Details

Time bar (total: 30.1s)

sample251.0ms

Algorithm
intervals
Results
117.0ms103×body1280valid
52.0ms99×body640valid
28.0ms274×body80valid
13.0ms38×body320valid
5.0ms25×body160valid

simplify3.1s

Counts
1 → 1
Iterations
IterNodes
done5000
73163
61067
5416
4202
385
244
124
014

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (exp l))
0.0b
(fma (cos (/ K 2.0)) (- (* J (exp l)) (/ J (exp l))) U)
5.9b
(- (* J (exp l)) (/ J (exp l)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×prod-diff
12×*-un-lft-identity add-cube-cbrt
9×times-frac
5×pow1 add-cbrt-cube add-log-exp
4×add-exp-log
3×expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u
2×div-inv
1×sub-neg flip3-- fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef flip-- distribute-lft-out-- unswap-sqr
Counts
3 → 59
Calls
3 calls:
13.0ms
(* J (exp l))
1.0ms
(fma (cos (/ K 2.0)) (- (* J (exp l)) (/ J (exp l))) U)
31.0ms
(- (* J (exp l)) (/ J (exp l)))

series446.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* J (exp l))
323.0ms
(fma (cos (/ K 2.0)) (- (* J (exp l)) (/ J (exp l))) U)
75.0ms
(- (* J (exp l)) (/ J (exp l)))

simplify3.3s

Counts
68 → 68
Iterations
IterNodes
done5000
34429
21344
1473
0186

prune636.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 1 expressions with local error:

0.1b
(fma (cos (/ K 2.0)) (* J (+ l l)) U)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (cos (/ K 2.0)) (* J (+ l l)) U)

series152.0ms

Counts
1 → 3
Calls
1 calls:
152.0ms
(fma (cos (/ K 2.0)) (* J (+ l l)) U)

simplify2.9s

Counts
13 → 13
Iterations
IterNodes
done5020
41760
3358
2120
152
030

prune179.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)) (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))
0.5b
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
0.5b
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
0.5b
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
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:
9.0ms
(* (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)) (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))
1.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
1.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
1.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))

series998.0ms

Counts
4 → 12
Calls
4 calls:
303.0ms
(* (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)) (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))
229.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
220.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))
245.0ms
(cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))

simplify2.0s

Counts
93 → 93
Iterations
IterNodes
done5001
31871
2524
1215
098

prune847.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
0.6b
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
0.6b
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
0.6b
(* (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))) (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
162×cbrt-prod
136×pow1
94×add-sqr-sqrt
62×pow1/3
55×pow-prod-up
40×*-un-lft-identity add-cube-cbrt
39×pow-sqr
38×pow-prod-down
28×swap-sqr associate-*r* associate-*l* unswap-sqr
22×add-exp-log
21×pow-plus
16×pow2
11×prod-exp cbrt-unprod
8×add-cbrt-cube
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
Counts
4 → 244
Calls
4 calls:
25.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
28.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
20.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
57.0ms
(* (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))) (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
272.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
286.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
281.0ms
(* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))))
375.0ms
(* (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))) (* (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U))) (cbrt (cbrt (fma (cos (/ K 2.0)) (* J (+ l l)) U)))))

simplify3.6s

Counts
256 → 256
Iterations
IterNodes
done5009
32630
2841
1375
0157

prune1.7s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes650.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample7.6s

Algorithm
intervals
Results
2.6s2716×body1280valid
1.6s8432×body80valid
1.5s2651×body640valid
603.0ms711×body160valid
598.0ms1425×body320valid