Details

Time bar (total: 7.7s)

analyze615.0ms

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

sample98.0ms

Algorithm
intervals
Results
35.0ms193×body80valid
20.0ms26×body640valid
19.0ms17×body1280valid
7.0ms12×body320valid
3.0ms8×body160valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0488229
1488229

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.3b

Counts
2 → 1

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow.f64 (sin.f64 ky) 2.0)
0.3b
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
3.1b
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
30×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
21×times-frac_binary64
19×add-exp-log_binary64
15×sqrt-prod_binary64
13×unpow-prod-down_binary64
11×associate-*l*_binary64
8×add-cbrt-cube_binary64
6×associate-/r*_binary64 pow1_binary64 prod-exp_binary64
5×associate-*r*_binary64
4×add-log-exp_binary64 pow-exp_binary64 sqrt-div_binary64
3×flip3-+_binary64 pow-unpow_binary64 sqr-pow_binary64 unswap-sqr_binary64 associate-/l*_binary64 div-exp_binary64 flip-+_binary64
2×pow-to-exp_binary64 distribute-lft-out_binary64 associate-*r/_binary64 associate-/r/_binary64 div-inv_binary64
1×pow1/2_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 pow-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 110
Calls
4 calls:
3.0ms
(pow.f64 (sin.f64 ky) 2.0)
7.0ms
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
15.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
4.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

series562.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(pow.f64 (sin.f64 ky) 2.0)
240.0ms
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
123.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
179.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

simplify65.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
052972653

prune194.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1202122
Fresh000
Picked101
Done000
Total1212123

Merged error: 0.8b

Counts
123 → 2

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
2.8b
(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
3.1b
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
39×times-frac_binary64
38×add-cube-cbrt_binary64
25×log-pow_binary64
24×sqrt-prod_binary64 exp-prod_binary64
18×add-exp-log_binary64
11×associate-*l*_binary64
10×unpow-prod-down_binary64
8×add-cbrt-cube_binary64
6×associate-/r*_binary64 pow1_binary64 prod-exp_binary64 sqrt-div_binary64
5×associate-*r*_binary64
4×flip3-+_binary64 add-log-exp_binary64 associate-/r/_binary64 flip-+_binary64
3×log-prod_binary64 unswap-sqr_binary64 associate-/l*_binary64 div-inv_binary64 div-exp_binary64 pow-exp_binary64
2×distribute-lft-out_binary64 associate-*r/_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 rem-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 129
Calls
4 calls:
7.0ms
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
9.0ms
(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
15.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
4.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))
227.0ms
(log.f64 (exp.f64 (/.f64 1.0 (sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0))))))))
122.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
177.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

simplify66.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049673379
149673379

prune255.0ms

Filtered
98 candidates to 141 candidates (-43.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1401141
Fresh011
Picked011
Done000
Total1403143

Merged error: 0.8b

Counts
143 → 3

localize34.0ms

Local error

Found 4 expressions with local error:

3.1b
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
3.1b
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
7.8b
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
7.8b
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
28×add-exp-log_binary64
26×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64 associate-*l*_binary64
20×unpow-prod-down_binary64
14×add-cube-cbrt_binary64
12×prod-exp_binary64
10×associate-*r*_binary64
8×add-cbrt-cube_binary64
6×pow1_binary64 unswap-sqr_binary64 times-frac_binary64 sqrt-prod_binary64 pow-exp_binary64
4×flip3-+_binary64 add-log-exp_binary64 distribute-lft-out_binary64 associate-*r/_binary64 sqr-pow_binary64 div-exp_binary64 flip-+_binary64 sqrt-div_binary64
2×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 div-inv_binary64 *-commutative_binary64
Counts
4 → 104
Calls
4 calls:
15.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
15.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
4.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
4.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

series596.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
122.0ms
(*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))
175.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))
176.0ms
(sqrt.f64 (+.f64 1.0 (*.f64 (pow.f64 (/.f64 (*.f64 2.0 l) Om) 2.0) (+.f64 (pow.f64 (sin.f64 kx) 2.0) (pow.f64 (sin.f64 ky) 2.0)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049292330
149292330

prune293.0ms

Filtered
82 candidates to 116 candidates (-41.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh011
Picked011
Done011
Total1163119

Merged error: 0.8b

Counts
119 → 3

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done022
Total033

Merged error: 0.8b

Counts
3 → 3

regimes889.0ms

Accuracy

0% (0.4b remaining)

Error of 1.0b against oracle of 0.6b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03031
13031

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s6214×body80valid
628.0ms551×body1280valid
522.0ms640×body640valid
230.0ms375×body320valid
84.0ms220×body160valid

Profiling

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