Details

Time bar (total: 5.4s)

analyze1.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
26.5%72.9%0.5%9
38.2%60.7%1.1%10
41.7%54.9%3.4%11
47.6%47.4%5%12
53.4%39.4%7.2%13
54.9%34.5%10.6%14

sample67.0ms

Algorithm
intervals
Results
19.0ms192×body80valid
10.0ms28×body640valid
8.0ms16×body1280valid
6.0ms73×body80invalid
3.0ms13×body320valid
3.0ms9×body640invalid
2.0ms10×body320invalid
2.0ms5×body1280invalid
1.0ms7×body160valid
0.0ms1×body160invalid

simplify329.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (314.0ms)

IterNodesCost
0477724
1477724

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 30.8b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x)))
3.7b
(*.f64 (*.f64 x (pow.f64 s 2)) x)
8.9b
(*.f64 x (pow.f64 s 2))
20.2b
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
122×add-exp-log_binary64
82×prod-exp_binary64
34×add-cbrt-cube_binary64
18×pow-to-exp_binary64 add-sqr-sqrt_binary64 pow-exp_binary64
16×cbrt-unprod_binary64 div-exp_binary64
12×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
7×unpow-prod-down_binary64
6×pow1_binary64
4×add-log-exp_binary64 cbrt-undiv_binary64 unswap-sqr_binary64 insert-posit16
3×unpow2_binary64 sqr-pow_binary64 associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
1×pow-prod-down_binary64 associate-/r*_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 cos-2_binary64
Counts
4 → 123
Calls
4 calls:
15.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x)))
8.0ms
(*.f64 (*.f64 x (pow.f64 s 2)) x)
7.0ms
(*.f64 x (pow.f64 s 2))
15.0ms
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))

series217.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x)))
56.0ms
(*.f64 (*.f64 x (pow.f64 s 2)) x)
55.0ms
(*.f64 x (pow.f64 s 2))
52.0ms
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 x (pow.f64 s 2)) x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0329
1329
0329
1329
013
113
01209
11209
01209
11209
013
113
01429
11429
01429
11429
013
113
0419
1419
0419
1419
013
113

simplify119.0ms

Counts
135 → 135
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
049582141
149582141

prune107.0ms

Filtered
74 candidates to 135 candidates (-82.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New12312135
Fresh000
Picked101
Done000
Total12412136

Merged error: 15.3b

Counts
136 → 12

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(cos.f64 (*.f64 2 x))
0.7b
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x)))
3.7b
(*.f64 (*.f64 (*.f64 x s) s) x)
20.2b
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
103×add-exp-log_binary64
66×prod-exp_binary64
47×add-cbrt-cube_binary64
26×cbrt-unprod_binary64
13×pow1_binary64 div-exp_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 add-sqr-sqrt_binary64
8×pow-to-exp_binary64 pow-exp_binary64
6×pow-prod-down_binary64
5×cbrt-undiv_binary64
4×add-log-exp_binary64 associate-*r*_binary64 insert-posit16
3×unpow-prod-down_binary64 associate-/l*_binary64 times-frac_binary64
2×cos-2_binary64 *-commutative_binary64
1×associate-/r*_binary64 unpow2_binary64 sqr-pow_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 102
Calls
4 calls:
2.0ms
(cos.f64 (*.f64 2 x))
16.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x)))
9.0ms
(*.f64 (*.f64 (*.f64 x s) s) x)
14.0ms
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x))

series223.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(cos.f64 (*.f64 2 x))
55.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x)))
52.0ms
(*.f64 (*.f64 (*.f64 x s) s) x)
56.0ms
(*.f64 (pow.f64 c 2) (*.f64 (*.f64 (*.f64 x s) s) x))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0329
1329
0329
1329
013
113
01029
11029
01029
11029
013
113
0419
1419
0419
1419
013
113
02039
12039
02039
12039
013
113

simplify93.0ms

Counts
114 → 114
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
049821794
149821794

prune88.0ms

Filtered
62 candidates to 114 candidates (-83.9%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1059114
Fresh7411
Picked101
Done000
Total11313126

Merged error: 2.1b

Counts
126 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s))))
0.7b
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s)))))
4.5b
(*.f64 c (*.f64 x s))
4.5b
(*.f64 c (*.f64 x s))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 add-cube-cbrt_binary64
9×associate-*l*_binary64
8×cbrt-unprod_binary64 prod-exp_binary64
7×pow-prod-down_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 insert-posit16
3×swap-sqr_binary64 associate-/l*_binary64 times-frac_binary64 *-commutative_binary64
2×cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 pow-prod-up_binary64 pow-plus_binary64 unswap-sqr_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 pow-sqr_binary64 cos-2_binary64 pow2_binary64
Counts
4 → 87
Calls
4 calls:
4.0ms
(*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s))))
7.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s)))))
6.0ms
(*.f64 c (*.f64 x s))
6.0ms
(*.f64 c (*.f64 x s))

series212.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s))))
54.0ms
(/.f64 (cos.f64 (*.f64 2 x)) (*.f64 (fabs.f64 (*.f64 c (*.f64 x s))) (fabs.f64 (*.f64 c (*.f64 x s)))))
51.0ms
(*.f64 c (*.f64 x s))
53.0ms
(*.f64 c (*.f64 x s))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0229
1229
0229
1229
013
113
0229
1229
0229
1229
013
113
0419
1419
0419
1419
013
113
0329
1329
0329
1329
013
113

simplify123.0ms

Counts
99 → 99
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
053461307

prune96.0ms

Filtered
61 candidates to 99 candidates (-62.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New90999
Fresh5712
Picked101
Done000
Total9616112

Merged error: 1.8b

Counts
112 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(cos.f64 (*.f64 x 2))
0.5b
(/.f64 (cos.f64 (*.f64 x 2)) (fabs.f64 (*.f64 c (*.f64 x s))))
4.5b
(*.f64 c (*.f64 x s))
4.5b
(*.f64 c (*.f64 x s))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log_binary64 add-cbrt-cube_binary64
14×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
6×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
4×add-log-exp_binary64 insert-posit16
3×associate-/r*_binary64 associate-/l*_binary64
2×associate-*r*_binary64 *-commutative_binary64
1×cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
4 → 74
Calls
4 calls:
2.0ms
(cos.f64 (*.f64 x 2))
5.0ms
(/.f64 (cos.f64 (*.f64 x 2)) (fabs.f64 (*.f64 c (*.f64 x s))))
6.0ms
(*.f64 c (*.f64 x s))
6.0ms
(*.f64 c (*.f64 x s))

series214.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(cos.f64 (*.f64 x 2))
54.0ms
(/.f64 (cos.f64 (*.f64 x 2)) (fabs.f64 (*.f64 c (*.f64 x s))))
52.0ms
(*.f64 c (*.f64 x s))
53.0ms
(*.f64 c (*.f64 x s))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0229
1229
0229
1229
013
113
0229
1229
0229
1229
013
113
0359
1359
0359
1359
013
113
01679
11679
01679
11679
013
113

simplify143.0ms

Counts
86 → 86
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
051101165

prune70.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New79786
Fresh31215
Picked101
Done000
Total8319102

Merged error: 1.8b

Counts
102 → 19

regimes123.0ms

Accuracy

0% (0.6b remaining)

Error of 2.6b against oracle of 1.9b and baseline of 2.6b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01931
11931

end0.0ms

sample1.9s

Algorithm
intervals
Results
536.0ms6015×body80valid
319.0ms659×body1280valid
246.0ms715×body640valid
155.0ms1825×body80invalid
113.0ms420×body320valid
80.0ms235×body640invalid
67.0ms136×body1280invalid
42.0ms161×body320invalid
37.0ms191×body160valid
18.0ms113×body160invalid

Profiling

Loading profile data...