Details

Time bar (total: 1.9s)

analyze259.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%50%25%4
25%37.5%37.5%5
25%31.2%43.8%6
25%28.1%46.9%7
25%26.5%48.5%8
25%25.8%49.2%9
25%25.4%49.6%10
25%25.2%49.8%11
25%25.1%49.9%12
25%25%50%13
25%25%50%14

sample62.0ms

Algorithm
intervals
Results
18.0ms102×body2560nan
16.0ms89×body1280nan
10.0ms256×body80valid
6.0ms53×body640nan
2.0ms19×body320nan
1.0ms12×body160nan
0.0ms13×body80nan

simplify390.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
0518614

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
26.4b
(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64_4290 sqrt-prod_binary64_4269
add-sqr-sqrt_binary64_4275
add-log-exp_binary64_4255
pow1_binary64_4232 add-cube-cbrt_binary64_4261
add-cbrt-cube_binary64_4262 sqrt-div_binary64_4270 add-exp-log_binary64_4254 difference-of-squares_binary64_4319
difference-of-sqr-1_binary64_4320 pow1/2_binary64_4222 sum-log_binary64_4200 +-commutative_binary64_4357 flip-+_binary64_4315 flip3-+_binary64_4288 flip--_binary64_4316 flip3--_binary64_4289 rem-sqrt-square_binary64_4278 distribute-lft-out_binary64_4334 sqrt-pow1_binary64_4271
Counts
2 → 30
Calls
2 calls:
8.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
205.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))

series747.0ms

Counts
2 → 6
Calls
2 calls:
399.0ms
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
347.0ms
(sqrt.f64 (-.f64 (*.f64 x x) 1))
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
02581632
12581632
048951321
148951321
02581632
12581632
048951321
148951321
049041360
149041360
02201696
12201696
049051375
149051375
02201696
12201696
049051375
149051375
049081392
149081392

simplify212.0ms

Counts
36 → 36
Iterations

Useful iterations: 0 (191.0ms)

IterNodesCost
048113153
148113153

prune7.0ms

Filtered
29 candidates to 36 candidates (-24.1%)

Profiling

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