Details

analyze179.0ms (5.4%)

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%	62.4%	12.6%	6
31.2%	50%	18.8%	7
40.6%	37.5%	22%	8
45.3%	26.5%	28.2%	9
46.8%	19.5%	33.7%	10
48.8%	14%	37.2%	11
51.7%	10.1%	38.1%	12
52.8%	7.1%	40.1%	13
53.3%	5.1%	41.6%	14

Compiler

Compiled 22 to 12 computations (45.5% saved)

sample1.1s (32.9%)

Results

949.0ms	8256×	body	128	valid
47.0ms	408×	body	128	invalid

Compiler

Compiled 65 to 35 computations (46.2% saved)

simplify122.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

680×	`unsub-neg_binary64`
594×	`fma-neg_binary64`
560×	`sub-neg_binary64`
520×	`fma-def_binary64`
399×	`cancel-sign-sub-inv_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	30	25
2	71	23
3	194	16
4	573	14
5	1779	14
6	3048	14
7	4137	14
8	4615	14
9	4749	14
10	4784	14
11	4907	14
12	4998	14

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

8.4b

Counts

3 → 2

Alt Table

Status	Error	Program
	8.5b	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) -3)))
▶	8.4b	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))

Compiler

Compiled 97 to 51 computations (47.4% saved)

localize10.0ms (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))
✓	0.1b	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
✓	0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	7.9b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)

series49.0ms (1.5%)

Counts

4 → 96

Calls

4 calls:

18.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
16.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
10.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
5.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

rewrite24.0ms (0.7%)

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 → 79

Calls

4 calls:

7.0ms	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
5.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.re)
5.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
3.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

simplify114.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

245×	`times-frac_binary64`
240×	`associate-l_binary64`
214×	`associate-r_binary64`
204×	`fma-neg_binary64`
200×	`distribute-rgt-out_binary64`

Counts

175 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	156	2858
1	447	2479
2	1756	2377
3	3539	2365
4	4775	2365
5	5089	2365

prune118.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	135	7	142
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	136	8	144

Error

0.0b

Counts

144 → 8

Alt Table

Status	Error	Program
	19.5b	(-.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re) (cbrt.f64 (pow.f64 (.f64 2 (.f64 x.re (.f64 x.im x.im))) 3)))
	8.9b	(-.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
▶	0.2b	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	8.9b	(-.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.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	8.5b	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) -3)))
	46.4b	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x.re x.re) 3) (pow.f64 (.f64 x.im x.im) 3)) x.re) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	8.4b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re (neg.f64 (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)))
	8.3b	(-.f64 (pow.f64 x.re 3) (.f64 3 (.f64 x.re (pow.f64 x.im 2))))

Compiler

Compiled 4458 to 945 computations (78.8% saved)

localize10.0ms (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))
✓	0.1b	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	0.1b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)
✓	0.2b	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))

series25.0ms (0.8%)

Counts

2 → 48

Calls

2 calls:

14.0ms	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
11.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`associate-*l/_binary64`
17×	`flip-+_binary64`
17×	`flip3-+_binary64`
16×	`frac-sub_binary64`
12×	`frac-times_binary64`

Counts

2 → 61

Calls

2 calls:

11.0ms	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
7.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))

simplify100.0ms (3%)

Algorithm

1×	egg-herbie

Rules

567×	`fma-neg_binary64`
525×	`associate-l_binary64`
507×	`associate-r_binary64`
326×	`neg-sub0_binary64`
325×	`neg-mul-1_binary64`

Counts

109 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3168
1	732	2601
2	3424	2376
3	4095	2376
4	4702	2376

prune158.0ms (4.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	167	10	177

Error

0.0b

Counts

177 → 10

Alt Table

Status	Error	Program
	0.9b	(.f64 (.f64 (cbrt.f64 (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))) (cbrt.f64 (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im)))) (cbrt.f64 (-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))))
	8.9b	(-.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) (.f64 (cbrt.f64 x.re) (cbrt.f64 x.re))) (cbrt.f64 x.re)) (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) x.im))
	8.5b	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) -3)))
	10.5b	(-.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)) (.f64 (cbrt.f64 (.f64 (.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re)) (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)))) x.im))
	0.7b	(-.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.re))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	46.4b	(-.f64 (/.f64 (.f64 (-.f64 (pow.f64 (.f64 x.re x.re) 3) (pow.f64 (.f64 x.im x.im) 3)) x.re) (+.f64 (.f64 (.f64 x.re x.re) (.f64 x.re x.re)) (+.f64 (.f64 (.f64 x.im x.im) (.f64 x.im x.im)) (.f64 (.f64 x.re x.re) (.f64 x.im x.im))))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
▶	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))
	8.4b	(fma.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.re (neg.f64 (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im)))
	0.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	8.3b	(-.f64 (pow.f64 x.re 3) (.f64 3 (.f64 x.re (pow.f64 x.im 2))))

Compiler

Compiled 6454 to 1464 computations (77.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 x.re x.im) x.re)
✓	0.0b	(.f64 2 (.f64 x.re x.im))
✓	0.1b	(.f64 x.im (.f64 2 (*.f64 x.re x.im)))
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))

series39.0ms (1.2%)

Counts

4 → 72

Calls

4 calls:

17.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))
10.0ms	(.f64 x.im (.f64 2 (*.f64 x.re x.im)))
7.0ms	(*.f64 (-.f64 x.re x.im) x.re)
5.0ms	(.f64 2 (.f64 x.re x.im))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
20×	`pow1_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`

Counts

4 → 77

Calls

4 calls:

5.0ms	(.f64 x.im (.f64 2 (*.f64 x.re x.im)))
4.0ms	(*.f64 (-.f64 x.re x.im) x.re)
4.0ms	(.f64 2 (.f64 x.re x.im))
0.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))

simplify83.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

798×	`fma-def_binary64`
590×	`fma-neg_binary64`
401×	`*-commutative_binary64`
288×	`unswap-sqr_binary64`
263×	`associate-+l+_binary64`

Counts

149 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1941
1	284	1669
2	944	1623
3	1958	1541
4	4786	1541
5	5251	1541

prune144.0ms (4.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	7	2	9
Picked	0	1	1
Done	0	0	0
Total	119	8	127

Error

0.0b

Counts

127 → 8

Alt Table

Status	Error	Program
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re)) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re))) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re))) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))
	0.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))) (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im))))))) (cbrt.f64 (fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))))
	19.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 (sqrt.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))) (sqrt.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))))
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))
	8.5b	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) -3)))
▶	0.4b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im))))))
	0.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	8.3b	(fma.f64 -3 (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re 3))

Compiler

Compiled 3009 to 1162 computations (61.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x.re x.im))))
✓	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im))))))
✓	0.3b	(.f64 (sqrt.f64 2) (.f64 x.re x.im))
✓	0.4b	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im)))

series98.0ms (3%)

Counts

4 → 96

Calls

4 calls:

34.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im))))))
30.0ms	(.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x.re x.im))))
24.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im)))
10.0ms	(.f64 (sqrt.f64 2) (.f64 x.re x.im))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64`
32×	`add-exp-log_binary64`
32×	`pow1_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`

Counts

4 → 85

Calls

4 calls:

12.0ms	(.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (.f64 x.re x.im))))
7.0ms	(.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im)))
5.0ms	(.f64 (sqrt.f64 2) (.f64 x.re x.im))
0.0ms	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im))))))

simplify101.0ms (3%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-neg_binary64`
541×	`fma-def_binary64`
502×	`*-commutative_binary64`
302×	`distribute-rgt-in_binary64`
284×	`associate-r_binary64`

Counts

181 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	120	2296
1	294	2018
2	1047	1972
3	2026	1884
4	4825	1884
5	5208	1884

prune167.0ms (5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	130	8	138

Error

Counts

138 → 8

Alt Table

Status	Error	Program
	19.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 (sqrt.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))) (sqrt.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))))
	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 x.re x.im)))))))
	8.5b	(.f64 x.re (fma.f64 x.re x.re (.f64 (*.f64 x.im x.im) -3)))
	0.7b	(fma.f64 (+.f64 x.re x.im) (.f64 (.f64 (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re)) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re))) (cbrt.f64 (.f64 (-.f64 x.re x.im) x.re))) (neg.f64 (.f64 x.im (.f64 2 (.f64 x.re x.im)))))
✓	0.4b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (*.f64 x.re x.im))))))
	0.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (cbrt.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re)))) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.im))
	8.3b	(fma.f64 -3 (.f64 x.re (.f64 x.im x.im)) (pow.f64 x.re 3))
	0.2b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.re) (neg.f64 (.f64 x.im (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 (sqrt.f64 2)) (.f64 (sqrt.f64 2) (.f64 x.re x.im)))))))

Compiler

Compiled 3562 to 1787 computations (49.8% saved)

regimes460.0ms (13.9%)

Accuracy

Total 0.2b remaining (94%)

Threshold costs 0.2b (94%)

Counts

145 → 1

Compiler

Compiled 11794 to 6389 computations (45.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
7×	`+-commutative_binary64`
6×	`distribute-lft-neg-in_binary64`
6×	`distribute-rgt-neg-in_binary64`
6×	`sub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	26	23
2	42	23
3	54	23
4	60	23
5	63	23
6	64	23
7	63	23

end124.0ms (3.7%)

Compiler: Compiled 246 to 135 computations (45.1% saved)

Details

analyze179.0ms (5.4%)

sample1.1s (32.9%)

simplify122.0ms (3.7%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

series49.0ms (1.5%)

rewrite24.0ms (0.7%)

simplify114.0ms (3.4%)

prune118.0ms (3.6%)

localize10.0ms (0.3%)

series25.0ms (0.8%)

rewrite26.0ms (0.8%)

simplify100.0ms (3%)

prune158.0ms (4.8%)

localize9.0ms (0.3%)

series39.0ms (1.2%)

rewrite17.0ms (0.5%)

simplify83.0ms (2.5%)

prune144.0ms (4.3%)

localize11.0ms (0.3%)

series98.0ms (3%)

rewrite29.0ms (0.9%)

simplify101.0ms (3%)

prune167.0ms (5%)

regimes460.0ms (13.9%)

simplify3.0ms (0.1%)

end124.0ms (3.7%)

Profiling