Details

Time bar (total: 36.6s)

sample254.0ms

Algorithm
intervals
Results
83.0ms82×body1280valid
64.0ms92×body640valid
58.0ms292×body80valid
14.0ms30×body320valid
10.0ms32×body160valid

simplify644.0ms

Calls
1 calls:
Slowest
644.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.8b

localize25.0ms

Local error

Found 3 expressions with local error:

6.9b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite53.0ms

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
36.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
9.0ms
(* J (- (exp l) (exp (- l))))
7.0ms
(- (exp l) (exp (- l)))

series248.0ms

Calls
3 calls:
Slowest
116.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
83.0ms
(* J (- (exp l) (exp (- l))))
48.0ms
(- (exp l) (exp (- l)))

simplify2.3s

Calls
32 calls:
Slowest
232.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
221.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
195.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))
194.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
177.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))

prune756.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 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)

rewrite41.0ms

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
35.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
3.0ms
(* (pow l 5) 1/60)
2.0ms
(* l (* 1/3 l))
1.0ms
(* 1/3 l)

series338.0ms

Calls
4 calls:
Slowest
229.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
66.0ms
(* (pow l 5) 1/60)
27.0ms
(* l (* 1/3 l))
16.0ms
(* 1/3 l)

simplify2.0s

Calls
22 calls:
Slowest
482.0ms
(* (* (* (* 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))))
325.0ms
(+ (log (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (log (cos (/ K 2))))
258.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
253.0ms
(* (* J (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3))) (cos (/ K 2)))
190.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune942.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

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
13.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
11.0ms
(* (+ (* (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)

series472.0ms

Calls
4 calls:
Slowest
232.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
155.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
53.0ms
(* l (* 1/3 l))
31.0ms
(* 1/3 l)

simplify2.9s

Calls
25 calls:
Slowest
414.0ms
(* (* (* (+ (* (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))))
329.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
244.0ms
(+ (* (* (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)))))
233.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
216.0ms
(- (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))

prune909.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

19.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
19.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
19.0b
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
0.5b
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/ associate-*r/
18×cbrt-div
9×pow1 flip3-+ flip-+
7×pow1/3
6×add-sqr-sqrt *-un-lft-identity add-exp-log add-cube-cbrt
5×cbrt-prod
4×frac-times add-cbrt-cube associate-*r* associate-*l* insert-posit16 add-log-exp
2×pow-prod-down pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
69.0ms
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))))
9.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
7.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
7.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))

series1.6s

Calls
4 calls:
Slowest
433.0ms
(* (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))) (cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))))
416.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
411.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))
346.0ms
(cbrt (* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))))

simplify10.6s

Calls
49 calls:
Slowest
438.0ms
(* (cbrt (* J (* (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3)) (cos (/ K 2))))) (cbrt (* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2))))))
384.0ms
(+ (* 40/3 (/ (exp (* 1/3 (- (log (* 1/3600 (pow (cos (* 1/2 K)) 2))) (+ (* 10 (log (/ -1 l))) (* 2 (log (/ -1 J))))))) (pow l 2))) (exp (* 1/3 (- (log (* 1/3600 (pow (cos (* 1/2 K)) 2))) (+ (* 10 (log (/ -1 l))) (* 2 (log (/ -1 J))))))))
372.0ms
(- (+ (exp (* 1/3 (+ (* 2 (log J)) (+ (* 2 (log l)) (log 4))))) (* 1/9 (* (exp (* 1/3 (+ (* 2 (log J)) (+ (* 2 (log l)) (log 4))))) (pow l 2)))) (* 1/12 (* (pow K 2) (exp (* 1/3 (+ (* 2 (log J)) (+ (* 2 (log l)) (log 4))))))))
362.0ms
(* (cbrt (* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* l (* 1/3 l)) 2)) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2))))) (cbrt (* J (* (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3)) (cos (/ K 2))))))
332.0ms
(+ (* 40/3 (/ (exp (* 1/3 (- (log (* 1/3600 (pow (cos (* 1/2 K)) 2))) (+ (* 10 (log (/ 1 l))) (* 2 (log (/ 1 J))))))) (pow l 2))) (exp (* 1/3 (- (log (* 1/3600 (pow (cos (* 1/2 K)) 2))) (+ (* 10 (log (/ 1 l))) (* 2 (log (/ 1 J))))))))

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes461.0ms

Accuracy

0% (0.4b remaining)

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

bsearch6.0ms

end0.0ms

sample10.3s

Algorithm
intervals
Results
4.3s2633×body1280valid
2.2s2496×body640valid
1.6s8485×body80valid
1.1s1453×body320valid
710.0ms794×body160valid