Details

Time bar (total: 59.1s)

sample365.0ms

Algorithm
intervals
Results
102.0ms80×body1280valid
86.0ms99×body640valid
83.0ms294×body80valid
49.0ms51×body320valid
10.0ms25×body160valid

simplify285.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
284.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.3b

localize56.0ms

Local error

Found 3 expressions with local error:

4.1b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite110.0ms

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
53.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
45.0ms
(* J (- (exp l) (exp (- l))))
11.0ms
(- (exp l) (exp (- l)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
143.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
84.0ms
(* J (- (exp l) (exp (- l))))
50.0ms
(- (exp l) (exp (- l)))

simplify4.3s

Counts
42 → 72
Calls
42 calls:
Slowest
709.0ms
(* (* (* J J) J) (* (* (- (exp l) (exp (- l))) (- (exp l) (exp (- l)))) (- (exp l) (exp (- l)))))
327.0ms
(* J (- (exp l) (exp (* -1 l))))
286.0ms
(* (* J (- (pow (exp l) 3) (pow (exp (- l)) 3))) (cos (/ K 2)))
285.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))
255.0ms
(* (* J (- (* (exp l) (exp l)) (* (exp (- l)) (exp (- l))))) (cos (/ K 2)))

prune959.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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))
0.0b
(* (pow l 5) 1/60)

rewrite249.0ms

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
195.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
25.0ms
(* l (* 1/3 l))
17.0ms
(* (pow l 5) 1/60)
10.0ms
(* 1/3 l)

series349.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
237.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
55.0ms
(* (pow l 5) 1/60)
28.0ms
(* l (* 1/3 l))
28.0ms
(* 1/3 l)

simplify5.2s

Counts
58 → 97
Calls
58 calls:
Slowest
713.0ms
(* (* (* (* 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))))
578.0ms
(* (* (* (* 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))))
357.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
340.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
304.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))

prune1.8s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize63.0ms

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

rewrite304.0ms

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
171.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
102.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
19.0ms
(* l (* 1/3 l))
10.0ms
(* 1/3 l)

series472.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
247.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
153.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
45.0ms
(* l (* 1/3 l))
27.0ms
(* 1/3 l)

simplify8.5s

Counts
52 → 92
Calls
52 calls:
Slowest
716.0ms
(* (* (* 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)))))
661.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
583.0ms
(* (* (* (+ (* 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))))
567.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))
533.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))

prune2.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize121.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
0.6b
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
0.6b
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
0.5b
(* (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))))

rewrite318.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
Slowest
225.0ms
(* (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))))
36.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
30.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
23.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
284.0ms
(* (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))))
265.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
258.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
234.0ms
(cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))

simplify19.5s

Counts
83 → 103
Calls
83 calls:
Slowest
628.0ms
(* (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (cbrt (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))))
591.0ms
(* (cbrt (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))))
570.0ms
(* (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))))
545.0ms
(* (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))))
539.0ms
(* (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))) (sqrt (cbrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))))

prune2.1s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes507.0ms

Accuracy

0% (0.5b remaining)

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

bsearch8.0ms

end0.0ms

sample10.2s

Algorithm
intervals
Results
3.1s2752×body1280valid
3.0s8418×body80valid
2.1s2576×body640valid
1.0s1515×body320valid
341.0ms759×body160valid