Details

Time bar (total: 900.0ms)

analyze343.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
25%25%50%2
25%25%50%3
31.2%18.7%50%4
31.2%18.7%50%5
34.3%15.6%50%6
34.3%15.6%50%7
35.9%14%50%8
35.9%14%50%9
36.7%13.3%50%10
36.7%13.3%50%11
37.1%12.9%50%12
37.1%12.9%50%13
37.3%12.7%50%14

sample43.0ms

Algorithm
intervals
Results
10.0ms202×body80valid
7.0ms13×body5120valid
4.0ms13×body2560valid
3.0ms256×pre80true
3.0ms13×body1280valid
1.0msbody640valid
1.0msbody320valid
0.0msbody160valid

simplify159.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
024923
124923

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.8b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 re re) (*.f64 im im))
0.0b
(sqrt.f64 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
1.0b
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
29.5b
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_559
pow1_binary64_520 add-log-exp_binary64_539
*-un-lft-identity_binary64_574
add-cube-cbrt_binary64_545 sqrt-prod_binary64_553
add-cbrt-cube_binary64_546 sqrt-div_binary64_554 add-exp-log_binary64_538
sqrt-pow1_binary64_555
flip3--_binary64_573 flip3-+_binary64_572 flip-+_binary64_599 pow1/2_binary64_510 flip--_binary64_600 difference-of-squares_binary64_603 associate-*r/_binary64_635
rem-sqrt-square_binary64_562 +-commutative_binary64_641 distribute-lft-out--_binary64_619 diff-log_binary64_490 sub-neg_binary64_578 sum-log_binary64_489 pow-prod-down_binary64_501
Counts
4 → 53
Calls
4 calls:
4.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
9.0ms
(sqrt.f64 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
8.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
7.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

series198.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+.f64 (*.f64 re re) (*.f64 im im))
113.0ms
(sqrt.f64 (*.f64 2 (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)))
28.0ms
(-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re)
36.0ms
(sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im)))

simplify80.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
054911130

prune17.0ms

Filtered
52 candidates to 65 candidates (-25.0%)

Profiling

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