Details

Time bar (total: 43.7s)

sample274.0ms

Algorithm
intervals
Results
97.0ms83×body640valid
91.0ms83×body1280valid
39.0ms234×body80valid
20.0ms40×body320valid
6.0ms20×body160valid

simplify280.0ms

Calls
1 calls:
Slowest
279.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.9b

localize25.0ms

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)))

rewrite202.0ms

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
97.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
78.0ms
(* J (- (exp l) (exp (- l))))
24.0ms
(- (exp l) (exp (- l)))

series267.0ms

Calls
3 calls:
Slowest
122.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
76.0ms
(* J (- (exp l) (exp (- l))))
69.0ms
(- (exp l) (exp (- l)))

simplify9.0s

Calls
80 calls:
Slowest
639.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
351.0ms
(* J (- (exp l) (exp (* -1 l))))
331.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
313.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
296.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize41.0ms

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
(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)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-udef
2×*-commutative
1×distribute-rgt-in +-commutative sum-log fma-def distribute-lft-in flip3-+ flip-+ unswap-sqr
Calls
4 calls:
Slowest
28.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
27.0ms
(+ (* (* 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))
0.0ms
(fma 1/3 (* l l) 2)

series707.0ms

Calls
4 calls:
Slowest
309.0ms
(+ (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2))) U)
227.0ms
(* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cos (/ K 2)))
107.0ms
(* l (fma 1/3 (* l l) 2))
65.0ms
(fma 1/3 (* l l) 2)

simplify4.2s

Calls
35 calls:
Slowest
725.0ms
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
373.0ms
(* (* (* (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
363.0ms
(* (* (* (* J J) J) (* (* (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))))
361.0ms
(* J (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
240.0ms
(+ (+ (log J) (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))) (log (cos (/ K 2))))

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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))))
0.1b
(* (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
(fma 1/3 (* l l) 2)

rewrite39.0ms

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*
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative fma-udef
2×unswap-sqr
1×distribute-rgt-in distribute-lft-in
Calls
4 calls:
Slowest
25.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
7.0ms
(* (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 1/3 (* l l) 2)

series537.0ms

Calls
4 calls:
Slowest
229.0ms
(* J (* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2))))
126.0ms
(* (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))) (cos (/ K 2)))
102.0ms
(* l (fma 1/3 (* l l) 2))
79.0ms
(fma 1/3 (* l l) 2)

simplify8.3s

Calls
43 calls:
Slowest
1.1s
(* (* (* l l) l) (* (* (fma 1/3 (* l l) 2) (fma 1/3 (* l l) 2)) (fma 1/3 (* l l) 2)))
875.0ms
(* (* (* (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))))
584.0ms
(+ (log (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (log (cos (/ K 2))))
509.0ms
(sqrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2))))
495.0ms
(* (cbrt (fma 1/60 (pow l 5) (* l (fma 1/3 (* l l) 2)))) (cbrt (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: 0b

localize72.0ms

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)))
0.2b
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Calls
4 calls:
Slowest
9.0ms
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))
1.0ms
(cbrt (cos (/ K 2)))

series676.0ms

Calls
4 calls:
Slowest
228.0ms
(* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))
156.0ms
(cbrt (cos (/ K 2)))
150.0ms
(cbrt (cos (/ K 2)))
142.0ms
(cbrt (cos (/ K 2)))

simplify2.2s

Calls
65 calls:
Slowest
436.0ms
(- 1 (+ (* 1/25920 (pow K 6)) (* 1/12 (pow K 2))))
202.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
201.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
192.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
177.0ms
(pow (pow (cos (* 1/2 K)) 2) 1/3)

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes690.0ms

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample10.1s

Algorithm
intervals
Results
3.5s2616×body640valid
3.4s2654×body1280valid
1.6s8499×body80valid
865.0ms1453×body320valid
314.0ms732×body160valid