))))
76.0ms
(* (cos (/ K 2.0)) (cos (/ K 2.0)))
315.0ms
(cbrt (cos (/ K 2.0)))

simplify4.3s

Counts
118 → 118
Iterations
IterNodes
done5001
21564
1433
0169

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes1.5s

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample9.5s

Algorithm
intervals
Results
3.2s2733×body1280valid
2.3s2729×body640valid
1.9s8506×body80valid
714.0ms1443×body320valid
323.0ms832×body160valid