Details

Time bar (total: 43.4s)

sample301.0ms

Algorithm
intervals
Results
102.0ms91×body1280valid
78.0ms294×body80valid
58.0ms79×body640valid
25.0ms46×body320valid
6.0ms19×body160valid

simplify280.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
280.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize31.0ms

Local error

Found 4 expressions with local error:

7.7b
(- (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)

rewrite169.0ms

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
64.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
42.0ms
(* J (- (exp l) (exp (- l))))
41.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
20.0ms
(- (exp l) (exp (- l)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
335.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2))) U)
126.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
77.0ms
(* J (- (exp l) (exp (- l))))
55.0ms
(- (exp l) (exp (- l)))

simplify5.2s

Counts
46 → 87
Calls
46 calls:
Slowest
635.0ms
(* (* (* 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)))))
330.0ms
(* (exp (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))) (exp U))
313.0ms
(- (+ U (* (exp l) (* (cos (* 1/2 K)) J))) (* (cos (* 1/2 K)) (* J (exp (- l)))))
291.0ms
(+ (* 2 l) (+ (* 1/3 (pow l 3)) (* 1/60 (pow l 5))))

prune1.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

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
(* (pow l 5) 1/60)

rewrite588.0ms

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
405.0ms
(* 1/3 l)
149.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
16.0ms
(* l (* 1/3 l))
16.0ms
(* (pow l 5) 1/60)

series401.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
93.0ms
(* (pow l 5) 1/60)
42.0ms
(* l (* 1/3 l))
28.0ms
(* 1/3 l)

simplify5.4s

Counts
58 → 97
Calls
58 calls:
Slowest
684.0ms
(* (* (* (* 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))))
638.0ms
(* (* (* (* 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))))
393.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
359.0ms
(* (* J (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (cos (/ K 2)))
350.0ms
(* (* J (+ (pow (* l (+ (* l (* 1/3 l)) 2)) 3) (pow (* (pow l 5) 1/60) 3))) (cos (/ K 2)))

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.4b
(* 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))))

rewrite249.0ms

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
123.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
96.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
24.0ms
(* l (* 1/3 l))
5.0ms
(* 1/3 l)

series394.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
215.0ms
(* J (* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2))))
120.0ms
(* (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
38.0ms
(* l (* 1/3 l))
21.0ms
(* 1/3 l)

simplify8.2s

Counts
52 → 92
Calls
52 calls:
Slowest
708.0ms
(* (* (* 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)))))
506.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
496.0ms
(* (sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
493.0ms
(sqrt (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60)))
489.0ms
(+ (log (+ (* l (+ (* l (* 1/3 l)) 2)) (* (pow l 5) 1/60))) (log (cos (/ K 2))))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

2.0b
(log (exp (* l (* 1/3 l))))
0.4b
(* 1/3 l)
0.1b
(* (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
0.1b
(* l (* 1/3 l))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt pow1
13×add-cbrt-cube add-exp-log
10×*-un-lft-identity add-cube-cbrt
9×associate-*l*
7×associate-*r*
5×pow-prod-down prod-exp cbrt-unprod add-log-exp
4×insert-posit16
3×log-prod log-pow *-commutative
2×associate-*l/ unswap-sqr
1×exp-prod flip3-+ exp-to-pow rem-log-exp flip-+
Counts
4 → 74
Calls
4 calls:
Slowest
64.0ms
(* (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
17.0ms
(* l (* 1/3 l))
10.0ms
(* 1/3 l)
9.0ms
(log (exp (* l (* 1/3 l))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(* (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60)) (cos (/ K 2)))
36.0ms
(* l (* 1/3 l))
31.0ms
(log (exp (* l (* 1/3 l))))
23.0ms
(* 1/3 l)

simplify4.7s

Counts
46 → 86
Calls
46 calls:
Slowest
547.0ms
(* (* (* (+ (* 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))))
330.0ms
(* (sqrt (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (sqrt (cos (/ K 2))))
307.0ms
(* (cbrt (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))) (cbrt (+ (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* (pow l 5) 1/60))))
294.0ms
(* (* (* l l) l) (* (* (* 1/3 l) (* 1/3 l)) (* 1/3 l)))
277.0ms
(* (- (* (* l (+ (log (exp (* l (* 1/3 l)))) 2)) (* l (+ (log (exp (* l (* 1/3 l)))) 2))) (* (* (pow l 5) 1/60) (* (pow l 5) 1/60))) (cos (/ K 2)))

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes367.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch4.0ms

end0.0ms

sample10.5s

Algorithm
intervals
Results
3.7s2688×body1280valid
2.4s2554×body640valid
2.0s8426×body80valid
1.5s1467×body320valid
298.0ms759×body160valid