Details

Time bar (total: 27.7s)

sample162.0ms

Algorithm
intervals
Results
42.0ms79×body1280valid
33.0ms280×body80valid
30.0ms77×body640valid
12.0ms48×body320valid
4.0ms24×body160valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5002
62572
5534
4198
382
241
123
014

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize23.0ms

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)))
5.9b
(- (exp l) (exp (- l)))

rewrite160.0ms

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-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 60
Calls
3 calls:
69.0ms
(* J (- (exp l) (exp (- l))))
77.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
11.0ms
(- (exp l) (exp (- l)))

series292.0ms

Counts
3 → 9
Calls
3 calls:
94.0ms
(* J (- (exp l) (exp (- l))))
125.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
74.0ms
(- (exp l) (exp (- l)))

simplify1.4s

Counts
69 → 69
Iterations
IterNodes
done5002
21402
1287
0113

prune494.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow l 5))
0.1b
(* (* 1/3 l) (* l l))
0.1b
(* (* J (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))
0.3b
(* 1/3 l)

rewrite350.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log
25×add-cbrt-cube
23×pow1
17×add-sqr-sqrt
15×prod-exp
14×associate-*r*
13×cbrt-unprod
12×pow-prod-down
10×*-un-lft-identity add-cube-cbrt
8×associate-*l*
4×unpow-prod-down *-commutative add-log-exp unswap-sqr
2×associate-*l/ associate-*r/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 85
Calls
4 calls:
20.0ms
(* 1/60 (pow l 5))
36.0ms
(* (* 1/3 l) (* l l))
279.0ms
(* (* J (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))
11.0ms
(* 1/3 l)

series417.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(* 1/60 (pow l 5))
54.0ms
(* (* 1/3 l) (* l l))
246.0ms
(* (* J (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))
27.0ms
(* 1/3 l)

simplify2.0s

Counts
97 → 97
Iterations
IterNodes
done5000
22195
1444
0163

prune719.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b
(* J (* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0))))
0.1b
(* (* 1/3 l) (* l l))
0.1b
(* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0)))
0.3b
(* 1/3 l)

rewrite652.0ms

Algorithm
rewrite-expression-head
Rules
25×pow1 add-cbrt-cube add-exp-log
13×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
10×associate-*l*
9×*-un-lft-identity add-cube-cbrt
8×associate-*r*
4×associate-*l/ *-commutative add-log-exp
2×flip3-+ associate-*r/ flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
304.0ms
(* J (* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0))))
37.0ms
(* (* 1/3 l) (* l l))
303.0ms
(* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0)))
6.0ms
(* 1/3 l)

series474.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(* J (* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0))))
71.0ms
(* (* 1/3 l) (* l l))
139.0ms
(* (+ (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))) (cos (/ K 2.0)))
17.0ms
(* 1/3 l)

simplify2.0s

Counts
92 → 92
Iterations
IterNodes
done5001
21985
1401
0149

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize136.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.3b
(* 1/3 l)
7.5b
(* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0))))
17.3b
(/ (* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))) (- (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
15×add-sqr-sqrt
13×pow1
11×*-un-lft-identity add-cube-cbrt
9×associate-*l*
8×prod-exp cbrt-unprod
7×associate-*r*
5×pow-prod-down
4×associate-*l/ associate-*r/ add-log-exp
3×cbrt-undiv associate-/r* times-frac flip3-- div-exp *-commutative flip--
2×associate-/r/ unswap-sqr associate-/l/
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 83
Calls
4 calls:
5.0ms
(* 1/3 l)
5.0ms
(* 1/3 l)
790.0ms
(* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0))))
720.0ms
(/ (* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))) (- (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))))

series880.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* 1/3 l)
24.0ms
(* 1/3 l)
320.0ms
(* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0))))
520.0ms
(/ (* J (* (- (* (* (* 1/3 l) (* l l)) (* (* 1/3 l) (* l l))) (* (+ (* 1/60 (pow l 5)) (+ l l)) (+ (* 1/60 (pow l 5)) (+ l l)))) (cos (/ K 2.0)))) (- (* (* 1/3 l) (* l l)) (+ (* 1/60 (pow l 5)) (+ l l))))

simplify2.6s

Counts
95 → 95
Iterations
IterNodes
done5000
22830
1488
0165

prune923.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes983.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done29
129
021

end0.0ms

sample8.3s

Algorithm
intervals
Results
3.0s2726×body1280valid
2.2s2698×body640valid
1.3s8322×body80valid
563.0ms1438×body320valid
234.0ms762×body160valid