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

analyze134.0ms (1.4%)

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: 71.0ms

Operation ival-mult, time spent: 32.0ms, 45.0% of total-time

Operation ival-sqrt, time spent: 19.0ms, 27.0% 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

sample2.5s (25.3%)

Results

1.3s	6433×	256	valid
323.0ms	689×	2048	valid
331.0ms	499×	4096	valid
264.0ms	417×	1024	valid
57.0ms	217×	512	valid
0.0ms	1×	256	valid

Precisions

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

Operation ival-mult, time spent: 559.0ms, 49.0% of total-time

Operation ival-sqrt, time spent: 298.0ms, 26.0% of total-time

Operation ival-add, time spent: 92.0ms, 8.0% of total-time

Operation ival-sub, time spent: 91.0ms, 8.0% of total-time

Operation ival->, time spent: 76.0ms, 7.0% of total-time

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

Bogosity

preprocess336.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

334×	`fma-define`
301×	`fmm-def`
68×	`distribute-rgt-in`
55×	`distribute-lft-neg-in`
55×	`sub-neg`

FPErrors

Click to see full error table

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	274
1	94	266
2	180	266
3	341	266
4	561	266
5	722	266
6	916	266
7	1223	266
8	1450	266
9	1477	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: 79.0ms

Operation ival-mult, time spent: 39.0ms, 49.0% of total-time

Operation ival-sqrt, time spent: 26.0ms, 33.0% 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: 4.0ms, 5.0% of total-time

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

77.5%

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

▶

38.2%

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize170.0ms (1.8%)

Localize:

Found 6 expressions with local error:

New	Accuracy	Program
✓	90.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))
✓	87.0%	(-.f64 (hypot.f64 re im) re)
✓	100.0%	(+.f64 (.f64 re re) (.f64 im im))
✓	90.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	87.0%	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	51.6%	(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: 87.0ms

Operation ival-mult, time spent: 38.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 23.0% of total-time

Operation composed, time spent: 15.0ms, 17.0% of total-time

Operation ival-sub, time spent: 6.0ms, 7.0% of total-time

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

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

series30.0ms (0.3%)

Counts

6 → 144

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)))>

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)))>
#<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)>
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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))))))))>

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	im	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms	im	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
2.0ms	re	@	-inf	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms	re	@	inf	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))
1.0ms	re	@	0	(sqrt (* 2 (- (sqrt (+ (* re re) (* im im))) re)))

rewrite276.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

981×	`log1p-expm1-u`
981×	`expm1-log1p-u`
531×	`fma-define`
472×	`log-prod`
220×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	145
1	264	140
2	2857	140

Stop Event

1×	node limit

Counts

6 → 334

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)))

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)))))
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(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)))

simplify290.0ms (3%)

Algorithm

1×	egg-herbie

Rules

472×	`associate-r`
467×	`fma-define`
436×	`associate-l`
404×	`*-commutative`
378×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	768	24973
1	1977	23606
2	6888	23458

Stop Event

1×	node limit

Counts

478 → 440

Calls

Call 1

Inputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
im
(+.f64 im (*.f64 #s(literal -1 binary64) re))
(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(+.f64 im (.f64 re (-.f64 (.f64 re (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))) #s(literal 1 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))))) re)
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 im #s(literal 8 binary64))) (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 8 binary64)))) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))))) re)
(*.f64 #s(literal -2 binary64) re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.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)))))
(*.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)))
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(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)))

Outputs
im
(+.f64 im (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (*.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) im)) im)
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)))))
(+.f64 im (.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64)))) (/.f64 #s(literal 1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im))))
(fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 (pow.f64 re #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) im)) im)
re
(.f64 re (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 re (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))))
(.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) re)
(neg.f64 re)
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 re (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #s(literal 4 binary64)))) (neg.f64 re))
(.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))))))))
(.f64 (neg.f64 re) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))))
(.f64 re (neg.f64 (+.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64))) (/.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (pow.f64 re #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 1 binary64)))))
re
(+.f64 re (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) re)) re)
(+.f64 re (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) re)))))
(+.f64 re (*.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (neg.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 re #s(literal 3 binary64))))) (/.f64 #s(literal 1/2 binary64) re))))
(fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64))) (/.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) re)) re)
im
(.f64 im (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 im (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 im (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))))
(.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 im (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 im (+.f64 (fma.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) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) im)
(neg.f64 im)
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))
(.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 re #s(literal 4 binary64))) (pow.f64 im #s(literal 4 binary64)))) (neg.f64 im))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))))
(.f64 (neg.f64 im) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 re #s(literal 6 binary64)) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))))
(.f64 (+.f64 (fma.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) (pow.f64 re #s(literal 6 binary64))) (pow.f64 im #s(literal 6 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 im))
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))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (/.f64 re im) #s(literal -1 binary64)) im)
(fma.f64 re (fma.f64 re (/.f64 #s(literal 1/2 binary64) im) #s(literal -1 binary64)) im)
(+.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))))
(fma.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)) im)
(*.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 (fma.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 4 binary64))) (pow.f64 re #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 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) #s(literal 2 binary64)) (neg.f64 re))
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(fma.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (+.f64 (neg.f64 re) re))
(-.f64 (hypot.f64 im re) (-.f64 re (+.f64 re (neg.f64 re))))
(+.f64 (-.f64 (hypot.f64 im re) re) (*.f64 #s(literal 0 binary64) re))
(-.f64 (hypot.f64 im re) (fma.f64 #s(literal 0 binary64) re re))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (neg.f64 re))
(-.f64 (hypot.f64 im re) re)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) (*.f64 (neg.f64 re) #s(literal 1 binary64)))
(-.f64 (hypot.f64 im re) re)
(fma.f64 (sqrt.f64 re) (neg.f64 (sqrt.f64 re)) (hypot.f64 re im))
(-.f64 (hypot.f64 im re) 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 re) #s(literal 1 binary64) re))
(fma.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(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 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(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 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re (+.f64 re (hypot.f64 im re)) (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))))
(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 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 im re))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(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 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 im re))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(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 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 im re))) (+.f64 re (neg.f64 re)))
(+.f64 (*.f64 #s(literal 0 binary64) re) (/.f64 (-.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (+.f64 re (hypot.f64 im re))))
(fma.f64 (neg.f64 (sqrt.f64 re)) (sqrt.f64 re) (hypot.f64 re im))
(-.f64 (hypot.f64 im re) re)
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64))) (cbrt.f64 re) (hypot.f64 re im))
(-.f64 (hypot.f64 im re) re)
(fma.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (hypot.f64 re im) (neg.f64 re))
(-.f64 (hypot.f64 im re) 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)))
(-.f64 (hypot.f64 im re) 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)) (neg.f64 re))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) re)
(fma.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 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)))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) re)
(fma.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 re)) (cbrt.f64 (neg.f64 re))) (cbrt.f64 (neg.f64 re)) (hypot.f64 re im))
(-.f64 (hypot.f64 im re) 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)))) (neg.f64 re))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) re)
(fma.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #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)))
(-.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64))))) re)
(fma.f64 (fabs.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (sqrt.f64 (cbrt.f64 (pow.f64 (hypot.f64 im re) #s(literal 2 binary64)))) (neg.f64 re))
(fma.f64 (sqrt.f64 (neg.f64 re)) (sqrt.f64 (neg.f64 re)) (hypot.f64 re im))
(-.f64 (hypot.f64 im re) re)
(fma.f64 #s(literal -1 binary64) re (hypot.f64 re im))
(-.f64 (hypot.f64 im re) 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 re) #s(literal 1 binary64) re))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (+.f64 re (neg.f64 re)))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (*.f64 #s(literal 0 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 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (+.f64 re (neg.f64 re)))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (*.f64 #s(literal 0 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))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (+.f64 re (neg.f64 re)))
(fma.f64 (+.f64 (sqrt.f64 re) (sqrt.f64 (hypot.f64 im re))) (-.f64 (sqrt.f64 (hypot.f64 im re)) (sqrt.f64 re)) (*.f64 #s(literal 0 binary64) re))
(+.f64 #s(literal 0 binary64) (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(+.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 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))) (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))))
(+.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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(.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 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(.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 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 re im) re)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) re)))
(*.f64 (sqrt.f64 (-.f64 (hypot.f64 re im) re)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (-.f64 (hypot.f64 im re) 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)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(.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))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(.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 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(.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 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(.f64 (fabs.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))) (sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(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))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 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 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (-.f64 (hypot.f64 re im) re) #s(literal 2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 im re) re)))

eval205.0ms (2.1%)

Compiler: Compiled 10559 to 7504 computations (28.9% saved)

prune372.0ms (3.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	429	11	440
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	430	12	442

Accuracy

99.8%

Counts

442 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 im (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 (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))))))))
	28.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
▶	28.1%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
▶	49.8%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
	6.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
▶	52.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
	14.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.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)))))))
▶	26.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
▶	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
	15.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))

Compiler

Compiled 366 to 309 computations (15.6% saved)

localize410.0ms (4.2%)

Compiler: Compiled 178 to 121 computations (32% saved)
Precisions: Click to see histograms. Total time spent on operations: 287.0ms
Operation ival-mult, time spent: 217.0ms, 75.0% of total-time
Operation ival-sqrt, time spent: 41.0ms, 14.0% of total-time
Operation ival-div, time spent: 14.0ms, 5.0% of total-time
Operation ival-sub, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 7.0ms, 2.0% of total-time

eval0.0ms (0%)

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

prune9.0ms (0.1%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	5	5
Done	1	1
Total	12	12

Accuracy

99.8%

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	18.3%	(.f64 #s(literal 1/2 binary64) (fma.f64 im (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 (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))))))))
▶	28.3%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))
✓	28.1%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 im (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
✓	49.8%	(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
▶	6.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 re re))))
✓	52.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
▶	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
▶	14.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.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)))))))
✓	26.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
✓	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
▶	15.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))))

Compiler

Compiled 307 to 259 computations (15.6% saved)

localize925.0ms (9.6%)

Localize:

Found 12 expressions with local error:

New	Accuracy	Program
✓	95.4%	(.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))))
✓	92.6%	(/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))
✓	90.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.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))))))
✓	99.9%	(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
✓	99.9%	(.f64 (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
✓	99.9%	(*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))
✓	99.8%	(.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
✓	95.4%	(/.f64 (pow.f64 im #s(literal 2 binary64)) re)
✓	90.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))
✓	100.0%	(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
✓	100.0%	(.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
✓	89.3%	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))))

Compiler

Compiled 352 to 254 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 343.0ms

Operation ival-mult, time spent: 104.0ms, 30.0% of total-time

Operation ival-pow, time spent: 104.0ms, 30.0% of total-time

Operation ival-div, time spent: 56.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 44.0ms, 13.0% of total-time

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

Operation ival-add, time spent: 12.0ms, 3.0% of total-time

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

series56.0ms (0.6%)

Counts

12 → 176

Calls

Call 1

Inputs
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))))>
#<alt (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))>
#<alt (+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (/.f64 (pow.f64 im #s(literal 2 binary64)) re)>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (.f64 (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) re))>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (.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)) (pow.f64 re #s(literal 3 binary64)))>
#<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))))>

Outputs
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (.f64 re (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) im)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 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 -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) im)>
#<alt (/.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 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 -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))))) im)>
#<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 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 (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)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 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 -1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #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 (sqrt.f64 #s(literal 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<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 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 im (.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 im (.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 im (.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (-.f64 im (.f64 #s(literal 1/4 binary64) (/.f64 im (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (.f64 re (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) re)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
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#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 5 binary64))))) (+.f64 (.f64 #s(literal 1/128 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 9 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))) (sqrt.f64 re))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (pow.f64 re #s(literal 5 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (.f64 #s(literal 1/4 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64)))))))) (pow.f64 re #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1/8 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 re)) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/8 binary64))))) (.f64 (pow.f64 re #s(literal 3 binary64)) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/128 binary64) (.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal -1/8 binary64)) #s(literal 5 binary64)))) (sqrt.f64 re)))))))) (pow.f64 re #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 -1/512 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 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 -1/8192 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 7 binary64)) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 13 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 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 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 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal -1 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 3 binary64)))))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/512 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 3 binary64))) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))) (.f64 #s(literal -1/8192 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 7 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 re)))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) re))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
#<alt (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #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))))) (pow.f64 re #s(literal 3 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 #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 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) re)>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re))>

Calls

63 calls:

Time	Variable		Point	Expression
4.0ms	im	@	inf	(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))
3.0ms	re	@	-inf	(sqrt (* 2 (* 1/2 (/ (pow im 2) re))))
2.0ms	re	@	-inf	(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))
2.0ms	re	@	0	(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))
2.0ms	re	@	inf	(sqrt (* 2 (* (pow im 2) (+ (* -1/8 (/ (pow im 2) (pow re 3))) (* 1/2 (/ 1 re))))))

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

336×	`associate-r`
291×	`log1p-expm1-u`
291×	`expm1-log1p-u`
285×	`add-cube-cbrt`
284×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	384
1	687	338

Stop Event

1×	node limit

Counts

12 → 318

Calls

Call 1

Inputs
(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))))
(.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))
(+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64))))
(sqrt.f64 (.f64 #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)) re)
(.f64 (.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 im (sqrt.f64 #s(literal 1/2 binary64)))
(.f64 (.f64 (*.f64 im (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) re))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.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)) (pow.f64 re #s(literal 3 binary64)))
(.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))))

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

simplify383.0ms (4%)

Algorithm

1×	egg-herbie

Rules

559×	`fma-define`
338×	`associate-*r/`
333×	`*-commutative`
313×	`fmm-def`
230×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1028	24536
1	2625	23282
2	6947	22944

Stop Event

1×	node limit

Counts

494 → 567

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 (sqrt.f64 im) (.f64 re (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) im)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 re (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 im))) im)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (pow.f64 im #s(literal 3 binary64))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (.f64 (sqrt.f64 im) re) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) im)
(/.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 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 -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) im)
(/.f64 (fma.f64 (sqrt.f64 im) (.f64 re (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 im #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)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))) im)
(/.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (sqrt.f64 im) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 (sqrt.f64 im) re) (*.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) im)
(/.f64 (+.f64 (.f64 (sqrt.f64 im) (.f64 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 -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))))) im)
(/.f64 (fma.f64 (sqrt.f64 im) (.f64 re (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 im #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)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 im (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (sqrt.f64 #s(literal 1/2 binary64))))))))))) im)
(/.f64 (fma.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 im (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 re (.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) re)))) (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))))) (.f64 (.f64 (sqrt.f64 im) re) (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) im)
(*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 im))
(.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)))))
(.f64 im (fma.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)))))
(.f64 im (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 re (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 (.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))))))
(.f64 im (fma.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)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))
(.f64 im (fma.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)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)) (.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #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 (.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)))))))
(.f64 im (fma.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)))) (fma.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))
(.f64 im (+.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 re (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))
(neg.f64 (.f64 (sqrt.f64 im) (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 im)))
(.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 2 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))
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(.f64 (pow.f64 im #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -1/8 binary64) (pow.f64 im #s(literal 2 binary64))) (pow.f64 re #s(literal -3 binary64)) (/.f64 #s(literal 1/2 binary64) re)))

eval364.0ms (3.8%)

Compiler: Compiled 14967 to 11985 computations (19.9% saved)

prune118.0ms (1.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	562	5	567
Fresh	1	0	1
Picked	4	1	5
Done	2	4	6
Total	569	10	579

Accuracy

100.0%

Counts

579 → 10

Alt Table

Click to see full alt table

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

Compiler

Compiled 168 to 135 computations (19.6% saved)

localize385.0ms (4%)

Localize:

Found 7 expressions with local error:

New	Accuracy	Program
✓	99.9%	(/.f64 im (sqrt.f64 re))
✓	99.7%	(pow.f64 (sqrt.f64 (/.f64 im (sqrt.f64 re))) #s(literal 2 binary64))
✓	94.3%	(sqrt.f64 (/.f64 im (sqrt.f64 re)))
✓	99.8%	(*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))
✓	81.9%	(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re)))))
✓	99.8%	(*.f64 (pow.f64 re #s(literal -1/2 binary64)) im)
✓	99.9%	(/.f64 im (sqrt.f64 re))

Compiler

Compiled 148 to 80 computations (45.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

Operation ival-mult, time spent: 213.0ms, 79.0% of total-time

Operation ival-pow, time spent: 20.0ms, 7.0% of total-time

Operation ival-div, time spent: 19.0ms, 7.0% of total-time

Operation ival-sqrt, time spent: 11.0ms, 4.0% of total-time

Operation const, time spent: 5.0ms, 2.0% of total-time

series159.0ms (1.6%)

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
81.0ms	re	@	0	(sqrt (/ im (sqrt re)))
38.0ms	im	@	0	(sqrt (/ im (sqrt re)))
23.0ms	re	@	-inf	(/ im (sqrt re))
7.0ms	re	@	inf	(sqrt (/ im (sqrt re)))
1.0ms	im	@	-inf	(pow (sqrt (/ im (sqrt re))) 2)

rewrite145.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

969×	`log1p-expm1-u`
969×	`expm1-log1p-u`
620×	`log-prod`
164×	`expm1-undefine`
164×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	128
1	332	125
2	3402	125

Stop Event

1×	node limit

Counts

7 → 391

Calls

Call 1

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

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

simplify368.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-define`
479×	`associate-/r*`
366×	`*-commutative`
274×	`distribute-lft-in`
225×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	371	14861
1	747	14395
2	2325	14395

Stop Event

1×	node limit

Counts

559 → 194

Calls

Call 1

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

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

eval279.0ms (2.9%)

Compiler: Compiled 3683 to 2308 computations (37.3% saved)

prune90.0ms (0.9%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	265	2	267
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	266	11	277

Accuracy

100.0%

Counts

277 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	28.4%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 im (pow.f64 re #s(literal 1/4 binary64))) (pow.f64 re #s(literal 1/4 binary64))))
✓	28.5%	(*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))
	28.3%	(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 re) im)))
✓	28.5%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im))
✓	77.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))))
✓	52.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re))))
✓	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im (.f64 re (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 re im)) #s(literal 1 binary64)))))))
✓	26.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal -2 binary64)))))
✓	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 im (-.f64 #s(literal 1 binary64) (/.f64 re im))))))
✓	19.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 im #s(literal 1 binary64)) (/.f64 im re))))))
✓	50.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im)))

Compiler

Compiled 371 to 291 computations (21.6% saved)

regimes63.0ms (0.7%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

7 calls:

15.0ms	im
12.0ms	re
9.0ms	(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
7.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
6.0ms	(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))

Results

Accuracy	Segments	Branch
88.4%	2	`re`
79.2%	3	`im`
89.1%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
89.1%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
89.9%	2	`(.f64 #s(literal 2 binary64) (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
89.9%	2	`(-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.5%	1	`(*.f64 im im)`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes31.0ms (0.3%)

Counts

11 → 5

Calls

Call 1

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

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

Calls

2 calls:

18.0ms	im
12.0ms	re

Results

Accuracy	Segments	Branch
66.3%	5	`im`
80.1%	5	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts

4 → 5

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
78.9%	5	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 4

Calls

Call 1

Inputs

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

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

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

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
66.1%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

re

Results

Accuracy	Segments	Branch
66.1%	4	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (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) im)))

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

Calls

2 calls:

1.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
50.1%	1	`im`
50.1%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0	1.0338562732753327e-306

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch138.0ms (1.4%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
42.0ms	7.4841504680075985e-56	1.1467521123186439e-48
16.0ms	5.3347205955501085e-89	8.957672280116087e-89
57.0ms	4.0995277252151877e-190	6.04869674814094e-164
22.0ms	-2.4644317126185027e+89	-1.336849203073504e+86

Results

82.0ms	409×	256	valid
15.0ms	43×	1024	valid
19.0ms	34×	2048	valid
6.0ms	25×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 667 to 554 computations (16.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

Operation ival-mult, time spent: 22.0ms, 44.0% of total-time

Operation ival-sqrt, time spent: 13.0ms, 26.0% of total-time

Operation ival-add, time spent: 10.0ms, 20.0% of total-time

Operation ival-sub, time spent: 4.0ms, 8.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

bsearch112.0ms (1.2%)

Algorithm

4×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	7.4841504680075985e-56	1.1467521123186439e-48
15.0ms	5.3347205955501085e-89	8.957672280116087e-89
36.0ms	4.0995277252151877e-190	6.04869674814094e-164
23.0ms	-2.639407796517129e+61	-2.9609101190350262e+60

Results

66.0ms	386×	256	valid
14.0ms	44×	1024	valid
11.0ms	28×	2048	valid
5.0ms	21×	512	valid
0.0ms	1×	1024	valid

Compiler

Compiled 589 to 499 computations (15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 50.0ms

Operation ival-mult, time spent: 19.0ms, 38.0% of total-time

Operation ival-sqrt, time spent: 17.0ms, 34.0% of total-time

Operation ival-add, time spent: 7.0ms, 14.0% of total-time

Operation ival-sub, time spent: 5.0ms, 10.0% of total-time

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

bsearch90.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
39.0ms	7.4841504680075985e-56	1.1467521123186439e-48
16.0ms	5.3347205955501085e-89	8.957672280116087e-89
35.0ms	4.0995277252151877e-190	6.04869674814094e-164

Results

40.0ms	277×	256	valid
13.0ms	42×	1024	valid
17.0ms	41×	2048	valid
7.0ms	23×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 469 to 391 computations (16.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

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

Operation ival-sqrt, time spent: 10.0ms, 26.0% of total-time

Operation ival-sub, time spent: 5.0ms, 13.0% of total-time

Operation ival-add, time spent: 4.0ms, 10.0% of total-time

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

bsearch93.0ms (1%)

Algorithm

3×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	7.4841504680075985e-56	1.1467521123186439e-48
17.0ms	5.3347205955501085e-89	8.957672280116087e-89
36.0ms	4.0995277252151877e-190	6.04869674814094e-164

Results

45.0ms	279×	256	valid
15.0ms	45×	1024	valid
17.0ms	40×	2048	valid
4.0ms	19×	512	valid
0.0ms	1×	256	valid

Compiler

Compiled 454 to 376 computations (17.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

Operation ival-mult, time spent: 22.0ms, 54.0% of total-time

Operation ival-sqrt, time spent: 10.0ms, 25.0% of total-time

Operation ival-sub, time spent: 4.0ms, 10.0% of total-time

Operation ival-add, time spent: 4.0ms, 10.0% of total-time

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
5×	`+-commutative`
4×	`sub-neg`
4×	`not-or`
4×	`if-if-or-not`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	698
1	103	685
2	112	685
3	117	681
4	119	681
5	120	681

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7391324607069269/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 7766781510556093/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -5399999999999999869415299874795689987432280004421928032927744 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 1684996666696915/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 537538738122673/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) (if (<=.f64 re #s(literal 5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im)))

Outputs
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 (-.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re)))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7391324607069269/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 7766781510556093/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -5999999999999999756500346738102176388951976537890708638018434058840223537705726553096192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 7391324607069269/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 im re)))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 7766781510556093/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -5399999999999999869415299874795689987432280004421928032927744 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal -5399999999999999869415299874795689987432280004421928032927744 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal -2 binary64))))) (if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (if (<=.f64 re #s(literal 7740557828966491/143343663499379469475676305956380433799785311823017570233599302461682679755530300504376159569382855409664 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 6318737500113431/6582018229284824168619876730229402019930943462534319453394436096 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re)))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 re #s(literal -1/2 binary64)) im)) (if (<=.f64 re #s(literal 1684996666696915/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (if (<=.f64 re #s(literal 5017028222478281/71671831749689734737838152978190216899892655911508785116799651230841339877765150252188079784691427704832 binary64)) (.f64 #s(literal 1/2 binary64) (.f64 im (pow.f64 re #s(literal -1/2 binary64)))) (if (<=.f64 re #s(literal 1684996666696915/105312291668557186697918027683670432318895095400549111254310977536 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (if (<=.f64 re #s(literal 537538738122673/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) (if (<=.f64 re #s(literal 5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))))
(if (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (if (or (<=.f64 re #s(literal 537538738122673/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (not (<=.f64 re #s(literal 5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 im #s(literal 2 binary64))))))
(if (or (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (not (or (<=.f64 re #s(literal 537538738122673/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64)) (not (<=.f64 re #s(literal 5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(if (or (<=.f64 re #s(literal 3890170845825931/64836180763765514976756372870174392984569472378788076562432145776416450178326689787495422639798496785753091978301574830974924235553308989185732419283030682610330965678148586307584 binary64)) (and (not (<=.f64 re #s(literal 537538738122673/8958978968711216842229769122273777112486581988938598139599956403855167484720643781523509973086428463104 binary64))) (<=.f64 re #s(literal 5265614583427859/13164036458569648337239753460458804039861886925068638906788872192 binary64)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 im (sqrt.f64 re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))

Compiler

Compiled 210 to 161 computations (23.3% saved)

soundness909.0ms (9.4%)

Rules

559×	`fma-define`
472×	`associate-r`
467×	`fma-define`
436×	`associate-l`
404×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1028	24536
1	2625	23282
2	6947	22944
0	42	274
1	94	266
2	180	266
3	341	266
4	561	266
5	722	266
6	916	266
7	1223	266
8	1450	266
9	1477	266
0	768	24973
1	1977	23606
2	6888	23458
0	40	384
1	687	338

Stop Event

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

Compiler

Compiled 460 to 338 computations (26.5% saved)

end0.0ms (0%)

preprocess122.0ms (1.3%)

Remove: (abs im)
Compiler: Compiled 562 to 402 computations (28.5% saved)

analyze134.0ms (1.4%)

sample2.5s (25.3%)

preprocess336.0ms (3.5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize170.0ms (1.8%)

series30.0ms (0.3%)

rewrite276.0ms (2.9%)

simplify290.0ms (3%)

eval205.0ms (2.1%)

prune372.0ms (3.8%)

localize410.0ms (4.2%)

eval0.0ms (0%)

prune9.0ms (0.1%)

localize925.0ms (9.6%)

series56.0ms (0.6%)

rewrite128.0ms (1.3%)

simplify383.0ms (4%)

eval364.0ms (3.8%)

prune118.0ms (1.2%)

localize385.0ms (4%)

series159.0ms (1.6%)

rewrite145.0ms (1.5%)

simplify368.0ms (3.8%)

eval279.0ms (2.9%)

prune90.0ms (0.9%)

regimes63.0ms (0.7%)

regimes31.0ms (0.3%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

bsearch0.0ms (0%)

bsearch138.0ms (1.4%)

bsearch112.0ms (1.2%)

bsearch90.0ms (0.9%)

bsearch93.0ms (1%)

simplify19.0ms (0.2%)

soundness909.0ms (9.4%)

end0.0ms (0%)

preprocess122.0ms (1.3%)

Profiling