Details

Time bar (total: 2.8s)

analyze805.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
3%46.9%50%13
3.1%46.8%50%14

sample80.0ms

Algorithm
intervals
Results
35.0ms83×body2560valid
26.0ms98×body1280valid
7.0ms37×body640valid
3.0ms21×body320valid
1.0ms13×body160valid
0.0msbody80valid

simplify372.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
0494921
1494921

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b
(*.f64 5 (*.f64 v v))
0.4b
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_9660
19×*-un-lft-identity_binary64_9675
18×times-frac_binary64_9670
15×add-cube-cbrt_binary64_9646
10×add-exp-log_binary64_9639 add-cbrt-cube_binary64_9647
pow1_binary64_9617 difference-of-squares_binary64_9704
associate-/r*_binary64_9738
difference-of-sqr-1_binary64_9705
associate-/l*_binary64_9739 pow-prod-down_binary64_9598 add-log-exp_binary64_9640 prod-exp_binary64_9622 associate-*l*_binary64_9735 cbrt-unprod_binary64_9644
associate-/l/_binary64_9741 flip3--_binary64_9674 flip--_binary64_9701 associate-/r/_binary64_9740
acos-asin_binary64_9501 div-sub_binary64_9669 associate-*r*_binary64_9734 div-exp_binary64_9624 frac-2neg_binary64_9668 *-commutative_binary64_9743 clear-num_binary64_9678 div-inv_binary64_9676 cbrt-undiv_binary64_9645 unswap-sqr_binary64_9703
Counts
3 → 71
Calls
3 calls:
11.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
7.0ms
(*.f64 5 (*.f64 v v))
206.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))

series1.1s

Counts
3 → 9
Calls
3 calls:
414.0ms
(/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1))
346.0ms
(*.f64 5 (*.f64 v v))
336.0ms
(acos.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (-.f64 (*.f64 v v) 1)))
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
0492148
1492148
049442061
149442061
0492148
1492148
049442061
149442061
058692125
0861198
1861198
050871010
0861198
1861198
050871010
051781059
02331982
12331982
051691761
02331982
12331982
051691761
052841799

simplify141.0ms

Counts
80 → 80
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
049426595
149426595

prune25.0ms

Filtered
62 candidates to 80 candidates (-29.0%)

Profiling

Loading profile data...