Details

Time bar (total: 1.5s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%25%25%3
62.5%12.5%25%4
68.7%6.2%25%5
71.8%3.1%25%6
73.4%1.6%25%7
74.2%0.8%25%8
74.6%0.4%25%9
74.8%0.2%25%10
74.9%0.1%25%11
74.9%0%25%12
74.9%0%25%13
74.9%0%25%14

sample12.0ms

Algorithm
intervals
Results
7.0ms256×body80valid

simplify501.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01112
11112

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
0.2b
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_12547
26×add-sqr-sqrt_binary64_12532
21×distribute-lft-out_binary64_12591
18×times-frac_binary64_12542
15×add-cube-cbrt_binary64_12518
14×sqrt-prod_binary64_12526
associate-/r*_binary64_12610
add-cbrt-cube_binary64_12519 add-exp-log_binary64_12511 add-log-exp_binary64_12512
pow1_binary64_12489
associate-/l*_binary64_12611 flip-+_binary64_12572 flip3-+_binary64_12545
sqrt-div_binary64_12527 associate-/r/_binary64_12612
cbrt-undiv_binary64_12517 div-inv_binary64_12548 +-commutative_binary64_12614 pow1/2_binary64_12479 div-exp_binary64_12496 rem-sqrt-square_binary64_12535 sqrt-pow1_binary64_12528 sum-log_binary64_12457 clear-num_binary64_12550 frac-2neg_binary64_12540
Counts
3 → 71
Calls
3 calls:
4.0ms
(sqrt.f64 (+.f64 x 1))
7.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
10.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))

series847.0ms

Counts
3 → 9
Calls
3 calls:
264.0ms
(sqrt.f64 (+.f64 x 1))
270.0ms
(+.f64 1 (sqrt.f64 (+.f64 x 1)))
313.0ms
(/.f64 x (+.f64 1 (sqrt.f64 (+.f64 x 1))))
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
02921823
12921823
049811566
149811566
02921823
12921823
049811566
149811566
051481564
02541411
12541411
051321206
02541411
12541411
051321206
053111244
02421402
12421402
051261197
02421402
12421402
051261197
053081235

simplify104.0ms

Counts
80 → 80
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
049605031
149605031

prune14.0ms

Filtered
57 candidates to 80 candidates (-40.4%)

Profiling

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