Details

Time bar (total: 41.7s)

sample295.0ms

Algorithm
intervals
Results
100.0ms83×body1280valid
79.0ms76×body640valid
51.0ms300×body80valid
23.0ms43×body320valid
9.0ms24×body160valid

simplify237.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
237.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize24.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite122.0ms

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
72.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
39.0ms
(* J (- (exp l) (exp (- l))))
10.0ms
(- (exp l) (exp (- l)))

series274.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
138.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
84.0ms
(* J (- (exp l) (exp (- l))))
52.0ms
(- (exp l) (exp (- l)))

simplify4.2s

Counts
42 → 72
Calls
42 calls:
Slowest
747.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
310.0ms
(* (* (* (* J (- (exp l) (exp (- l)))) (* J (- (exp l) (exp (- l))))) (* J (- (exp l) (exp (- l))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
302.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
288.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
285.0ms
(* J (- (exp l) (exp (* -1 l))))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 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
(* (pow l 5) 1/60)

rewrite157.0ms

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
128.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
14.0ms
(* l (* 1/3 l))
8.0ms
(* (pow l 5) 1/60)
5.0ms
(* 1/3 l)

series358.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
240.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
69.0ms
(* (pow l 5) 1/60)
32.0ms
(* l (* 1/3 l))
17.0ms
(* 1/3 l)

simplify5.3s

Counts
58 → 97
Calls
58 calls:
Slowest
901.0ms
(* (* (* (* 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))))
742.0ms
(* (* (* (* 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))))
377.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
347.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
245.0ms
(* (* (* l l) l) (* (* (* 1/3 l) (* 1/3 l)) (* 1/3 l)))

prune1.5s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 1/3 l)
0.1b
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))
0.1b
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))

rewrite291.0ms

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
149.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
110.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
22.0ms
(* l (* 1/3 l))
10.0ms
(* 1/3 l)

series444.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
247.0ms
(* 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)))
51.0ms
(* l (* 1/3 l))
17.0ms
(* 1/3 l)

simplify8.2s

Counts
52 → 92
Calls
52 calls:
Slowest
626.0ms
(* (* (* 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)))))
551.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
545.0ms
(* (* (* 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)))))
522.0ms
(sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
510.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.5b
(log (exp (* l (* 1/3 l))))
0.3b
(* 1/3 l)
0.1b
(* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1
16×add-cbrt-cube add-exp-log
11×add-sqr-sqrt
9×*-un-lft-identity add-cube-cbrt
7×associate-*r* associate-*l* pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
4×insert-posit16
3×log-prod log-pow *-commutative
2×associate-*l/ associate-*r/
1×exp-prod flip3-+ exp-to-pow rem-log-exp flip-+ unswap-sqr
Counts
4 → 74
Calls
4 calls:
Slowest
67.0ms
(* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
13.0ms
(* l (* 1/3 l))
8.0ms
(log (exp (* l (* 1/3 l))))
5.0ms
(* 1/3 l)

series281.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
196.0ms
(* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
35.0ms
(* l (* 1/3 l))
28.0ms
(log (exp (* l (* 1/3 l))))
21.0ms
(* 1/3 l)

simplify5.4s

Counts
45 → 86
Calls
45 calls:
Slowest
1.1s
(* (* (* (* J J) J) (* (* (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)) (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
736.0ms
(* (* (* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)))) (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
440.0ms
(* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
424.0ms
(* (* J (+ (pow (* l (+ (log (exp (* l (* 1/3 l)))) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))
391.0ms
(* (* J (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes376.0ms

Accuracy

0% (0.0b remaining)

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

bsearch4.0ms

end0.0ms

sample10.1s

Algorithm
intervals
Results
3.7s2595×body1280valid
2.6s2616×body640valid
2.1s8518×body80valid
800.0ms1435×body320valid
311.0ms749×body160valid