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

analyze135.0ms (1.1%)

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: 75.0ms

Operation ival-mult, time spent: 36.0ms, 48.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 25.0% of total-time

Operation ival-sub, time spent: 6.0ms, 8.0% of total-time

Operation ival-add, time spent: 6.0ms, 8.0% of total-time

Operation ival->, time spent: 6.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

sample2.6s (22%)

Results

1.3s	6414×	256	valid
288.0ms	675×	2048	valid
451.0ms	526×	4096	valid
152.0ms	404×	1024	valid
60.0ms	236×	512	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-mult, time spent: 419.0ms, 36.0% of total-time

Operation ival-sqrt, time spent: 306.0ms, 27.0% of total-time

Operation ival-sub, time spent: 232.0ms, 20.0% of total-time

Operation ival-add, time spent: 87.0ms, 8.0% of total-time

Operation ival->, time spent: 81.0ms, 7.0% of total-time

Operation const, time spent: 27.0ms, 2.0% of total-time

Bogosity

preprocess355.0ms (3%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-define`
602×	`fma-neg`
136×	`distribute-rgt-in`
112×	`distribute-lft-neg-in`
112×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
117	0	-	1	(-4.0279193265120975e-160 1.4385625698366372e-268)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
34	1	(1.0749008782711595e-138 6.346575083150014e-231)	0	-	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
27	0	-	3	(1.0749008782711595e-138 6.346575083150014e-231)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`(*.f64 im im)`
0	0	-	0	-	`re`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	0	-	0	-	`im`
0	0	-	0	-	`(*.f64 re re)`
0	0	-	0	-	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
0	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))))`

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)

Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

Operation ival-mult, time spent: 36.0ms, 52.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 29.0% of total-time

Operation ival-sub, time spent: 6.0ms, 9.0% of total-time

Operation ival-add, time spent: 5.0ms, 7.0% of total-time

Operation const, time spent: 4.0ms, 6.0% of total-time

eval0.0ms (0%)

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

prune4.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
▶	44.1%	(.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

▶

78.8%

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

▶

44.1%

(*.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)

localize168.0ms (1.4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))
✓	91.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓	88.2%	(-.f64 (hypot.f64 re im) re)
✓	100.0%	(+.f64 (.f64 re re) (.f64 im im))
✓	91.0%	(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	88.2%	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	57.8%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

Operation ival-mult, time spent: 36.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 23.0% of total-time

Operation composed, time spent: 14.0ms, 17.0% of total-time

Operation ival-sub, time spent: 5.0ms, 6.0% of total-time

Operation ival-add, time spent: 5.0ms, 6.0% of total-time

Operation const, time spent: 3.0ms, 4.0% of total-time

series37.0ms (0.3%)

Counts

7 → 168

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 2 binary64) (-.f64 (hypot.f64 re 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))))))))>
#<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 (.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 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 #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)))>
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#<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 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 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 2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.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 -1/16 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 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 -1/16 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 1/32 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 (.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 -1/16 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 -1/512 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 1/32 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 (.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 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 -1/4 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)) (*.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 -1/16 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 1/4 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)) (*.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 -1/16 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 1/32 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 1/4 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.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 -1/16 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 (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 (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 -1/16 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 1/2 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 (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 -1/16 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 -1/2 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 1/2 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 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 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 1/4 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 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 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 (.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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 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 -1/2 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 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 -1/2 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 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 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 1/8 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)))))) (.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 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 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

42 calls:

Time	Variable		Point	Expression
7.0ms	im	@	0	(+ (* re re) (* im im))
2.0ms	im	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms	re	@	-inf	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms	re	@	inf	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms	re	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))

rewrite286.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`fma-define`
981×	`log1p-expm1-u`
981×	`expm1-log1p-u`
944×	`log-prod`
440×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	173
1	264	168
2	2857	168

Stop Event

1×	node limit

Counts

7 → 360

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 2 binary64) (-.f64 (hypot.f64 re im) re))

Outputs
(+.f64 #s(literal 0 binary64) (hypot.f64 re im))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im))) (cbrt.f64 (exp.f64 (hypot.f64 re im))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 re im)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 re im)))))
(-.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)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.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))
(pow.f64 (cbrt.f64 (hypot.f64 re im)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 2 binary64))
(fabs.f64 (hypot.f64 re im))
(log.f64 (exp.f64 (hypot.f64 re im)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))))
(cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (hypot.f64 re im)))
(hypot.f64 re im)
(hypot.f64 im re)
(log1p.f64 (expm1.f64 (hypot.f64 re im)))
(exp.f64 (log.f64 (hypot.f64 re im)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (hypot.f64 re im)) #s(literal 1 binary64)))
(+.f64 (hypot.f64 re im) (neg.f64 re))
(+.f64 (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(+.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(+.f64 (neg.f64 re) (hypot.f64 re im))
(+.f64 #s(literal 0 binary64) (-.f64 (hypot.f64 re im) re))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re))
(*.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))
(/.f64 (-.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 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (neg.f64 (+.f64 re (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 (hypot.f64 re im) (neg.f64 re)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 (neg.f64 re) (neg.f64 re))) (-.f64 (hypot.f64 re im) (neg.f64 re)))
(pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (hypot.f64 re im) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (hypot.f64 re im) re))))
(log.f64 (*.f64 (exp.f64 (hypot.f64 re im)) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (/.f64 #s(literal 1 binary64) (exp.f64 re))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 (neg.f64 re))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (exp.f64 (hypot.f64 re im))))
(log.f64 (*.f64 (exp.f64 (neg.f64 re)) (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im)))))
(log.f64 (/.f64 (exp.f64 (hypot.f64 re im)) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (exp.f64 re)))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (hypot.f64 re im))) (+.f64 #s(literal 1 binary64) (expm1.f64 re))))
(cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (hypot.f64 re im) re)))
(log1p.f64 (expm1.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re)))
(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 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 re im) re) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(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 (-.f64 (hypot.f64 re im) re) (-.f64 (hypot.f64 re im) re))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))))
(-.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)))

simplify370.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-define`
1078×	`associate-r`
1004×	`associate-l`
970×	`*-commutative`
784×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	905	28116
1	2381	26875

Stop Event

1×	node limit

Counts

528 → 551

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)
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(.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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(exp.f64 (*.f64 (log.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (neg.f64 re))
(fma.f64 (hypot.f64 re im) #s(literal 1 binary64) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (neg.f64 re))
(fma.f64 #s(literal 1 binary64) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 #s(literal 1 binary64) (-.f64 (hypot.f64 re im) re) (+.f64 (neg.f64 re) re))
(fma.f64 #s(literal 1 binary64) (neg.f64 re) (hypot.f64 re im))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (neg.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (+.f64 (neg.f64 re) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (cbrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 re im)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (+.f64 (neg.f64 re) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im))) (+.f64 (neg.f64 re) re))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (neg.f64 re))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 re)) (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) re))
(fma.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (neg.f64 re) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 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 re im) re) #s(literal 2 binary64))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(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 (-.f64 (hypot.f64 re im) re) (-.f64 (hypot.f64 re im) re))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 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 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))) (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (-.f64 (hypot.f64 re im) re)))))
(-.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)))))))
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(*.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))

eval480.0ms (4.1%)

Compiler: Compiled 12787 to 9013 computations (29.5% saved)

prune142.0ms (1.2%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	535	16	551
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	536	17	553

Accuracy

99.8%

Counts

553 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
▶	52.5%	(.f64 #s(literal 1/2 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)))
	25.4%	(.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)))))
▶	78.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
	15.3%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
	48.3%	(.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))))))
	30.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
▶	50.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
▶	48.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	29.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 (hypot.f64 re im) (neg.f64 re))))))))
✓	78.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	5.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
▶	26.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))
	73.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re))))))
	56.0%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))

Compiler

Compiled 524 to 403 computations (23.1% saved)

localize433.0ms (3.7%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	100.0%	(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
✓	100.0%	(+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
✓	99.8%	(*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
✓	92.0%	(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))
✓	100.0%	(.f64 im (+.f64 #s(literal 2 binary64) (.f64 (/.f64 re im) #s(literal -2 binary64))))
✓	100.0%	(*.f64 (/.f64 re im) #s(literal -2 binary64))
✓	99.8%	(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))

Compiler

Compiled 261 to 100 computations (61.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

Operation ival-mult, time spent: 96.0ms, 39.0% of total-time

Operation composed, time spent: 57.0ms, 23.0% of total-time

Operation ival-pow, time spent: 48.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 24.0ms, 10.0% of total-time

Operation ival-add, time spent: 9.0ms, 4.0% of total-time

Operation const, time spent: 7.0ms, 3.0% of total-time

Operation ival-sub, time spent: 3.0ms, 1.0% of total-time

Operation ival-div, time spent: 2.0ms, 1.0% of total-time

series57.0ms (0.5%)

Counts

7 → 168

Calls

Call 1

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

Outputs
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 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 2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.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 -1/16 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 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 -1/16 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 1/32 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 (.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 -1/16 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 -1/512 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 1/32 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 (.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 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 -1/4 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)) (*.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 -1/16 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 1/4 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)) (*.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 -1/16 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 1/32 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 1/4 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.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 -1/16 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 (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 (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 -1/16 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 1/2 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 (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 -1/16 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 -1/2 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 1/2 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 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 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 1/4 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 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 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 (.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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 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 -1/2 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 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 -1/2 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 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 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 1/8 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)))))) (.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 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 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) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) (/.f64 re im))>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (+.f64 (.f64 #s(literal -2 binary64) re) (.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) re) (.f64 #s(literal 2 binary64) im))>
#<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 #s(literal -2 binary64) (/.f64 re im))))>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) (/.f64 re im))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
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#<alt (.f64 #s(literal -1 binary64) (.f64 im (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 re im)) #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) re) (.f64 #s(literal 2 binary64) im))>
#<alt (+.f64 (.f64 #s(literal -2 binary64) re) (.f64 #s(literal 2 binary64) im))>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 im re)) #s(literal 2 binary64)))>
#<alt (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 im re)) #s(literal 2 binary64)))>
#<alt (.f64 re (-.f64 (.f64 #s(literal 2 binary64) (/.f64 im re)) #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -2 binary64) re)>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 im re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 im re)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 im re)))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
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#<alt (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
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#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 re) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/32 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 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (.f64 (/.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)))))) (sqrt.f64 #s(literal 1/2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))))))>
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (cbrt.f64 (sqrt.f64 #s(literal 8 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)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
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#<alt (.f64 (+.f64 (sqrt.f64 re) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))) (-.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)) (sqrt.f64 re)))>
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#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt #s(literal 0 binary64)>
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#<alt (.f64 (pow.f64 re #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 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))))))>
#<alt (*.f64 re (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))>
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#<alt (*.f64 (+.f64 (sqrt.f64 im) (sqrt.f64 re)) (-.f64 (sqrt.f64 im) (sqrt.f64 re)))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (sqrt.f64 im) (sqrt.f64 re))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (sqrt.f64 im) (sqrt.f64 re))))) (*.f64 (+.f64 (sqrt.f64 im) (sqrt.f64 re)) (-.f64 (sqrt.f64 im) (sqrt.f64 re)))))>
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#<alt (.f64 (+.f64 (sqrt.f64 re) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))) (-.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re)))>
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#<alt (-.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))))))))))) (sqrt.f64 re))>
#<alt (-.f64 (sqrt.f64 im) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))))))))) (sqrt.f64 re))>
#<alt (-.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))))) (sqrt.f64 re))>

Calls

42 calls:

Time	Variable		Point	Expression
6.0ms	re	@	0	(* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
3.0ms	im	@	0	(pow (pow (* (- (sqrt (+ (* re re) (* im im))) re) 2) 3/2) 1/3)
3.0ms	im	@	inf	(* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
3.0ms	im	@	0	(* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))
3.0ms	im	@	-inf	(* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))

rewrite202.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1155×	`log1p-expm1-u`
350×	`associate-r`
236×	`associate-l`
201×	`expm1-log1p-u`
197×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	242
1	453	195
2	6171	195

Stop Event

1×	node limit

Counts

7 → 265

Calls

Call 1

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

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

simplify268.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1428×	`distribute-rgt-in`
1422×	`distribute-lft-in`
1000×	`*-commutative`
596×	`times-frac`
460×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1321	30568
1	4094	29294

Stop Event

1×	node limit

Counts

433 → 636

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 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 2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 (.f64 #s(literal -1/16 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 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1/16 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 1/32 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 (.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 (.f64 #s(literal -1/16 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 -1/512 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 1/32 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 (.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 binary64) (.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/4 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (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 1/4 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #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 (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 1/32 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 1/4 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)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 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 im (+.f64 (.f64 #s(literal -1/16 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 im (+.f64 (.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 -1/16 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 1/2 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)))))))
(.f64 im (+.f64 (.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 -1/16 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 -1/2 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 1/2 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)))))))))))
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))
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(*.f64 (-.f64 (hypot.f64 re im) re) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
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(*.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (.f64 re (hypot.f64 re im))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (/.f64 (-.f64 (hypot.f64 re im) re) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (/.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (hypot.f64 re im) re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (-.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (hypot.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im)))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 re im) re)) (neg.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 re)) #s(literal 3 binary64))) (+.f64 (hypot.f64 re im) (-.f64 (.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re))) (.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))))
(/.f64 (-.f64 (hypot.f64 re im) (*.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re)))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re)))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))
(fma.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 re)))

Outputs
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 2 binary64)) re)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 2 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/8 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 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 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 2 binary64)))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
(fma.f64 re (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 re (fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 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 im (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1/16 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 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (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 im (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (.f64 #s(literal -1/16 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 1/32 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 (.f64 im (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (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))))) (fma.f64 #s(literal 1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (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 im (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (.f64 #s(literal -1/16 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 -1/512 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 1/32 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 (.f64 im (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (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))))) (fma.f64 #s(literal -1/512 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (fma.f64 #s(literal 1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (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 im (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (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))))) (fma.f64 #s(literal -1/512 binary64) (.f64 (.f64 (pow.f64 im #s(literal 5 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 9 binary64)))) #s(literal 1/2 binary64))) (fma.f64 #s(literal 1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (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 im (.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 (neg.f64 (sqrt.f64 re)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (sqrt.f64 re) (sqrt.f64 #s(literal -1 binary64))) #s(literal -2 binary64))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/4 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
(.f64 (neg.f64 re) (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 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))))))
(.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 im #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 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 1/4 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)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))
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(*.f64 (-.f64 (hypot.f64 re im) re) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (.f64 re (hypot.f64 re im))))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (/.f64 (-.f64 (hypot.f64 re im) re) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (/.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 2 binary64)) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))))
(*.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (-.f64 (hypot.f64 re im) re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (-.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (.f64 re (hypot.f64 re im)))))
(.f64 (+.f64 re (-.f64 (hypot.f64 re im) (sqrt.f64 (.f64 re (hypot.f64 re im))))) (/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (hypot.f64 re im) re)))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im)))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 re (+.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im)))))
(/.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) #s(literal 1 binary64)) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (+.f64 re (hypot.f64 re im))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (*.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) (+.f64 re (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 re im) re)) (neg.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 re im) re)) (neg.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (+.f64 re (hypot.f64 re im)) (sqrt.f64 (*.f64 re (hypot.f64 re im))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (neg.f64 (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (*.f64 re (hypot.f64 re im)))))))
(.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 re (+.f64 (hypot.f64 re im) (sqrt.f64 (.f64 re (hypot.f64 re im)))))))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) (sqrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 re)) #s(literal 3 binary64))) (+.f64 (hypot.f64 re im) (-.f64 (.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re))) (.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 re)) #s(literal 3 binary64))) (+.f64 (hypot.f64 re im) (*.f64 (neg.f64 (sqrt.f64 re)) (-.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 (hypot.f64 re im))))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 re) #s(literal 3 binary64))) (+.f64 (+.f64 re (hypot.f64 re im)) (*.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im)))))
(/.f64 (-.f64 (hypot.f64 re im) (*.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re)))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (/.f64 (-.f64 (hypot.f64 re im) re) (pow.f64 (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 1 binary64)) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))))
(pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 1 binary64))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 3 binary64))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 re im))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))
(-.f64 (*.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im)))) (sqrt.f64 re))
(fma.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 re)))
(-.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/2 binary64)) (sqrt.f64 re))

eval389.0ms (3.3%)

Compiler: Compiled 22943 to 14601 computations (36.4% saved)

prune423.0ms (3.6%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	629	7	636
Fresh	2	9	11
Picked	0	5	5
Done	0	1	1
Total	631	22	653

Accuracy

99.8%

Counts

653 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.8%	(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
✓	52.5%	(.f64 #s(literal 1/2 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)))
▶	78.6%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))))
	25.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
▶	25.4%	(.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)))))
✓	78.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
	15.3%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
▶	48.3%	(.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))))))
	7.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -2 binary64))))
	30.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
✓	50.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
✓	48.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	29.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im))))))))
✓	78.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
	23.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))
✓	26.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))
▶	24.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))))
	73.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re))))))
▶	5.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))))
	56.0%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))

Compiler

Compiled 626 to 482 computations (23% saved)

localize1.4s (11.6%)

Localize:

Found 13 expressions with local error:

New	Accuracy	Program
✓	97.4%	(exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
✓	91.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))))
	89.0%	(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
✓	87.9%	(log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
✓	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
✓	99.8%	(*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))
✓	100.0%	(*.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))
✓	91.6%	(sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (-.f64 (/.f64 re im) #s(literal 2 binary64)))))
✓	99.8%	(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re))))
✓	99.8%	(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
✓	91.3%	(sqrt.f64 (-.f64 (hypot.f64 re im) re))
✓	88.2%	(-.f64 (hypot.f64 re im) re)

Compiler

Compiled 315 to 144 computations (54.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.1s

Operation ival-pow, time spent: 283.0ms, 26.0% of total-time

Operation ival-mult, time spent: 260.0ms, 24.0% of total-time

Operation ival-sqrt, time spent: 202.0ms, 19.0% of total-time

Operation ival-sub, time spent: 157.0ms, 15.0% of total-time

Operation ival-log, time spent: 96.0ms, 9.0% of total-time

Operation ival-div, time spent: 22.0ms, 2.0% of total-time

Operation composed, time spent: 15.0ms, 1.0% of total-time

Operation const, time spent: 14.0ms, 1.0% of total-time

Operation ival-add, time spent: 11.0ms, 1.0% of total-time

Operation ival-exp, time spent: 9.0ms, 1.0% of total-time

series368.0ms (3.1%)

Counts

12 → 221

Calls

Call 1

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

Outputs
#<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 #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 (sqrt.f64 im)>
#<alt (+.f64 (sqrt.f64 im) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re)))>
#<alt (+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)))))>
#<alt (+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 -1/512 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 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 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 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)) (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)) (sqrt.f64 #s(literal -1 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)) (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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))>
#<alt (.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (/.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)))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))>
#<alt (sqrt.f64 im)>
#<alt (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))))>
#<alt (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (+.f64 (.f64 #s(literal -1/8 binary64) (.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 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 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 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))>
#<alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 1/32 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 -1/512 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 5 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 1/32 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))) (.f64 (pow.f64 #s(literal 2 binary64) #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 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (pow.f64 #s(literal 2 binary64) #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 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 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 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 re)))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (pow.f64 #s(literal 2 binary64) #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 2 binary64))))))))>
#<alt (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.f64 (pow.f64 im #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 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re))))))))>
#<alt (.f64 im (+.f64 (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 re) (/.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)))))) (sqrt.f64 #s(literal 1/2 binary64))))))))))))>
#<alt (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #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 binary64)))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #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 binary64)))))) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #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 binary64)))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #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 binary64)))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 binary64))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.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 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (sqrt.f64 #s(literal 2 binary64))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 (.f64 re (-.f64 (/.f64 #s(literal 1 binary64) im) (/.f64 #s(literal 1 binary64) (.f64 im (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
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#<alt (+.f64 (.f64 #s(literal -1/8 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 1/16 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))>
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#<alt (-.f64 (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64))))))) (.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 re)) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -3/32 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 7 binary64)))))) (.f64 #s(literal 7/128 binary64) (.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 11 binary64)))))))))))) (sqrt.f64 re))>
#<alt (-.f64 (sqrt.f64 im) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (*.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (sqrt.f64 im) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64))))))))) (sqrt.f64 re))>
#<alt (-.f64 (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))))) (sqrt.f64 re))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))))) (+.f64 (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 7 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/32 binary64) (pow.f64 re #s(literal 4 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 11 binary64)))) (.f64 (sqrt.f64 #s(literal -1 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (pow.f64 re #s(literal 6 binary64))) (+.f64 (.f64 #s(literal 1/384 binary64) (pow.f64 re #s(literal 6 binary64))) (*.f64 #s(literal 1/12 binary64) (pow.f64 re #s(literal 6 binary64)))))))))) (sqrt.f64 re))>

Calls

63 calls:

Time	Variable		Point	Expression
8.0ms	im	@	inf	(sqrt (* 2 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))
8.0ms	re	@	0	(sqrt (* 2 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))
6.0ms	im	@	0	(* (pow 2 1/4) (* (pow 2 1/4) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
5.0ms	im	@	inf	(* (pow 2 1/4) (* (pow 2 1/4) (sqrt (- (sqrt (+ (* re re) (* im im))) re))))
5.0ms	im	@	0	(sqrt (* 2 (* (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (exp (log (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))))))

rewrite145.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

500×	`associate-r`
338×	`associate-l`
276×	`log1p-expm1-u`
276×	`expm1-log1p-u`
275×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	359
1	658	311

Stop Event

1×	node limit

Counts

12 → 333

Calls

Call 1

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

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

simplify408.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1722×	`*-commutative`
976×	`times-frac`
678×	`+-commutative`
638×	`associate-r`
500×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	2053	47915
1	6183	45435

Stop Event

1×	node limit

Counts

554 → 835

Calls

Call 1

Inputs
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 #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)))))
(sqrt.f64 im)
(+.f64 (sqrt.f64 im) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re)))
(+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)))))
(+.f64 (sqrt.f64 im) (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re)) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))))
(.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 3 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 -1/512 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 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 1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 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)) (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)) (sqrt.f64 #s(literal -1 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)) (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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64)))))
(.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re)))))))
(.f64 im (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.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 #s(literal 1/2 binary64))) (sqrt.f64 re))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (/.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)))))) (sqrt.f64 #s(literal 1/2 binary64)))))))))))
(sqrt.f64 im)
(.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))))
(.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 im (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re)) (+.f64 (.f64 #s(literal -1/8 binary64) (.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 1/4 binary64) (*.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 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 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 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 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)) (sqrt.f64 #s(literal -1 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 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 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal -1 binary64)))))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) re))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) re))))) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) im)))) (.f64 re (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) re))) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))))))) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 im)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
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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)))
(cbrt.f64 (.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) #s(literal 3 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 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re)))
(+.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (cbrt.f64 (sqrt.f64 re))) (cbrt.f64 re) (sqrt.f64 re)))
(+.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (neg.f64 (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64)) (sqrt.f64 re)))
(+.f64 (fma.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)) (neg.f64 (.f64 (sqrt.f64 re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 re)) #s(literal 1 binary64) (.f64 (sqrt.f64 re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (.f64 (sqrt.f64 re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 re)) #s(literal 1 binary64) (.f64 (sqrt.f64 re) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (neg.f64 (.f64 (sqrt.f64 re) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (sqrt.f64 re)) #s(literal 1 binary64) (.f64 (sqrt.f64 re) #s(literal 1 binary64))))
(+.f64 (.f64 (sqrt.f64 (hypot.f64 re im)) #s(literal 1 binary64)) (.f64 (neg.f64 (sqrt.f64 re)) #s(literal 1 binary64)))
(-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))) #s(literal 1 binary64))
(-.f64 (/.f64 (hypot.f64 re im) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (/.f64 re (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(-.f64 (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (.f64 (hypot.f64 re im) re))))) (/.f64 (pow.f64 re #s(literal 3/2 binary64)) (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (.f64 (hypot.f64 re im) re))))))
(*.f64 (-.f64 (hypot.f64 re im) re) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(*.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (.f64 (hypot.f64 re im) re))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))) (/.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))) (/.f64 (-.f64 (hypot.f64 re im) re) (cbrt.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))) (/.f64 (-.f64 (hypot.f64 re im) re) (hypot.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))) (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) (hypot.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))) (/.f64 (cbrt.f64 (-.f64 (hypot.f64 re im) re)) (hypot.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64)))))
(*.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 re #s(literal 1/4 binary64))))
(/.f64 (-.f64 (hypot.f64 re im) re) (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (hypot.f64 re im) re)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (*.f64 (hypot.f64 re im) re)))) (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64))) (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (*.f64 (hypot.f64 re im) re)))))
(/.f64 (neg.f64 (-.f64 (hypot.f64 re im) re)) (neg.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 re #s(literal 3/2 binary64)))) (neg.f64 (+.f64 (hypot.f64 re im) (+.f64 re (sqrt.f64 (*.f64 (hypot.f64 re im) re))))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 re)) #s(literal 3 binary64))) (+.f64 (hypot.f64 re im) (-.f64 (.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re))) (.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))))
(/.f64 (-.f64 (hypot.f64 re im) (*.f64 (neg.f64 (sqrt.f64 re)) (neg.f64 (sqrt.f64 re)))) (-.f64 (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re))))
(pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 1 binary64))
(pow.f64 (E.f64) (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(pow.f64 (cbrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))) #s(literal 2 binary64)))) (cbrt.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))) (sqrt.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(sqrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)))))
(cbrt.f64 (pow.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (hypot.f64 re im) re) #s(literal 3 binary64)) (pow.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(log1p.f64 (expm1.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (hypot.f64 re im)) (neg.f64 (sqrt.f64 re)))
(fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))
(fma.f64 (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 1/4 binary64)) (neg.f64 (sqrt.f64 re)))

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

eval753.0ms (6.4%)

Compiler: Compiled 40515 to 26725 computations (34% saved)

prune287.0ms (2.4%)

Pruning

27 alts after pruning (19 fresh and 8 done)

	Pruned	Kept	Total
New	955	10	965
Fresh	2	9	11
Picked	2	3	5
Done	1	5	6
Total	960	27	987

Accuracy

100.0%

Counts

987 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(.f64 #s(literal 1/2 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)))
	20.1%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))))
▶	30.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 re #s(literal -2 binary64))))))
▶	15.3%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
	73.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 #s(literal 2 binary64))))))))
	25.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))))
	24.2%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64))))))
	18.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))))
✓	78.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
	25.7%	(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
▶	15.3%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	48.3%	(.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))))))
	7.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -2 binary64))))
▶	30.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
✓	50.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
✓	48.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	78.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
	23.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))
	22.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))))
✓	24.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))))
▶	73.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re))))))
✓	5.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))))
	56.0%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))

Compiler

Compiled 762 to 616 computations (19.2% saved)

localize354.0ms (3%)

Compiler: Compiled 227 to 153 computations (32.6% saved)
Precisions: Click to see histograms. Total time spent on operations: 217.0ms
Operation ival-pow, time spent: 84.0ms, 39.0% of total-time
Operation ival-mult, time spent: 56.0ms, 26.0% of total-time
Operation ival-sqrt, time spent: 26.0ms, 12.0% of total-time
Operation ival-div, time spent: 19.0ms, 9.0% of total-time
Operation const, time spent: 10.0ms, 5.0% of total-time
Operation composed, time spent: 10.0ms, 5.0% of total-time
Operation ival-log, time spent: 5.0ms, 2.0% of total-time
Operation ival-exp, time spent: 3.0ms, 1.0% of total-time
Operation ival-sub, time spent: 2.0ms, 1.0% of total-time
Operation ival-add, time spent: 2.0ms, 1.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune28.0ms (0.2%)

Pruning

27 alts after pruning (14 fresh and 13 done)

	Kept	Total
New	0	0
Fresh	14	14
Picked	5	5
Done	8	8
Total	27	27

Accuracy

100.0%

Counts

27 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.5%	(.f64 #s(literal 1/2 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)))
	20.1%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))))
✓	30.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 re #s(literal -2 binary64))))))
✓	15.3%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))))
	73.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 #s(literal 2 binary64))))))))
	25.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))))
	24.2%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64))))))
	18.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))))
✓	78.6%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
	25.4%	(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
	25.7%	(.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
✓	15.3%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
✓	48.3%	(.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))))))
	7.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -2 binary64))))
✓	30.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64))))
✓	50.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 re im) #s(literal -2 binary64))))))
✓	48.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	78.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
	23.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))
	22.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))))
✓	24.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))))
✓	73.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re))))))
✓	5.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))))
	56.0%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))

Compiler

Compiled 987 to 730 computations (26% saved)

regimes196.0ms (1.7%)

Counts

35 → 2

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 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 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -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) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
(.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))))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) 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) (.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))))
(.f64 #s(literal 1/2 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)))
(.f64 #s(literal 1/2 binary64) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 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 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 re #s(literal -2 binary64))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (-.f64 (hypot.f64 re im) re))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3/2 binary64)))))))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (exp.f64 (*.f64 (neg.f64 (log.f64 re)) #s(literal 1/2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 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 (pow.f64 (sqrt.f64 (pow.f64 re #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (*.f64 re (+.f64 re (hypot.f64 re im))))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 (neg.f64 re) #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 re) (neg.f64 re)) (.f64 (hypot.f64 re im) (neg.f64 re))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #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 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 (+.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 re)) (exp.f64 (log.f64 (fma.f64 (cbrt.f64 (hypot.f64 re im)) (cbrt.f64 (sqrt.f64 (hypot.f64 re im))) (neg.f64 (sqrt.f64 re)))))))))

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

Calls

7 calls:

44.0ms	re
43.0ms	im
26.0ms	(*.f64 im im)
21.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
21.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Results

Accuracy	Segments	Branch
90.5%	2	`re`
80.9%	3	`im`
90.8%	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))))`
90.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
90.1%	2	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
90.1%	2	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
80.9%	3	`(*.f64 im im)`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes42.0ms (0.4%)

Counts

10 → 3

Calls

Call 1

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

Outputs

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

Calls

2 calls:

22.0ms	im
18.0ms	re

Results

Accuracy	Segments	Branch
64.5%	3	`im`
80.0%	3	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

13.0ms

re

Results

Accuracy	Segments	Branch
80.0%	3	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

re

Results

Accuracy	Segments	Branch
65.3%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
50.4%	2	`im`
48.6%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	im
3.0ms	re

Results

Accuracy	Segments	Branch
5.5%	1	`re`
5.5%	1	`im`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch1.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	6.487448346008408e-124

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch72.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.796645789580213e-101	1.118322017735181e-79
30.0ms	-1.5511017409746563e-24	-9.778028091165496e-47

Results

46.0ms	308×	256	valid
10.0ms	26×	2048	valid
2.0ms	9×	512	valid
3.0ms	8×	1024	valid
0.0ms	1×	256	valid

Compiler

Compiled 572 to 467 computations (18.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-mult, time spent: 15.0ms, 52.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 24.0% of total-time

Operation ival-sub, time spent: 3.0ms, 10.0% of total-time

Operation ival-add, time spent: 3.0ms, 10.0% of total-time

Operation const, time spent: 1.0ms, 3.0% of total-time

bsearch71.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
40.0ms	2.796645789580213e-101	1.118322017735181e-79
31.0ms	-1.5511017409746563e-24	-9.778028091165496e-47

Results

45.0ms	308×	256	valid
8.0ms	21×	2048	valid
4.0ms	14×	1024	valid
2.0ms	8×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 484 to 401 computations (17.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

Operation ival-mult, time spent: 13.0ms, 46.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 28.0% of total-time

Operation ival-sub, time spent: 4.0ms, 14.0% of total-time

Operation ival-add, time spent: 3.0ms, 11.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	-1.5511017409746563e-24	-9.778028091165496e-47

Results

26.0ms	175×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 220 to 192 computations (12.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

Operation ival-mult, time spent: 7.0ms, 59.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 25.0% of total-time

Operation ival-sub, time spent: 1.0ms, 8.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch31.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
31.0ms	1.63810111167987e-232	6.346575083150014e-231

Results

11.0ms	75×	256	valid
9.0ms	18×	4096	valid
4.0ms	10×	2048	valid
2.0ms	5×	1024	valid
1.0ms	3×	512	valid
0.0ms	1×	512	valid

Compiler

Compiled 148 to 135 computations (8.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

Operation ival-mult, time spent: 6.0ms, 46.0% of total-time

Operation ival-sqrt, time spent: 4.0ms, 31.0% of total-time

Operation ival-sub, time spent: 1.0ms, 8.0% of total-time

Operation ival-add, time spent: 1.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative`
12×	`+-commutative`
8×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	454
1	97	454
2	103	454
3	105	454
4	106	454

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 re #s(literal -8091576455771893/49039857307708443467467104868809893875799651909875269632 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (if (<=.f64 re #s(literal 458903464748633/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(if (<=.f64 re #s(literal -4795552247492025/11417981541647679048466287755595961091061972992 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (if (<=.f64 re #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(if (<=.f64 re #s(literal -8206674233059269/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 2447171965689999/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))))

Outputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 re #s(literal -8091576455771893/49039857307708443467467104868809893875799651909875269632 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (if (<=.f64 re #s(literal 458903464748633/4171849679533027504677776769862406473833407270227837441302815640277772901915313574263597826048 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) (*.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(if (<=.f64 re #s(literal -4795552247492025/11417981541647679048466287755595961091061972992 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (if (<=.f64 re #s(literal 1368366694886833/16687398718132110018711107079449625895333629080911349765211262561111091607661254297054391304192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re)))) (.f64 #s(literal 1/2 binary64) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(if (<=.f64 re #s(literal -8206674233059269/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))))
(if (<=.f64 re #s(literal -8206674233059269/89202980794122492566142873090593446023921664 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 re #s(literal -4 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))))
(if (<=.f64 im #s(literal 2447171965689999/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))))
(if (<=.f64 im #s(literal 2447171965689999/13983839803942852150595109342614667231797724205161451430391332862456574221363722734055314582922181823940116947860839707067576592166539734717014172871857704892828551908192974659309961553456532605588398441519406859119106715628289835749686907766833152 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) im))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) #s(literal 0 binary64))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))

Compiler

Compiled 144 to 114 computations (20.8% saved)

soundness878.0ms (7.5%)

Rules

1208×	`fma-define`
1155×	`log1p-expm1-u`
1078×	`associate-r`
1062×	`fma-define`
1004×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	242
1	453	195
2	6171	195
0	905	28116
1	2381	26875
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	20	173
1	264	168
2	2857	168

Stop Event

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

Compiler

Compiled 684 to 365 computations (46.6% saved)

end0.0ms (0%)

preprocess323.0ms (2.8%)

Remove: (abs im)
Compiler: Compiled 446 to 336 computations (24.7% saved)

analyze135.0ms (1.1%)

sample2.6s (22%)

preprocess355.0ms (3%)

eval0.0ms (0%)

prune4.0ms (0%)

localize168.0ms (1.4%)

series37.0ms (0.3%)

rewrite286.0ms (2.4%)

simplify370.0ms (3.2%)

eval480.0ms (4.1%)

prune142.0ms (1.2%)

localize433.0ms (3.7%)

series57.0ms (0.5%)

rewrite202.0ms (1.7%)

simplify268.0ms (2.3%)

eval389.0ms (3.3%)

prune423.0ms (3.6%)

localize1.4s (11.6%)

series368.0ms (3.1%)

rewrite145.0ms (1.2%)

simplify408.0ms (3.5%)

eval753.0ms (6.4%)

prune287.0ms (2.4%)

localize354.0ms (3%)

eval0.0ms (0%)

prune28.0ms (0.2%)

regimes196.0ms (1.7%)

regimes42.0ms (0.4%)

regimes14.0ms (0.1%)

regimes9.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch1.0ms (0%)

bsearch72.0ms (0.6%)

bsearch71.0ms (0.6%)

bsearch31.0ms (0.3%)

bsearch31.0ms (0.3%)

simplify13.0ms (0.1%)

soundness878.0ms (7.5%)

end0.0ms (0%)

preprocess323.0ms (2.8%)

Profiling