Details

analyze482.0ms (4.3%)

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample6.4s (57.7%)

Results

3.3s	5013×	body	1024	valid
1.1s	2033×	body	1024	invalid
723.0ms	1801×	body	512	valid
405.0ms	430×	body	2048	valid
378.0ms	1098×	body	512	invalid
156.0ms	619×	body	256	valid
127.0ms	513×	body	256	invalid
110.0ms	785×	body	128	invalid
55.0ms	393×	body	128	valid

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

626×	`associate-/l*_binary64`
509×	`div-sub_binary64`
462×	`times-frac_binary64`
386×	`sub-neg_binary64`
367×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	22	18
2	49	18
3	111	18
4	208	17
5	362	17
6	692	17
7	1513	17
8	3726	17
9	4287	17
10	4857	17
11	4749	17

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

58.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	58.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 53 to 38 computations (28.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
✓	6.7b	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

series18.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

16.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
2.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

rewrite91.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

524×	`prod-diff_binary64`
473×	`log-prod_binary64`
198×	`fma-def_binary64`
178×	`expm1-udef_binary64`
178×	`log1p-udef_binary64`

Counts

2 → 117

Calls

2 calls:

88.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
88.0ms	(-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	251	24
2	2461	20
3	4888	20
4	5310	20
0	0	0
1	0	0

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

575×	`fma-def_binary64`
431×	`sub-neg_binary64`
364×	`distribute-rgt-neg-in_binary64`
344×	`distribute-lft-neg-in_binary64`
287×	`neg-mul-1_binary64`

Counts

153 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	753
1	277	735
2	938	706
3	3460	706
4	4642	706
5	4946	706

prune72.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	144	2	146

Error

0.1b

Counts

146 → 2

Alt Table

Status	Error	Program
▶	0.9b	(neg.f64 (fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))))
✓	58.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 2755 to 1498 computations (45.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (pow.f64 im 5) 1/120)
✓	0.1b	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
✓	0.1b	(fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120))))
✓	0.1b	(*.f64 (pow.f64 im 3) 1/6)

series64.0ms (0.6%)

Counts

4 → 72

Calls

4 calls:

29.0ms	(fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120))))
27.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
4.0ms	(*.f64 (pow.f64 im 3) 1/6)
3.0ms	(*.f64 (pow.f64 im 5) 1/120)

rewrite70.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

436×	`fma-def_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`
215×	`fma-neg_binary64`
159×	`add-sqr-sqrt_binary64`

Counts

4 → 117

Calls

4 calls:

68.0ms	(*.f64 (pow.f64 im 5) 1/120)
68.0ms	(.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))
68.0ms	(fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120))))
68.0ms	(*.f64 (pow.f64 im 3) 1/6)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	58
1	328	55
2	3772	55
3	5042	55
0	0	0
1	0	0

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

819×	`sub-neg_binary64`
765×	`fma-def_binary64`
453×	`cancel-sign-sub-inv_binary64`
433×	`associate--l+_binary64`
395×	`associate-l_binary64`

Counts

189 → 148

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	79	1632
1	252	1459
2	1019	1327
3	4549	1327
4	5385	1327

prune170.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	143	5	148
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	143	7	150

Error

0.1b

Counts

150 → 7

Alt Table

Status	Error	Program
✓	0.9b	(neg.f64 (fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))))
	36.2b	(neg.f64 (exp.f64 (log.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))))
	30.7b	(neg.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 im 3) (fma.f64 (pow.f64 re 4) 1/144 1/6) (fma.f64 im (.f64 (pow.f64 re 4) 1/24) (.f64 1/120 (pow.f64 im 5)))) (fma.f64 (pow.f64 im 5) (.f64 1/2880 (pow.f64 re 4)) im)) (fma.f64 im (.f64 1/2 (.f64 re re)) (.f64 (.f64 re re) (+.f64 (.f64 1/12 (pow.f64 im 3)) (*.f64 1/240 (pow.f64 im 5)))))))
	39.8b	(neg.f64 (cbrt.f64 (pow.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))) 3)))
	33.8b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2))
▶	2.4b	(neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2)))
✓	58.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 4247 to 2854 computations (32.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))
✓	0.3b	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2))
✓	0.5b	(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2)
✓	0.7b	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))

series1.2s (10.4%)

Counts

4 → 96

Calls

4 calls:

572.0ms	(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2)
526.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))
27.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2))
26.0ms	(.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))

rewrite75.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

881×	`prod-diff_binary64`
173×	`add-sqr-sqrt_binary64`
168×	`log1p-expm1-u_binary64`
168×	`expm1-log1p-u_binary64`
164×	`add-cbrt-cube_binary64`

Counts

4 → 102

Calls

4 calls:

72.0ms	(.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))
72.0ms	(.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2))
72.0ms	(pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2)
72.0ms	(cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	369	95
2	3961	95
3	5441	95
0	0	0
1	0	0

simplify284.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

633×	`associate-r_binary64`
562×	`fma-def_binary64`
513×	`associate-l_binary64`
243×	`associate-+l+_binary64`
177×	`*-commutative_binary64`

Counts

198 → 163

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	441	6536
1	1432	6067
2	5169	6067

prune375.0ms (3.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	220	3	223
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	222	8	230

Error

0.0b

Counts

230 → 8

Alt Table

Status	Error	Program
	33.8b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2))
	29.0b	(neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (cbrt.f64 (.f64 (pow.f64 (fma.f64 1/120 (pow.f64 im 5) (fma.f64 1/6 (pow.f64 im 3) im)) 2) (pow.f64 (cos.f64 re) 2)))))
✓	0.9b	(neg.f64 (fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))))
	30.7b	(neg.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 im 3) (fma.f64 (pow.f64 re 4) 1/144 1/6) (fma.f64 im (.f64 (pow.f64 re 4) 1/24) (.f64 1/120 (pow.f64 im 5)))) (fma.f64 (pow.f64 im 5) (.f64 1/2880 (pow.f64 re 4)) im)) (fma.f64 im (.f64 1/2 (.f64 re re)) (.f64 (.f64 re re) (+.f64 (.f64 1/12 (pow.f64 im 3)) (*.f64 1/240 (pow.f64 im 5)))))))
	39.8b	(neg.f64 (cbrt.f64 (.f64 (pow.f64 (cos.f64 re) 3) (pow.f64 (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))) 3))))
▶	28.6b	(neg.f64 (/.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))
✓	2.4b	(neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2)))
✓	58.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))

Compiler

Compiled 16664 to 12611 computations (24.3% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re))
✓	0.1b	(pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)
✓	0.1b	(fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))
✓	27.7b	(/.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))

series198.0ms (1.8%)

Counts

4 → 72

Calls

4 calls:

140.0ms	(/.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))
50.0ms	(.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re))
4.0ms	(fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))
4.0ms	(pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)

rewrite90.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

558×	`prod-diff_binary64`
199×	`add-sqr-sqrt_binary64`
196×	`log1p-expm1-u_binary64`
196×	`expm1-log1p-u_binary64`
189×	`add-cbrt-cube_binary64`

Counts

4 → 110

Calls

4 calls:

86.0ms	(.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re))
86.0ms	(pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)) 2)
86.0ms	(fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))
86.0ms	(/.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	106
1	421	81
2	4728	81
3	5712	81
0	0	0
1	0	0

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

409×	`fma-neg_binary64`
321×	`cancel-sign-sub-inv_binary64`
285×	`fma-def_binary64`
231×	`associate-+r+_binary64`
201×	`sub-neg_binary64`

Counts

182 → 164

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	196	3187
1	640	3175
2	2415	3064
3	4762	3046
4	4992	3046

prune273.0ms (2.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	190	3	193
Fresh	2	2	4
Picked	0	1	1
Done	0	3	3
Total	192	9	201

Error

0.0b

Counts

201 → 9

Alt Table

Status	Error	Program
	33.8b	(neg.f64 (pow.f64 (sqrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) 2))
	28.6b	(neg.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (.f64 (cos.f64 re) (/.f64 1 (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120)))))))
✓	58.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0 im)) (exp.f64 im)))
	1.1b	(neg.f64 (pow.f64 (/.f64 1 (.f64 (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))) (cos.f64 re))) -1))
✓	0.9b	(neg.f64 (fma.f64 im (cos.f64 re) (.f64 (cos.f64 re) (+.f64 (.f64 (pow.f64 im 3) 1/6) (*.f64 (pow.f64 im 5) 1/120)))))
	30.7b	(neg.f64 (-.f64 (+.f64 (fma.f64 (pow.f64 im 3) (fma.f64 (pow.f64 re 4) 1/144 1/6) (fma.f64 im (.f64 (pow.f64 re 4) 1/24) (.f64 1/120 (pow.f64 im 5)))) (fma.f64 (pow.f64 im 5) (.f64 1/2880 (pow.f64 re 4)) im)) (fma.f64 im (.f64 1/2 (.f64 re re)) (.f64 (.f64 re re) (+.f64 (.f64 1/12 (pow.f64 im 3)) (*.f64 1/240 (pow.f64 im 5)))))))
	28.6b	(neg.f64 (.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (/.f64 1 (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))))
✓	28.6b	(neg.f64 (/.f64 (.f64 (-.f64 (.f64 im im) (pow.f64 (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)) 2)) (cos.f64 re)) (-.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120)))))
✓	2.4b	(neg.f64 (.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (.f64 (pow.f64 im 5) 1/120))))) (pow.f64 (cbrt.f64 (.f64 (cos.f64 re) (+.f64 im (fma.f64 (pow.f64 im 3) 1/6 (*.f64 (pow.f64 im 5) 1/120))))) 2)))

Compiler

Compiled 9053 to 6622 computations (26.9% saved)

regimes677.0ms (6.1%)

Accuracy

Total 0.7b remaining (91.4%)

Threshold costs 0.7b (91.4%)

Counts

97 → 1

Compiler

Compiled 15148 to 11564 computations (23.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	27
1	21	27
2	23	27
3	24	27
4	24	27

end224.0ms (2%)

Compiler: Compiled 324 to 246 computations (24.1% saved)

Details

analyze482.0ms (4.3%)

sample6.4s (57.7%)

simplify82.0ms (0.7%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series18.0ms (0.2%)

rewrite91.0ms (0.8%)

simplify69.0ms (0.6%)

prune72.0ms (0.7%)

localize11.0ms (0.1%)

series64.0ms (0.6%)

rewrite70.0ms (0.6%)

simplify74.0ms (0.7%)

prune170.0ms (1.5%)

localize13.0ms (0.1%)

series1.2s (10.4%)

rewrite75.0ms (0.7%)

simplify284.0ms (2.6%)

prune375.0ms (3.4%)

localize15.0ms (0.1%)

series198.0ms (1.8%)

rewrite90.0ms (0.8%)

simplify97.0ms (0.9%)

prune273.0ms (2.5%)

regimes677.0ms (6.1%)

simplify3.0ms (0%)

end224.0ms (2%)

Profiling