Details

analyze619.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	210
1	45	210
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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.3%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
0.0ms	11×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	30
1	18	30

prune3.0ms (0%)

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

27.2b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
1.0b	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
26.7b	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite86.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

27.0b

Rules

11×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
9×	`times-frac_binary64_766`
7×	`add-log-exp_binary64_799`
5×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
4×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`pow1_binary64_821` `associate-/l_binary64_705` `associate-/r_binary64_704`
2×	`associate-/l/_binary64_707` `associate-/r/_binary64_706` `sum-log_binary64_851` `+-commutative_binary64_690`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757`

Counts

3 → 53

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))
4.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series552.0ms (5.5%)

Error

5.8b

Counts

3 → 60

Calls

3 calls:

292.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
134.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
86.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))

Compiler

Compiled 2046 to 1284 computations (37.2% saved)

simplify104.0ms (1%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5051	2576

prune111.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	7	113
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Error

5.7b

Counts

114 → 7

Compiler

Compiled 2244 to 826 computations (63.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
19.6b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
28.0b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
28.0b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite168.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

43×	`*-un-lft-identity_binary64_760`
28×	`sqrt-prod_binary64_776`
25×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
23×	`add-cube-cbrt_binary64_795`
10×	`unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
8×	`associate-/r*_binary64_704`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 94

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
10.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
4.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3563 to 1385 computations (61.1% saved)

series938.0ms (9.4%)

Error

5.7b

Counts

4 → 97

Calls

4 calls:

427.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
150.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
135.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
128.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 6064 to 3816 computations (37.1% saved)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5080	5015

prune243.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	189	2	191
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	189	9	198

Error

5.7b

Counts

198 → 9

Compiler

Compiled 5871 to 2417 computations (58.8% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.0b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
19.6b	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
28.0b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
28.0b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite213.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

47×	`*-un-lft-identity_binary64_760`
30×	`sqrt-prod_binary64_776`
25×	`add-sqr-sqrt_binary64_782`
24×	`times-frac_binary64_766`
23×	`add-cube-cbrt_binary64_795`
12×	`unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
8×	`associate-/r*_binary64_704`
6×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `sqrt-div_binary64_777`
5×	`flip3-+_binary64_763` `flip-+_binary64_734`
3×	`associate-/l*_binary64_705`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `associate-/l/_binary64_707` `associate-/r/_binary64_706`
1×	`div-exp_binary64_811` `cbrt-undiv_binary64_794` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 96

Calls

4 calls:

15.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))

Compiler

Compiled 3813 to 2242 computations (41.2% saved)

series987.0ms (9.9%)

Error

5.7b

Counts

4 → 97

Calls

4 calls:

433.0ms	(/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
149.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
142.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
132.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 6510 to 4930 computations (24.3% saved)

simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

193 → 193

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4967	5036
1	4967	5036

prune314.0ms (3.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	192	1	193
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	193	9	202

Error

5.7b

Counts

202 → 9

Compiler

Compiled 6286 to 3778 computations (39.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
0.7b	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))))
1.0b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
26.1b	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))

rewrite311.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

5.7b

Rules

140×	`*-un-lft-identity_binary64_760`
138×	`times-frac_binary64_766`
72×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
34×	`unpow-prod-down_binary64_839` `distribute-lft-out_binary64_711`
24×	`associate-/r*_binary64_704`
17×	`add-exp-log_binary64_798`
11×	`add-cbrt-cube_binary64_796` `associate-/r/_binary64_706`
8×	`div-exp_binary64_811` `add-log-exp_binary64_799` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705`
6×	`div-inv_binary64_757`
5×	`pow1_binary64_821`
4×	`cbrt-undiv_binary64_794`
2×	`frac-2neg_binary64_771` `clear-num_binary64_759` `associate-/l/_binary64_707` `sum-log_binary64_851` `+-commutative_binary64_690` `1-exp_binary64_804` `rec-exp_binary64_810`
1×	`inv-pow_binary64_845` `pow-flip_binary64_834`

Counts

4 → 171

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))))
13.0ms	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
8.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))

Compiler

Compiled 5627 to 2756 computations (51% saved)

series991.0ms (9.9%)

Error

5.7b

Counts

4 → 99

Calls

4 calls:

348.0ms	(/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))
304.0ms	(/.f64 1 (/.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)) (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))))
156.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
89.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 5094 to 3712 computations (27.1% saved)

simplify175.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4959	9891
1	4959	9891

prune324.0ms (3.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	267	3	270
Fresh	0	6	6
Picked	1	0	1
Done	1	1	2
Total	269	10	279

Error

4.0b

Counts

279 → 10

Compiler

Compiled 6857 to 3319 computations (51.6% saved)

regimes1.5s (14.8%)

Accuracy

Total 12.0b remaining (81%)

Threshold costs 0b (0%)

Compiler

Compiled 9399 to 5988 computations (36.3% saved)

bsearch111.0ms (1.1%)

Steps

Iters	Range		Point
11	3.5258933153762734e+105	1.6351102655646967e+127	7.209708152359667e+112
10	2.2633122578921704e-51	1.5739680033115058e-36	2.9487954389346176e-51
10	-1.6829135818675383e-148	-9.938513297602945e-163	-2.1406143414976796e-151
9	-5.969828367347171e+59	-8.830120869436967e+54	-3.1233684702464424e+55

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	172
1	47	172

end0.0ms (0%)

sample2.0s (20%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
18.0ms	467×	body	128	invalid

Compiler

Compiled 1944 to 1237 computations (36.4% saved)

Details

analyze619.0ms (6.2%)

sample25.0ms (0.3%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize10.0ms (0.1%)

rewrite86.0ms (0.9%)

series552.0ms (5.5%)

simplify104.0ms (1%)

prune111.0ms (1.1%)

localize17.0ms (0.2%)

rewrite168.0ms (1.7%)

series938.0ms (9.4%)

simplify74.0ms (0.7%)

prune243.0ms (2.4%)

localize14.0ms (0.1%)

rewrite213.0ms (2.1%)

series987.0ms (9.9%)

simplify107.0ms (1.1%)

prune314.0ms (3.1%)

localize12.0ms (0.1%)

rewrite311.0ms (3.1%)

series991.0ms (9.9%)

simplify175.0ms (1.8%)

prune324.0ms (3.2%)

regimes1.5s (14.8%)

bsearch111.0ms (1.1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.0s (20%)

Profiling