Details

Time bar (total: 38.5s)

sample238.0ms

Algorithm
intervals
Results
71.0ms66×body1280valid
52.0ms89×body640valid
40.0ms292×body80valid
15.0ms38×body320valid
8.0ms31×body160valid

simplify544.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
544.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.8b

localize48.0ms

Local error

Found 3 expressions with local error:

3.6b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite137.0ms

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:
Slowest
63.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
46.0ms
(* J (- (exp l) (exp (- l))))
27.0ms
(- (exp l) (exp (- l)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
133.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
69.0ms
(* J (- (exp l) (exp (- l))))
48.0ms
(- (exp l) (exp (- l)))

simplify4.2s

Counts
42 → 72
Calls
42 calls:
Slowest
655.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
281.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
281.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
274.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
245.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))

prune881.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.1b
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))
0.0b
(* (pow l 5) 1/60)

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt add-cbrt-cube
16×pow1
14×associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×associate-*r* prod-exp
8×cbrt-unprod
7×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 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:
Slowest
168.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
13.0ms
(* (pow l 5) 1/60)
13.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)

series380.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
64.0ms
(* (pow l 5) 1/60)
49.0ms
(* l (* 1/3 l))
29.0ms
(* 1/3 l)

simplify5.2s

Counts
58 → 97
Calls
58 calls:
Slowest
741.0ms
(* (* (* (* J J) J) (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
620.0ms
(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
420.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
405.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
296.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.1b
(* l (* 1/3 l))
0.1b
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
0.1b
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))

rewrite289.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*l*
10×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×associate-*l/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*r/ flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
Slowest
165.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
102.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
16.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)

series449.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
159.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
36.0ms
(* l (* 1/3 l))
16.0ms
(* 1/3 l)

simplify8.3s

Counts
52 → 92
Calls
52 calls:
Slowest
684.0ms
(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
585.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))
541.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
518.0ms
(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))))
516.0ms
(sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))

prune1.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(* (cbrt J) (cbrt J))

rewrite19.0ms

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:
Slowest
14.0ms
(* (cbrt J) (cbrt J))
1.0ms
(cbrt J)
1.0ms
(cbrt J)
1.0ms
(cbrt J)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
304.0ms
(* (cbrt J) (cbrt J))
278.0ms
(cbrt J)
255.0ms
(cbrt J)
241.0ms
(cbrt J)

simplify925.0ms

Counts
63 → 89
Calls
63 calls:
Slowest
124.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
120.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
114.0ms
(* (pow (pow J 2) 1/3) (pow (cbrt -1) 2))
108.0ms
(* (pow (* J -1) 1/3) (cbrt -1))
107.0ms
(* (* (cbrt (cbrt J)) (cbrt (cbrt J))) (* (cbrt (cbrt J)) (cbrt (cbrt J))))

prune1.8s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes382.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch4.0ms

end0.0ms

sample10.1s

Algorithm
intervals
Results
4.3s2659×body1280valid
2.2s2565×body640valid
1.7s8547×body80valid
1.2s1422×body320valid
320.0ms738×body160valid