Details

Time bar (total: 27.1s)

sample244.0ms

Algorithm
intervals
Results
88.0ms94×body640valid
81.0ms99×body1280valid
36.0ms286×body80valid
11.0ms33×body320valid
6.0ms24×body160valid

simplify2.7s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.2b

localize36.0ms

Local error

Found 3 expressions with local error:

5.3b
(- (exp l) (exp (- l)))
0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
0.0b
(* J (- (exp l) (exp (- l))))

rewrite154.0ms

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
69.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
63.0ms
(* J (- (exp l) (exp (- l))))
20.0ms
(- (exp l) (exp (- l)))

series277.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
134.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2)))
82.0ms
(* J (- (exp l) (exp (- l))))
61.0ms
(- (exp l) (exp (- l)))

simplify1.2s

Counts
72 → 72

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* l l))
0.1b
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
0.0b
(* (pow l 5) 1/60)
0.0b
(* l (+ (* 1/3 (* l l)) 2))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
19×add-sqr-sqrt
18×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
5×unswap-sqr
4×unpow-prod-down associate-*r/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*l/ flip-+ sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in pow-exp
Counts
4 → 90
Calls
4 calls:
Slowest
65.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
57.0ms
(* l (+ (* 1/3 (* l l)) 2))
16.0ms
(* (pow l 5) 1/60)
12.0ms
(* 1/3 (* l l))

series507.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(* (* J (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))
148.0ms
(* l (+ (* 1/3 (* l l)) 2))
96.0ms
(* (pow l 5) 1/60)
44.0ms
(* 1/3 (* l l))

simplify789.0ms

Counts
102 → 102

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 1/3 (* l l))
0.1b
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
0.1b
(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
0.0b
(* (pow l 5) 1/60)

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
19×add-sqr-sqrt
18×add-cbrt-cube
16×pow1 associate-*l*
11×*-un-lft-identity add-cube-cbrt
10×prod-exp
8×associate-*r* cbrt-unprod
7×pow-prod-down
5×unswap-sqr
4×unpow-prod-down associate-*l/ *-commutative insert-posit16 add-log-exp
2×flip3-+ associate-*r/ flip-+ sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 88
Calls
4 calls:
Slowest
77.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
30.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
26.0ms
(* 1/3 (* l l))
9.0ms
(* (pow l 5) 1/60)

series432.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
207.0ms
(* J (* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2))))
114.0ms
(* (+ (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))) (cos (/ K 2)))
81.0ms
(* (pow l 5) 1/60)
30.0ms
(* 1/3 (* l l))

simplify746.0ms

Counts
100 → 100

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize107.0ms

Local error

Found 4 expressions with local error:

15.4b
(/ (* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))) (- (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
11.3b
(* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2))))
0.2b
(* 1/3 (* l l))
0.2b
(* 1/3 (* l l))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
19×pow1
12×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×*-un-lft-identity associate-*l* pow-prod-down add-cube-cbrt
4×associate-*l/ associate-*r/ insert-posit16 add-log-exp
3×cbrt-undiv associate-/r* times-frac flip3-- div-exp associate-*r* *-commutative flip--
2×associate-/r/ unswap-sqr associate-/l/
1×clear-num frac-2neg div-inv associate-/l*
Counts
4 → 89
Calls
4 calls:
Slowest
232.0ms
(* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2))))
170.0ms
(/ (* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))) (- (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
17.0ms
(* 1/3 (* l l))
12.0ms
(* 1/3 (* l l))

series852.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
506.0ms
(/ (* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2)))) (- (* (pow l 5) 1/60) (* l (+ (* 1/3 (* l l)) 2))))
239.0ms
(* J (* (- (* (* (pow l 5) 1/60) (* (pow l 5) 1/60)) (* (* l (+ (* 1/3 (* l l)) 2)) (* l (+ (* 1/3 (* l l)) 2)))) (cos (/ K 2))))
56.0ms
(* 1/3 (* l l))
50.0ms
(* 1/3 (* l l))

simplify1.1s

Counts
101 → 101

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes540.0ms

Accuracy

0% (0.3b remaining)

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

bsearch6.0ms

end0.0ms

sample10.2s

Algorithm
intervals
Results
3.7s2693×body1280valid
2.5s8552×body80valid
2.2s2625×body640valid
917.0ms1441×body320valid
280.0ms758×body160valid