Details

Time bar (total: 38.4s)

sample271.0ms

Algorithm
intervals
Results
134.0ms101×body1280valid
54.0ms86×body640valid
36.0ms258×body80valid
16.0ms38×body320valid
8.0ms27×body160valid

simplify199.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
199.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.2b

localize49.0ms

Local error

Found 3 expressions with local error:

8.5b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
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 unswap-sqr
Counts
3 → 63
Calls
3 calls:
Slowest
56.0ms
(* J (- (exp l) (exp (- l))))
50.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
11.0ms
(- (exp l) (exp (- l)))

series267.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
131.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
69.0ms
(* J (- (exp l) (exp (- l))))
66.0ms
(- (exp l) (exp (- l)))

simplify4.1s

Counts
42 → 72
Calls
42 calls:
Slowest
552.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
312.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
308.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
277.0ms
(* (* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
264.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))

prune960.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.2b
(* l (* 1/3 l))
0.2b
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.0b
(* (pow l 5) 1/60)

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt add-cbrt-cube
16×pow1
14×associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×associate-*r* prod-exp
8×cbrt-unprod
7×pow-prod-down
4×unpow-prod-down *-commutative insert-posit16 add-log-exp unswap-sqr
2×associate-*l/ associate-*r/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 85
Calls
4 calls:
Slowest
163.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
22.0ms
(* l (* 1/3 l))
14.0ms
(* (pow l 5) 1/60)
8.0ms
(* 1/3 l)

series364.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
233.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
69.0ms
(* (pow l 5) 1/60)
39.0ms
(* l (* 1/3 l))
22.0ms
(* 1/3 l)

simplify5.4s

Counts
58 → 97
Calls
58 calls:
Slowest
829.0ms
(* (* (* (* J J) J) (* (* (+ (* 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)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
681.0ms
(* (* (* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
379.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
368.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
356.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.2b
(* l (* 1/3 l))
0.1b
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
0.1b
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*l*
10×*-un-lft-identity add-cube-cbrt
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×associate-*l/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*r/ flip-+ unswap-sqr
Counts
4 → 80
Calls
4 calls:
Slowest
169.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
108.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
17.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)

series461.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
261.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
124.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
49.0ms
(* l (* 1/3 l))
27.0ms
(* 1/3 l)

simplify8.7s

Counts
52 → 92
Calls
52 calls:
Slowest
1.1s
(* (* (* J J) J) (* (* (* (+ (* 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)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
596.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))
541.0ms
(* (* (* J J) J) (* (* (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))) (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))))
535.0ms
(* (* (* (+ (* 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)) (* (pow l 5) 1/60))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
512.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize100.0ms

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)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×cbrt-prod *-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube add-exp-log
4×insert-posit16 add-log-exp
3×pow1/3 associate-*r* associate-*l*
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 55
Calls
4 calls:
Slowest
11.0ms
(* 1/3 l)
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))
2.0ms
(cbrt (cos (/ K 2)))

series460.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
162.0ms
(cbrt (cos (/ K 2)))
155.0ms
(cbrt (cos (/ K 2)))
118.0ms
(cbrt (cos (/ K 2)))
25.0ms
(* 1/3 l)

simplify1.0s

Counts
30 → 67
Calls
30 calls:
Slowest
184.0ms
(* (* (* 1/3 1/3) 1/3) (* (* l l) l))
166.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
142.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
112.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
57.0ms
(pow (cos (* 1/2 K)) 1/3)

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes554.0ms

Accuracy

0% (0.4b remaining)

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

bsearch4.0ms

end0.0ms

sample10.4s

Algorithm
intervals
Results
3.4s2617×body640valid
3.4s2748×body1280valid
1.7s8371×body80valid
978.0ms1436×body320valid
304.0ms790×body160valid