Details

Time bar (total: 5.5s)

analyze618.0ms (11.2%)

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)

sample80.0ms (1.5%)

Algorithm
intervals
Results
35.0ms205×body128valid
22.0ms28×body1024valid
8.0ms15×body512valid
3.0msbody256valid
Compiler

Compiled 59 to 63 computations (-6.8% saved)

simplify138.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
0532539

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1
Compiler

Compiled 50 to 50 computations (0% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (sin.f64 ky) 2)
0.4b
(/.f64 1/2 (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))))))
1.8b
(*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
8.0b
(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)))))

rewrite48.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt_binary64_100
30×*-un-lft-identity_binary64_78
26×add-cube-cbrt_binary64_113
21×times-frac_binary64_84
19×add-exp-log_binary64_116
15×sqrt-prod_binary64_94
13×unpow-prod-down_binary64_157
12×associate-*l*_binary64_19
add-cbrt-cube_binary64_114
prod-exp_binary64_127 associate-/r*_binary64_22 pow1_binary64_139
associate-*r*_binary64_18
pow-exp_binary64_146 add-log-exp_binary64_117 unswap-sqr_binary64_46 sqrt-div_binary64_95
div-exp_binary64_129 flip-+_binary64_52 unpow2_binary64_143 sqr-pow_binary64_50 associate-/l*_binary64_23 pow-unpow_binary64_155 flip3-+_binary64_81
pow-to-exp_binary64_147 div-inv_binary64_75 associate-/r/_binary64_24 associate-*r/_binary64_20 distribute-lft-out_binary64_29
distribute-lft-in_binary64_27 *-commutative_binary64_9 sqrt-pow1_binary64_96 cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 rem-sqrt-square_binary64_91 distribute-rgt-in_binary64_28 frac-2neg_binary64_89 pow-pow_binary64_150 clear-num_binary64_77 pow1/2_binary64_158
Counts
4 → 113
Calls

4 calls:

17.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
10.0ms
(/.f64 1/2 (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))))))
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 ky) 2)

series1.2s (22.4%)

Counts
4 → 12
Calls

4 calls:

646.0ms
(/.f64 1/2 (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))))))
401.0ms
(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)))))
173.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
14.0ms
(pow.f64 (sin.f64 ky) 2)

simplify85.0ms (1.5%)

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
050304123

prune249.0ms (4.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1241125
Fresh000
Picked011
Done000
Total1242126

Merged error: 0b

Counts
126 → 2
Compiler

Compiled 4371 to 3307 computations (24.3% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022

Merged error: 0b

Counts
2 → 2
Compiler

Compiled 0 to 0 computations (0% saved)

regimes383.0ms (7%)

Compiler

Compiled 2375 to 2625 computations (-10.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02839
12839

end0.0ms (0%)

sample2.6s (47.8%)

Algorithm
intervals
Results
1.1s6379×body128valid
629.0ms757×body1024valid
303.0ms507×body512valid
131.0ms355×body256valid
2.0msbody2048valid
Compiler

Compiled 140 to 152 computations (-8.6% saved)

Profiling

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