Details

Time bar (total: 49.3s)

sample277.0ms

Algorithm
intervals
Results
84.0ms279×body80valid
63.0ms74×body1280valid
58.0ms105×body640valid
22.0ms42×body320valid
3.0ms10×body160valid

simplify24.6s

Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
01415
12414
24514
39014
418914
528114
635814
749314
864614
9103114
10180014
11258614
12324314
13356414
14364814
done364814

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
5.3b
(- (exp l) (exp (- l)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×prod-diff
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×fma-neg associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- associate-*r/ associate-*l/ flip-- log1p-expm1-u
1×sub-neg diff-log associate-*l* *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 50
Calls
2 calls:
83.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
17.0ms
(- (exp l) (exp (- l)))

series169.0ms

Counts
2 → 6
Calls
2 calls:
126.0ms
(* (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)))
43.0ms
(- (exp l) (exp (- l)))

simplify3.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
0124978
1279824
2839651
34008595
done5000595

prune199.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(* J (fma 1/3 (pow l 3) (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
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
0.2b
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

rewrite46.0ms

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:
7.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
18.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
0.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
19.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series845.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
390.0ms
(+ (* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0))) U)
64.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
197.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify934.0ms

Counts
78 → 78
Iterations

Useful iterations: done (931.0ms)

IterNodesCost
01221818
12881738
210151521
done50001474

prune421.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
0.0b
(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))))
0.2b
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

rewrite82.0ms

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-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×+-commutative fma-def flip3-+ sum-log flip-+ fma-udef unswap-sqr
Counts
4 → 64
Calls
4 calls:
28.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
36.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
16.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

series780.0ms

Counts
4 → 12
Calls
4 calls:
328.0ms
(+ (* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))) U)
86.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
231.0ms
(* J (* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0))))
135.0ms
(* (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))) (cos (/ K 2.0)))

simplify1.0s

Counts
76 → 76
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01201865
12881788
210441565
done50011508

prune449.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt J) (cbrt J))
0.6b
(cbrt J)
0.6b
(cbrt J)
0.6b
(cbrt J)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (cbrt J) (cbrt J))
2.0ms
(cbrt J)
2.0ms
(cbrt J)
2.0ms
(cbrt J)

series1.2s

Counts
4 → 12
Calls
4 calls:
308.0ms
(* (cbrt J) (cbrt J))
337.0ms
(cbrt J)
279.0ms
(cbrt J)
310.0ms
(cbrt J)

simplify5.6s

Counts
93 → 93
Iterations

Useful iterations: done (5.6s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune661.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes466.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02022
12422
done2422

end0.0ms

sample7.8s

Algorithm
intervals
Results
2.8s2703×body1280valid
1.6s2560×body640valid
1.6s8365×body80valid
622.0ms1450×body320valid
161.0ms783×body160valid