Details

Time bar (total: 44.2s)

sample381.0ms

Algorithm
intervals
Results
166.0ms88×body1280valid
78.0ms84×body640valid
69.0ms253×body80valid
28.0ms43×body320valid
10.0ms25×body160valid

simplify271.0ms

Calls
1 calls:
Slowest
270.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.0b

localize46.0ms

Local error

Found 2 expressions with local error:

6.0b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube add-exp-log add-log-exp
3×associate-*r* add-cube-cbrt
2×flip3-- associate-*l/ associate-*r/ insert-posit16 flip--
1×sub-neg diff-log associate-*l* pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
39.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
10.0ms
(- (exp l) (exp (- l)))

series187.0ms

Calls
2 calls:
Slowest
120.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
67.0ms
(- (exp l) (exp (- l)))

simplify2.3s

Calls
18 calls:
Slowest
416.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
363.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
269.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))
254.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
234.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize328.0ms

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)

rewrite48.0ms

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
31.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
10.0ms
(* (pow l 5) 1/60)
3.0ms
(* 1/3 l)
2.0ms
(* l (* 1/3 l))

series347.0ms

Calls
4 calls:
Slowest
263.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
34.0ms
(* (pow l 5) 1/60)
31.0ms
(* 1/3 l)
19.0ms
(* l (* 1/3 l))

simplify3.2s

Calls
22 calls:
Slowest
960.0ms
(* (* (* (* 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))))
544.0ms
(+ (log (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (log (cos (/ K 2))))
400.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
316.0ms
(* (* 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)))
281.0ms
(* (* J (+ (pow (* (pow l 5) 1/60) 3) (pow (* l (+ (* l (* 1/3 l)) 2)) 3))) (cos (/ K 2)))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 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)))

rewrite50.0ms

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
25.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
22.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
2.0ms
(* l (* 1/3 l))
0.0ms
(* 1/3 l)

series290.0ms

Calls
4 calls:
Slowest
177.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
84.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
18.0ms
(* l (* 1/3 l))
11.0ms
(* 1/3 l)

simplify5.2s

Calls
25 calls:
Slowest
913.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
689.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
539.0ms
(* (* (* (+ (* (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))))
310.0ms
(+ (log (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (log (cos (/ K 2))))
298.0ms
(+ (* (* (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)))))

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

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
2.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
0.0ms
(* 1/3 l)

series667.0ms

Calls
4 calls:
Slowest
264.0ms
(cbrt (cos (/ K 2)))
197.0ms
(cbrt (cos (/ K 2)))
193.0ms
(cbrt (cos (/ K 2)))
12.0ms
(* 1/3 l)

simplify747.0ms

Calls
21 calls:
Slowest
195.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
191.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
191.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
13.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
12.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes1.3s

Accuracy

0% (0.4b remaining)

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

bsearch6.0ms

end0.0ms

sample22.0s

Algorithm
intervals
Results
12.2s2645×body1280valid
3.8s2636×body640valid
3.4s8224×body80valid
1.6s1420×body320valid
419.0ms776×body160valid