Details

Time bar (total: 18.2s)

sample239.0ms

Algorithm
intervals
Results
92.0ms81×body1280valid
45.0ms88×body640valid
31.0ms274×body80valid
19.0ms45×body320valid
6.0ms25×body160valid

simplify115.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.1b
(- (exp l) (exp (- l)))

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r*
6×add-cube-cbrt
5×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
3×sub-neg flip3-- flip--
2×distribute-rgt-in distribute-lft-in associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×diff-log unswap-sqr
Counts
3 → 60
Calls
3 calls:
48.0ms
(* J (- (exp l) (exp (- l))))
134.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
52.0ms
(- (exp l) (exp (- l)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* J (- (exp l) (exp (- l))))
124.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
51.0ms
(- (exp l) (exp (- l)))

simplify133.0ms

Counts
69 → 69

prune318.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
0.1b
(* 1/3 (pow l 3))
0.1b
(* 1/60 (pow l 5))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
25×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
11×pow1
10×associate-*l* prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod associate-*r/ pow-prod-down *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*l/ pow-exp flip-+
1×distribute-rgt-in cube-mult distribute-lft-in unpow3
Counts
4 → 98
Calls
4 calls:
87.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
26.0ms
(* 1/3 (pow l 3))
18.0ms
(* 1/60 (pow l 5))
149.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

series543.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
53.0ms
(* 1/3 (pow l 3))
59.0ms
(* 1/60 (pow l 5))
231.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))

simplify70.0ms

Counts
110 → 110

prune644.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

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

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
23×associate-*r*
21×add-exp-log
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity
12×associate-*l*
11×pow1
10×prod-exp
8×unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod pow-prod-down associate-*l/ *-commutative add-log-exp sqr-pow
2×pow-to-exp flip3-+ associate-*r/ pow-exp flip-+
1×cube-mult unpow3
Counts
4 → 96
Calls
4 calls:
15.0ms
(* 1/3 (pow l 3))
16.0ms
(* 1/60 (pow l 5))
116.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
126.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

series521.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* 1/3 (pow l 3))
67.0ms
(* 1/60 (pow l 5))
243.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
150.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))

simplify75.0ms

Counts
108 → 108

prune558.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize84.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))))
2.7b
(* J (* (pow l 6) 1/9))
6.7b
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
15.2b
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
18×add-cbrt-cube
15×add-sqr-sqrt
14×associate-*r/
11×add-cube-cbrt *-un-lft-identity associate-*r*
10×pow1 prod-exp
9×associate-*l*
8×flip3-+ flip-+ distribute-neg-frac
6×cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×frac-times distribute-neg-in add-log-exp
3×times-frac pow-prod-down associate-/r* *-commutative
2×cbrt-undiv div-exp associate-*l/ associate-/r/ associate-/l/ unswap-sqr
1×distribute-lft-neg-in pow-to-exp neg-mul-1 flip3-- distribute-rgt-neg-in frac-2neg pow-exp clear-num distribute-rgt-neg-out flip-- div-inv distribute-lft-out associate-/l*
Counts
4 → 101
Calls
4 calls:
86.0ms
(* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))))
42.0ms
(* J (* (pow l 6) 1/9))
96.0ms
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
112.0ms
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

series3.0s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))))
129.0ms
(* J (* (pow l 6) 1/9))
651.0ms
(* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l)))))
896.0ms
(/ (* (cos (/ K 2.0)) (+ (* J (* (pow l 6) 1/9)) (* J (- (* (+ (* 1/60 (pow l 5)) (* 2 l)) (+ (* 1/60 (pow l 5)) (* 2 l))))))) (- (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))

simplify154.0ms

Counts
113 → 113

prune963.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify185.0ms

end0.0ms

sample8.7s

Algorithm
intervals
Results
2.7s2696×body1280valid
2.2s2660×body640valid
1.8s8415×body80valid
579.0ms1433×body320valid
211.0ms746×body160valid