Details

Time bar (total: 24.5s)

sample294.0ms

Algorithm
intervals
Results
101.0ms83×body640valid
101.0ms83×body1280valid
41.0ms234×body80valid
23.0ms40×body320valid
8.0ms20×body160valid

simplify620.0ms

Calls
1 calls:
Slowest
620.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.8b

localize51.0ms

Local error

Found 3 expressions with local error:

5.5b
(- (exp l) (exp (- l)))
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))

rewrite62.0ms

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
34.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
17.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(- (exp l) (exp (- l)))

series263.0ms

Calls
3 calls:
Slowest
136.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
75.0ms
(* J (- (exp l) (exp (- l))))
52.0ms
(- (exp l) (exp (- l)))

simplify2.2s

Calls
32 calls:
Slowest
208.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
191.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
170.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))
167.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
155.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))

prune830.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize49.0ms

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)

rewrite29.0ms

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
24.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
2.0ms
(* (pow l 5) 1/60)
1.0ms
(* l (* 1/3 l))
0.0ms
(* 1/3 l)

series405.0ms

Calls
4 calls:
Slowest
260.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
76.0ms
(* (pow l 5) 1/60)
53.0ms
(* l (* 1/3 l))
16.0ms
(* 1/3 l)

simplify1.8s

Calls
22 calls:
Slowest
455.0ms
(* (* (* (* 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))))
273.0ms
(+ (log (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))))) (log (cos (/ K 2))))
244.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2)))) (cos (/ K 2)))
235.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
187.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune933.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite56.0ms

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
26.0ms
(* 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)))
6.0ms
(* l (* 1/3 l))
1.0ms
(* 1/3 l)

series411.0ms

Calls
4 calls:
Slowest
244.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2))))
110.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
35.0ms
(* l (* 1/3 l))
21.0ms
(* 1/3 l)

simplify3.0s

Calls
25 calls:
Slowest
368.0ms
(* (* (* (+ (* (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))))
333.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
278.0ms
(+ (* (* (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)))))
242.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* l (* 1/3 l)) 2))) (cos (/ K 2)))
206.0ms
(+ (* 1/3 (* (cos (* 1/2 K)) (pow l 3))) (* 1/60 (* (cos (* 1/2 K)) (pow l 5))))

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

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)

series422.0ms

Calls
4 calls:
Slowest
148.0ms
(cbrt (cos (/ K 2)))
131.0ms
(cbrt (cos (/ K 2)))
128.0ms
(cbrt (cos (/ K 2)))
15.0ms
(* 1/3 l)

simplify529.0ms

Calls
21 calls:
Slowest
151.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
145.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
124.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
11.0ms
(cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
10.0ms
(pow (cos (* 1/2 K)) 1/3)

prune1.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes631.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample9.8s

Algorithm
intervals
Results
3.7s2654×body1280valid
2.5s2616×body640valid
1.5s8499×body80valid
1.3s1453×body320valid
272.0ms732×body160valid