Details

Time bar (total: 32.4s)

sample235.0ms

Algorithm
intervals
Results
69.0ms78×body1280valid
51.0ms45×body320valid
49.0ms70×body640valid
36.0ms272×body80valid
7.0ms26×body160valid

simplify286.0ms

Calls
1 calls:
Slowest
285.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize47.0ms

Local error

Found 3 expressions with local error:

6.4b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
8×associate-*r*
5×pow1 add-cbrt-cube add-exp-log add-log-exp
4×associate-*r/
3×expm1-log1p-u sub-neg flip3-- fma-neg insert-posit16 log1p-expm1-u flip--
2×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
22.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
11.0ms
(- (exp l) (exp (- l)))
10.0ms
(* J (- (exp l) (exp (- l))))

series261.0ms

Calls
3 calls:
Slowest
129.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
68.0ms
(* J (- (exp l) (exp (- l))))
64.0ms
(- (exp l) (exp (- l)))

simplify5.7s

Calls
70 calls:
Slowest
247.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (* -1 l)))))
231.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))
231.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
220.0ms
(* (cos (* 1/2 K)) (* J (- (exp l) (exp (- l)))))
211.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (cos (/ K 2)))
0.0b
(* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)))
0.0b
(* (fma 1/3 (* l l) 2) l)
0.0b
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube associate-*r* add-exp-log
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
7.0ms
(* (* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (cos (/ K 2)))
3.0ms
(* (fma 1/3 (* l l) 2) l)
1.0ms
(* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)))
0.0ms
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))

series300.0ms

Calls
4 calls:
Slowest
168.0ms
(* (* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (cos (/ K 2)))
72.0ms
(* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)))
32.0ms
(* (fma 1/3 (* l l) 2) l)
28.0ms
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))

simplify3.4s

Calls
25 calls:
Slowest
497.0ms
(* (* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (cos (/ K 2)))
378.0ms
(+ (* 1/3 (* J (pow l 3))) (+ (* 2 (* J l)) (* 1/60 (* J (pow l 5)))))
313.0ms
(+ (log (* J (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)))) (log (cos (/ K 2))))
244.0ms
(+ (* 1/3 (* J (pow l 3))) (+ (* 2 (* J l)) (* 1/60 (* J (pow l 5)))))
217.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (* 1/60 (pow l 5)) J)
0.1b
(* (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)) (cos (/ K 2)))
0.1b
(* 1/60 (pow l 5))
0.0b
(* (* (fma 1/3 (* l l) 2) l) J)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u *-commutative insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/
1×flip3-+ distribute-rgt-out pow-prod-down prod-exp cbrt-unprod flip-+
Calls
4 calls:
Slowest
24.0ms
(* (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)) (cos (/ K 2)))
14.0ms
(* (* (fma 1/3 (* l l) 2) l) J)
4.0ms
(* (* 1/60 (pow l 5)) J)
3.0ms
(* 1/60 (pow l 5))

series183.0ms

Calls
4 calls:
Slowest
107.0ms
(* (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)) (cos (/ K 2)))
33.0ms
(* (* 1/60 (pow l 5)) J)
23.0ms
(* (* (fma 1/3 (* l l) 2) l) J)
20.0ms
(* 1/60 (pow l 5))

simplify2.9s

Calls
26 calls:
Slowest
602.0ms
(* (* (* (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)) (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J))) (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
252.0ms
(* (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)) (cos (/ K 2)))
238.0ms
(+ (log (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J))) (log (cos (/ K 2))))
233.0ms
(sqrt (+ (* (* 1/60 (pow l 5)) J) (* (* (fma 1/3 (* l l) 2) l) J)))
213.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(* J (* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2))))
0.1b
(* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2)))
0.0b
(* (fma 1/3 (* l l) 2) l)
0.0b
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow1 add-cbrt-cube associate-*l* add-exp-log
4×expm1-log1p-u associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
1×pow-prod-down prod-exp cbrt-unprod fma-udef
Calls
4 calls:
Slowest
7.0ms
(* J (* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2))))
5.0ms
(* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2)))
3.0ms
(* (fma 1/3 (* l l) 2) l)
0.0ms
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))

series286.0ms

Calls
4 calls:
Slowest
152.0ms
(* J (* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2))))
61.0ms
(* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2)))
41.0ms
(fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))
33.0ms
(* (fma 1/3 (* l l) 2) l)

simplify3.0s

Calls
23 calls:
Slowest
719.0ms
(* (* (* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
332.0ms
(- (+ (* 1/3 (pow l 3)) (* 2 l)) (* 1/4 (* (pow K 2) l)))
283.0ms
(* (fma 1/60 (pow l 5) (* (fma 1/3 (* l l) 2) l)) (cos (/ K 2)))
224.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))
199.0ms
(+ (* 1/60 (* (cos (* 1/2 K)) (* J (pow l 5)))) (* 1/3 (* (cos (* 1/2 K)) (* J (pow l 3)))))

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes502.0ms

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample9.9s

Algorithm
intervals
Results
3.3s2657×body1280valid
2.9s8430×body80valid
2.3s2671×body640valid
795.0ms1411×body320valid
233.0ms744×body160valid