Details

Time bar (total: 8.5s)

sample148.0ms

Algorithm
intervals
Results
49.0ms89×body1280valid
27.0ms79×body640valid
23.0ms273×body80valid
10.0ms43×body320valid
3.0ms21×body160valid

simplify370.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0248
1448
2918
31958
43328
56528
612798
716948
849808
950018
done50018

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (- (exp l) (exp (- l))))
0.0b
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
5.7b
(- (exp l) (exp (- l)))

rewrite69.0ms

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:
47.0ms
(* J (- (exp l) (exp (- l))))
1.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
19.0ms
(- (exp l) (exp (- l)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* J (- (exp l) (exp (- l))))
172.0ms
(fma (* J (- (exp l) (exp (- l)))) (cos (/ K 2.0)) U)
40.0ms
(- (exp l) (exp (- l)))

simplify39.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
03181176
11096780
25001725
done5001725

prune232.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

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)

rewrite8.0ms

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

series420.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))
127.0ms
(* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))
237.0ms
(fma (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))) (cos (/ K 2.0)) U)

simplify101.0ms

Counts
51 → 51
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0176451
1760390
24095382
35001382
done5001382

prune203.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

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)

rewrite15.0ms

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:
10.0ms
(* (cbrt J) (cbrt J))
1.0ms
(cbrt J)
1.0ms
(cbrt J)
1.0ms
(cbrt J)

series716.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt J) (cbrt J))
171.0ms
(cbrt J)
174.0ms
(cbrt J)
177.0ms
(cbrt J)

simplify87.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune446.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
14.9b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
14.9b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
14.9b
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
16.0ms
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
3.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
3.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
4.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
347.0ms
(* (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))) (cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l))))))
302.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
295.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))
293.0ms
(cbrt (* J (fma 1/3 (pow l 3) (fma 1/60 (pow l 5) (* 2 l)))))

simplify139.0ms

Counts
78 → 78
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02951036
1977924
24587830
35001830
done5001830

prune410.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

regimes337.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0219
1219
done219

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s2682×body1280valid
636.0ms2552×body640valid
453.0ms8288×body80valid
252.0ms1465×body320valid
75.0ms708×body160valid