Details

analyze273.0ms (6.1%)

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)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 45 to 25 computations (44.4% saved)

simplify129.0ms (2.9%)

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

5.9b

Counts

3 → 2

Alt Table

Status	Error	Program
	6.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))
▶	5.9b	(+.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))

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.im) (.f64 x.im x.re))
✓	0.1b	(+.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))
✓	0.2b	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
✓	5.5b	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)

series50.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

17.0ms	(+.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))
13.0ms	(.f64 (-.f64 (.f64 x.re x.re) (*.f64 x.im x.im)) x.im)
11.0ms	(.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re)
9.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

rewrite39.0ms (0.9%)

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 → 77

Calls

4 calls:

13.0ms	(+.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))
9.0ms	(.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)
4.0ms	(+.f64 (.f64 x.re x.im) (.f64 x.im x.re))

simplify78.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

727×	`distribute-rgt-in_binary64`
685×	`distribute-lft-in_binary64`
245×	`associate-l_binary64`
206×	`associate-r_binary64`
181×	`distribute-rgt-out_binary64`

Counts

173 → 139

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	146	2758
1	427	2398
2	1675	2360
3	4822	2360

prune130.0ms (2.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	132	7	139
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	133	8	141

Error

0.1b

Counts

141 → 8

Alt Table

Status	Error	Program
	6.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))
	18.6b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (cbrt.f64 (pow.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))) 3)))
	6.2b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) x.re))
	6.4b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im 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))
	6.2b	(+.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im x.im)) x.im) (.f64 (.f64 (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im 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))
	5.9b	(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))
	5.8b	(+.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))

Compiler

Compiled 4391 to 1017 computations (76.8% saved)

localize14.0ms (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.im)) (.f64 (+.f64 (.f64 x.re x.im) (*.f64 x.im x.re)) x.re))
	0.2b	(.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))

series27.0ms (0.6%)

Counts

2 → 48

Calls

2 calls:

15.0ms	(+.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))
12.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 59

Calls

2 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))
10.0ms	(.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im))

simplify107.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-l_binary64`
483×	`associate-r_binary64`
427×	`fma-neg_binary64`
304×	`distribute-rgt-out_binary64`
299×	`distribute-rgt-in_binary64`

Counts

107 → 103

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	3975
1	667	3223
2	3176	2270
3	4304	2268
4	4675	2268

prune194.0ms (4.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	158	8	166
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	163	11	174

Error

Counts

174 → 11

Alt Table

Status	Error	Program
	6.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))
	0.9b	(.f64 (.f64 (cbrt.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))) (cbrt.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)))) (cbrt.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))
	6.4b	(+.f64 (.f64 (.f64 (-.f64 (.f64 x.re x.re) (.f64 x.im 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))
	23.9b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (.f64 x.re (sqrt.f64 (.f64 2 (.f64 x.im x.re))))))
	0.6b	(+.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))
	33.7b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 2 (.f64 x.im x.re)) (sqrt.f64 x.re)) (sqrt.f64 x.re)))
	5.8b	(+.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))
	0.5b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))) (cbrt.f64 (.f64 x.re (.f64 2 (*.f64 x.im x.re))))))
	0.5b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re))
	0.5b	(+.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)))

Compiler

Compiled 6379 to 1478 computations (76.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.5%)

Counts

2 → 48

Calls

2 calls:

18.0ms	(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) x.im)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-l_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 34

Calls

2 calls:

5.0ms	(*.f64 (-.f64 x.re x.im) x.im)
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))

simplify92.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

834×	`fma-def_binary64`
381×	`*-commutative_binary64`
379×	`exp-prod_binary64`
293×	`fma-neg_binary64`
252×	`associate-l_binary64`

Counts

82 → 65

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	71	1147
1	144	995
2	409	995
3	1394	925
4	3300	925
5	4985	925
6	4958	925

prune170.0ms (3.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	123	5	128
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	131	8	139

Error

Counts

139 → 8

Alt Table

Status	Error	Program
▶	0.5b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re))
	0.5b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))))
	5.8b	(+.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))
	0.7b	(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))
	23.9b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (.f64 x.re (sqrt.f64 (.f64 2 (*.f64 x.im x.re))))))
	6.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))
	0.9b	(.f64 (.f64 (cbrt.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))) (cbrt.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)))) (cbrt.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))))
	12.9b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 x.im x.re)) 3)) x.re))

Compiler

Compiled 3471 to 849 computations (75.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (.f64 x.im x.re))))
✓	0.5b	(.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re))))
✓	14.5b	(cbrt.f64 (.f64 2 (.f64 x.im x.re)))

series1.2s (26%)

Counts

4 → 96

Calls

4 calls:

648.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re))))
409.0ms	(cbrt.f64 (.f64 2 (.f64 x.im x.re)))
59.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re)
55.0ms	(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (.f64 x.im x.re))))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`pow1_binary64`
20×	`add-exp-log_binary64`
16×	`pow1/3_binary64`
13×	`pow-prod-down_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 102

Calls

4 calls:

10.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re)
9.0ms	(.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (.f64 x.im x.re))))
5.0ms	(.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re))))
3.0ms	(cbrt.f64 (.f64 2 (.f64 x.im x.re)))

simplify141.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

588×	`unswap-sqr_binary64`
567×	`fma-def_binary64`
420×	`*-commutative_binary64`
249×	`exp-prod_binary64`
230×	`associate-l_binary64`

Counts

198 → 150

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	166	2996
1	336	2708
2	1033	2427
3	2103	2164
4	4534	2115
5	4996	2115
6	4994	2115

prune248.0ms (5.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	190	0	190
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	190	8	198

Error

Counts

198 → 8

Alt Table

Status	Error	Program
✓	0.5b	(+.f64 (.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im)) (.f64 (.f64 (.f64 (cbrt.f64 (.f64 2 (.f64 x.im x.re))) (cbrt.f64 (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 2 (*.f64 x.im x.re)))) x.re))
	0.5b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (.f64 (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re)))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))) (cbrt.f64 (.f64 x.re (.f64 2 (.f64 x.im x.re))))))
	5.8b	(+.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))
	0.7b	(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))
	23.9b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (sqrt.f64 (+.f64 (.f64 x.re x.im) (.f64 x.im x.re))) (.f64 x.re (sqrt.f64 (.f64 2 (*.f64 x.im x.re))))))
	6.0b	(.f64 x.im (fma.f64 x.re (.f64 x.re 3) (neg.f64 (*.f64 x.im x.im))))
	0.9b	(.f64 (.f64 (cbrt.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))) (cbrt.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)))) (cbrt.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))))
	12.9b	(fma.f64 (+.f64 x.re x.im) (.f64 (-.f64 x.re x.im) x.im) (.f64 (cbrt.f64 (pow.f64 (.f64 2 (.f64 x.im x.re)) 3)) x.re))

Compiler

Compiled 6939 to 3152 computations (54.6% saved)

regimes563.0ms (12.5%)

Accuracy

Total 0.2b remaining (86.9%)

Threshold costs 0.2b (86.9%)

Counts

174 → 1

Compiler

Compiled 13617 to 7215 computations (47% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-lft-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	21	26
2	25	26
3	27	26
4	28	26
5	27	26

end1.0ms (0%)

Compiler: Compiled 20 to 9 computations (55% saved)

sample912.0ms (20.3%)

Algorithm

1×

intervals

Results

493.0ms	8000×	body	128	valid
33.0ms	548×	body	128	invalid

Compiler

Compiled 286 to 139 computations (51.4% saved)

Details

analyze273.0ms (6.1%)

sample25.0ms (0.6%)

simplify129.0ms (2.9%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

series50.0ms (1.1%)

rewrite39.0ms (0.9%)

simplify78.0ms (1.7%)

prune130.0ms (2.9%)

localize14.0ms (0.3%)

series27.0ms (0.6%)

rewrite28.0ms (0.6%)

simplify107.0ms (2.4%)

prune194.0ms (4.3%)

localize12.0ms (0.3%)

series24.0ms (0.5%)

rewrite10.0ms (0.2%)

simplify92.0ms (2.1%)

prune170.0ms (3.8%)

localize14.0ms (0.3%)

series1.2s (26%)

rewrite33.0ms (0.7%)

simplify141.0ms (3.1%)

prune248.0ms (5.5%)

regimes563.0ms (12.5%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample912.0ms (20.3%)

Profiling