Details

Time bar (total: 24.6s)

sample327.0ms

Algorithm
intervals
Results
100.0ms78×body1280valid
88.0ms272×body80valid
70.0ms70×body640valid
27.0ms45×body320valid
15.0ms26×body160valid

simplify239.0ms

Calls
1 calls:
Slowest
239.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.1b

localize53.0ms

Local error

Found 3 expressions with local error:

6.4b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
5×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×associate-*r/
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 associate-*l* pow-prod-down prod-exp cbrt-unprod
Calls
3 calls:
Slowest
18.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
11.0ms
(* J (- (exp l) (exp (- l))))
6.0ms
(- (exp l) (exp (- l)))

series245.0ms

Calls
3 calls:
Slowest
106.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
75.0ms
(* J (- (exp l) (exp (- l))))
65.0ms
(- (exp l) (exp (- l)))

simplify2.1s

Calls
32 calls:
Slowest
216.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))
202.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
183.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
170.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
162.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))

prune908.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.1b
(* l (* 1/3 l))
0.1b
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
0.1b
(* (pow l 5) 1/60)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
4×associate-*r* associate-*l* *-commutative insert-posit16 add-log-exp
2×associate-*l/ associate-*r/
1×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
Calls
4 calls:
Slowest
38.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
5.0ms
(* (pow l 5) 1/60)
2.0ms
(* l (* 1/3 l))
1.0ms
(* 1/3 l)

series176.0ms

Calls
4 calls:
Slowest
128.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
29.0ms
(* (pow l 5) 1/60)
11.0ms
(* l (* 1/3 l))
8.0ms
(* 1/3 l)

simplify2.0s

Calls
22 calls:
Slowest
483.0ms
(* (* (* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
337.0ms
(+ (log (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (log (cos (/ K 2))))
294.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
212.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
204.0ms
(* (* J (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3))) (cos (/ K 2)))

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.1b
(* l (* 1/3 l))
0.1b
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
0.1b
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
5×associate-*r*
4×associate-*l/ *-commutative insert-posit16 add-log-exp
3×associate-*l*
2×flip3-+ associate-*r/ flip-+
1×pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
23.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
18.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
1.0ms
(* l (* 1/3 l))
0.0ms
(* 1/3 l)

series270.0ms

Calls
4 calls:
Slowest
164.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
87.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
11.0ms
(* l (* 1/3 l))
9.0ms
(* 1/3 l)

simplify3.0s

Calls
25 calls:
Slowest
449.0ms
(* (* (* (+ (* (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) (* l (+ (* l (* 1/3 l)) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
327.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
263.0ms
(+ (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (- (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2))) (* (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))))
231.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
222.0ms
(- (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))

prune1.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))
0.3b
(cbrt (cos (/ K 2)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow1/3
1×*-commutative
Calls
4 calls:
Slowest
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
0.0ms
(* 1/3 l)

series485.0ms

Calls
4 calls:
Slowest
167.0ms
(cbrt (cos (/ K 2)))
163.0ms
(cbrt (cos (/ K 2)))
148.0ms
(cbrt (cos (/ K 2)))
7.0ms
(* 1/3 l)

simplify530.0ms

Calls
21 calls:
Slowest
153.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
136.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
117.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
11.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
11.0ms
(pow (cos (* 1/2 K)) 1/3)

prune1.6s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes753.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample9.7s

Algorithm
intervals
Results
3.3s2657×body1280valid
2.6s2671×body640valid
2.3s8430×body80valid
756.0ms1411×body320valid
270.0ms744×body160valid