Details

analyze849.0ms (19.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	98
1	25	98
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
25%	74.9%	0.2%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

sort(x.re y.im)

sort(x.im y.re)

Compiler

Compiled 8 to 8 computations (0% saved)

sample32.0ms (0.7%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	53×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize11.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x.re y.im) (.f64 x.im y.re))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_799`
1×	`sum-log_binary64_851` `pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `*-un-lft-identity_binary64_760` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 178 to 42 computations (76.4% saved)

series140.0ms (3.2%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

130.0ms

(+.f64 (*.f64 x.re y.im) (*.f64 x.im y.re))

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify91.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4833	489
1	4833	489

prune19.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 312 to 63 computations (79.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
0.3b	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
0.8b	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
24.4b	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))

rewrite139.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

82×	`pow1_binary64_821`
34×	`pow-prod-down_binary64_831`
30×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
16×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
13×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
12×	`times-frac_binary64_766`
8×	`pow-prod-up_binary64_830` `pow-sqr_binary64_733`
6×	`add-log-exp_binary64_799`
5×	`difference-of-squares_binary64_729`
4×	`associate-/l*_binary64_705` `pow-plus_binary64_823`
3×	`flip3--_binary64_764` `flip--_binary64_735` `associate-/r*_binary64_704`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706` `pow2_binary64_841` `swap-sqr_binary64_727` `associate-l_binary64_701` `associate-r_binary64_700` `*-commutative_binary64_691`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 117

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
8.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
6.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))
6.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))

Compiler

Compiled 3865 to 500 computations (87.1% saved)

series1.0s (23.1%)

Error

Counts

4 → 60

Calls

4 calls:

451.0ms	(/.f64 (-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im))) (-.f64 (.f64 y.im x.re) (.f64 y.re x.im)))
360.0ms	(-.f64 (.f64 (.f64 y.im x.re) (.f64 y.im x.re)) (.f64 (.f64 y.re x.im) (.f64 y.re x.im)))
77.0ms	(.f64 (.f64 y.im x.re) (*.f64 y.im x.re))
75.0ms	(.f64 (.f64 y.re x.im) (*.f64 y.re x.im))

Compiler

Compiled 2364 to 1534 computations (35.1% saved)

simplify108.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5035	3058

prune132.0ms (3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	177	3	180

Error

Counts

180 → 3

Compiler

Compiled 3733 to 918 computations (75.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
0.3b	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
35.6b	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))

rewrite70.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_791`
9×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`unpow-prod-down_binary64_839` `cube-prod_binary64_788`
5×	`add-log-exp_binary64_799`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cube-div_binary64_789`
3×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow-unpow_binary64_837`
2×	`cbrt-div_binary64_792` `unpow3_binary64_826` `cube-mult_binary64_790` `sqr-pow_binary64_732`
1×	`pow1/3_binary64_842` `rem-cbrt-cube_binary64_784` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `rem-cube-cbrt_binary64_783` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

3 → 59

Calls

3 calls:

5.0ms	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))
4.0ms	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))

Compiler

Compiled 1234 to 391 computations (68.3% saved)

series614.0ms (14.2%)

Error

Counts

3 → 96

Calls

3 calls:

256.0ms	(pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3)
140.0ms	(+.f64 (.f64 y.re x.im) (.f64 y.im x.re))
138.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 y.re x.im) (.f64 y.im x.re)) 3))

Compiler

Compiled 3468 to 2755 computations (20.6% saved)

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5303	3766

prune118.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	155	3	158

Error

Counts

158 → 3

Compiler

Compiled 2378 to 1066 computations (55.2% saved)

regimes127.0ms (2.9%)

Accuracy

Total 0.0b remaining (26.5%)

Threshold costs 0.0b (26.5%)

Compiler

Compiled 1084 to 717 computations (33.9% saved)

bsearch0.0ms (0%)

simplify23.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	14
1	13	14

Removed

((sort x.im y.re) (sort x.re y.im))

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample722.0ms (16.7%)

Algorithm

1×

intervals

Results

202.0ms	8000×	body	128	valid
38.0ms	1467×	body	128	invalid

Compiler

Compiled 165 to 112 computations (32.1% saved)

Details

analyze849.0ms (19.6%)

sample32.0ms (0.7%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite13.0ms (0.3%)

series140.0ms (3.2%)

simplify91.0ms (2.1%)

prune19.0ms (0.4%)

localize12.0ms (0.3%)

rewrite139.0ms (3.2%)

series1.0s (23.1%)

simplify108.0ms (2.5%)

prune132.0ms (3%)

localize8.0ms (0.2%)

rewrite70.0ms (1.6%)

series614.0ms (14.2%)

simplify96.0ms (2.2%)

prune118.0ms (2.7%)

regimes127.0ms (2.9%)

bsearch0.0ms (0%)

simplify23.0ms (0.5%)

end0.0ms (0%)

sample722.0ms (16.7%)

Profiling