Details

Time bar (total: 2.0s)

analyze5.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14

sample17.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify424.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (127.0ms)

IterNodesCost
0557520

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite237.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity_binary64_5895
37×times-frac_binary64_5890
34×add-sqr-sqrt_binary64_5880
28×sqrt-prod_binary64_5874
25×add-cube-cbrt_binary64_5866
10×difference-of-squares_binary64_5924
associate-/l*_binary64_5959 distribute-lft-out_binary64_5939
div-inv_binary64_5896
add-cbrt-cube_binary64_5867 add-log-exp_binary64_5860 add-exp-log_binary64_5859
sqrt-div_binary64_5875 pow1_binary64_5837
distribute-rgt-out_binary64_5941 associate-/r*_binary64_5958
flip--_binary64_5921 associate-/l/_binary64_5961 flip3--_binary64_5894
pow1/2_binary64_5827 frac-2neg_binary64_5888 sqrt-pow1_binary64_5876 flip3-+_binary64_5893 rem-sqrt-square_binary64_5883 div-exp_binary64_5844 sum-log_binary64_5805 cbrt-undiv_binary64_5865 distribute-rgt1-in_binary64_5944 frac-add_binary64_5885 flip-+_binary64_5920 +-commutative_binary64_5962 clear-num_binary64_5898
Counts
3 → 90
Calls
3 calls:
4.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
33.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
196.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

series1.1s

Counts
3 → 9
Calls
3 calls:
331.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
361.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
401.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
03191943
13191943
065161628
03191943
13191943
065161628
056771570
03332039
13332039
053581654
03332039
13332039
053581654
048761549
148761549
02881756
12881756
050051311
02881756
12881756
050051311
054461320

simplify147.0ms

Counts
99 → 99
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
050546016

prune27.0ms

Filtered
75 candidates to 99 candidates (-32.0%)

Profiling

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