Details

Time bar (total: 20.6s)

sample244.0ms

Algorithm
intervals
Results
88.0ms77×body1280valid
57.0ms101×body640valid
31.0ms265×body80valid
18.0ms48×body320valid
4.0ms18×body160valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01415
12414
24514
39114
422214
560014
6286214
done500014

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
0.2b
(* J (- (exp l) (exp (- l))))
6.5b
(- (exp l) (exp (- l)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
28×*-un-lft-identity
27×prod-diff
24×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
5×pow1 add-exp-log associate-*r* add-cbrt-cube add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 84
Calls
3 calls:
0.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
80.0ms
(* J (- (exp l) (exp (- l))))
28.0ms
(- (exp l) (exp (- l)))

series413.0ms

Counts
3 → 9
Calls
3 calls:
270.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
88.0ms
(* J (- (exp l) (exp (- l))))
55.0ms
(- (exp l) (exp (- l)))

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01621865
13701449
215581126
done5001954

prune369.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
5×fma-udef
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 52
Calls
4 calls:
1.0ms
(fma 1/60 (pow l 5) (* 2 l))
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
15.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
1.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

series835.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(fma 1/60 (pow l 5) (* 2 l))
79.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
212.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
340.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify941.0ms

Counts
64 → 64
Iterations

Useful iterations: done (938.0ms)

IterNodesCost
0971182
12081165
28021014
done5000998

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite39.0ms

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*
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod fma-udef log1p-expm1-u add-log-exp
2×*-commutative
1×distribute-rgt-in distribute-lft-in unswap-sqr
Counts
4 → 62
Calls
4 calls:
1.0ms
(fma 1/60 (pow l 5) (* 2 l))
1.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
15.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
20.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

series746.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(fma 1/60 (pow l 5) (* 2 l))
92.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
195.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
278.0ms
(* (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)))

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01081440
12561420
213371198
done50001187

prune493.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3))))
0.1b
(* J (cos (/ K 2.0)))
0.1b
(* (fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3)))) (* J (cos (/ K 2.0))))
0.2b
(* 1/3 (pow l 3))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-exp-log associate-*r*
13×add-cbrt-cube
11×pow1 add-cube-cbrt *-un-lft-identity
9×associate-*l*
7×prod-exp
5×cbrt-unprod unswap-sqr
4×expm1-log1p-u unpow-prod-down cube-prod pow-prod-down log1p-expm1-u add-log-exp
3×*-commutative
2×sqr-pow
1×cube-mult pow-to-exp unpow3 pow-exp fma-udef
Counts
4 → 83
Calls
4 calls:
1.0ms
(fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3))))
16.0ms
(* J (cos (/ K 2.0)))
51.0ms
(* (fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3)))) (* J (cos (/ K 2.0))))
21.0ms
(* 1/3 (pow l 3))

series430.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3))))
70.0ms
(* J (cos (/ K 2.0)))
198.0ms
(* (fma 1/60 (pow l 5) (fma 2 l (* 1/3 (pow l 3)))) (* J (cos (/ K 2.0))))
66.0ms
(* 1/3 (pow l 3))

simplify783.0ms

Counts
95 → 95
Iterations

Useful iterations: done (777.0ms)

IterNodesCost
01371276
13191223
211371039
done50001030

prune551.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes276.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
02224
12822
done2822

end0.0ms

sample8.2s

Algorithm
intervals
Results
2.7s2574×body1280valid
2.0s2741×body640valid
1.8s8166×body80valid
564.0ms1424×body320valid
160.0ms722×body160valid