Details

analyze602.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
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)

sample83.0ms (0.8%)

Algorithm

1×

intervals

Results

32.0ms	196×	body	128	valid
17.0ms	22×	body	1024	valid
15.0ms	26×	body	512	valid
4.0ms	12×	body	256	valid

Compiler

Compiled 59 to 63 computations (-6.8% saved)

simplify137.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5325	39

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

1.0b

Counts

2 → 1

Compiler

Compiled 50 to 50 computations (0% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 ky) 2)
0.3b	(pow.f64 (sin.f64 kx) 2)
2.8b	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
10.1b	(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)))))

rewrite200.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.9b

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`
7×	`pow1_binary64_139`
6×	`add-cbrt-cube_binary64_114` `prod-exp_binary64_127` `pow-unpow_binary64_155`
5×	`pow-exp_binary64_146` `associate-r_binary64_18`
4×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46` `unpow2_binary64_143` `sqr-pow_binary64_50`
3×	`sqrt-prod_binary64_94` `pow-to-exp_binary64_147` `times-frac_binary64_84`
2×	`flip3-+_binary64_81` `sqrt-div_binary64_95` `flip-+_binary64_52` `div-exp_binary64_129` `associate-*r/_binary64_20` `distribute-lft-out_binary64_29` `pow-pow_binary64_150`
1×	`pow1/2_binary64_158` `sqrt-pow1_binary64_96` `rem-sqrt-square_binary64_91` `cbrt-unprod_binary64_111` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `div-inv_binary64_75` `*-commutative_binary64_9`

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)))
3.0ms	(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)
3.0ms	(pow.f64 (sin.f64 kx) 2)

Compiler

Compiled 3187 to 2402 computations (24.6% saved)

series1.7s (16.7%)

Error

0.0b

Counts

4 → 41

Calls

4 calls:

1.0s	(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)))))
580.0ms	(.f64 (pow.f64 (/.f64 (.f64 2 l) Om) 2) (+.f64 (pow.f64 (sin.f64 kx) 2) (pow.f64 (sin.f64 ky) 2)))
24.0ms	(pow.f64 (sin.f64 ky) 2)
21.0ms	(pow.f64 (sin.f64 kx) 2)

Compiler

Compiled 4168 to 3672 computations (11.9% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4990	3189
1	4990	3189

prune237.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	130	2	132

Error

0.0b

Counts

132 → 2

Compiler

Compiled 4058 to 2998 computations (26.1% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

5.5b	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)
5.5b	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)
26.1b	(sqrt.f64 (/.f64 1 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om)))))
26.5b	(sqrt.f64 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))))

rewrite569.0ms (5.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`times-frac_binary64_84`
41×	`add-sqr-sqrt_binary64_100`
40×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
24×	`unpow-prod-down_binary64_157`
16×	`associate-/l*_binary64_23`
15×	`sqrt-prod_binary64_94`
14×	`add-exp-log_binary64_116`
11×	`pow1_binary64_139`
8×	`add-cbrt-cube_binary64_114` `sqrt-div_binary64_95` `unpow2_binary64_143` `sqr-pow_binary64_50`
7×	`associate-/r/_binary64_24`
6×	`sqrt-pow1_binary64_96` `frac-times_binary64_88` `associate-r/_binary64_20` `div-exp_binary64_129` `associate-/r_binary64_22`
4×	`add-log-exp_binary64_117` `frac-add_binary64_86` `flip3-+_binary64_81` `flip-+_binary64_52`
3×	`div-inv_binary64_75`
2×	`pow1/2_binary64_158` `pow-prod-down_binary64_149` `associate-*l/_binary64_21` `pow-flip_binary64_152` `pow-to-exp_binary64_147` `pow-exp_binary64_146` `cbrt-undiv_binary64_112` `frac-2neg_binary64_89` `clear-num_binary64_77`
1×	`inv-pow_binary64_163` `rem-sqrt-square_binary64_91`

Counts

4 → 144

Calls

4 calls:

46.0ms	(sqrt.f64 (/.f64 1 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om)))))
41.0ms	(sqrt.f64 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))))
6.0ms	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)
6.0ms	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)

Compiler

Compiled 8686 to 5765 computations (33.6% saved)

series1.5s (14.9%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

682.0ms	(sqrt.f64 (/.f64 1 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om)))))
559.0ms	(sqrt.f64 (*.f64 (/.f64 4 Om) (+.f64 (/.f64 (pow.f64 (sin.f64 ky) 2) Om) (/.f64 (pow.f64 (sin.f64 kx) 2) Om))))
119.0ms	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)
110.0ms	(/.f64 (pow.f64 (sin.f64 ky) 2) Om)

Compiler

Compiled 5091 to 3846 computations (24.5% saved)

simplify80.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4961	3777
1	4961	3777

prune534.0ms (5.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	180	2	182

Error

0.0b

Counts

182 → 2

Compiler

Compiled 9935 to 6507 computations (34.5% saved)

regimes1.2s (11.5%)

Accuracy

Total 1.1b remaining (97.5%)

Threshold costs 0b (0%)

Compiler

Compiled 14319 to 13251 computations (7.5% saved)

bsearch5.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	129
1	54	129

end0.0ms (0%)

sample3.3s (32.1%)

Algorithm

1×

intervals

Results

1.1s	6336×	body	128	valid
631.0ms	798×	body	1024	valid
464.0ms	580×	body	512	valid
100.0ms	284×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 798 to 722 computations (9.5% saved)

Details

analyze602.0ms (5.8%)

sample83.0ms (0.8%)

simplify137.0ms (1.3%)

prune5.0ms (0%)

localize20.0ms (0.2%)

rewrite200.0ms (1.9%)

series1.7s (16.7%)

simplify76.0ms (0.7%)

prune237.0ms (2.3%)

localize30.0ms (0.3%)

rewrite569.0ms (5.5%)

series1.5s (14.9%)

simplify80.0ms (0.8%)

prune534.0ms (5.1%)

regimes1.2s (11.5%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (32.1%)

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