Details

Time bar (total: 2.0s)

analyze11.0ms

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

sample25.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify154.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (13.0ms)

IterNodesCost
016617
116617

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite224.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
49×times-frac_binary64
30×sqrt-prod_binary64
26×add-cube-cbrt_binary64
18×difference-of-squares_binary64
13×distribute-lft-out_binary64
distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64 pow1_binary64 associate-/r/_binary64
add-log-exp_binary64 insert-posit16
flip3-+_binary64 associate-/l/_binary64 rem-sqrt-square_binary64 div-inv_binary64 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
3 → 103
Calls
3 calls:
1.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
15.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
201.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))

series1.4s

Counts
3 → 9
Calls
3 calls:
623.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
434.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
331.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0274939
1274939
05002621
0274939
1274939
05002621
05113683
05101401
15101401
05077755
05101401
15101401
05077755
04950799
14950799
0751769
1751769
058861688
0751769
1751769
058861688
050431826

simplify98.0ms

Counts
112 → 112
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
051735163

prune28.0ms

Filtered
77 candidates to 112 candidates (-45.5%)

Profiling

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