Details

analyze184.0ms (4.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
31.2%	50%	18.8%	7
34.3%	43.7%	22%	8
45.3%	26.5%	28.2%	9
46.8%	23.4%	29.8%	10
48.8%	14%	37.2%	11
49.8%	12.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	6.1%	40.6%	14

Compiler

Compiled 22 to 12 computations (45.5% saved)

sample1.1s (28.1%)

Results

933.0ms	8256×	body	128	valid
65.0ms	607×	body	128	invalid

Compiler

Compiled 65 to 35 computations (46.2% saved)

simplify128.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

613×	`sub-neg_binary64`
578×	`fma-neg_binary64`
529×	`neg-mul-1_binary64`
501×	`neg-sub0_binary64`
455×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	26	23
2	60	23
3	130	16
4	335	16
5	881	16
6	1496	16
7	3511	16
8	4061	16
9	3977	16
10	4614	16
11	4771	16
12	4918	16
13	4914	16

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

8.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	8.7b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	9.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))

Compiler

Compiled 100 to 54 computations (46% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))
✓	0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	0.2b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	8.2b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

series41.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

12.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
10.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
9.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
8.0ms	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

rewrite25.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64`
12×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-cube-cbrt_binary64`
8×	`add-cbrt-cube_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
5.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
5.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
3.0ms	(-.f64 (.f64 x.re x.re) (.f64 x.im x.im))

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-neg_binary64`
405×	`cancel-sign-sub-inv_binary64`
345×	`unswap-sqr_binary64`
229×	`associate-l_binary64`
193×	`associate-r_binary64`

Counts

176 → 143

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	154	3209
1	432	2746
2	1684	2496
3	3172	2485
4	4867	2485

prune117.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	137	6	143
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	138	7	145

Error

0.1b

Counts

145 → 7

Alt Table

Status	Error	Program
	24.6b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))))
	9.1b	(+.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) (.f64 (cbrt.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im))) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	9.0b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (cbrt.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)))) (.f64 x.re (cbrt.f64 (.f64 2 (.f64 x.im x.re))))))
▶	0.3b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	8.6b	(+.f64 (.f64 1 (-.f64 (.f64 x.im (.f64 x.re x.re)) (pow.f64 x.im 3))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	8.7b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	9.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))

Compiler

Compiled 4441 to 949 computations (78.6% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 x.re x.im) x.im)
	0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	0.2b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
✓	0.2b	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

series35.0ms (0.9%)

Counts

3 → 72

Calls

3 calls:

14.0ms

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

12.0ms

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

9.0ms

(*.f64 (-.f64 x.re x.im) x.im)

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`associate-*l/_binary64`
18×	`flip-+_binary64`
18×	`flip3-+_binary64`
16×	`frac-add_binary64`
12×	`frac-times_binary64`

Counts

3 → 83

Calls

3 calls:

10.0ms

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

7.0ms

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

4.0ms

(*.f64 (-.f64 x.re x.im) x.im)

simplify113.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-l_binary64`
526×	`associate-r_binary64`
306×	`distribute-rgt-out_binary64`
303×	`distribute-rgt-in_binary64`
291×	`distribute-lft-in_binary64`

Counts

155 → 144

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	197	4461
1	710	3616
2	3393	2663
3	4379	2663
4	4644	2663

prune172.0ms (4.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	175	8	183
Fresh	4	2	6
Picked	1	0	1
Done	0	0	0
Total	180	10	190

Error

0.0b

Counts

190 → 10

Alt Table

Status	Error	Program
	0.6b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))
	24.6b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))))
	8.6b	(+.f64 (-.f64 (.f64 (pow.f64 x.re 2) x.im) (pow.f64 x.im 3)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	24.3b	(.f64 (sqrt.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))) (sqrt.f64 (+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))))
▶	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.8b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.8b	(+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 x.re x.im)) (cbrt.f64 (+.f64 x.re x.im))) (.f64 (cbrt.f64 (+.f64 x.re x.im)) (.f64 (-.f64 x.re x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	8.7b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.7b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x.re x.im) x.im)) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))

Compiler

Compiled 6721 to 1467 computations (78.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
	0.0b	(*.f64 (-.f64 x.re x.im) x.im)
	0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

series21.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
6.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 24

Calls

2 calls:

3.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))
0.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))

simplify67.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-neg_binary64`
587×	`distribute-rgt-out_binary64`
567×	`distribute-rgt-in_binary64`
489×	`distribute-lft-in_binary64`
320×	`distribute-lft-out_binary64`

Counts

72 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	1033
1	130	895
2	418	894
3	1391	884
4	4494	884
5	4971	884

prune140.0ms (3.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	3	9
Picked	0	1	1
Done	0	0	0
Total	129	10	139

Error

0.0b

Counts

139 → 10

Alt Table

Status	Error	Program
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (-.f64 x.re x.im)) (cbrt.f64 (-.f64 x.re x.im))) (.f64 x.im (cbrt.f64 (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	24.3b	(.f64 (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))) (sqrt.f64 (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))))
▶	0.6b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)))
	8.6b	(+.f64 (-.f64 (.f64 (pow.f64 x.re 2) x.im) (pow.f64 x.im 3)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.8b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	18.7b	(fma.f64 (+.f64 x.re x.im) (cbrt.f64 (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (-.f64 x.re x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (.f64 x.im (-.f64 x.re x.im))) (cbrt.f64 (.f64 x.im (-.f64 x.re x.im)))) (cbrt.f64 (.f64 x.im (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	20.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))))

Compiler

Compiled 3641 to 805 computations (77.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re))
✓	0.2b	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
✓	0.5b	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
✓	0.5b	(cbrt.f64 x.re)

series418.0ms (10.7%)

Counts

4 → 72

Calls

4 calls:

327.0ms	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
34.0ms	(cbrt.f64 x.re)
33.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
23.0ms	(.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re))

rewrite36.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64`
56×	`add-exp-log_binary64`
39×	`pow-prod-down_binary64`
38×	`cbrt-unprod_binary64`
38×	`prod-exp_binary64`

Counts

4 → 123

Calls

4 calls:

15.0ms	(.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re))
8.0ms	(.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)))
4.0ms	(*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))
1.0ms	(cbrt.f64 x.re)

simplify145.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

464×	`sqr-pow_binary64`
363×	`associate-l_binary64`
349×	`log-prod_binary64`
337×	`exp-prod_binary64`
331×	`associate-r_binary64`

Counts

195 → 158

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	149	2554
1	321	2204
2	1346	2117
3	2117	2005
4	3628	1897
5	4623	1883
6	4980	1883
7	4877	1883

prune225.0ms (5.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	2	6	8
Picked	1	0	1
Done	1	0	1
Total	196	8	204

Error

0.0b

Counts

204 → 8

Alt Table

Status	Error	Program
	8.6b	(+.f64 (-.f64 (.f64 (pow.f64 x.re 2) x.im) (pow.f64 x.im 3)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	9.0b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 (.f64 x.re x.re) x.im))) (cbrt.f64 (.f64 2 (.f64 (.f64 x.re x.re) x.im)))) (cbrt.f64 (.f64 2 (.f64 (*.f64 x.re x.re) x.im)))))
	0.8b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (-.f64 x.re x.im) (.f64 (cbrt.f64 x.im) (cbrt.f64 x.im))) (cbrt.f64 x.im)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	18.7b	(fma.f64 (+.f64 x.re x.im) (cbrt.f64 (.f64 (.f64 (.f64 (-.f64 x.re x.im) x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (-.f64 x.re x.im) x.im))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (.f64 x.im (-.f64 x.re x.im))) (cbrt.f64 (.f64 x.im (-.f64 x.re x.im)))) (cbrt.f64 (.f64 x.im (-.f64 x.re x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))
	0.7b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.6b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 2 (.f64 x.im x.re)) (.f64 (*.f64 (cbrt.f64 x.re) (cbrt.f64 x.re)) (cbrt.f64 x.re))))
	20.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re)) (sqrt.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.re))))

Compiler

Compiled 5855 to 1691 computations (71.1% saved)

regimes638.0ms (16.3%)

Accuracy

Total 0.2b remaining (85%)

Threshold costs 0.2b (85%)

Counts

187 → 1

Compiler

Compiled 14796 to 7575 computations (48.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
3×	`*-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	16	29
2	21	29
3	23	29
4	24	29
5	24	29

end117.0ms (3%)

Compiler: Compiled 300 to 132 computations (56% saved)

Details

analyze184.0ms (4.7%)

sample1.1s (28.1%)

simplify128.0ms (3.3%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

series41.0ms (1.1%)

rewrite25.0ms (0.6%)

simplify99.0ms (2.5%)

prune117.0ms (3%)

localize10.0ms (0.3%)

series35.0ms (0.9%)

rewrite32.0ms (0.8%)

simplify113.0ms (2.9%)

prune172.0ms (4.4%)

localize11.0ms (0.3%)

series21.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify67.0ms (1.7%)

prune140.0ms (3.6%)

localize15.0ms (0.4%)

series418.0ms (10.7%)

rewrite36.0ms (0.9%)

simplify145.0ms (3.7%)

prune225.0ms (5.7%)

regimes638.0ms (16.3%)

simplify2.0ms (0.1%)

end117.0ms (3%)

Profiling