Details

Time bar (total: 13.3s)

sample105.0ms

Algorithm
intervals
Results
39.0ms99×body1280valid
22.0ms74×body640valid
14.0ms270×body80valid
8.0ms46×body320valid
2.0ms23×body160valid

simplify3.4s

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
01415
12414
24414
38214
414614
525614
643914
758014
889914
9211214
done500114

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.5b

localize12.0ms

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)))
5.9b
(- (exp l) (exp (- l)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
30×*-un-lft-identity
27×prod-diff
26×add-cube-cbrt
11×pow1 add-exp-log distribute-rgt-in distribute-lft-in add-cbrt-cube
8×associate-*r* add-log-exp
4×expm1-log1p-u associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×sub-neg flip3-- fma-neg flip--
2×associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative fma-def flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 110
Calls
4 calls:
25.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
26.0ms
(* J (- (exp l) (exp (- l))))
26.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
7.0ms
(- (exp l) (exp (- l)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(+ (* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0))) U)
53.0ms
(* J (- (exp l) (exp (- l))))
85.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
34.0ms
(- (exp l) (exp (- l)))

simplify641.0ms

Counts
122 → 122
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
02022424
14441947
214231569
done50011551

prune322.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-udef
2×*-commutative
1×+-commutative distribute-rgt-in fma-def distribute-lft-in flip3-+ sum-log flip-+ unswap-sqr
Counts
4 → 66
Calls
4 calls:
0.0ms
(fma 1/60 (pow l 5) (* 2 l))
6.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
3.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
7.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series620.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(fma 1/60 (pow l 5) (* 2 l))
227.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
123.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
156.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify648.0ms

Counts
78 → 78
Iterations

Useful iterations: done (646.0ms)

IterNodesCost
01271740
12911663
210311456
done50001414

prune298.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube fma-udef
9×distribute-rgt-in add-sqr-sqrt distribute-lft-in
7×add-cube-cbrt *-un-lft-identity
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-+l+ associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×+-commutative fma-def flip3-+ sum-log flip-+ unswap-sqr
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma 1/60 (pow l 5) (* 2 l))
7.0ms
(+ (* J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) U)
7.0ms
(* J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
3.0ms
(* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

series813.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(fma 1/60 (pow l 5) (* 2 l))
297.0ms
(+ (* J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) U)
250.0ms
(* J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
150.0ms
(* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

simplify457.0ms

Counts
86 → 86
Iterations

Useful iterations: done (454.0ms)

IterNodesCost
01482036
13501954
211121741
done50011691

prune340.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
5×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
4×fma-udef
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 42
Calls
3 calls:
0.0ms
(fma 1/60 (pow l 5) (* 2 l))
0.0ms
(fma J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) U)
4.0ms
(* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

series559.0ms

Counts
3 → 9
Calls
3 calls:
119.0ms
(fma 1/60 (pow l 5) (* 2 l))
286.0ms
(fma J (* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) U)
154.0ms
(* (cos (/ K 2.0)) (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))

simplify1.1s

Counts
51 → 51
Iterations

Useful iterations: 3 (320.0ms)

IterNodesCost
0991081
12051068
2635935
32754911
done5000911

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes245.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921
12121
done2121

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s2666×body1280valid
668.0ms2611×body640valid
457.0ms8434×body80valid
251.0ms1454×body320valid
90.0ms738×body160valid