Details

Time bar (total: 54.9s)

sample227.0ms

Algorithm
intervals
Results
90.0ms88×body1280valid
45.0ms99×body640valid
32.0ms298×body80valid
12.0ms38×body320valid
6.0ms27×body160valid

simplify9.0s

Counts
1 → 1
Iterations
IterNodes
done5000
73179
61004
5361
4183
380
241
123
014

prune32.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize126.0ms

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)))

rewrite400.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
3×sub-neg flip3-- insert-posit16 flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 63
Calls
3 calls:
149.0ms
(* J (- (exp l) (exp (- l))))
208.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
39.0ms
(- (exp l) (exp (- l)))

series406.0ms

Counts
3 → 9
Calls
3 calls:
131.0ms
(* J (- (exp l) (exp (- l))))
226.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
49.0ms
(- (exp l) (exp (- l)))

simplify7.9s

Counts
72 → 72
Iterations
IterNodes
done5000
33852
2865
1286
0116

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize93.0ms

Local error

Found 2 expressions with local error:

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

rewrite130.0ms

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×flip3-+ distribute-rgt-out count-2 associate-*l/ flip-+ insert-posit16 distribute-lft-out
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 39
Calls
2 calls:
36.0ms
(+ (* l J) (* l J))
90.0ms
(* (+ (* l J) (* l J)) (cos (/ K 2.0)))

series207.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* l J) (* l J))
170.0ms
(* (+ (* l J) (* l J)) (cos (/ K 2.0)))

simplify7.6s

Counts
45 → 45
Iterations
IterNodes
done5004
33002
2556
1147
064

prune756.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize187.0ms

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)))

rewrite58.0ms

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×add-cbrt-cube insert-posit16 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 → 77
Calls
4 calls:
38.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
5.0ms
(cbrt (cos (/ K 2.0)))
5.0ms
(cbrt (cos (/ K 2.0)))
6.0ms
(cbrt (cos (/ K 2.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
549.0ms
(* (cbrt (cos (/ K 2.0))) (cbrt (cos (/ K 2.0))))
267.0ms
(cbrt (cos (/ K 2.0)))
269.0ms
(cbrt (cos (/ K 2.0)))
281.0ms
(cbrt (cos (/ K 2.0)))

simplify5.2s

Counts
89 → 89
Iterations
IterNodes
done5001
42058
3769
2332
1154
072

prune1.5s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize193.0ms

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)))

rewrite385.0ms

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×pow-exp insert-posit16 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 → 98
Calls
4 calls:
113.0ms
(* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3))
238.0ms
(* (* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3)) (cbrt (cos (/ K 2.0))))
23.0ms
(* (cos (/ K 2.0)) (cos (/ K 2.0)))
6.0ms
(cbrt (cos (/ K 2.0)))

series891.0ms

Counts
4 → 12
Calls
4 calls:
373.0ms
(* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3))
149.0ms
(* (* (+ (* l J) (* l J)) (pow (* (cos (/ K 2.0)) (cos (/ K 2.0))) 1/3)) (cbrt (cos (/ K 2.0))))
81.0ms
(* (cos (/ K 2.0)) (cos (/ K 2.0)))
288.0ms
(cbrt (cos (/ K 2.0)))

simplify4.2s

Counts
110 → 110
Iterations
IterNodes
done5000
21599
1423
0161

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes2.2s

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done14
114
011

end0.0ms

sample8.9s

Algorithm
intervals
Results
2.7s2733×body1280valid
2.5s2729×body640valid
1.4s8506×body80valid
1.2s1443×body320valid
240.0ms832×body160valid