Details

Time bar (total: 1.6s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%56.2%43.8%0
0%56.2%43.8%1
28.1%28.1%43.8%2
56.2%0%43.8%3

sample21.0ms

Algorithm
intervals
Results
6.0ms215×body80valid
4.0ms256×pre80true
2.0ms12×body1280valid
2.0ms14×body640valid
1.0ms12×body320valid
0.0msbody160valid

simplify426.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
0480919
1480919

prune2.0ms

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: 9.8b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.2b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity_binary64_9675
26×add-sqr-sqrt_binary64_9660
25×times-frac_binary64_9670
19×distribute-lft-out_binary64_9719
14×add-cube-cbrt_binary64_9646
distribute-lft-out--_binary64_9720 difference-of-squares_binary64_9704
associate-/l*_binary64_9739 associate-/r*_binary64_9738
add-log-exp_binary64_9640 add-exp-log_binary64_9639 add-cbrt-cube_binary64_9647
div-sub_binary64_9669 associate-/l/_binary64_9741 flip-+_binary64_9700 flip3-+_binary64_9673 pow1_binary64_9617 associate-/r/_binary64_9740
div-exp_binary64_9624 associate-+l-_binary64_9729 frac-2neg_binary64_9668 sum-log_binary64_9585 clear-num_binary64_9678 +-commutative_binary64_9742 div-inv_binary64_9676 flip3--_binary64_9674 cbrt-undiv_binary64_9645 flip--_binary64_9701
Counts
2 → 65
Calls
2 calls:
13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
221.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

series805.0ms

Counts
2 → 6
Calls
2 calls:
405.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
400.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
01372583
11372583
049942433
149942433
01372583
11372583
049942433
149942433
050532433
02992565
12992565
051422415
02992565
12992565
051422415
049722415
149722415

simplify110.0ms

Counts
71 → 71
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
058966218

prune17.0ms

Filtered
49 candidates to 71 candidates (-44.9%)

Profiling

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