Details

analyze543.0ms (7.3%)

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
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 20 to 12 computations (40% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	18	30
2	18	30

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

26.9b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	26.9b	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 38 to 22 computations (42.1% 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))
0.8b	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
26.4b	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

rewrite108.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

26.8b

Rules

11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
9×	`times-frac_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms	(/.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))
3.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))

Compiler

Compiled 1456 to 191 computations (86.9% saved)

series158.0ms (2.1%)

Error

6.6b

Counts

3 → 60

Calls

3 calls:

75.0ms	(/.f64 (+.f64 (.f64 x.re y.re) (.f64 x.im y.im)) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
38.0ms	(+.f64 (.f64 x.re y.re) (.f64 x.im y.im))
24.0ms	(+.f64 (.f64 y.re y.re) (.f64 y.im y.im))

Compiler

Compiled 1816 to 1143 computations (37.1% saved)

simplify175.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

438×	`associate-l_binary64`
361×	`associate-r_binary64`
342×	`cancel-sign-sub-inv_binary64`
334×	`unswap-sqr_binary64`
277×	`times-frac_binary64`

Counts

113 → 66

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	2791
1	309	2576
2	894	2576
3	2728	2576
4	4575	2576
5	4977	2576
6	5050	2576

prune93.0ms (1.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	58	8	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	8	67

Error

26.6b

Counts

67 → 8

Alt Table

Status	Error	Program
	27.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))) (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))) (/.f64 (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	27.0b	(/.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))))
▶	26.8b	(/.f64 (/.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)))) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	27.3b	(.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))) (cbrt.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))) (cbrt.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))))
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) 3))
	26.9b	(+.f64 (/.f64 (.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	51.8b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 y.re 2) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (pow.f64 y.im 2)))) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	49.3b	(.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (-.f64 (pow.f64 y.re 4) (pow.f64 y.im 4))) (-.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))

Compiler

Compiled 1660 to 782 computations (52.9% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
14.9b	(/.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))))
30.1b	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
30.1b	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite217.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

Rules

43×	`*-un-lft-identity_binary64`
28×	`sqrt-prod_binary64`
25×	`add-sqr-sqrt_binary64`
24×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`

Counts

4 → 94

Calls

4 calls:

14.0ms	(/.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))))
7.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
4.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
4.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))

Compiler

Compiled 3122 to 1219 computations (61% saved)

series308.0ms (4.1%)

Error

22.9b

Counts

4 → 90

Calls

4 calls:

107.0ms	(/.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))))
50.0ms	(+.f64 (.f64 y.im x.im) (.f64 y.re x.re))
41.0ms	(sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
38.0ms	(sqrt.f64 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

Compiler

Compiled 4921 to 3062 computations (37.8% saved)

simplify213.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

545×	`associate-l_binary64`
480×	`times-frac_binary64`
383×	`associate-/l*_binary64`
222×	`associate-/r*_binary64`
195×	`cancel-sign-sub-inv_binary64`

Counts

184 → 91

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	5049
1	484	4736
2	1484	4736
3	4702	4724
4	4995	4724
5	4956	4724

prune101.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	87	4	91
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	88	11	99

Error

24.1b

Counts

99 → 11

Alt Table

Status	Error	Program
	47.7b	(/.f64 (neg.f64 x.re) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	27.3b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))) (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)))) (/.f64 (cbrt.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re))) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	38.1b	(/.f64 (.f64 (.f64 y.re x.re) (sqrt.f64 (/.f64 1 (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	48.1b	(/.f64 (neg.f64 x.im) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	27.0b	(/.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))))
	48.0b	(/.f64 (+.f64 x.im (/.f64 (.f64 y.re x.re) y.im)) (sqrt.f64 (+.f64 (.f64 y.re y.re) (*.f64 y.im y.im))))
✓	26.8b	(/.f64 (/.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)))) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) 3))
▶	26.9b	(+.f64 (/.f64 (.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 (.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	51.8b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 y.re 2) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (pow.f64 y.im 2)))) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))
	49.3b	(.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (-.f64 (pow.f64 y.re 4) (pow.f64 y.im 4))) (-.f64 (.f64 y.re y.re) (*.f64 y.im y.im)))

Compiler

Compiled 2154 to 1039 computations (51.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
0.0b	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
17.5b	(/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
20.3b	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))

rewrite195.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

22.2b

Rules

32×	`*-un-lft-identity_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`unpow-prod-down_binary64` `distribute-lft-out_binary64`
10×	`times-frac_binary64` `associate-/r*_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`

Counts

4 → 80

Calls

4 calls:

11.0ms	(/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
11.0ms	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
8.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 2418 to 1524 computations (37% saved)

series142.0ms (1.9%)

Error

9.4b

Counts

4 → 42

Calls

4 calls:

38.0ms	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
36.0ms	(/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
27.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))
25.0ms	(+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))

Compiler

Compiled 2051 to 1409 computations (31.3% saved)

simplify130.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

812×	`associate-/l*_binary64`
688×	`times-frac_binary64`
360×	`associate-l_binary64`
352×	`associate-/l/_binary64`
309×	`associate-*l/_binary64`

Counts

122 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2392
1	306	2096
2	1082	2072
3	4186	2072
4	4830	2072
5	4998	2072

prune122.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	83	8	91

Error

22.2b

Counts

91 → 8

Alt Table

Status	Error	Program
	47.7b	(/.f64 (neg.f64 x.re) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	27.6b	(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 y.re (/.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)) x.re)))
	25.9b	(+.f64 (/.f64 (.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (.f64 (/.f64 y.re (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.re (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2))))))
▶	25.0b	(+.f64 (.f64 (/.f64 y.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2))))) (/.f64 (.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
✓	26.8b	(/.f64 (/.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)))) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) 3))
	26.9b	(+.f64 (/.f64 y.im (/.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)) x.im)) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	51.8b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 y.re 2) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (pow.f64 y.im 2)))) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 2072 to 1330 computations (35.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(*.f64 (/.f64 y.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))))
20.3b	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
30.1b	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))
30.1b	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))

rewrite360.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

22.0b

Rules

78×	`*-un-lft-identity_binary64`
70×	`add-sqr-sqrt_binary64`
65×	`times-frac_binary64`
46×	`sqrt-prod_binary64`
38×	`add-cube-cbrt_binary64`

Counts

4 → 150

Calls

4 calls:

41.0ms	(*.f64 (/.f64 y.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))))
11.0ms	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))
8.0ms	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))

Compiler

Compiled 5790 to 3994 computations (31% saved)

series228.0ms (3.1%)

Error

13.6b

Counts

4 → 50

Calls

4 calls:

44.0ms	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))
44.0ms	(sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))
43.0ms	(/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2)))
39.0ms	(*.f64 (/.f64 y.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))))

Compiler

Compiled 3956 to 2781 computations (29.7% saved)

simplify231.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

492×	`associate-/l/_binary64`
435×	`associate-/r*_binary64`
426×	`*-commutative_binary64`
317×	`associate-/r/_binary64`
202×	`associate-/l*_binary64`

Counts

200 → 135

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	232	6220
1	623	5232
2	2000	5205
3	4324	5045
4	4805	4889
5	4972	4889

prune180.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	135	8	143

Error

21.9b

Counts

143 → 8

Alt Table

Status	Error	Program
	47.7b	(/.f64 (neg.f64 x.re) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	44.3b	(+.f64 (*.f64 (/.f64 y.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.im (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2))))) (/.f64 x.re (/.f64 (pow.f64 y.im 2) y.re)))
	27.6b	(+.f64 (/.f64 (*.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (/.f64 y.re (/.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)) x.re)))
	25.9b	(+.f64 (/.f64 (.f64 y.im x.im) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) (.f64 (/.f64 y.re (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)))) (/.f64 x.re (sqrt.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2))))))
	26.8b	(/.f64 (/.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)))) (sqrt.f64 (+.f64 (.f64 y.re y.re) (.f64 y.im y.im))))
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (+.f64 (.f64 y.im x.im) (.f64 y.re x.re)) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))) 3))
	26.9b	(+.f64 (/.f64 y.im (/.f64 (+.f64 (pow.f64 y.im 2) (pow.f64 y.re 2)) x.im)) (/.f64 (*.f64 y.re x.re) (+.f64 (pow.f64 y.re 2) (pow.f64 y.im 2))))
	51.8b	(/.f64 (/.f64 (-.f64 (.f64 (pow.f64 y.re 2) (.f64 x.re x.re)) (.f64 x.im (.f64 x.im (pow.f64 y.im 2)))) (-.f64 (.f64 y.re x.re) (.f64 y.im x.im))) (+.f64 (.f64 y.re y.re) (.f64 y.im y.im)))

Compiler

Compiled 3571 to 2390 computations (33.1% saved)

regimes2.8s (37.1%)

Accuracy

Total -9.7b remaining (-80.1%)

Threshold costs -9.7b (-80.1%)

Compiler

Compiled 24000 to 14879 computations (38% saved)

bsearch78.0ms (1%)

Steps

Iters	Range		Point
9	4.146140289781323e+109	6.008679106363925e+115	5.930099859978519e+115
7	5.208322098593769e-72	8.795153836527808e-70	4.876955999112138e-70
7	-5.865718281125135e-127	-4.351613317658361e-129	-1.8263209635399904e-128
10	-2.7954449958866835e+155	-2.267835907518318e+140	-1.3591271380374226e+150

Compiler

Compiled 5 to 4 computations (20% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	304
1	45	304
2	45	304

end4.0ms (0.1%)

Compiler: Compiled 171 to 120 computations (29.8% saved)

sample1.0s (13.5%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
23.0ms	473×	body	128	invalid

Compiler

Compiled 420 to 291 computations (30.7% saved)

Details

analyze543.0ms (7.3%)

sample26.0ms (0.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite108.0ms (1.5%)

series158.0ms (2.1%)

simplify175.0ms (2.3%)

prune93.0ms (1.2%)

localize19.0ms (0.2%)

rewrite217.0ms (2.9%)

series308.0ms (4.1%)

simplify213.0ms (2.9%)

prune101.0ms (1.4%)

localize13.0ms (0.2%)

rewrite195.0ms (2.6%)

series142.0ms (1.9%)

simplify130.0ms (1.7%)

prune122.0ms (1.6%)

localize16.0ms (0.2%)

rewrite360.0ms (4.8%)

series228.0ms (3.1%)

simplify231.0ms (3.1%)

prune180.0ms (2.4%)

regimes2.8s (37.1%)

bsearch78.0ms (1%)

simplify8.0ms (0.1%)

end4.0ms (0.1%)

sample1.0s (13.5%)

Profiling