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

sample23.0ms

Algorithm
intervals
Results
6.0ms196×body80valid
4.0ms256×pre80true
3.0ms27×body640valid
3.0ms18×body1280valid
1.0msbody320valid
0.0msbody160valid

simplify241.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (220.0ms)

IterNodesCost
0487919
1487919

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: 14.0b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
1.1b
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity_binary64
26×add-sqr-sqrt_binary64
25×times-frac_binary64
19×distribute-lft-out_binary64
14×add-cube-cbrt_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
associate-/r*_binary64 associate-/l*_binary64
add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 associate-/l/_binary64 pow1_binary64 associate-/r/_binary64 div-sub_binary64 insert-posit16 flip-+_binary64
flip3--_binary64 cbrt-undiv_binary64 associate-+l-_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 +-commutative_binary64 flip--_binary64 sum-log_binary64
Counts
2 → 67
Calls
2 calls:
13.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
23.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)

series977.0ms

Counts
2 → 6
Calls
2 calls:
485.0ms
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2))
492.0ms
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) 2)) 1)
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
06591371
16591371
04983695
14983695
06591371
16591371
04983695
14983695
05312
15312
05801341
15801341
05059815
05801341
15801341
05059815
05312
15312

simplify111.0ms

Counts
73 → 73
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
052581455

prune76.0ms

Filtered
50 candidates to 73 candidates (-46.0%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New621173
Fresh000
Picked101
Done000
Total631174

Merged error: 13.4b

Counts
74 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 beta (+.f64 (+.f64 alpha beta) 2))
0.0b
(/.f64 alpha (+.f64 (+.f64 beta alpha) 2))
1.1b
(-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity_binary64
34×add-sqr-sqrt_binary64
33×times-frac_binary64
24×distribute-lft-out_binary64
23×add-cube-cbrt_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
add-log-exp_binary64
associate-/r/_binary64 difference-of-squares_binary64
pow1_binary64 insert-posit16
flip3-+_binary64 cbrt-undiv_binary64 difference-of-sqr-1_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
3 → 95
Calls
3 calls:
13.0ms
(/.f64 beta (+.f64 (+.f64 alpha beta) 2))
10.0ms
(/.f64 alpha (+.f64 (+.f64 beta alpha) 2))
18.0ms
(-.f64 (/.f64 alpha (+.f64 (+.f64 beta alpha) 2)) 1)

series106.0ms

Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
05901161
15901161

Profiling

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