Metrics for math.sqrt on complex, real part

analyze122.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	6
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	7
68.8%	68.7%	31.2%	0.1%	0%	0%	0%	8
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	9
71.9%	71.8%	28.1%	0.1%	0%	0%	0%	10
73.4%	73.4%	26.5%	0.1%	0%	0%	0%	11
73.4%	73.4%	26.5%	0.1%	0%	0%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 66.0ms

ival-mult: 35.0ms (53.4% of total)

ival-sqrt: 18.0ms (27.5% of total)

ival-add: 11.0ms (16.8% of total)

const: 1.0ms (1.5% of total)

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

sample1.7s (18.9%)

Results

548.0ms	6294×	0	valid
201.0ms	1063×	1	valid
265.0ms	899×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 731.0ms

ival-mult: 337.0ms (46.1% of total)

ival-sqrt: 197.0ms (27% of total)

ival-add: 124.0ms (17% of total)

backward-pass: 56.0ms (7.7% of total)

const: 16.0ms (2.2% of total)

Bogosity

preprocess103.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

255×	`fma-neg`
205×	`fma-define`
61×	`distribute-rgt-in`
43×	`sub-neg`
43×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	266
1	121	266
2	213	266
3	333	266
4	531	266
5	734	266
6	941	266
7	1149	266
8	1242	266
9	1252	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 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 im im))) 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 (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) 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))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(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) re))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (-.f64 (hypot.f64 re im) re))) #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 re (hypot.f64 re im)))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #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 im (hypot.f64 re im)))))

Symmetry

(abs im)

explain177.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Underpredictions	Example	Subexpression
132	0	-	0	-	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
43	1	(-1.7807964015963716e-248 8.635732030863387e-286)	0	-	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
28	0	-	3	(-9.020739080989855e-101 6.504822427316633e-210)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
0	0	-	0	-	`#s(literal 1/2 binary64)`
0	0	-	0	-	`(*.f64 im im)`
0	0	-	0	-	`re`
0	0	-	0	-	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
0	0	-	0	-	`#s(literal 2 binary64)`
0	0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	0	-	0	-	`im`
0	0	-	0	-	`(*.f64 re re)`
0	0	-	0	-	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`

Results

57.0ms	366×	0	valid
31.0ms	82×	1	valid
31.0ms	64×	2	valid

Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 36.0ms (49.4% of total)

ival-sqrt: 16.0ms (22% of total)

ival-add: 11.0ms (15.1% of total)

backward-pass: 7.0ms (9.6% of total)

const: 2.0ms (2.7% of total)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	36.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
▶	75.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))

Status

Accuracy

Program

▶

36.1%

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

▶

75.1%

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize155.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	cost-diff	320	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
✓	cost-diff	320	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	cost-diff	320	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
✓	accuracy	90.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓	accuracy	85.4%	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	accuracy	85.4%	(+.f64 re (hypot.f64 re im))
✓	accuracy	52.0%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))

Rules

6×	`*-commutative`
6×	`fma-define`
2×	`distribute-rgt-in`
2×	`hypot-define`
2×	`distribute-lft-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	339
1	40	339
2	48	339

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

47.0ms	183×	0	valid
20.0ms	41×	1	valid
37.0ms	32×	2	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-mult: 22.0ms (33.6% of total)

ival-sqrt: 18.0ms (27.5% of total)

ival-add: 10.0ms (15.3% of total)

ival-hypot: 8.0ms (12.2% of total)

backward-pass: 6.0ms (9.2% of total)

const: 2.0ms (3.1% of total)

series70.0ms (0.8%)

Counts

7 → 168

Calls

Call 1

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

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

Calls

42 calls:

Time	Variable		Point	Expression
35.0ms	re	@	inf	(sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re)))
2.0ms	re	@	-inf	(* 1/2 (sqrt (* 2 (+ (sqrt (+ (* re re) (* im im))) re))))
2.0ms	re	@	-inf	(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms	im	@	0	(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
1.0ms	re	@	inf	(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))

rewrite260.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`log1p-expm1-u`
763×	`expm1-log1p-u`
721×	`fma-define`
359×	`fma-neg`
192×	`expm1-undefine`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	187
1	316	187
2	3720	187

Stop Event

1×	node limit

Counts

7 → 234

Calls

Call 1

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

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

simplify201.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

767×	`fma-define`
653×	`associate-r`
568×	`associate-l`
386×	`distribute-rgt-in`
384×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	817	23212
1	2409	22076

Stop Event

1×	node limit

Counts

402 → 488

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

eval169.0ms (1.9%)

Compiler: Compiled 12264 to 9296 computations (24.2% saved)

prune104.0ms (1.2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	474	14	488
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	476	14	490

Accuracy

86.6%

Counts

490 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	21.8%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶	73.5%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
	17.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
	51.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	71.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
▶	6.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
	53.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
	69.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
	69.9%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
▶	50.1%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
▶	75.1%	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))

Compiler

Compiled 376 to 288 computations (23.4% saved)

localize293.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	320	(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re)))
✓	cost-diff	320	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
✓	cost-diff	12864	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	cost-diff	12864	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
✓	accuracy	100.0%	(neg.f64 re)
✓	accuracy	99.6%	(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
✓	accuracy	99.5%	(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64))
✓	accuracy	82.9%	(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))

Rules

237×	`fma-neg`
236×	`fma-define`
51×	`unsub-neg`
44×	`distribute-rgt-in`
38×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	32	647
1	63	619
2	111	559
3	160	559
4	192	559
5	252	559
6	395	559
7	544	559
8	697	559
9	949	559
10	1071	559
11	1143	559
12	1178	559
13	1188	559

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 1/2 binary64)
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)
#s(literal 1 binary64)
(sqrt.f64 re)
re
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) re))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal 0 binary64)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re))))
(sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) re)))
(sqrt.f64 #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 (neg.f64 re) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) re))
#s(literal 0 binary64)
#s(literal 2 binary64)
(+.f64 (neg.f64 re) re)
(*.f64 #s(literal 2 binary64) (+.f64 re (neg.f64 re)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal 0 binary64) re))
#s(literal 0 binary64)
(neg.f64 re)
re
(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))))
#s(literal 1/2 binary64)
(cbrt.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 3/2 binary64))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 2 binary64)
#s(literal 3/2 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(cbrt.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 2 binary64)
#s(literal 3 binary64)

Results

91.0ms	145×	0	invalid
70.0ms	111×	0	valid

Compiler

Compiled 180 to 76 computations (57.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 109.0ms

ival-pow: 35.0ms (32.2% of total)

ival-mult: 34.0ms (31.3% of total)

ival-sqrt: 14.0ms (12.9% of total)

ival-cbrt: 12.0ms (11% of total)

ival-hypot: 6.0ms (5.5% of total)

const: 4.0ms (3.7% of total)

ival-add: 3.0ms (2.8% of total)

ival-neg: 1.0ms (0.9% of total)

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

series42.0ms (0.5%)

Counts

7 → 132

Calls

Call 1

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

Outputs
#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
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#<alt (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
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#<alt (+.f64 (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
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#<alt (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))>
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#<alt (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<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 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<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 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
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#<alt (.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<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))))>
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#<alt (*.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
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#<alt (+.f64 (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 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 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<alt (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (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 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (*.f64 #s(literal -1 binary64) re)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 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 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal -1/32 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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 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 1/32 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 #s(literal 1/2 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 -1/32 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))) (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 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 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 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 -1/32 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))) (+.f64 (.f64 #s(literal 1/1024 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 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 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 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.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)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/8 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 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>
#<alt #s(literal 0 binary64)>

Calls

33 calls:

Time	Variable		Point	Expression
7.0ms	re	@	-inf	(cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2)))
4.0ms	re	@	inf	(cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2)))
2.0ms	im	@	0	(cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2)))
2.0ms	im	@	inf	(cbrt (sqrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2)))
2.0ms	re	@	0	(cbrt (pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2) 3/2))

rewrite144.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`log1p-expm1-u`
850×	`expm1-log1p-u`
364×	`fma-define`
204×	`fma-neg`
145×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	26	218
1	362	186
2	4655	186

Stop Event

1×	node limit

Counts

7 → 177

Calls

Call 1

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

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

simplify357.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

876×	`fma-define`
753×	`times-frac`
476×	`distribute-lft-in`
470×	`distribute-rgt-in`
370×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	907	18563
1	2639	17402
2	6784	16991

Stop Event

1×	node limit

Counts

309 → 450

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/512 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 (sqrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 re) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(+.f64 (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(+.f64 (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (sqrt.f64 #s(literal 2 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))))
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(.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 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 im) (.f64 (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(*.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 1/8 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 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (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 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 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)))
(+.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))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.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 re))) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 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 3 binary64))))))) (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))))
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(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 re #s(literal 0 binary64))))
(.f64 (sqrt.f64 (.f64 re #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))
(log.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
(exp.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 1 binary64)))

Outputs
(*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re)) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/8 binary64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (cbrt.f64 (sqrt.f64 #s(literal 8 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 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))) (.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))) (.f64 re (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (.f64 #s(literal 1/8 binary64) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(fma.f64 re (fma.f64 re (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) re) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))))) (.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64))))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) im))))) (*.f64 (sqrt.f64 im) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 (sqrt.f64 re) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))
(.f64 re (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(.f64 re (fma.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))
(.f64 re (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(.f64 re (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))) (fma.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))))))
(.f64 re (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))))))
(.f64 re (fma.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (fma.f64 #s(literal -1/32 binary64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))
(.f64 re (+.f64 (fma.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/32 binary64) (/.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 re (+.f64 (fma.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (.f64 (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))))) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64))))) (+.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal -1/64 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))
(.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))
(.f64 im (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))
(+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(fma.f64 #s(literal 1/16 binary64) (.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64))))) (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 re) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 #s(literal 1/32 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 re))) (.f64 #s(literal 1/32 binary64) (.f64 (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64))) (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))))
(-.f64 (.f64 im (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))) (/.f64 (fma.f64 #s(literal -1/16 binary64) (.f64 (.f64 (pow.f64 im #s(literal 3 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64)))) (.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 re))) (.f64 (.f64 #s(literal 1/32 binary64) (.f64 (pow.f64 im #s(literal 5 binary64)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 1/2 binary64))))) (*.f64 (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))) (pow.f64 re #s(literal 3 binary64))))
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(.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 re (hypot.f64 im re)))))
(expm1.f64 (log1p.f64 (.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))))))
(log1p.f64 (expm1.f64 (.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.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 re (hypot.f64 im re)))))
(exp.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(.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 re (hypot.f64 im re)))))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 im re)))))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))) #s(literal 2 binary64))
#s(literal 0 binary64)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)))
#s(literal 0 binary64)
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))))
#s(literal 0 binary64)
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))))
#s(literal 0 binary64)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))) #s(literal 1 binary64)))
#s(literal 0 binary64)
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))) #s(literal 1 binary64))
#s(literal 0 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
#s(literal 0 binary64)
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
#s(literal 0 binary64)
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 re #s(literal 0 binary64))))
#s(literal 0 binary64)
(.f64 (sqrt.f64 (.f64 re #s(literal 0 binary64))) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 0 binary64)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)))
#s(literal 0 binary64)
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))))
#s(literal 0 binary64)
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/2 binary64))
#s(literal 0 binary64)
(pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))) #s(literal 1 binary64))
#s(literal 0 binary64)
(pow.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))) #s(literal 3 binary64))
#s(literal 0 binary64)
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
#s(literal 0 binary64)
(pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
#s(literal 0 binary64)
(fabs.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))
#s(literal 0 binary64)
(log.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64)))))))
#s(literal 0 binary64)
(cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))) #s(literal 3/2 binary64)))
#s(literal 0 binary64)
(expm1.f64 (log1p.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(log1p.f64 (expm1.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(exp.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (.f64 re #s(literal 0 binary64))))))
#s(literal 0 binary64)
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64)))) #s(literal 1/2 binary64)))
#s(literal 0 binary64)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (*.f64 re #s(literal 0 binary64))))) #s(literal 1 binary64)))
#s(literal 0 binary64)

eval197.0ms (2.2%)

Compiler: Compiled 14911 to 12216 computations (18.1% saved)

prune89.0ms (1%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	443	7	450
Fresh	0	9	9
Picked	2	3	5
Done	0	0	0
Total	445	19	464

Accuracy

88.6%

Counts

464 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
	68.9%	(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	47.7%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
	17.8%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) re) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
▶	74.2%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓	73.5%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
▶	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
▶	17.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
	51.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	71.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
	53.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
▶	69.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
	69.9%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓	75.1%	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
▶	6.8%	#s(literal 0 binary64)

Compiler

Compiled 527 to 430 computations (18.4% saved)

localize555.0ms (6.3%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	12800	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
✓	cost-diff	26112	(fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (*.f64 (hypot.f64 re im) #s(literal 2 binary64)))
✓	cost-diff	26112	(sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (*.f64 (hypot.f64 re im) #s(literal 2 binary64))))
✓	cost-diff	26112	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
✓	accuracy	86.3%	(cbrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
	accuracy	85.4%	(+.f64 re (hypot.f64 re im))
✓	accuracy	81.7%	(sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))
✓	accuracy	71.4%	(fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (*.f64 (hypot.f64 re im) #s(literal 2 binary64)))

Rules

381×	`fma-define`
319×	`fma-neg`
71×	`associate-r`
61×	`distribute-lft-neg-in`
61×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	688
1	57	688
2	76	688
3	109	688
4	128	688
5	152	688
6	197	688
7	266	688
8	304	688
9	409	688
10	566	688
11	666	688
12	878	688
13	1434	688
14	1760	688
15	1858	688
16	1911	688
17	1930	688

Stop Event

1×

saturated

Calls

Call 1

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

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

Results

84.0ms	111×	0	invalid
51.0ms	67×	0	valid
80.0ms	32×	2	valid
67.0ms	24×	1	valid
75.0ms	21×	3	valid
4.0ms	1×	4	valid

Compiler

Compiled 230 to 117 computations (49.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 291.0ms

ival-mult: 112.0ms (38.5% of total)

ival-cbrt: 42.0ms (14.5% of total)

ival-pow: 40.0ms (13.8% of total)

backward-pass: 21.0ms (7.2% of total)

ival-sqrt: 16.0ms (5.5% of total)

ival-fma: 15.0ms (5.2% of total)

ival-div: 11.0ms (3.8% of total)

ival-hypot: 10.0ms (3.4% of total)

const: 7.0ms (2.4% of total)

ival-log: 7.0ms (2.4% of total)

ival-exp: 5.0ms (1.7% of total)

ival-add: 2.0ms (0.7% of total)

ival-neg: 1.0ms (0.3% of total)

series55.0ms (0.6%)

Counts

6 → 144

Calls

Call 1

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

Outputs
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (+.f64 (/.f64 re im) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) im) (.f64 re (+.f64 (.f64 re (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) im))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))>
#<alt (*.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 re (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 6 binary64)) (pow.f64 re #s(literal 6 binary64)))) (+.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal -2 binary64)) #s(literal 3 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (+.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (/.f64 (pow.f64 im #s(literal 2 binary64)) re)))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (+.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (+.f64 (.f64 #s(literal 2 binary64) re) (+.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) re)))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (/.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) im)))>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 #s(literal 2 binary64) (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 4 binary64)))) (+.f64 (/.f64 (*.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) im) (/.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 im #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -2 binary64) im)>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 re #s(literal 2 binary64)) im)) (*.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) im)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 #s(literal 2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/4 binary64) (/.f64 (pow.f64 re #s(literal 4 binary64)) (pow.f64 im #s(literal 2 binary64)))) (pow.f64 re #s(literal 2 binary64))) im)) (.f64 re (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)))) im)))))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re))))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (.f64 (.f64 im (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))>
#<alt (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/9 binary64)) (.f64 re (cbrt.f64 #s(literal 2 binary64))))) (.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 re (.f64 (cbrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/9 binary64)))))))) (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 #s(literal 2 binary64)))))) (.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 re (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/9 binary64)) (cbrt.f64 #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 re (.f64 (cbrt.f64 #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/27 binary64) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64))))) (.f64 #s(literal 2/3 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64))) #s(literal 1/9 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/9 binary64))))))))))) (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 2 binary64)))) (.f64 (cbrt.f64 #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) im)) (.f64 #s(literal 1/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) im) #s(literal 1/9 binary64))))))))))) (*.f64 (cbrt.f64 im) (cbrt.f64 #s(literal 2 binary64))))>
#<alt (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 14 binary64)))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))))) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 14 binary64)))))) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 8 binary64)))))) (+.f64 (.f64 #s(literal 1/3 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 20 binary64)))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 im #s(literal 6 binary64))) (.f64 #s(literal 1/12 binary64) (/.f64 (.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (cbrt.f64 #s(literal 2 binary64))))) (*.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/24 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 7 binary64)))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/48 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 14 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64)))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (*.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/24 binary64) (.f64 (cbrt.f64 (.f64 (pow.f64 im #s(literal 8 binary64)) (pow.f64 re #s(literal 2 binary64)))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/576 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 14 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (.f64 (cbrt.f64 #s(literal -1 binary64)) (cbrt.f64 #s(literal 2 binary64))) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 5 binary64))))) (.f64 #s(literal 1/48 binary64) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 14 binary64)) (pow.f64 re #s(literal 4 binary64)))) (/.f64 (cbrt.f64 #s(literal 2 binary64)) (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 2 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 (cbrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) re)) (.f64 (cbrt.f64 #s(literal -1 binary64)) (.f64 (cbrt.f64 #s(literal 1/2 binary64)) (cbrt.f64 #s(literal 2 binary64))))))>
#<alt (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (*.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 (cbrt.f64 re) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/3 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (cbrt.f64 #s(literal 2 binary64))) (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 2 binary64)))))) (.f64 #s(literal 1/6 binary64) (.f64 (cbrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 #s(literal 2 binary64))))))))>
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#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 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 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 re (+.f64 (.f64 #s(literal -1/32 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 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))))>
#<alt (.f64 re (+.f64 (.f64 #s(literal -1/32 binary64) (.f64 (pow.f64 im #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 9 binary64)))))) (+.f64 (.f64 #s(literal -1/64 binary64) (.f64 (/.f64 (pow.f64 im #s(literal 4 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 9 binary64)))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (.f64 im (.f64 (sqrt.f64 #s(literal -1 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 1/32 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 #s(literal 1/2 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 -1/32 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))) (.f64 #s(literal 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 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 3 binary64))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 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 -1/32 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))) (+.f64 (.f64 #s(literal 1/1024 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 1/64 binary64) (.f64 (/.f64 (.f64 (pow.f64 im #s(literal 5 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 3 binary64)))))))) (pow.f64 re #s(literal 3 binary64)))) (.f64 #s(literal 1/2 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 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 re) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (.f64 (pow.f64 im #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.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)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 5 binary64)))) (.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 re #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))) (*.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) re)))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal 1/8 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 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64)))))))>
#<alt (.f64 im (+.f64 (.f64 #s(literal -1/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 im) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 5 binary64)))) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	im	@	-inf	(cbrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2))
3.0ms	im	@	0	(cbrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2))
3.0ms	re	@	inf	(cbrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2))
3.0ms	re	@	-inf	(cbrt (* (+ re (sqrt (+ (* re re) (* im im)))) 2))
2.0ms	re	@	-inf	(+ (* (* (cbrt (* re 2)) (cbrt (* re 2))) (cbrt (* re 2))) (* (sqrt (+ (* re re) (* im im))) 2))

rewrite153.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

957×	`log1p-expm1-u`
710×	`expm1-log1p-u`
181×	`pow1`
179×	`add-exp-log`
179×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	219
1	456	185
2	5455	185

Stop Event

1×	node limit

Counts

6 → 147

Calls

Call 1

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

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

simplify270.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

485×	`distribute-rgt-in`
485×	`distribute-lft-in`
476×	`times-frac`
459×	`*-commutative`
294×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	1062	12884921427
1	3303	12884920444
2	7499	12884920386

Stop Event

1×	node limit

Counts

291 → 497

Calls

Call 1

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

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

eval330.0ms (3.8%)

Compiler: Compiled 20743 to 16136 computations (22.2% saved)

prune197.0ms (2.2%)

Pruning

24 alts after pruning (16 fresh and 8 done)

	Pruned	Kept	Total
New	702	5	707
Fresh	0	11	11
Picked	0	5	5
Done	0	3	3
Total	702	24	726

Accuracy

88.6%

Counts

726 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶	68.9%	(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	47.7%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (pow.f64 im #s(literal 1/6 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
	17.8%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) re) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
▶	70.9%	(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
▶	70.3%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	70.4%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	18.4%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓	74.2%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	69.7%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓	73.5%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
✓	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
✓	17.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
▶	51.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	71.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
▶	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
	53.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
✓	69.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
	69.9%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓	75.1%	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
✓	6.8%	#s(literal 0 binary64)

Compiler

Compiled 633 to 509 computations (19.6% saved)

localize1.2s (13.2%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	25664	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
✓	cost-diff	25664	(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
✓	cost-diff	25664	(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
✓	cost-diff	25664	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
	accuracy	85.4%	(+.f64 re (hypot.f64 re im))
✓	accuracy	81.0%	(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
✓	accuracy	71.2%	(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
✓	accuracy	71.0%	(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)

Rules

711×	`sub-neg`
686×	`distribute-lft-neg-in`
441×	`cancel-sign-sub-inv`
325×	`distribute-rgt-out`
323×	`fma-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	1147
1	74	927
2	107	913
3	166	871
4	211	871
5	318	871
6	787	871
7	2627	871
8	3845	871
9	6981	871

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(*.f64 im #s(literal 2 binary64))
im
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 3 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
re
(hypot.f64 re im)
im
#s(literal 3/2 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64)))
(*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(cbrt.f64 re)
re
#s(literal 2 binary64)
(hypot.f64 re im)
im
#s(literal 3/2 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
#s(literal 2 binary64)
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(+.f64 re (hypot.f64 re im))
(sqrt.f64 (hypot.f64 re im))
(hypot.f64 re im)
re
im
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im)))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 im #s(literal 2 binary64)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) im))
(*.f64 im #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) im)
im
#s(literal 2 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(+.f64 re (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
re
(hypot.f64 re im)
im
#s(literal 2 binary64)
#s(literal 1/6 binary64)
#s(literal 3 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64))
(pow.f64 (+.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(+.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(+.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
#s(literal 2 binary64)
(+.f64 re (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
re
(hypot.f64 re im)
im
#s(literal 3/2 binary64)
(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (+.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)) #s(literal 3/2 binary64)))
(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64))
(pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64))
(pow.f64 (+.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64)) #s(literal 3/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3/2 binary64))
(cbrt.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(+.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 0 binary64))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))
(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(+.f64 re (hypot.f64 re im))
(pow.f64 (cbrt.f64 re) #s(literal 2 binary64))
(cbrt.f64 re)
re
#s(literal 2 binary64)
(hypot.f64 re im)
im
#s(literal 3/2 binary64)

Results

238.0ms	178×	0	valid
551.0ms	33×	2	valid
56.0ms	24×	1	valid
97.0ms	21×	3	valid

Compiler

Compiled 288 to 126 computations (56.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 852.0ms

ival-pow: 578.0ms (67.9% of total)

ival-mult: 91.0ms (10.7% of total)

ival-cbrt: 57.0ms (6.7% of total)

backward-pass: 31.0ms (3.6% of total)

ival-fma: 28.0ms (3.3% of total)

ival-log1p: 17.0ms (2% of total)

ival-sqrt: 15.0ms (1.8% of total)

ival-expm1: 14.0ms (1.6% of total)

ival-hypot: 10.0ms (1.2% of total)

const: 9.0ms (1.1% of total)

ival-add: 2.0ms (0.2% of total)

series41.0ms (0.5%)

Counts

6 → 144

Calls

Call 1

Inputs
#<alt (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)>
#<alt (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))>
#<alt (pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))>
#<alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))>
#<alt (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))>

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

Calls

36 calls:

Time	Variable		Point	Expression
10.0ms	im	@	inf	(+ (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)
2.0ms	re	@	-inf	(pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2) 1/6)
2.0ms	re	@	inf	(pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2) 1/6)
1.0ms	im	@	inf	(pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2) 1/6)
1.0ms	im	@	0	(pow (* (+ re (sqrt (+ (* re re) (* im im)))) 2) 1/6)

rewrite135.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`log1p-expm1-u`
1016×	`expm1-log1p-u`
672×	`prod-diff`
128×	`fma-neg`
107×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	176
1	316	176
2	3018	176

Stop Event

1×	node limit

Counts

6 → 141

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)
(fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im))
(pow.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re)))
(*.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))

Outputs
(+.f64 re (hypot.f64 re im))
(+.f64 (hypot.f64 re im) re)
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(+.f64 re (hypot.f64 re im))
(+.f64 (hypot.f64 re im) re)
(-.f64 (exp.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 re #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))) (/.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im))))
(*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 re (hypot.f64 re im)))
(*.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 re re (.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 re (hypot.f64 re im))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 re (hypot.f64 re im)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (-.f64 (pow.f64 re #s(literal 2 binary64)) (*.f64 re (hypot.f64 re im)))))
(/.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) (-.f64 re (hypot.f64 re im)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (neg.f64 (fma.f64 re re (*.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (neg.f64 (-.f64 re (hypot.f64 re im))))
(/.f64 (-.f64 (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64))) (-.f64 (hypot.f64 re im) re))
(pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 re (hypot.f64 re im))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 re (hypot.f64 re im)))))
(cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im))))
(log1p.f64 (expm1.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (log.f64 (+.f64 re (hypot.f64 re im))))
(exp.f64 (*.f64 (log.f64 (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/6 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/6 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))) (cbrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(.f64 (cbrt.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/12 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/12 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/6 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/6 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/6 binary64)))
(sqrt.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64))))
(exp.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (.f64 (.f64 #s(literal 1/6 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))) #s(literal 1 binary64))
(pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 2 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 1 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(.f64 (cbrt.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (+.f64 re (hypot.f64 re im))))
(*.f64 (sqrt.f64 (+.f64 re (hypot.f64 re im))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/6 binary64)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 2 binary64) re) (.f64 #s(literal 2 binary64) (hypot.f64 re im)))
(+.f64 (.f64 #s(literal 2 binary64) (hypot.f64 re im)) (.f64 #s(literal 2 binary64) re))
(+.f64 (.f64 re #s(literal 2 binary64)) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))
(+.f64 (.f64 (hypot.f64 re im) #s(literal 2 binary64)) (.f64 re #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64)))) (fma.f64 re re (.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64)))) (-.f64 re (hypot.f64 re im)))
(/.f64 (.f64 (+.f64 (pow.f64 (hypot.f64 re im) #s(literal 3 binary64)) (pow.f64 re #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 re re (.f64 (hypot.f64 re im) (-.f64 (hypot.f64 re im) re))))
(/.f64 (*.f64 (-.f64 (pow.f64 re #s(literal 2 binary64)) (pow.f64 (hypot.f64 re im) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 re (hypot.f64 re im)))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 re (hypot.f64 re im))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 1 binary64)))

simplify323.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

903×	`fma-define`
722×	`associate-r`
601×	`associate-l`
467×	`distribute-rgt-in`
467×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	907	19142
1	2733	17837

Stop Event

1×	node limit

Counts

285 → 454

Calls

Call 1

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

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

eval356.0ms (4%)

Compiler: Compiled 18405 to 14145 computations (23.1% saved)

prune189.0ms (2.1%)

Pruning

30 alts after pruning (17 fresh and 13 done)

	Pruned	Kept	Total
New	656	8	664
Fresh	2	9	11
Picked	0	5	5
Done	0	8	8
Total	658	30	688

Accuracy

88.6%

Counts

688 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	21.8%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
	65.1%	(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
✓	68.9%	(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	47.7%	(.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 im #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 3 binary64)))
	17.9%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64))))) #s(literal 3 binary64)))
	45.1%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (exp.f64 #s(literal 1/6 binary64)) (+.f64 (log.f64 #s(literal 2 binary64)) (log.f64 im))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) re))))) (cbrt.f64 (sqrt.f64 #s(literal 2 binary64)))) #s(literal 3 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 (cbrt.f64 (sqrt.f64 #s(literal 2 binary64))) (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 im #s(literal 2 binary64))) #s(literal 1/6 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) re) #s(literal 1/6 binary64)))) #s(literal 3 binary64)))
	67.0%	(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
✓	70.9%	(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))) #s(literal 3/2 binary64)))
	70.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (expm1.f64 (log1p.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (expm1.f64 (log1p.f64 (+.f64 re (hypot.f64 re im)))))))) #s(literal 3/2 binary64)))
	18.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) re)) (log.f64 (pow.f64 im #s(literal 2 binary64)))))) #s(literal 3 binary64)))
	47.6%	(.f64 #s(literal 1/2 binary64) (pow.f64 (exp.f64 (.f64 #s(literal 1/6 binary64) (+.f64 (log.f64 #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal 1 binary64) im)))))) #s(literal 3 binary64)))
✓	70.3%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	70.4%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	18.4%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 im #s(literal 2 binary64))) re) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓	74.2%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
	69.7%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))) #s(literal 2 binary64))) #s(literal 3/2 binary64)))
✓	73.5%	(.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (sqrt.f64 (.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)))) #s(literal 3 binary64)))
✓	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (fma.f64 (.f64 (cbrt.f64 (.f64 re #s(literal 2 binary64))) (cbrt.f64 (.f64 re #s(literal 2 binary64)))) (cbrt.f64 (.f64 re #s(literal 2 binary64))) (.f64 (hypot.f64 re im) #s(literal 2 binary64)))))
✓	17.9%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re))))
	51.4%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (+.f64 (.f64 #s(literal 2 binary64) im) (*.f64 re (+.f64 #s(literal 2 binary64) (/.f64 re im))))))
✓	51.9%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
	71.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (pow.f64 (cbrt.f64 re) #s(literal 2 binary64)) (cbrt.f64 re) (hypot.f64 re im)))))
✓	71.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (fma.f64 (sqrt.f64 (hypot.f64 re im)) (sqrt.f64 (hypot.f64 re im)) re))))
	53.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
✓	69.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (exp.f64 (log.f64 (+.f64 re (hypot.f64 re im)))))))
	69.9%	(.f64 #s(literal 1/2 binary64) (exp.f64 (.f64 (log.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64))) #s(literal 1/2 binary64))))
✓	75.1%	(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
✓	6.8%	#s(literal 0 binary64)

Compiler

Compiled 953 to 719 computations (24.6% saved)

regimes287.0ms (3.3%)

Counts

36 → 2

Calls

Call 1

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

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

Calls

7 calls:

134.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
73.0ms	(*.f64 im im)
27.0ms	im
20.0ms	re
12.0ms	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))

Results

Accuracy	Segments	Branch
79.6%	2	`re`
77.1%	3	`im`
80.8%	2	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`
80.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
79.5%	2	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
79.5%	2	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
77.1%	3	`(*.f64 im im)`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes3.0ms (0%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

re

Results

Accuracy	Segments	Branch
75.1%	1	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	im
4.0ms	re

Results

Accuracy	Segments	Branch
58.4%	4	`im`
63.8%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	re
1.0ms	im

Results

Accuracy	Segments	Branch
21.8%	1	`im`
27.4%	2	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal 0 binary64)

Outputs
#s(literal 0 binary64)

Calls

2 calls:

0.0ms	re
0.0ms	im

Results

Accuracy	Segments	Branch
6.8%	1	`im`
6.8%	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	3.8797455277801444e-150

Compiler

Compiled 22 to 16 computations (27.3% saved)

bsearch15.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	2.6630096717934454e-30	2.4579587857036037e-28

Results

9.0ms

112×

valid

Compiler

Compiled 134 to 114 computations (14.9% saved)

Precisions

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

ival-mult: 3.0ms (48.6% of total)

ival-sqrt: 2.0ms (32.4% of total)

ival-add: 1.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

bsearch84.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
82.0ms	-1.2962779079899754e-299	7.526212680165015e-300

Results

77.0ms

160×

valid

Compiler

Compiled 132 to 116 computations (12.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (55.8% of total)

ival-add: 2.0ms (22.3% of total)

ival-sqrt: 2.0ms (22.3% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative`
6×	`+-commutative`
3×	`sub-neg`
3×	`1-exp`
3×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	221
1	63	221
2	69	221
3	74	221
4	77	221
5	78	221

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
(if (<=.f64 re #s(literal 8563486156235759/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
#s(literal 0 binary64)

Outputs
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64))))
(if (<=.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))))) #s(literal 0 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 im #s(literal 2 binary64)) (neg.f64 re)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im)))))
(sqrt.f64 (*.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 re im))))
(if (<=.f64 re #s(literal 8563486156235759/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 8563486156235759/178405961588244985132285746181186892047843328 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) im))) (sqrt.f64 re))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(if (<=.f64 re #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(literal 0 binary64) (sqrt.f64 re))
#s(literal 0 binary64)

soundness412.0ms (4.7%)

Rules

767×	`fma-define`
763×	`log1p-expm1-u`
763×	`expm1-log1p-u`
721×	`fma-define`
653×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	187
1	316	187
2	3720	187
0	817	23212
1	2409	22076

Stop Event

1×	fuel
1×	node limit
1×	node limit

Compiler

Compiled 455 to 256 computations (43.7% saved)

preprocess68.0ms (0.8%)

Remove: (abs im)
Compiler: Compiled 452 to 304 computations (32.7% saved)

analyze122.0ms (1.4%)

sample1.7s (18.9%)

preprocess103.0ms (1.2%)

explain177.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize155.0ms (1.8%)

series70.0ms (0.8%)

rewrite260.0ms (2.9%)

simplify201.0ms (2.3%)

eval169.0ms (1.9%)

prune104.0ms (1.2%)

localize293.0ms (3.3%)

series42.0ms (0.5%)

rewrite144.0ms (1.6%)

simplify357.0ms (4.1%)

eval197.0ms (2.2%)

prune89.0ms (1%)

localize555.0ms (6.3%)

series55.0ms (0.6%)

rewrite153.0ms (1.7%)

simplify270.0ms (3.1%)

eval330.0ms (3.8%)

prune197.0ms (2.2%)

localize1.2s (13.2%)

series41.0ms (0.5%)

rewrite135.0ms (1.5%)

simplify323.0ms (3.7%)

eval356.0ms (4%)

prune189.0ms (2.1%)

regimes287.0ms (3.3%)

regimes3.0ms (0%)

regimes9.0ms (0.1%)

regimes4.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch15.0ms (0.2%)

bsearch84.0ms (1%)

simplify8.0ms (0.1%)

soundness412.0ms (4.7%)

preprocess68.0ms (0.8%)

end0.0ms (0%)

Profiling