Details

Time bar (total: 932.0ms)

analyze627.0ms (67.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
49.9%49.9%0.2%3
49.9%49.9%0.2%4
49.9%49.9%0.2%5
49.9%49.9%0.2%6
74.9%25%0.2%7
74.9%25%0.2%8
74.9%25%0.2%9
74.9%25%0.2%10
87.3%12.5%0.2%11
87.3%12.5%0.2%12
87.3%12.5%0.2%13
87.3%12.5%0.2%14
Compiler

Compiled 30 to 30 computations (0% saved)

sample85.0ms (9.1%)

Algorithm
intervals
Results
40.0ms207×body128valid
17.0ms20×body1024valid
12.0ms19×body512valid
4.0ms10×body256valid
Compiler

Compiled 59 to 63 computations (-6.8% saved)

simplify141.0ms (15.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
0532539

prune5.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
1.5b
Counts
2 → 1
Compiler

Compiled 50 to 50 computations (0% saved)

localize20.0ms (2.1%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (sin.f64 ky) 2)
0.3b
(pow.f64 (sin.f64 kx) 2)
2.9b
(*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
7.8b
(sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))

rewrite34.0ms (3.7%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_100
18×add-exp-log_binary64_116
17×*-un-lft-identity_binary64_78
16×unpow-prod-down_binary64_157
13×add-cube-cbrt_binary64_113
12×associate-*l*_binary64_19
pow1_binary64_139
add-cbrt-cube_binary64_114 prod-exp_binary64_127 pow-unpow_binary64_155
pow-exp_binary64_146 associate-*r*_binary64_18
add-log-exp_binary64_117 unpow2_binary64_143 sqr-pow_binary64_50 unswap-sqr_binary64_46
sqrt-prod_binary64_94 pow-to-exp_binary64_147 times-frac_binary64_84
div-exp_binary64_129 flip-+_binary64_52 pow-pow_binary64_150 sqrt-div_binary64_95 associate-*r/_binary64_20 distribute-lft-out_binary64_29 flip3-+_binary64_81
distribute-lft-in_binary64_27 *-commutative_binary64_9 sqrt-pow1_binary64_96 cbrt-unprod_binary64_111 rem-sqrt-square_binary64_91 distribute-rgt-in_binary64_28 div-inv_binary64_75 pow1/2_binary64_158
Counts
4 → 90
Calls

4 calls:

16.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
4.0ms
(sqrt.f64 (+.f64 1 (*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))))
3.0ms
(pow.f64 (sin.f64 kx) 2)
3.0ms
(pow.f64 (sin.f64 ky) 2)

series21.0ms (2.2%)

Compiler

Compiled 42 to 44 computations (-4.8% saved)

end0.0ms (0%)

Profiling

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