Details

Time bar (total: 51.9s)

sample268.0ms

Algorithm
intervals
Results
100.0ms79×body1280valid
72.0ms98×body640valid
41.0ms259×body80valid
20.0ms45×body320valid
10.0ms30×body160valid

simplify298.0ms

Calls
1 calls:
Slowest
297.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.9b

localize36.0ms

Local error

Found 3 expressions with local error:

7.8b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
29×*-un-lft-identity
27×prod-diff
25×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
10×pow1 add-cbrt-cube add-exp-log
8×associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod
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 unswap-sqr
Calls
3 calls:
Slowest
71.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
43.0ms
(* J (- (exp l) (exp (- l))))
12.0ms
(- (exp l) (exp (- l)))

series264.0ms

Calls
3 calls:
Slowest
116.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
90.0ms
(* J (- (exp l) (exp (- l))))
57.0ms
(- (exp l) (exp (- l)))

simplify8.8s

Calls
80 calls:
Slowest
627.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
323.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
322.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
304.0ms
(* J (- (exp l) (exp (* -1 l))))
268.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))

prune1.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize63.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*r* add-cube-cbrt
7×associate-*l*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u
3×*-commutative
2×distribute-rgt-in distribute-lft-in unswap-sqr
1×+-commutative sum-log fma-def flip3-+ flip-+
Calls
4 calls:
Slowest
25.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
20.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
6.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
5.0ms
(* l (fma 1/3 (* l l) 2))

series1.3s

Calls
4 calls:
Slowest
592.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
370.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
179.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
149.0ms
(* l (fma 1/3 (* l l) 2))

simplify8.6s

Calls
47 calls:
Slowest
782.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
491.0ms
(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
490.0ms
(fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))
469.0ms
(cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
450.0ms
(+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))))

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity associate-*l* add-cube-cbrt
7×associate-*r*
6×add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×fma-udef unswap-sqr
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+
Calls
4 calls:
Slowest
32.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
16.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
11.0ms
(* l (fma 1/3 (* l l) 2))
11.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))

series910.0ms

Calls
4 calls:
Slowest
395.0ms
(+ (* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))) U)
248.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
155.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
112.0ms
(* l (fma 1/3 (* l l) 2))

simplify8.1s

Calls
44 calls:
Slowest
855.0ms
(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
753.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
542.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
529.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
455.0ms
(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u fma-udef insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in distribute-lft-in
Calls
4 calls:
Slowest
10.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
6.0ms
(* l (fma 1/3 (* l l) 2))
0.0ms
(fma J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))) U)
0.0ms
(fma 1/3 (* l l) 2)

series720.0ms

Calls
4 calls:
Slowest
361.0ms
(fma J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))) U)
159.0ms
(* l (fma 1/3 (* l l) 2))
120.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
81.0ms
(fma 1/3 (* l l) 2)

simplify5.9s

Calls
34 calls:
Slowest
861.0ms
(* (* (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
761.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
528.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
489.0ms
(* (sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (sqrt (cos (/ K 2))))
434.0ms
(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))

prune1.3s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes540.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch4.0ms

end0.0ms

sample10.2s

Algorithm
intervals
Results
4.2s2689×body1280valid
2.6s2672×body640valid
1.5s8288×body80valid
1.2s1418×body320valid
307.0ms736×body160valid