Details

Time bar (total: 30.0s)

sample266.0ms

Algorithm
intervals
Results
82.0ms85×body1280valid
49.0ms51×body320valid
47.0ms77×body640valid
38.0ms298×body80valid
7.0ms28×body160valid

simplify3.2s

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

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(* J (exp l))
0.3b
(/ J (exp l))
4.2b
(- (* J (exp l)) (/ J (exp l)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity add-cube-cbrt
18×times-frac
13×prod-diff
7×add-cbrt-cube
5×pow1 add-exp-log add-log-exp
3×expm1-log1p-u associate-/r* associate-*r* associate-*l* log1p-expm1-u div-inv associate-/l*
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- unswap-sqr
Counts
3 → 78
Calls
3 calls:
17.0ms
(* J (exp l))
7.0ms
(/ J (exp l))
20.0ms
(- (* J (exp l)) (/ J (exp l)))

series161.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* J (exp l))
36.0ms
(/ J (exp l))
83.0ms
(- (* J (exp l)) (/ J (exp l)))

simplify3.6s

Counts
87 → 87
Iterations
IterNodes
done5000
34633
21329
1447
0171

prune698.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (cos (/ K 2.0)) (* (+ l l) J) 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:
1.0ms
(fma (cos (/ K 2.0)) (* (+ l l) J) U)

series179.0ms

Counts
1 → 3
Calls
1 calls:
179.0ms
(fma (cos (/ K 2.0)) (* (+ l l) J) U)

simplify2.2s

Counts
13 → 13
Iterations
IterNodes
done5025
41428
3286
2111
150
030

prune100.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma (+ J J) (* l (cos (* K 0.5))) U)
0.1b
(* l (cos (* K 0.5)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
3×associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma (+ J J) (* l (cos (* K 0.5))) U)
13.0ms
(* l (cos (* K 0.5)))

series192.0ms

Counts
2 → 6
Calls
2 calls:
142.0ms
(fma (+ J J) (* l (cos (* K 0.5))) U)
50.0ms
(* l (cos (* K 0.5)))

simplify5.0s

Counts
36 → 36
Iterations
IterNodes
done5000
44310
3916
2289
1111
059

prune261.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt l) (cbrt l))
0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)

rewrite16.0ms

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:
12.0ms
(* (cbrt l) (cbrt l))
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt l)

series1.2s

Counts
4 → 12
Calls
4 calls:
304.0ms
(* (cbrt l) (cbrt l))
266.0ms
(cbrt l)
310.0ms
(cbrt l)
306.0ms
(cbrt l)

simplify4.0s

Counts
93 → 93
Iterations
IterNodes
done5001
44322
31076
2382
1140
065

prune660.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.2b

regimes518.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample7.6s

Algorithm
intervals
Results
3.0s2713×body1280valid
1.6s2627×body640valid
1.1s8366×body80valid
737.0ms1460×body320valid
534.0ms766×body160valid