Details

Time bar (total: 12.8s)

analyze2.3s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%98.1%1.9%7
0%98.1%1.9%8
0%97.8%2.2%9
0%96.8%3.2%10
0%96.3%3.7%11
0%94.3%5.7%12
0.4%92.1%7.5%13
0.6%90.8%8.6%14

sample93.0ms

Algorithm
intervals
Results
35.0ms381×body80nan
23.0ms256×body80valid
8.0ms47×body80invalid

simplify70.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0505939

prune5.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.2b

Counts
2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

4.8b
(*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))
7.8b
(*.f64 (/.f64 l Om) (-.f64 U U*))
10.6b
(*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
19.1b
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1_binary64
27×add-exp-log_binary64 add-cbrt-cube_binary64
21×add-sqr-sqrt_binary64
17×associate-*l*_binary64
16×pow-prod-down_binary64 *-un-lft-identity_binary64
14×add-cube-cbrt_binary64
13×cbrt-unprod_binary64 associate-*r/_binary64 prod-exp_binary64
10×times-frac_binary64
9×associate-*r*_binary64
6×sub-neg_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
4×add-log-exp_binary64 flip3--_binary64 sqrt-pow1_binary64 insert-posit16 flip--_binary64 frac-times_binary64
3×*-commutative_binary64
2×flip3-+_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 div-exp_binary64 flip-+_binary64 sqrt-div_binary64 associate-*l/_binary64
1×pow1/2_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 sqrt-prod_binary64
Counts
4 → 113
Calls
4 calls:
13.0ms
(*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))
14.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
12.0ms
(*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
9.0ms
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
188.0ms
(*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))
260.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
373.0ms
(*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
445.0ms
(sqrt.f64 (*.f64 (*.f64 (*.f64 2 n) U) (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0976117
1976117
0976117
1976117
011533
111533
09179
19179
09179
19179
013
113
08429
18429
08429
18429
013
113
06309
16309
06309
16309
013
113

simplify82.0ms

Counts
125 → 125
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
050072753

prune157.0ms

Filtered
84 candidates to 125 candidates (-48.8%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11312125
Fresh011
Picked101
Done000
Total11413127

Merged error: 21.0b

Counts
127 → 13

localize17.0ms

Local error

Found 4 expressions with local error:

4.9b
(*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))
5.1b
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
7.8b
(*.f64 (/.f64 l Om) (-.f64 U U*))
19.1b
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
33×pow1_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64
18×pow-prod-down_binary64
17×associate-*l*_binary64
16×*-un-lft-identity_binary64
14×add-cube-cbrt_binary64
12×associate-*r/_binary64
11×cbrt-unprod_binary64 prod-exp_binary64
10×times-frac_binary64
9×associate-*r*_binary64
6×distribute-lft-in_binary64 distribute-rgt-in_binary64
5×sqrt-pow1_binary64
4×add-log-exp_binary64 insert-posit16
3×flip3-+_binary64 unswap-sqr_binary64 flip-+_binary64 *-commutative_binary64
2×sub-neg_binary64 flip3--_binary64 flip--_binary64 frac-times_binary64 sqrt-div_binary64
1×pow1/2_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 sqrt-prod_binary64 associate-*l/_binary64
Counts
4 → 110
Calls
4 calls:
11.0ms
(*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))
8.0ms
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
217.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
9.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

series1.2s

Counts
4 → 12
Calls
4 calls:
335.0ms
(*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*))))))))
201.0ms
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
267.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
411.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0968117
1968117
0968117
1968117
011533
111533
08429
18429
08429
18429
013
113
05329
15329
05329
15329
013
113
09099
19099
09099
19099
013
113

simplify154.0ms

Counts
122 → 122
Iterations

Useful iterations: 0 (115.0ms)

IterNodesCost
053193196

prune134.0ms

Filtered
80 candidates to 122 candidates (-52.5%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1157122
Fresh4812
Picked011
Done000
Total11916135

Merged error: 16.7b

Counts
135 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

7.8b
(*.f64 (/.f64 l Om) (-.f64 U U*))
7.8b
(*.f64 (/.f64 l Om) (-.f64 U U*))
19.1b
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
19.1b
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64 add-sqr-sqrt_binary64
26×associate-*l*_binary64
24×*-un-lft-identity_binary64
20×add-cube-cbrt_binary64 times-frac_binary64
18×pow-prod-down_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-*r/_binary64
10×associate-*r*_binary64 sqrt-pow1_binary64
4×add-log-exp_binary64 sub-neg_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 flip--_binary64 frac-times_binary64 sqrt-div_binary64
2×flip3-+_binary64 pow1/2_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 sqrt-prod_binary64 flip-+_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 116
Calls
4 calls:
13.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
12.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
9.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
9.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
265.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
269.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
410.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
411.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0968117
1968117
0968117
1968117
011533
111533
0968117
1968117
0968117
1968117
011533
111533
08429
18429
08429
18429
013
113
08429
18429
08429
18429
013
113

simplify100.0ms

Counts
128 → 128
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050272438

prune223.0ms

Filtered
96 candidates to 128 candidates (-33.3%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh01414
Picked011
Done011
Total12816144

Merged error: 16.7b

Counts
144 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

5.1b
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
5.2b
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))))
7.8b
(*.f64 (/.f64 l Om) (-.f64 U U*))
19.1b
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
35×pow1_binary64
25×add-sqr-sqrt_binary64
18×pow-prod-down_binary64 *-un-lft-identity_binary64
16×add-cube-cbrt_binary64 associate-*l*_binary64
12×associate-*r/_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×sqrt-pow1_binary64 times-frac_binary64 exp-prod_binary64
8×associate-*r*_binary64
7×log-pow_binary64
4×add-log-exp_binary64 log-prod_binary64 exp-sum_binary64 insert-posit16 sqrt-div_binary64
3×flip3-+_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64
2×sub-neg_binary64 pow1/2_binary64 flip3--_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 exp-diff_binary64 log-div_binary64 flip--_binary64 sqrt-prod_binary64 frac-times_binary64 *-commutative_binary64
1×cbrt-undiv_binary64 rem-exp-log_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64 div-exp_binary64 associate-*l/_binary64
Counts
4 → 106
Calls
4 calls:
7.0ms
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
12.0ms
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))))
12.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
9.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))

series1.5s

Counts
4 → 12
Calls
4 calls:
203.0ms
(*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))
635.0ms
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))))
265.0ms
(*.f64 (/.f64 l Om) (-.f64 U U*))
404.0ms
(sqrt.f64 (*.f64 (*.f64 2 n) (*.f64 U (+.f64 t (*.f64 (/.f64 l Om) (-.f64 (*.f64 l -2) (*.f64 n (*.f64 (/.f64 l Om) (-.f64 U U*)))))))))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0968117
1968117
0968117
1968117
011533
111533
08429
18429
08429
18429
013
113
01057349
11057349
01057349
11057349
0512333
05329
15329
05329
15329
013
113

simplify74.0ms

Counts
118 → 118
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
050852995

prune115.0ms

Filtered
81 candidates to 118 candidates (-45.7%)
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New1126118
Fresh01313
Picked101
Done022
Total11321134

Merged error: 16.7b

Counts
134 → 21

regimes595.0ms

Accuracy

30.9% (8.2b remaining)

Error of 27.3b against oracle of 19.2b and baseline of 31.0b

bsearch52.0ms

Steps
ItersRangePoint
7
-8.225744292457765e-305
-2.917558284702512e-306
-2.9707454333495456e-306

simplify21.0ms

Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
026886
126886

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s12877×body80nan
748.0ms8000×body80valid
116.0ms1239×body80invalid

Profiling

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