Details

Time bar (total: 2.4s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14

sample10.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify199.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
055709

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 x x)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
sqrt-prod_binary64
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
pow1_binary64 add-cube-cbrt_binary64 difference-of-squares_binary64 sqrt-div_binary64
add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 insert-posit16 flip--_binary64
Counts
1 → 18
Calls
1 calls:
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series181.0ms

Counts
1 → 3
Calls
1 calls:
181.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
08099
18099
08099
18099
013
113

simplify85.0ms

Counts
21 → 21
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05019226

prune12.0ms

Filtered
15 candidates to 21 candidates (-40.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New20121
Fresh000
Picked011
Done000
Total20222

Merged error: 0.0b

Counts
22 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (+.f64 1 (*.f64 x x)))
0.0b
(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
125×sqrt-prod_binary64
105×add-sqr-sqrt_binary64
87×*-un-lft-identity_binary64
78×times-frac_binary64
48×difference-of-squares_binary64
47×add-cube-cbrt_binary64
16×sqr-pow_binary64 unpow-prod-down_binary64
13×associate-/l*_binary64
distribute-lft-out--_binary64 sqrt-div_binary64
associate-/r*_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 insert-posit16
flip3-+_binary64 associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 associate-/r/_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 flip--_binary64 flip-+_binary64
cbrt-undiv_binary64 sqrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 154
Calls
3 calls:
3.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
7.0ms
(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
16.0ms
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))

series585.0ms

Counts
3 → 9
Calls
3 calls:
167.0ms
(sqrt.f64 (+.f64 1 (*.f64 x x)))
89.0ms
(sqrt.f64 (-.f64 1 (pow.f64 x 4)))
328.0ms
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 x 4))) (sqrt.f64 (+.f64 1 (*.f64 x x))))
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
017419
117419
017419
117419
013
113
06769
16769
06769
16769
013
113
07889
17889
07889
17889
013
113

simplify115.0ms

Counts
163 → 163
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049624596
149624596

prune109.0ms

Filtered
83 candidates to 163 candidates (-96.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1621163
Fresh000
Picked101
Done011
Total1632165

Merged error: 0b

Counts
165 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
0.0b
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt_binary64
66×*-un-lft-identity_binary64
61×times-frac_binary64
42×difference-of-squares_binary64
36×sqrt-prod_binary64
31×add-cube-cbrt_binary64
14×sqr-pow_binary64 unpow-prod-down_binary64
10×associate-/l*_binary64
distribute-lft-out--_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/r/_binary64
associate-/r*_binary64 pow1_binary64
flip3-+_binary64 associate-/l/_binary64 add-log-exp_binary64 rem-sqrt-square_binary64 div-inv_binary64 insert-posit16 flip-+_binary64
pow1/2_binary64 flip3--_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-exp_binary64 flip--_binary64 sqrt-div_binary64
Counts
2 → 110
Calls
2 calls:
13.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
12.0ms
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))

series540.0ms

Counts
2 → 6
Calls
2 calls:
283.0ms
(sqrt.f64 (/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x))))
258.0ms
(/.f64 (-.f64 1 (pow.f64 x 4)) (+.f64 1 (*.f64 x x)))
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
013449
113449
013449
113449
013
113
014949
114949
014949
114949
013
113

simplify88.0ms

Counts
116 → 116
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
053423206

prune85.0ms

Filtered
72 candidates to 116 candidates (-61.1%)
Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh000
Picked011
Done011
Total1162118

Merged error: 0b

Counts
118 → 2

regimes28.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02218
12218

end0.0ms

sample266.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid

Profiling

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