Details

Time bar (total: 39.8s)

sample286.0ms

Algorithm
intervals
Results
97.0ms91×body1280valid
87.0ms86×body640valid
42.0ms273×body80valid
21.0ms46×body320valid
10.0ms32×body160valid

simplify232.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
232.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.7b

localize32.0ms

Local error

Found 4 expressions with local error:

6.0b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
8×associate-*r* add-log-exp
7×add-cube-cbrt
4×associate-*l* pow-prod-down prod-exp associate-*r/ cbrt-unprod insert-posit16
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 75
Calls
4 calls:
Slowest
73.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
51.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
44.0ms
(* J (- (exp l) (exp (- l))))
11.0ms
(- (exp l) (exp (- l)))

series580.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
319.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
126.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
88.0ms
(* J (- (exp l) (exp (- l))))
46.0ms
(- (exp l) (exp (- l)))

simplify5.3s

Counts
46 → 87
Calls
46 calls:
Slowest
678.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
399.0ms
(- (+ U (* (cos (* 1/2 K)) (* (exp l) J))) (* (cos (* 1/2 K)) (* J (exp (* -1 l)))))
354.0ms
(- (+ U (* (exp l) (* (cos (* 1/2 K)) J))) (* (cos (* 1/2 K)) (* J (exp (- l)))))
313.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
308.0ms
(* (exp (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))) (exp U))

prune1.3s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 1/3 l)
0.2b
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))
0.0b
(* (pow l 5) 1/60)

rewrite223.0ms

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
192.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
13.0ms
(* l (* 1/3 l))
10.0ms
(* (pow l 5) 1/60)
5.0ms
(* 1/3 l)

series357.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
216.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
73.0ms
(* (pow l 5) 1/60)
48.0ms
(* l (* 1/3 l))
20.0ms
(* 1/3 l)

simplify5.3s

Counts
58 → 97
Calls
58 calls:
Slowest
840.0ms
(* (* (* (* 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))))
669.0ms
(* (* (* (* 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))))
380.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
359.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))
353.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.7s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite311.0ms

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
150.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
122.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
27.0ms
(* l (* 1/3 l))
11.0ms
(* 1/3 l)

series410.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
227.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
130.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
30.0ms
(* l (* 1/3 l))
22.0ms
(* 1/3 l)

simplify8.8s

Counts
52 → 92
Calls
52 calls:
Slowest
692.0ms
(* (* (* 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)))))
604.0ms
(+ (* 1/3 (* (cos (* 1/2 K)) (pow l 3))) (* 1/60 (* (cos (* 1/2 K)) (pow l 5))))
548.0ms
(* (* (* (+ (* 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))))
547.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
528.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))

prune1.4s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize68.0ms

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)))

rewrite17.0ms

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)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
139.0ms
(cbrt (cos (/ K 2)))
130.0ms
(cbrt (cos (/ K 2)))
128.0ms
(cbrt (cos (/ K 2)))
21.0ms
(* 1/3 l)

simplify1.1s

Counts
30 → 67
Calls
30 calls:
Slowest
204.0ms
(* (* (* 1/3 1/3) 1/3) (* (* l l) l))
166.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
165.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
163.0ms
(- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
54.0ms
(pow (cos (* 1/2 K)) 1/3)

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes594.0ms

Accuracy

0% (0.3b remaining)

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

bsearch8.0ms

end0.0ms

sample9.8s

Algorithm
intervals
Results
4.0s2659×body1280valid
2.1s2653×body640valid
2.1s8275×body80valid
747.0ms1424×body320valid
349.0ms777×body160valid