Details

Time bar (total: 25.3s)

sample244.0ms

Algorithm
intervals
Results
78.0ms85×body1280valid
72.0ms73×body640valid
53.0ms261×body80valid
15.0ms36×body320valid
5.0ms18×body160valid

simplify224.0ms

Calls
1 calls:
Slowest
224.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.7b

localize22.0ms

Local error

Found 4 expressions with local error:

7.6b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
8×associate-*r*
6×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
4×associate-*r/ insert-posit16
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ diff-log associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
Calls
4 calls:
Slowest
35.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
20.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
17.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(- (exp l) (exp (- l)))

series458.0ms

Calls
4 calls:
Slowest
214.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
107.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
70.0ms
(* J (- (exp l) (exp (- l))))
66.0ms
(- (exp l) (exp (- l)))

simplify2.8s

Calls
35 calls:
Slowest
329.0ms
(- (+ U (* (exp l) (* (cos (* 1/2 K)) J))) (* (cos (* 1/2 K)) (* J (exp (- l)))))
274.0ms
(- (+ U (* (cos (* 1/2 K)) (* (exp l) J))) (* (cos (* 1/2 K)) (* J (exp (* -1 l)))))
189.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
188.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
181.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune988.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

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
34.0ms
(* (* 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)

series187.0ms

Calls
4 calls:
Slowest
141.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
21.0ms
(* (pow l 5) 1/60)
14.0ms
(* l (* 1/3 l))
12.0ms
(* 1/3 l)

simplify1.9s

Calls
22 calls:
Slowest
408.0ms
(* (* (* (* 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))))
315.0ms
(+ (log (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (log (cos (/ K 2))))
311.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
208.0ms
(* (* J (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3))) (cos (/ K 2)))
187.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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
28.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
23.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
3.0ms
(* l (* 1/3 l))
1.0ms
(* 1/3 l)

series261.0ms

Calls
4 calls:
Slowest
163.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
68.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
17.0ms
(* l (* 1/3 l))
12.0ms
(* 1/3 l)

simplify3.0s

Calls
25 calls:
Slowest
429.0ms
(* (* (* (+ (* (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))))
390.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
246.0ms
(+ (* (* (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)))))
237.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
217.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 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)

series514.0ms

Calls
4 calls:
Slowest
179.0ms
(cbrt (cos (/ K 2)))
164.0ms
(cbrt (cos (/ K 2)))
163.0ms
(cbrt (cos (/ K 2)))
7.0ms
(* 1/3 l)

simplify547.0ms

Calls
21 calls:
Slowest
155.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
137.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
107.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
12.0ms
(pow (cos (* 1/2 K)) 1/3)
11.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))

prune973.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes698.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample10.2s

Algorithm
intervals
Results
3.9s2761×body1280valid
2.6s2553×body640valid
1.6s8301×body80valid
907.0ms1438×body320valid
680.0ms773×body160valid