Details

Time bar (total: 22.7s)

sample221.0ms

Algorithm
intervals
Results
73.0ms74×body640valid
62.0ms90×body1280valid
28.0ms274×body80valid
11.0ms36×body320valid
5.0ms25×body160valid

simplify1.0s

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
7.2b
(- (exp l) (exp (- l)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×associate-*r* add-log-exp
7×add-cube-cbrt
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×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
79.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
79.0ms
(* J (- (exp l) (exp (- l))))
124.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
16.0ms
(- (exp l) (exp (- l)))

series596.0ms

Counts
4 → 12
Calls
4 calls:
329.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
104.0ms
(* J (- (exp l) (exp (- l))))
113.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
49.0ms
(- (exp l) (exp (- l)))

simplify827.0ms

Counts
83 → 83

prune358.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize42.0ms

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
(* 1/60 (pow l 5))
0.1b
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
0.2b
(* 1/3 (pow l 3))

rewrite265.0ms

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:
97.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
22.0ms
(* 1/60 (pow l 5))
115.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
26.0ms
(* 1/3 (pow l 3))

series595.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))))
68.0ms
(* 1/60 (pow l 5))
237.0ms
(* (* J (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l)))) (cos (/ K 2.0)))
68.0ms
(* 1/3 (pow l 3))

simplify1.2s

Counts
110 → 110

prune546.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow l 5))
0.1b
(* (+ (* (* 1/3 (pow l 3)) J) (* (+ (* 1/60 (pow l 5)) (* 2 l)) J)) (cos (/ K 2.0)))
0.2b
(* 1/3 (pow l 3))
3.9b
(* (* 1/3 (pow l 3)) J)

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
25×associate-*r*
15×add-cbrt-cube
14×add-cube-cbrt *-un-lft-identity prod-exp
11×associate-*l*
8×pow1 unpow-prod-down unswap-sqr
6×cbrt-unprod
4×cube-prod *-commutative add-log-exp sqr-pow
3×pow-to-exp pow-exp
2×pow-prod-down associate-*l/
1×cube-mult distribute-rgt-out flip3-+ unpow3 flip-+
Counts
4 → 96
Calls
4 calls:
25.0ms
(* 1/60 (pow l 5))
116.0ms
(* (+ (* (* 1/3 (pow l 3)) J) (* (+ (* 1/60 (pow l 5)) (* 2 l)) J)) (cos (/ K 2.0)))
20.0ms
(* 1/3 (pow l 3))
42.0ms
(* (* 1/3 (pow l 3)) J)

series338.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* 1/60 (pow l 5))
168.0ms
(* (+ (* (* 1/3 (pow l 3)) J) (* (+ (* 1/60 (pow l 5)) (* 2 l)) J)) (cos (/ K 2.0)))
52.0ms
(* 1/3 (pow l 3))
51.0ms
(* (* 1/3 (pow l 3)) J)

simplify1.2s

Counts
108 → 108

prune632.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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)))
0.2b
(* 1/3 (pow l 3))

rewrite223.0ms

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:
14.0ms
(* 1/60 (pow l 5))
76.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
102.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
25.0ms
(* 1/3 (pow l 3))

series521.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* 1/60 (pow l 5))
251.0ms
(* J (* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0))))
124.0ms
(* (+ (* 1/3 (pow l 3)) (+ (* 1/60 (pow l 5)) (* 2 l))) (cos (/ K 2.0)))
72.0ms
(* 1/3 (pow l 3))

simplify1.1s

Counts
108 → 108

prune650.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes576.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.8s

end0.0ms

sample8.4s

Algorithm
intervals
Results
3.0s2740×body1280valid
1.8s8460×body80valid
1.8s2523×body640valid
551.0ms1421×body320valid
165.0ms746×body160valid