Details

Time bar (total: 1.4s)

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

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify333.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (187.0ms)

IterNodesCost
0551520

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0b

Counts
2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

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)

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64_574
37×times-frac_binary64_569
30×add-sqr-sqrt_binary64_559
23×add-cube-cbrt_binary64_545 sqrt-prod_binary64_553
associate-/l*_binary64_638 distribute-lft-out_binary64_618 difference-of-squares_binary64_603
div-inv_binary64_575
add-cbrt-cube_binary64_546 add-exp-log_binary64_538 add-log-exp_binary64_539
distribute-rgt-out_binary64_620 associate-/r*_binary64_637
pow1_binary64_520 sqrt-div_binary64_554 associate-/l/_binary64_640
flip3--_binary64_573 +-commutative_binary64_641 div-exp_binary64_527 flip3-+_binary64_572 frac-2neg_binary64_567 flip-+_binary64_599 clear-num_binary64_577 flip--_binary64_600 distribute-rgt1-in_binary64_623 cbrt-undiv_binary64_544 sum-log_binary64_489 frac-add_binary64_564
Counts
2 → 73
Calls
2 calls:
21.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

series75.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
44.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

simplify84.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
051221644

prune300.0ms

Filtered
59 candidates to 79 candidates (-33.9%)
Pruning

1 alts after pruning (0 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done000
Total79180

Merged error: 0b

Counts
80 → 1

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
02920
12920

end0.0ms

sample569.0ms

Algorithm
intervals
Results
435.0ms8000×body80valid
0.0msbody80nan

Profiling

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