Metrics for math.sqrt on complex, imaginary part, im greater than 0 branch

analyze448.0ms (4.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
50%	25%	25%	50%	0%	0%	0%	2
50%	25%	25%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
62.5%	31.2%	18.7%	50%	0%	0%	0%	5
68.8%	34.3%	15.6%	50%	0%	0%	0%	6
68.8%	34.3%	15.6%	50%	0%	0%	0%	7
71.9%	35.9%	14%	50%	0%	0%	0%	8
71.9%	35.9%	14%	50%	0%	0%	0%	9
73.4%	36.7%	13.3%	50%	0%	0%	0%	10
73.4%	36.7%	13.3%	50%	0%	0%	0%	11
74.2%	37.1%	12.9%	50%	0%	0%	0%	12

Compiler

Compiled 20 to 14 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 382.0ms

ival-mult: 331.0ms (86.6% of total)

ival-sqrt: 32.0ms (8.4% of total)

ival-sub: 6.0ms (1.6% of total)

ival-add: 6.0ms (1.6% of total)

ival->: 5.0ms (1.3% of total)

const: 1.0ms (0.3% of total)

backward-pass: 0.0ms (0% of total)

sample2.2s (20.8%)

Results

724.0ms	6327×	0	valid
713.0ms	1040×	1	valid
306.0ms	889×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 1.4s

ival-sqrt: 673.0ms (46.5% of total)

ival-mult: 386.0ms (26.7% of total)

ival->: 148.0ms (10.2% of total)

ival-add: 85.0ms (5.9% of total)

ival-sub: 78.0ms (5.4% of total)

backward-pass: 60.0ms (4.1% of total)

const: 17.0ms (1.2% of total)

Bogosity

preprocess85.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

334×	`fma-define`
301×	`fma-neg`
68×	`distribute-rgt-in`
56×	`distribute-lft-neg-in`
56×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	274
1	94	266
2	180	266
3	341	266
4	562	266
5	723	266
6	917	266
7	1224	266
8	1452	266
9	1479	266

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))) (neg.f64 re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))) re))))
(neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))) (neg.f64 re))))))
(neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) im))))

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))) (neg.f64 re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 im im))) (neg.f64 re))))))
(.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) (neg.f64 re)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal -1/2 binary64))
(neg.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 (neg.f64 im) (neg.f64 im)))) re)))))
(.f64 #s(literal -1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 im im) (.f64 re re))) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) im))))

Symmetry

(abs im)

explain374.0ms (3.5%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
135	-	4	(1.7428207449464651e-162 3.9531938102680193e-215)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
35	-	0	-	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
27	-	0	-	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`re`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`

Results

194.0ms	374×	0	valid
20.0ms	76×	1	valid
63.0ms	62×	2	valid

Compiler

Compiled 173 to 38 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 237.0ms

ival-sub: 108.0ms (45.6% of total)

ival-sqrt: 97.0ms (41% of total)

ival-mult: 21.0ms (8.9% of total)

backward-pass: 6.0ms (2.5% of total)

ival-add: 4.0ms (1.7% of total)

const: 1.0ms (0.4% of total)

eval0.0ms (0%)

Compiler: Compiled 12 to 9 computations (25% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
▶	38.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))

Status

Accuracy

Program

▶

77.5%

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))

▶

38.2%

(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (*.f64 re re) (*.f64 im im))) re))))

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize222.0ms (2.1%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (hypot.f64 re im) re)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓	cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	cost-diff	320	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
✓	cost-diff	320	(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	cost-diff	320	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	accuracy	90.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓	accuracy	87.0%	(-.f64 (hypot.f64 re im) re)
✓	accuracy	100.0%	(+.f64 (.f64 re re) (.f64 im im))
✓	accuracy	90.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	accuracy	87.0%	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	accuracy	51.6%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Rules

203×	`fma-define`
201×	`fma-define`
142×	`fma-neg`
141×	`fma-neg`
39×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	196
1	26	196
2	39	196
3	59	196
4	86	196
5	115	196
6	186	196
7	290	196
8	416	196
9	495	196
10	611	196
11	683	196
12	705	196
13	743	196
14	792	196
15	849	196
16	884	196
17	894	196
0	15	143
1	23	143
2	37	143
3	59	143
4	86	143
5	115	143
6	186	143
7	290	143
8	414	143
9	493	143
10	609	143
11	681	143
12	705	143
13	745	143
14	794	143
15	851	143
16	886	143
17	896	143

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (hypot.f64 re im) re)
(hypot.f64 re im)
re
im

Call 2

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(+.f64 (.f64 re re) (.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
#s(literal 2 binary64)
(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(hypot.f64 re im)
(+.f64 (.f64 re re) (.f64 im im))
(fma.f64 re re (*.f64 im im))
(*.f64 re re)
re
(*.f64 im im)
im

Results

50.0ms	187×	0	valid
15.0ms	38×	1	valid
22.0ms	31×	2	valid

Compiler

Compiled 115 to 18 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 15.0ms (33.9% of total)

ival-hypot: 10.0ms (22.6% of total)

ival-sqrt: 8.0ms (18.1% of total)

ival-sub: 4.0ms (9% of total)

backward-pass: 4.0ms (9% of total)

ival-add: 2.0ms (4.5% of total)

const: 1.0ms (2.3% of total)

series54.0ms (0.5%)

Counts

10 → 240

Calls

Call 1

Inputs
#<alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))>
#<alt (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))>
#<alt (+.f64 (.f64 re re) (.f64 im im))>
#<alt (-.f64 (hypot.f64 re im) re)>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))>
#<alt (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))>

Outputs
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt (+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))>
#<alt re>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt re>
#<alt (+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))>
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#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/1024 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 re))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 re) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -2 binary64) re) (.f64 #s(literal 2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (-.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))) #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (/.f64 (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 im #s(literal 2 binary64))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (pow.f64 im #s(literal 2 binary64))))) re)>
#<alt (*.f64 #s(literal -4 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 4 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/64 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 re im)) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 re im)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 re im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) re) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im))) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -2 binary64) re) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im))) im)))))>

Calls

60 calls:

Time	Variable		Point	Expression
5.0ms	re	@	0	(sqrt (+ (* re re) (* im im)))
2.0ms	im	@	-inf	(+ (* re re) (* im im))
2.0ms	re	@	-inf	(* 1/2 (sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re))))
2.0ms	im	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms	re	@	-inf	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))

rewrite323.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`log1p-expm1-u`
1076×	`expm1-log1p-u`
538×	`fma-define`
223×	`fma-neg`
184×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	277
1	306	272
2	3132	272

Stop Event

1×	node limit

Counts

10 → 363

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
(+.f64 (.f64 re re) (.f64 im im))
(-.f64 (hypot.f64 re im) re)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))

Outputs
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 re im))) #s(literal 1 binary64))
(*.f64 (hypot.f64 re im) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (hypot.f64 re im))
(*.f64 (cbrt.f64 (hypot.f64 re im)) (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) (cbrt.f64 (hypot.f64 re im)))
(*.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (sqrt.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))
(/.f64 (hypot.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 re #s(literal 4 binary64)) (-.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (*.f64 re im) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (hypot.f64 re im) #s(literal 1 binary64))
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(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (hypot.f64 re im)) (.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (hypot.f64 re im)) (.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))

simplify329.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

797×	`fma-define`
765×	`associate-r`
683×	`associate-l`
429×	`distribute-rgt-in`
427×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	945	34868
1	2691	33309

Stop Event

1×	node limit

Counts

603 → 586

Calls

Call 1

Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (.f64 re (-.f64 (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)
(*.f64 #s(literal -2 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
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(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) (hypot.f64 re im)) (.f64 #s(literal 2 binary64) (neg.f64 re)))
(+.f64 (.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))

Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) re)
(neg.f64 re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) re)
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (neg.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))) (neg.f64 im))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (neg.f64 re))
(-.f64 im re)
(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
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(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)) im)
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(sqrt.f64 (.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(cbrt.f64 (pow.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(+.f64 (.f64 #s(literal 2 binary64) (hypot.f64 re im)) (.f64 #s(literal 2 binary64) (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(+.f64 (.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 (neg.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(pow.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 4 binary64)))
(sqrt.f64 (*.f64 #s(literal 4 binary64) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(expm1.f64 (log1p.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(log1p.f64 (expm1.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(exp.f64 (log.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(fma.f64 (hypot.f64 re im) #s(literal 2 binary64) (*.f64 (neg.f64 re) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))
(fma.f64 #s(literal 2 binary64) (hypot.f64 re im) (*.f64 #s(literal 2 binary64) (neg.f64 re)))
(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))

eval138.0ms (1.3%)

Compiler: Compiled 14728 to 3156 computations (78.6% saved)

prune256.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	572	14	586
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	574	14	588

Accuracy

99.8%

Counts

588 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	76.9%	(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
▶	28.1%	(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
	18.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 im (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) #s(literal -1/16 binary64)))))
	28.1%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
	28.1%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
▶	15.1%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
	14.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))))
	26.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
▶	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
▶	6.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
	52.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
▶	77.5%	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))

Compiler

Compiled 410 to 314 computations (23.4% saved)

localize481.0ms (4.5%)

Algorithm

5×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) re)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
✓	cost-diff	0	(pow.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓	cost-diff	0	(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	cost-diff	128	(-.f64 re re)
✓	cost-diff	256	(*.f64 #s(literal 2 binary64) (-.f64 re re))
✓	cost-diff	256	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
✓	cost-diff	0	(*.f64 im #s(literal 2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	cost-diff	0	(hypot.f64 im re)
✓	cost-diff	0	(-.f64 (hypot.f64 im re) re)
✓	cost-diff	0	(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(sqrt.f64 #s(literal 1/2 binary64))
✓	accuracy	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
✓	accuracy	99.8%	(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
✓	accuracy	99.2%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(pow.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	accuracy	94.6%	(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓	accuracy	81.9%	(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
✓	accuracy	100.0%	(-.f64 re re)
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (-.f64 re re))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
✓	accuracy	100.0%	(*.f64 im #s(literal 2 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
✓	accuracy	100.0%	(hypot.f64 im re)
✓	accuracy	100.0%	(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓	accuracy	90.7%	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓	accuracy	87.0%	(-.f64 (hypot.f64 im re) re)

Rules

203×	`fma-define`
141×	`fma-neg`
121×	`associate-r`
74×	`associate-l`
42×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	104
1	20	104
2	34	104
3	56	104
4	83	104
5	112	104
6	183	104
7	287	104
8	413	104
9	493	104
10	609	104
11	681	104
12	703	104
13	741	104
14	790	104
15	847	104
16	882	104
17	892	104
0	11	50
1	13	50
0	12	24
1	18	24
2	21	24
3	23	24
4	25	24
5	30	24
6	34	24
7	39	24
0	14	91
1	16	91
2	18	91
3	19	91
0	19	170
1	34	170
2	72	170
3	202	170
4	300	170
5	304	170

Stop Event

1×	saturated
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
im
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Outputs
(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(.f64 (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))))
im
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
#s(literal 1 binary64)
re
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 1/2 binary64))
#s(literal 1/2 binary64)

Call 2

Inputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re

Outputs
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(pow.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
re

Call 3

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 2 binary64)
(-.f64 re re)
re

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
#s(literal 0 binary64)
#s(literal 2 binary64)
(-.f64 re re)
#s(literal 0 binary64)
re

Call 4

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)

Call 5

Inputs
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)

Outputs
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)

Results

54.0ms	126×	0	invalid
63.0ms	61×	0	valid
103.0ms	37×	1	valid
66.0ms	32×	2	valid

Compiler

Compiled 150 to 29 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 141.0ms

ival-mult: 60.0ms (42.6% of total)

ival-sqrt: 53.0ms (37.7% of total)

ival-hypot: 9.0ms (6.4% of total)

backward-pass: 6.0ms (4.3% of total)

ival-div: 5.0ms (3.6% of total)

ival-sub: 4.0ms (2.8% of total)

ival-pow: 4.0ms (2.8% of total)

const: 1.0ms (0.7% of total)

series60.0ms (0.6%)

Counts

21 → 268

Calls

Call 1

Inputs
#<alt (-.f64 (hypot.f64 im re) re)>
#<alt (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))>
#<alt (hypot.f64 im re)>
#<alt (sqrt.f64 (*.f64 im #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))>
#<alt (*.f64 im #s(literal 2 binary64))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))>
#<alt (*.f64 #s(literal 2 binary64) (-.f64 re re))>
#<alt (-.f64 re re)>
#<alt (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (pow.f64 im #s(literal 2 binary64))>
#<alt (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) re))>
#<alt (sqrt.f64 #s(literal 1/2 binary64))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) re)>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))>
#<alt im>
#<alt (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 re im))))>
#<alt (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im)))>
#<alt (.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im)))>
#<alt (*.f64 #s(literal -1 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) re) im)))))>
#<alt im>
#<alt (+.f64 im (*.f64 #s(literal -1 binary64) re))>
#<alt (+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (+.f64 im (.f64 re (-.f64 (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))>
#<alt (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
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#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (*.f64 im (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>

Calls

81 calls:

Time	Variable		Point	Expression
8.0ms	re	@	inf	(* (sqrt (/ 1 re)) (* (* (sqrt 2) (sqrt 1/2)) 1/2))
3.0ms	re	@	-inf	(sqrt (* (- (sqrt (+ (* im im) (* re re))) re) 1/2))
2.0ms	im	@	0	(* 1/2 (sqrt (* im 2)))
2.0ms	re	@	0	(sqrt (/ (pow im 2) re))
1.0ms	im	@	0	(* im (* (sqrt (/ 1 re)) (* (* (sqrt 2) (sqrt 1/2)) 1/2)))

rewrite245.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

976×	`log1p-expm1-u`
510×	`prod-diff`
198×	`expm1-log1p-u`
197×	`pow1`
197×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	303
1	586	275
2	5623	275

Stop Event

1×	node limit

Counts

21 → 411

Calls

Call 1

Inputs
(-.f64 (hypot.f64 im re) re)
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(hypot.f64 im re)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(*.f64 im #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 re re)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
(*.f64 #s(literal 2 binary64) (-.f64 re re))
(-.f64 re re)
(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(pow.f64 im #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(sqrt.f64 #s(literal 1/2 binary64))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(/.f64 #s(literal 1 binary64) re)

Outputs
(+.f64 (hypot.f64 im re) (neg.f64 re))
(+.f64 (hypot.f64 im re) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (-.f64 (hypot.f64 im re) re) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 im re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (hypot.f64 im re) #s(literal 1 binary64) (neg.f64 (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 im re) (neg.f64 (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 #s(literal 1 binary64) (hypot.f64 im re) (neg.f64 (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 #s(literal -1 binary64) re re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 re)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) re))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 im re)) (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (neg.f64 (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 im re)) (neg.f64 (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 im re)) (neg.f64 (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (hypot.f64 im re)) (neg.f64 (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64))) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (.f64 (/.f64 (cbrt.f64 re) #s(literal 1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 (hypot.f64 im re)) (neg.f64 (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re)))) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64))) (sqrt.f64 re) (.f64 (/.f64 (sqrt.f64 re) #s(literal 1 binary64)) (sqrt.f64 re))))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 im re) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 im re) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (.f64 re (+.f64 re (hypot.f64 im re))))))
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(neg.f64 (/.f64 #s(literal -1 binary64) re))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(exp.f64 (neg.f64 (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))

simplify313.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-define`
363×	`*-commutative`
327×	`distribute-rgt-in`
325×	`distribute-lft-in`
292×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1196	21979
1	2916	20594
2	7753	20594

Stop Event

1×	node limit

Counts

679 → 719

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 re im))))
(.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im)))
(.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im)))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal 2 binary64)))) im)) re) im)))))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (.f64 re (-.f64 (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)
(*.f64 #s(literal -2 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 re)))))))
(.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (sqrt.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/256 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 re #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/32 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/256 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (.f64 #s(literal 1/32 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 #s(literal 1/2 binary64) im)
(.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))
(.f64 im (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 re im)) (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 re im)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
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(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 im im)
(*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 im #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (.f64 (cbrt.f64 im) im))
(*.f64 (cbrt.f64 (pow.f64 im #s(literal 4 binary64))) (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 im) im))
(.f64 (.f64 im (sqrt.f64 im)) (sqrt.f64 im))
(.f64 (.f64 im (pow.f64 (cbrt.f64 im) #s(literal 2 binary64))) (cbrt.f64 im))
(sqrt.f64 (pow.f64 im #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 im #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 im #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 im #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
#s(literal 1 binary64)
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(/.f64 (*.f64 #s(literal 1/2 binary64) im) (sqrt.f64 re))
(pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(exp.f64 (neg.f64 (log.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))

Outputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re)
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)))
(.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re))))
(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)))
(*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -5/128 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 7 binary64))) (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 re im))))
(*.f64 im (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 re) im)))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im)))
(*.f64 im (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 re im)))
(.f64 im (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))) (/.f64 re im)))
(.f64 im (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))) (/.f64 re im))))
(.f64 im (+.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))))) (/.f64 re im))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(*.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im)))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) re) im))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) (neg.f64 re)) im)) (neg.f64 im))
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(sqrt.f64 (*.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re) #s(literal 1/4 binary64)))
(sqrt.f64 (/.f64 (*.f64 (pow.f64 im #s(literal 2 binary64)) #s(literal 1/4 binary64)) re))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) im))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(cbrt.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(exp.f64 (log.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(exp.f64 (.f64 (log.f64 (.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re))
(*.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(pow.f64 (sqrt.f64 re) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 re #s(literal -1/2 binary64))
(fabs.f64 (pow.f64 re #s(literal -1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(pow.f64 re #s(literal -1/2 binary64))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(*.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 1 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 3 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (exp.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64)))))
(sqrt.f64 #s(literal 1/2 binary64))
(cbrt.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(sqrt.f64 #s(literal 1/2 binary64))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 2 binary64))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64)))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) re)
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (cbrt.f64 re))
(.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re)) (pow.f64 re #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 re))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) (cbrt.f64 (pow.f64 re #s(literal -2 binary64))))
(/.f64 (cbrt.f64 (pow.f64 re #s(literal -2 binary64))) (cbrt.f64 re))
(.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) re)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(.f64 (.f64 (pow.f64 re #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) re)
(.f64 (.f64 (pow.f64 re #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 re))) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 re)) (pow.f64 re #s(literal -1/2 binary64)))
(/.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 4 binary64)) (cbrt.f64 re))
(pow.f64 re #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 re)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) re)
(pow.f64 (pow.f64 re #s(literal -2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 #s(literal 1 binary64) re)
(neg.f64 (/.f64 #s(literal -1 binary64) re))
(/.f64 #s(literal 1 binary64) re)
(sqrt.f64 (pow.f64 re #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) re)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) re))))
(/.f64 #s(literal 1 binary64) re)
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) re)
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) re)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (neg.f64 (log.f64 re)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (*.f64 (log.f64 re) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) re)
(exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) re)

eval94.0ms (0.9%)

Compiler: Compiled 12886 to 2890 computations (77.6% saved)

prune132.0ms (1.2%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	707	12	719
Fresh	8	1	9
Picked	4	1	5
Done	0	0	0
Total	719	14	733

Accuracy

100.0%

Counts

733 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.9%	(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
▶	28.5%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
	28.4%	(*.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 2 binary64)))
	28.5%	(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
	28.5%	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
	28.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
	19.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (/.f64 im re))))
▶	6.5%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
✓	77.5%	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
▶	52.4%	(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
▶	51.4%	(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
	50.1%	(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
	26.1%	(sqrt.f64 (neg.f64 re))

Compiler

Compiled 248 to 189 computations (23.8% saved)

localize418.0ms (3.9%)

Algorithm

5×	egg-herbie

Localize:

Found 30 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 re im))
✓	cost-diff	256	(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
✓	cost-diff	256	(.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
✓	cost-diff	256	(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
✓	cost-diff	0	(sqrt.f64 re)
✓	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓	cost-diff	0	(-.f64 im re)
✓	cost-diff	0	(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	cost-diff	0	(-.f64 (hypot.f64 im re) re)
	cost-diff	0	(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
✓	cost-diff	6528	(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 re im))
✓	accuracy	100.0%	(.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
✓	accuracy	100.0%	(*.f64 im #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 re)
✓	accuracy	99.9%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓	accuracy	100.0%	(-.f64 im re)
✓	accuracy	100.0%	(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
	accuracy	100.0%	(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
	accuracy	100.0%	(-.f64 (hypot.f64 im re) re)
✓	accuracy	99.8%	(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Rules

739×	`fma-neg`
654×	`fma-define`
622×	`times-frac`
374×	`unsub-neg`
361×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	148
1	24	142
2	40	140
3	63	140
4	90	140
5	119	140
6	190	140
7	293	140
8	418	140
9	497	140
10	614	140
11	686	140
12	710	140
13	748	140
14	797	140
15	854	140
16	889	140
17	899	140
0	5	3
0	12	64
1	15	64
2	26	64
3	47	64
4	74	64
5	103	64
6	174	64
7	274	64
8	389	64
9	459	64
10	543	64
11	559	64
0	12	50
1	15	50
2	18	50
3	19	50
0	15	142
1	26	142
2	47	142
3	110	142
4	335	97
5	822	97
6	1691	97
7	3903	97
8	5127	97
9	6970	97

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
im
(-.f64 #s(literal 1 binary64) (/.f64 re im))
#s(literal 1 binary64)
(/.f64 re im)
re
#s(literal 1/2 binary64)

Outputs
(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) (.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 re im)))
(.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(.f64 im (.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) (.f64 im #s(literal 1/2 binary64)))
(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 re im))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(-.f64 im re)
im
(-.f64 #s(literal 1 binary64) (/.f64 re im))
#s(literal 1 binary64)
(/.f64 re im)
re
#s(literal 1/2 binary64)

Call 2

Inputs
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 re)
re

Outputs
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)
(sqrt.f64 re)
re

Call 3

Inputs
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
(-.f64 im re)
im
re
#s(literal 1/2 binary64)

Outputs
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
(-.f64 im re)
im
re
#s(literal 1/2 binary64)

Call 4

Inputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Outputs
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
#s(literal 0 binary64)
#s(literal 1/2 binary64)
#s(literal 0 binary64)

Call 5

Inputs
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)

Outputs
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))
(-.f64 (hypot.f64 im re) re)
(hypot.f64 im re)
im
re
#s(literal 1/2 binary64)
#s(literal 1/4 binary64)
#s(literal 2 binary64)

Results

54.0ms	196×	0	invalid
16.0ms	60×	0	valid

Compiler

Compiled 117 to 25 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-pow: 14.0ms (32.7% of total)

ival-mult: 10.0ms (23.4% of total)

ival-hypot: 5.0ms (11.7% of total)

ival-sqrt: 5.0ms (11.7% of total)

ival-sub: 4.0ms (9.4% of total)

ival-div: 3.0ms (7% of total)

const: 1.0ms (2.3% of total)

backward-pass: 0.0ms (0% of total)

series68.0ms (0.6%)

Counts

13 → 253

Calls

Call 1

Inputs
#<alt (pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))>
#<alt (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))>
#<alt (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))>
#<alt (*.f64 (-.f64 im re) #s(literal 1/2 binary64))>
#<alt (-.f64 im re)>
#<alt (/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))>
#<alt (sqrt.f64 re)>
#<alt (*.f64 im #s(literal 1/2 binary64))>
#<alt (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))>
#<alt (sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))>
#<alt (-.f64 #s(literal 1 binary64) (/.f64 re im))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 #s(literal 7/256 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -33/2048 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal -1/256 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal -1 binary64))))))>
#<alt (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im))))) (.f64 #s(literal -1/16 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 2 binary64)))))>
#<alt (+.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im))))) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 13/512 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (exp.f64 (.f64 #s(literal 1/4 binary64) (+.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 #s(literal 2 binary64) (log.f64 im)))))) (pow.f64 re #s(literal 4 binary64)))))))>
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#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (pow.f64 re #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (pow.f64 re #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 re im))>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 re (-.f64 (/.f64 #s(literal 1 binary64) re) (/.f64 #s(literal 1 binary64) im)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 re im))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 re im))>
#<alt (/.f64 (-.f64 im re) im)>
#<alt (/.f64 (-.f64 im re) im)>
#<alt (/.f64 (-.f64 im re) im)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 re im)))>

Calls

66 calls:

Time	Variable		Point	Expression
7.0ms	re	@	0	(pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 1/4)
6.0ms	im	@	0	(pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 1/4)
4.0ms	im	@	-inf	(sqrt (* (- im re) 1/2))
4.0ms	re	@	-inf	(* (* im (- 1 (/ re im))) 1/2)
3.0ms	re	@	inf	(pow (* (- (sqrt (+ (* im im) (* re re))) re) 1/2) 1/4)

rewrite219.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`log1p-expm1-u`
194×	`expm1-log1p-u`
189×	`pow1`
188×	`add-exp-log`
186×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	284
1	435	282
2	5822	282

Stop Event

1×	node limit

Counts

13 → 308

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
(-.f64 im re)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(sqrt.f64 re)
(*.f64 im #s(literal 1/2 binary64))
(*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))) (.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 im re) re)) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/8 binary64))) (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64))) (*.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64))))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
(.f64 (.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/4 binary64))) (pow.f64 #s(literal 1/2 binary64) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (cbrt.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))) (cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64))))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))))
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(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(*.f64 (cbrt.f64 (sqrt.f64 re)) (cbrt.f64 re))
(*.f64 (cbrt.f64 re) (cbrt.f64 (sqrt.f64 re)))
(*.f64 (pow.f64 re #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 re #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 re)))
(pow.f64 re #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 re #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 re))
(log.f64 (exp.f64 (sqrt.f64 re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 re))))
(cbrt.f64 (pow.f64 re #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 re)))
(log1p.f64 (expm1.f64 (sqrt.f64 re)))
(exp.f64 (log.f64 (sqrt.f64 re)))
(exp.f64 (*.f64 (log.f64 re) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 im #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 im #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(+.f64 im (*.f64 im (/.f64 re (neg.f64 im))))
(+.f64 im (*.f64 (/.f64 re (neg.f64 im)) im))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1 binary64))
(/.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)))
(/.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) im) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) im) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(pow.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)) (pow.f64 im #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(exp.f64 (log.f64 (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(exp.f64 (.f64 (log.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(.f64 (sqrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))) (cbrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(.f64 (cbrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) (cbrt.f64 (sqrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(.f64 (sqrt.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 im) (pow.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 im) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(exp.f64 (.f64 (log.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))) #s(literal 1 binary64))
(pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 im) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))))))
(cbrt.f64 (pow.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(log1p.f64 (expm1.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(exp.f64 (log.f64 (.f64 im (.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
(exp.f64 (.f64 (log.f64 (.f64 im (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im))))) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 re (neg.f64 im)))
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (neg.f64 im)) #s(literal 1 binary64)))
(+.f64 (/.f64 re (neg.f64 im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re (neg.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im))) (/.f64 re (neg.f64 im)))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im)))) (-.f64 #s(literal 1 binary64) (/.f64 re (neg.f64 im))))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(exp.f64 (log1p.f64 (/.f64 re (neg.f64 im))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 re (neg.f64 im))) #s(literal 1 binary64)))

simplify366.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-define`
372×	`*-commutative`
357×	`distribute-rgt-in`
356×	`distribute-lft-in`
264×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1196	25893
1	3025	24465
2	7905	24465

Stop Event

1×	node limit

Counts

561 → 611

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 #s(literal 7/256 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -33/2048 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
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(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(exp.f64 (log1p.f64 (/.f64 re (neg.f64 im))))
(exp.f64 (*.f64 (log1p.f64 (/.f64 re (neg.f64 im))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 #s(literal 1/2 binary64) im) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 im (fma.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 #s(literal 7/256 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 7/256 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (.f64 #s(literal 7/256 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -33/2048 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))) (.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))
(.f64 im (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -33/2048 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64))))) (*.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))))))))
(.f64 im (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 7/256 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (.f64 (.f64 #s(literal -33/2048 binary64) (pow.f64 im #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 binary64)))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 im (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))))
(.f64 im (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))
(.f64 im (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 im (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/32 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))
(.f64 im (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/32 binary64) (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (fma.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (/.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 im)))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64)))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 (neg.f64 im) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/32 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))) (pow.f64 im #s(literal 3 binary64))) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))))
(.f64 im (neg.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (.f64 #s(literal 1/32 binary64) (sqrt.f64 im)) (.f64 (pow.f64 re #s(literal 2 binary64)) (/.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))) (pow.f64 im #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/4 binary64) (.f64 (/.f64 re (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)) (.f64 (.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (/.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/16 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 1/2 binary64))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) im) (/.f64 #s(literal 1/8 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/4 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 1/2 binary64))))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64))))
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) (/.f64 re im))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (/.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) (/.f64 re im))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (/.f64 re im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (neg.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 re im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) (/.f64 re im)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (/.f64 re im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 re (neg.f64 im))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (/.f64 re im)))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re (neg.f64 im)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im))) (/.f64 re (neg.f64 im)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 re im) #s(literal 2 binary64)) (/.f64 re im))) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 re im)) (/.f64 re im))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 re (neg.f64 im)) (/.f64 re (neg.f64 im)))) (-.f64 #s(literal 1 binary64) (/.f64 re (neg.f64 im))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 re im))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 re im) #s(literal 2 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 re im)))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 2 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(sqrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)))
(log.f64 (exp.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)))))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(cbrt.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im)) #s(literal 3 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(expm1.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(+.f64 (-.f64 #s(literal 2 binary64) (/.f64 re im)) #s(literal -1 binary64))
(log1p.f64 (expm1.f64 (-.f64 #s(literal 1 binary64) (/.f64 re im))))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(exp.f64 (log1p.f64 (/.f64 re (neg.f64 im))))
(-.f64 #s(literal 1 binary64) (/.f64 re im))
(exp.f64 (*.f64 (log1p.f64 (/.f64 re (neg.f64 im))) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 re im))

eval113.0ms (1%)

Compiler: Compiled 18012 to 3544 computations (80.3% saved)

prune237.0ms (2.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	826	6	832
Fresh	3	5	8
Picked	2	3	5
Done	0	1	1
Total	831	15	846

Accuracy

100.0%

Counts

846 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	25.9%	(pow.f64 (pow.f64 (neg.f64 re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	28.4%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	28.5%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
▶	28.5%	(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
	28.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
▶	28.5%	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
	19.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (/.f64 im re))))
✓	77.5%	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓	52.4%	(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
▶	39.6%	(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
▶	50.1%	(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
	26.1%	(sqrt.f64 (neg.f64 re))
▶	6.5%	#s(literal 0 binary64)

Compiler

Compiled 231 to 177 computations (23.4% saved)

localize477.0ms (4.4%)

Algorithm

5×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(-.f64 (/.f64 im re) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))
✓	cost-diff	256	(.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	cost-diff	256	(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
✓	cost-diff	0	(pow.f64 re #s(literal -1/2 binary64))
✓	cost-diff	0	(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 #s(literal 1/4 binary64) re)
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
✓	cost-diff	0	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
	cost-diff	0	(*.f64 im #s(literal 1/2 binary64))
✓	cost-diff	0	(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(-.f64 (/.f64 im re) #s(literal 1 binary64))
✓	accuracy	94.1%	(*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))
✓	accuracy	100.0%	(pow.f64 re #s(literal -1/2 binary64))
	accuracy	100.0%	(*.f64 im #s(literal 1/2 binary64))
✓	accuracy	99.9%	(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
✓	accuracy	100.0%	(/.f64 #s(literal 1/4 binary64) re)
✓	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
✓	accuracy	99.9%	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
	accuracy	100.0%	(*.f64 im #s(literal 1/2 binary64))
✓	accuracy	100.0%	(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))

Rules

724×	`fma-neg`
393×	`times-frac`
381×	`distribute-neg-frac`
349×	`distribute-lft-neg-in`
343×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	10	29
0	1	1
0	12	56
1	13	56
0	12	55
1	16	55
2	23	55
3	25	55
0	15	142
1	27	142
2	41	142
3	85	134
4	139	107
5	176	97
6	280	97
7	605	97
8	2460	97
9	4754	97
10	7984	97

Stop Event

1×	node limit
1×	saturated
1×	saturated
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))
re
(-.f64 (/.f64 im re) #s(literal 1 binary64))
(/.f64 im re)
im
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Outputs
(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 re (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(sqrt.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 re (fma.f64 (/.f64 im re) #s(literal 1/2 binary64) #s(literal -1/2 binary64))))
(sqrt.f64 (fma.f64 re #s(literal -1/2 binary64) (*.f64 im #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))
(.f64 re (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 im re)) #s(literal -1/2 binary64)))
(*.f64 re (fma.f64 (/.f64 im re) #s(literal 1/2 binary64) #s(literal -1/2 binary64)))
(fma.f64 re #s(literal -1/2 binary64) (*.f64 im #s(literal 1/2 binary64)))
(*.f64 (-.f64 im re) #s(literal 1/2 binary64))
(*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))
(*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))
(-.f64 (*.f64 im #s(literal 1 binary64)) re)
(-.f64 im re)
re
(-.f64 (/.f64 im re) #s(literal 1 binary64))
(+.f64 (/.f64 im re) #s(literal -1 binary64))
(/.f64 im re)
im
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Call 2

Inputs
(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
re
#s(literal -1/2 binary64)
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)

Outputs
(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
re
#s(literal -1/2 binary64)
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)

Call 3

Inputs
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
im
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
(/.f64 #s(literal 1/4 binary64) re)
#s(literal 1/4 binary64)
re

Outputs
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
im
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
(/.f64 #s(literal 1/4 binary64) re)
#s(literal 1/4 binary64)
re

Call 4

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Call 5

Inputs
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)

Outputs
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im #s(literal 1/2 binary64))
im
#s(literal 1/2 binary64)

Results

208.0ms	196×	0	invalid
15.0ms	60×	0	valid

Compiler

Compiled 84 to 20 computations (76.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 96.0ms

ival-div: 71.0ms (74.3% of total)

ival-mult: 12.0ms (12.6% of total)

ival-sqrt: 6.0ms (6.3% of total)

ival-pow: 4.0ms (4.2% of total)

ival-sub: 1.0ms (1% of total)

const: 1.0ms (1% of total)

backward-pass: 0.0ms (0% of total)

series30.0ms (0.3%)

Counts

10 → 168

Calls

Call 1

Inputs
#<alt (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))>
#<alt (/.f64 #s(literal 1/4 binary64) re)>
#<alt (.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))>
#<alt (pow.f64 re #s(literal -1/2 binary64))>
#<alt (*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))>
#<alt (-.f64 (/.f64 im re) #s(literal 1 binary64))>
#<alt (sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))>

Outputs
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 im re)))))>
#<alt (*.f64 #s(literal -1/2 binary64) re)>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) re) (.f64 #s(literal 1/2 binary64) im))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 1/2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1/2 binary64))))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	re	@	-inf	(* (pow re -1/2) (* im 1/2))
1.0ms	re	@	-inf	(sqrt (* (* re (- (/ im re) 1)) 1/2))
1.0ms	re	@	-inf	(* im (sqrt (/ 1/4 re)))
1.0ms	re	@	-inf	(* re (- (/ im re) 1))
1.0ms	re	@	0	(pow re -1/2)

rewrite162.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

827×	`log1p-expm1-u`
827×	`expm1-log1p-u`
280×	`prod-diff`
238×	`log1p-undefine`
166×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	213
1	329	213
2	4126	213

Stop Event

1×	node limit

Counts

10 → 252

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) re))
(/.f64 #s(literal 1/4 binary64) re)
(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
(pow.f64 re #s(literal -1/2 binary64))
(*.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64)))
(-.f64 (/.f64 im re) #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64))

Outputs
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 im #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64)))) (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 im))
(.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 im #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 im #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 im #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 im #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (pow.f64 #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re))))
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 re #s(literal 4 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) #s(literal 1/2 binary64)))
(/.f64 (sqrt.f64 #s(literal -1/4 binary64)) (sqrt.f64 (neg.f64 re)))
(pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/2 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(log.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(exp.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) re))) #s(literal 1 binary64))
(*.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) re))
(*.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/4 binary64) re))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)) (.f64 (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)) (.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(*.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 re)))
(*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1/4 binary64))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64))) (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1/4 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re))) (cbrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))
(pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) re)) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 re #s(literal 4 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/4 binary64) re))
(sqrt.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 re #s(literal 2 binary64))))
(log.f64 (exp.f64 (/.f64 #s(literal 1/4 binary64) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1/4 binary64) re))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1/4 binary64) re)))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1/4 binary64) re)))
(exp.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1/4 binary64) re)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))) #s(literal 1 binary64))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1/4 binary64) re) (pow.f64 im #s(literal 2 binary64))))
(log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) im))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))))))
(cbrt.f64 (pow.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1/4 binary64) re) #s(literal 3/2 binary64)) (pow.f64 im #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 im #s(literal 1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(log1p.f64 (expm1.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (log.f64 (*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))))
(exp.f64 (.f64 (log.f64 (.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(*.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (pow.f64 re #s(literal -1/2 binary64))))
(*.f64 (pow.f64 re #s(literal -1/4 binary64)) (pow.f64 re #s(literal -1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1/2 binary64)) (pow.f64 re #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 re) #s(literal -1/2 binary64)) (pow.f64 (sqrt.f64 re) #s(literal -1/2 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(log.f64 (exp.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 re #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 re #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 re #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 re #s(literal -1/2 binary64))))
(exp.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 re)))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 re)) #s(literal 1 binary64)))
(+.f64 (.f64 re (/.f64 im re)) (.f64 re #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 im re) re) (neg.f64 re))
(-.f64 (exp.f64 (log1p.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 re (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64))) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64))))
(/.f64 (*.f64 re (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64))) (+.f64 (/.f64 im re) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64)) re) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64)) re) (+.f64 (/.f64 im re) #s(literal 1 binary64)))
(pow.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 re (/.f64 im re) (*.f64 re #s(literal -1 binary64)))
(fma.f64 (/.f64 im re) re (neg.f64 re))
(+.f64 (/.f64 im re) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (/.f64 im re))
(*.f64 #s(literal 1 binary64) (+.f64 (/.f64 im re) #s(literal -1 binary64)))
(*.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64)))))
(*.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 im re) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (/.f64 im re)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (/.f64 im re)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64))) (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 im re) #s(literal 1 binary64)) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 im re) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) (+.f64 (/.f64 im re) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 im re) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 im re) #s(literal 1 binary64))))
(pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log.f64 (/.f64 im re)))
(log1p.f64 (expm1.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 im (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))
(fma.f64 im (*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 im re) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 im re) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (/.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 im re)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 im re)) (sqrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 im re)) (*.f64 (sqrt.f64 (/.f64 im re)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) re) im #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 im) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 im) (cbrt.f64 re)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 re) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) re) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

simplify201.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

756×	`distribute-lft-in`
442×	`associate-r`
413×	`associate-l`
332×	`*-commutative`
255×	`fma-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	676	13597
1	1527	13071
2	4945	11898

Stop Event

1×	node limit

Counts

420 → 400

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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(exp.f64 (log.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 im (/.f64 #s(literal 1 binary64) re) #s(literal -1 binary64))
(fma.f64 im (*.f64 (/.f64 #s(literal 1 binary64) re) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 im re) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 im re) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (/.f64 im re)) (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 im re)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (/.f64 im re)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (/.f64 (cbrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (*.f64 (cbrt.f64 im) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 im) (/.f64 #s(literal 1 binary64) re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 im re)) (sqrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (/.f64 im re)) (*.f64 (sqrt.f64 (/.f64 im re)) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 im) (/.f64 #s(literal 1 binary64) (neg.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) re) im #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 im (cbrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 re)) (/.f64 im (sqrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 (/.f64 im re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 im) #s(literal 2 binary64)) (sqrt.f64 re)) (/.f64 (cbrt.f64 im) (sqrt.f64 re)) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 im) #s(literal 1 binary64)) (/.f64 (sqrt.f64 im) re) #s(literal -1 binary64))
(fma.f64 (/.f64 (sqrt.f64 im) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (/.f64 (sqrt.f64 im) (cbrt.f64 re)) #s(literal -1 binary64))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(.f64 (sqrt.f64 (.f64 re (+.f64 (/.f64 im re) #s(literal -1 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 re) (pow.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 im re) #s(literal -1 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 re) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 im re) #s(literal -1 binary64)))))
(.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) re) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))))
(.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (neg.f64 (sqrt.f64 #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) im)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) im)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) im)))
(.f64 (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 im (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/4 binary64)) im)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
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(.f64 (fabs.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 im re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(fabs.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(log.f64 (exp.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(exp.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re)))
(sqrt.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64))))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(pow.f64 (sqrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(pow.f64 (cbrt.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(pow.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(sqrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64))) re) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))))))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(cbrt.f64 (pow.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(expm1.f64 (log1p.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(expm1.f64 (log1p.f64 (.f64 (+.f64 #s(literal -1 binary64) (/.f64 im re)) (.f64 #s(literal 1/2 binary64) re))))
(expm1.f64 (log1p.f64 (*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 im re) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))))
(log1p.f64 (expm1.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(exp.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (.f64 re #s(literal 1/2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))
(exp.f64 (.f64 (log.f64 (.f64 (+.f64 (/.f64 im re) #s(literal -1 binary64)) (*.f64 re #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) re (*.f64 im #s(literal 1/2 binary64)))
(fma.f64 im #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) re))
(*.f64 #s(literal 1/2 binary64) (-.f64 im re))

eval52.0ms (0.5%)

Compiler: Compiled 6827 to 1491 computations (78.2% saved)

prune150.0ms (1.4%)

Pruning

15 alts after pruning (6 fresh and 9 done)

	Pruned	Kept	Total
New	430	0	430
Fresh	0	6	6
Picked	0	5	5
Done	0	4	4
Total	430	15	445

Accuracy

100.0%

Counts

445 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.9%	(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	25.9%	(pow.f64 (pow.f64 (neg.f64 re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
	28.4%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
✓	28.5%	(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
✓	28.5%	(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
	28.5%	(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
✓	28.5%	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
	19.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (/.f64 im re))))
✓	77.5%	(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
✓	52.4%	(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
✓	39.6%	(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
✓	50.1%	(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
	26.1%	(sqrt.f64 (neg.f64 re))
✓	6.5%	#s(literal 0 binary64)

Compiler

Compiled 457 to 244 computations (46.6% saved)

regimes89.0ms (0.8%)

Counts

34 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (/.f64 im re))))
(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (neg.f64 re) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (pow.f64 (pow.f64 re #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
(*.f64 im (pow.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re))) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 im (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(pow.f64 (sqrt.f64 (.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))))
(.f64 #s(literal 1/2 binary64) (fma.f64 im (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) #s(literal -1/16 binary64)))))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
(sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64)))

Calls

7 calls:

24.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
13.0ms	im
12.0ms	(*.f64 im im)
11.0ms	(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
9.0ms	re

Results

Accuracy	Segments	Branch
88.4%	2	`re`
77.5%	1	`im`
89.1%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
89.1%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
89.9%	2	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
89.9%	2	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.5%	1	`(*.f64 im im)`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes15.0ms (0.1%)

Counts

21 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
(.f64 (pow.f64 re #s(literal -1/2 binary64)) (.f64 im #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (/.f64 im re))))
(sqrt.f64 (.f64 (.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))) #s(literal 1/2 binary64)))
(sqrt.f64 (.f64 (.f64 re (-.f64 (/.f64 im re) #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64))))))
(pow.f64 (pow.f64 (neg.f64 re) #s(literal 1/4 binary64)) #s(literal 2 binary64))

Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(/.f64 (*.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))

Calls

2 calls:

7.0ms	re
6.0ms	im

Results

Accuracy	Segments	Branch
63.5%	3	`im`
78.1%	3	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

10 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))
(*.f64 im (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)))
(*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 re)) im)

Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(*.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
78.1%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

7 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))

Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64)))
#s(literal 0 binary64)

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
64.8%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 3

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))

Outputs
(sqrt.f64 (neg.f64 re))
(sqrt.f64 (*.f64 im #s(literal 1/2 binary64)))
#s(literal 0 binary64)

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
64.7%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))
(sqrt.f64 (neg.f64 re))

Outputs
(sqrt.f64 (neg.f64 re))
#s(literal 0 binary64)

Calls

2 calls:

2.0ms	im
2.0ms	re

Results

Accuracy	Segments	Branch
26.1%	1	`im`
31.2%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)
(*.f64 #s(literal 1/2 binary64) #s(literal 0 binary64))

Outputs
#s(literal 0 binary64)

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
6.5%	1	`im`
6.5%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch5.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0338562732753327e-306

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch46.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.4841504680075985e-56	1.1467521123186439e-48
15.0ms	-2.4644317126185027e+89	-1.336849203073504e+86

Results

19.0ms	219×	0	valid
6.0ms	30×	1	valid
6.0ms	23×	2	valid

Compiler

Compiled 304 to 238 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (45.6% of total)

ival-sqrt: 5.0ms (22.8% of total)

ival-add: 2.0ms (9.1% of total)

ival-sub: 2.0ms (9.1% of total)

backward-pass: 1.0ms (4.6% of total)

const: 1.0ms (4.6% of total)

bsearch241.0ms (2.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
222.0ms	7.4841504680075985e-56	1.1467521123186439e-48
15.0ms	-2.4644317126185027e+89	-1.336849203073504e+86

Results

19.0ms	220×	0	valid
5.0ms	29×	1	valid
204.0ms	23×	2	valid

Compiler

Compiled 304 to 238 computations (21.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 218.0ms

ival-sqrt: 202.0ms (92.6% of total)

ival-mult: 10.0ms (4.6% of total)

ival-add: 2.0ms (0.9% of total)

backward-pass: 2.0ms (0.9% of total)

ival-sub: 2.0ms (0.9% of total)

const: 1.0ms (0.5% of total)

bsearch272.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	5.987786936591097e+234	7.093904979554201e+242
228.0ms	-2.4644317126185027e+89	-1.336849203073504e+86

Results

225.0ms	146×	0	valid
13.0ms	71×	1	valid
17.0ms	55×	2	valid

Compiler

Compiled 259 to 211 computations (18.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 14.0ms (46.4% of total)

ival-sqrt: 7.0ms (23.2% of total)

backward-pass: 3.0ms (10% of total)

ival-sub: 3.0ms (10% of total)

ival-add: 3.0ms (10% of total)

const: 1.0ms (3.3% of total)

bsearch151.0ms (1.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
133.0ms	5.987786936591097e+234	7.093904979554201e+242
11.0ms	-2.639407796517129e+61	-2.9609101190350262e+60

Results

9.0ms	112×	0	valid
12.0ms	67×	1	valid
114.0ms	61×	2	valid

Compiler

Compiled 199 to 172 computations (13.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 108.0ms (87% of total)

ival-sqrt: 7.0ms (5.6% of total)

backward-pass: 4.0ms (3.2% of total)

ival-sub: 2.0ms (1.6% of total)

ival-add: 2.0ms (1.6% of total)

const: 1.0ms (0.8% of total)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.0823424836205e-310	1.0354938134103047e-307

Results

8.0ms

96×

valid

Compiler

Compiled 82 to 70 computations (14.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 3.0ms (53.4% of total)

ival-sqrt: 2.0ms (35.6% of total)

ival-sub: 1.0ms (17.8% of total)

ival-add: 1.0ms (17.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
5×	`+-commutative`
4×	`sub-neg`
1×	`neg-sub0`
1×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	410
1	81	410
2	86	410
3	87	410

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (sqrt.f64 (.f64 (-.f64 im re) #s(literal 1/2 binary64))) (/.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -419999999999999978537906609721191523268394605795053315092580641929768252335385355485184 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 8635607916821689/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (sqrt.f64 (.f64 (-.f64 im re) #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -160000000000000002340911236907979684955206878058344809484577725947167418280183714545664 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 6999999999999999762175122557642563908216216286471952197457436130989978733989698849874635645925637456649238242299079120060126363967294296836586328386581838026353952164953597470362869718367301218176296990046441658716276203970992837710839808 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(if (<=.f64 re #s(literal -3199999999999999909401217585934854427197962507717669053005824 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 67999999999999995211023795945200863500482568710694165285198174641603748893782579795869190026248537661494118554520611253556015304045591029842619198047247286224932367364721107153409136397024091148248105989712508351134509318866879771037401088 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 im re) re) #s(literal 1/2 binary64))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (hypot.f64 im re) re))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (sqrt.f64 (.f64 (-.f64 im re) #s(literal 1/2 binary64))) (/.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 5792176041770645/52656145834278593348959013841835216159447547700274555627155488768 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 im re))) (/.f64 (.f64 im #s(literal 1/2 binary64)) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -419999999999999978537906609721191523268394605795053315092580641929768252335385355485184 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 8635607916821689/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (sqrt.f64 (.f64 (-.f64 im re) #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -419999999999999978537906609721191523268394605795053315092580641929768252335385355485184 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 8635607916821689/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 im re))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1/4 binary64) re)))))
(if (<=.f64 re #s(literal -160000000000000002340911236907979684955206878058344809484577725947167418280183714545664 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 6999999999999999762175122557642563908216216286471952197457436130989978733989698849874635645925637456649238242299079120060126363967294296836586328386581838026353952164953597470362869718367301218176296990046441658716276203970992837710839808 binary64)) (sqrt.f64 (*.f64 (-.f64 im re) #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(if (<=.f64 re #s(literal -160000000000000002340911236907979684955206878058344809484577725947167418280183714545664 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 6999999999999999762175122557642563908216216286471952197457436130989978733989698849874635645925637456649238242299079120060126363967294296836586328386581838026353952164953597470362869718367301218176296990046441658716276203970992837710839808 binary64)) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 im re))) #s(literal 0 binary64)))
(if (<=.f64 re #s(literal -3199999999999999909401217585934854427197962507717669053005824 binary64)) (sqrt.f64 (neg.f64 re)) (if (<=.f64 re #s(literal 67999999999999995211023795945200863500482568710694165285198174641603748893782579795869190026248537661494118554520611253556015304045591029842619198047247286224932367364721107153409136397024091148248105989712508351134509318866879771037401088 binary64)) (sqrt.f64 (*.f64 im #s(literal 1/2 binary64))) #s(literal 0 binary64)))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) (sqrt.f64 (neg.f64 re)) #s(literal 0 binary64))
#s(literal 0 binary64)

soundness1.5s (14.2%)

Rules

1334×	`log1p-expm1-u`
1076×	`log1p-expm1-u`
1076×	`expm1-log1p-u`
976×	`log1p-expm1-u`
797×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	30	284
1	435	282
2	5822	282
0	1196	21979
1	2916	20594
2	7753	20594
0	34	303
1	586	275
2	5623	275
0	42	274
1	94	266
2	180	266
3	341	266
4	562	266
5	723	266
6	917	266
7	1224	266
8	1452	266
9	1479	266
0	23	277
1	306	272
2	3132	272
0	945	34868
1	2691	33309

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	saturated
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 1146 to 384 computations (66.5% saved)

preprocess73.0ms (0.7%)

Remove: (abs im)
Compiler: Compiled 332 to 180 computations (45.8% saved)

Iter	Nodes	Cost
0	18	196
1	26	196
2	39	196
3	59	196
4	86	196
5	115	196
6	186	196
7	290	196
8	416	196
9	495	196
10	611	196
11	683	196
12	705	196
13	743	196
14	792	196
15	849	196
16	884	196
17	894	196
0	15	143
1	23	143
2	37	143
3	59	143
4	86	143
5	115	143
6	186	143
7	290	143
8	414	143
9	493	143
10	609	143
11	681	143
12	705	143
13	745	143
14	794	143
15	851	143
16	886	143
17	896	143

Iter	Nodes	Cost
0	13	104
1	20	104
2	34	104
3	56	104
4	83	104
5	112	104
6	183	104
7	287	104
8	413	104
9	493	104
10	609	104
11	681	104
12	703	104
13	741	104
14	790	104
15	847	104
16	882	104
17	892	104
0	11	50
1	13	50
0	12	24
1	18	24
2	21	24
3	23	24
4	25	24
5	30	24
6	34	24
7	39	24
0	14	91
1	16	91
2	18	91
3	19	91
0	19	170
1	34	170
2	72	170
3	202	170
4	300	170
5	304	170

Iter	Nodes	Cost
0	18	196
1	26	196
2	39	196
3	59	196
4	86	196
5	115	196
6	186	196
7	290	196
8	416	196
9	495	196
10	611	196
11	683	196
12	705	196
13	743	196
14	792	196
15	849	196
16	884	196
17	894	196
0	15	143
1	23	143
2	37	143
3	59	143
4	86	143
5	115	143
6	186	143
7	290	143
8	414	143
9	493	143
10	609	143
11	681	143
12	705	143
13	745	143
14	794	143
15	851	143
16	886	143
17	896	143

Iter	Nodes	Cost
0	13	104
1	20	104
2	34	104
3	56	104
4	83	104
5	112	104
6	183	104
7	287	104
8	413	104
9	493	104
10	609	104
11	681	104
12	703	104
13	741	104
14	790	104
15	847	104
16	882	104
17	892	104
0	11	50
1	13	50
0	12	24
1	18	24
2	21	24
3	23	24
4	25	24
5	30	24
6	34	24
7	39	24
0	14	91
1	16	91
2	18	91
3	19	91
0	19	170
1	34	170
2	72	170
3	202	170
4	300	170
5	304	170

analyze448.0ms (4.2%)

sample2.2s (20.8%)

preprocess85.0ms (0.8%)

explain374.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize222.0ms (2.1%)

series54.0ms (0.5%)

rewrite323.0ms (3%)

simplify329.0ms (3.1%)

eval138.0ms (1.3%)

prune256.0ms (2.4%)

localize481.0ms (4.5%)

series60.0ms (0.6%)

rewrite245.0ms (2.3%)

simplify313.0ms (2.9%)

eval94.0ms (0.9%)

prune132.0ms (1.2%)

localize418.0ms (3.9%)

series68.0ms (0.6%)

rewrite219.0ms (2%)

simplify366.0ms (3.4%)

eval113.0ms (1%)

prune237.0ms (2.2%)

localize477.0ms (4.4%)

series30.0ms (0.3%)

rewrite162.0ms (1.5%)

simplify201.0ms (1.9%)

eval52.0ms (0.5%)

prune150.0ms (1.4%)

regimes89.0ms (0.8%)

regimes15.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch5.0ms (0%)

bsearch46.0ms (0.4%)

bsearch241.0ms (2.2%)

bsearch272.0ms (2.5%)

bsearch151.0ms (1.4%)

bsearch13.0ms (0.1%)

simplify7.0ms (0.1%)

soundness1.5s (14.2%)

preprocess73.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	196
1	26	196
2	39	196
3	59	196
4	86	196
5	115	196
6	186	196
7	290	196
8	416	196
9	495	196
10	611	196
11	683	196
12	705	196
13	743	196
14	792	196
15	849	196
16	884	196
17	894	196
0	15	143
1	23	143
2	37	143
3	59	143
4	86	143
5	115	143
6	186	143
7	290	143
8	414	143
9	493	143
10	609	143
11	681	143
12	705	143
13	745	143
14	794	143
15	851	143
16	886	143
17	896	143

Iter	Nodes	Cost
0	13	104
1	20	104
2	34	104
3	56	104
4	83	104
5	112	104
6	183	104
7	287	104
8	413	104
9	493	104
10	609	104
11	681	104
12	703	104
13	741	104
14	790	104
15	847	104
16	882	104
17	892	104
0	11	50
1	13	50
0	12	24
1	18	24
2	21	24
3	23	24
4	25	24
5	30	24
6	34	24
7	39	24
0	14	91
1	16	91
2	18	91
3	19	91
0	19	170
1	34	170
2	72	170
3	202	170
4	300	170
5	304	170