Details

Time bar (total: 1.9s)

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

simplify412.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (126.0ms)

IterNodesCost
0557520

prune1.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity_binary64_4290
37×times-frac_binary64_4285
34×add-sqr-sqrt_binary64_4275
28×sqrt-prod_binary64_4269
25×add-cube-cbrt_binary64_4261
10×difference-of-squares_binary64_4319
associate-/l*_binary64_4354 distribute-lft-out_binary64_4334
div-inv_binary64_4291
add-cbrt-cube_binary64_4262 add-exp-log_binary64_4254 add-log-exp_binary64_4255
pow1_binary64_4232 sqrt-div_binary64_4270
associate-/r*_binary64_4353 distribute-rgt-out_binary64_4336
flip--_binary64_4316 flip3--_binary64_4289 associate-/l/_binary64_4356
pow1/2_binary64_4222 sum-log_binary64_4200 +-commutative_binary64_4357 distribute-rgt1-in_binary64_4339 frac-add_binary64_4280 flip-+_binary64_4315 frac-2neg_binary64_4283 flip3-+_binary64_4288 clear-num_binary64_4293 rem-sqrt-square_binary64_4278 cbrt-undiv_binary64_4260 sqrt-pow1_binary64_4271 div-exp_binary64_4239
Counts
3 → 90
Calls
3 calls:
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
27.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
197.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))

series1.1s

Counts
3 → 9
Calls
3 calls:
297.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
350.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
420.0ms
(sqrt.f64 (-.f64 1 (*.f64 x x)))
Iterations

Useful iterations: 0 (116.0ms)

IterNodesCost
02661646
12661646
048761323
148761323
02661646
12661646
048761323
148761323
049721362
149721362
03052005
13052005
051621852
03052005
13052005
051621852
053701894
02991901
12991901
048861658
148861658
02991901
12991901
048861658
148861658
054511704

simplify123.0ms

Counts
99 → 99
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
053006618

prune27.0ms

Filtered
75 candidates to 99 candidates (-32.0%)

Profiling

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