Metrics for math.sqrt on complex, real part

analyze134.0ms (1.7%)

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: 73.0ms

ival-mult: 43.0ms (58.8% of total)

ival-sqrt: 17.0ms (23.2% of total)

ival-add: 11.0ms (15% of total)

const: 2.0ms (2.7% of total)

sample2.1s (26.5%)

Results

843.0ms	6304×	0	valid
367.0ms	1059×	1	valid
398.0ms	893×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 986.0ms

ival-mult: 457.0ms (46.3% of total)

ival-sqrt: 265.0ms (26.9% of total)

ival-add: 158.0ms (16% of total)

backward-pass: 84.0ms (8.5% of total)

const: 22.0ms (2.2% of total)

Bogosity

preprocess96.0ms (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 (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 (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)

explain644.0ms (8.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
141	-	2	(1.8205080464662063e-212 4.020419539256523e-157)	`(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))`
35	-	0	-	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
25	-	2	(-1.1259843198927289e-94 2.1896835766816466e-208)	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
0	-	0	-	`#s(literal 1/2 binary64)`
0	-	0	-	`(*.f64 im im)`
0	-	0	-	`re`
0	-	0	-	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (.f64 re re) (.f64 im im))`
0	-	0	-	`im`
0	-	0	-	`(*.f64 re re)`
0	-	0	-	`(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))`

Results

88.0ms	394×	256	valid
38.0ms	50×	2048	valid
20.0ms	30×	4096	valid
11.0ms	26×	1024	valid
3.0ms	12×	512	valid

Compiler

Compiled 173 to 52 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 85.0ms

ival-mult: 53.0ms (62.2% of total)

ival-sqrt: 20.0ms (23.5% of total)

ival-add: 9.0ms (10.6% of total)

const: 3.0ms (3.5% 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
▶	37.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
▶	78.7%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))

Status

Accuracy

Program

▶

37.1%

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

▶

78.7%

(*.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)

localize247.0ms (3.2%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
✓	91.1%	(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))
✓	87.9%	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)
✓	49.4%	(sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))
✓	100.0%	(*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))
✓	91.1%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
✓	87.9%	(+.f64 re (hypot.f64 re im))

Results

86.0ms	197×	256	valid
29.0ms	25×	2048	valid
79.0ms	15×	4096	valid
9.0ms	13×	1024	valid
3.0ms	6×	512	valid

Compiler

Compiled 115 to 34 computations (70.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 189.0ms

ival-mult: 100.0ms (52.9% of total)

composed: 36.0ms (19.1% of total)

ival-add: 26.0ms (13.8% of total)

ival-sqrt: 24.0ms (12.7% of total)

const: 3.0ms (1.6% of total)

series103.0ms (1.3%)

Counts

8 → 192

Calls

Call 1

Inputs
#<alt (+.f64 re (hypot.f64 re im))>
#<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 re (hypot.f64 re im)))))>
#<alt (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))>
#<alt (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im)))>
#<alt (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)>
#<alt (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im 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 (*.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))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/16 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/8 binary64) (.f64 (sqrt.f64 im) (.f64 (pow.f64 re #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64))))))) (pow.f64 im #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 re (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) im)>
#<alt (+.f64 (.f64 #s(literal 2 binary64) 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)))))>
#<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 (*.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)))>
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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 (sqrt.f64 im) (sqrt.f64 #s(literal 2 binary64)))>
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#<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

48 calls:

Time	Variable		Point	Expression
52.0ms	re	@	-inf	(* 1/2 (sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im)))))))
2.0ms	re	@	-inf	(sqrt (* 2 (+ re (sqrt (+ (* re re) (* im im))))))
2.0ms	im	@	inf	(* 1/2 (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))))))

rewrite353.0ms (4.5%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	225
1	338	225
2	3744	225

Stop Event

1×	node limit

Counts

8 → 298

Calls

Call 1

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

simplify244.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-define`
747×	`associate-r`
657×	`associate-l`
403×	`distribute-rgt-in`
397×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	872	29516
1	2617	27525

Stop Event

1×	node limit

Counts

490 → 452

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

eval445.0ms (5.7%)

Compiler: Compiled 22347 to 14356 computations (35.8% saved)

prune191.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	935	7	942
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	937	7	944

Accuracy

88.9%

Counts

944 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.1%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
	13.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (*.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) re))))
▶	15.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 im im) re))))
▶	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
▶	53.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
	50.3%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
▶	78.7%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))

Compiler

Compiled 172 to 124 computations (27.9% saved)

localize138.0ms (1.8%)

Results

92.0ms

256×

256

invalid

Compiler

Compiled 116 to 54 computations (53.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 24.0ms (35.2% of total)

ival-sqrt: 17.0ms (24.9% of total)

composed: 9.0ms (13.2% of total)

ival-add: 9.0ms (13.2% of total)

ival-sub: 4.0ms (5.9% of total)

const: 3.0ms (4.4% of total)

ival-div: 2.0ms (2.9% of total)

eval0.0ms (0%)

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

prune3.0ms (0%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	0	0
Total	7	7

Accuracy

88.9%

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.1%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
▶	13.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (*.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) re))))
✓	15.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 im im) re))))
✓	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	53.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
▶	50.3%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
✓	78.7%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))

Compiler

Compiled 86 to 62 computations (27.9% saved)

localize316.0ms (4.1%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	95.5%	(/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) re))
✓	88.8%	(+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64)))
✓	88.8%	(/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re))
✓	84.6%	(sqrt.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) re)))
✓	100.0%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
✓	100.0%	(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))
	87.9%	(+.f64 re (hypot.f64 re im))
✓	76.4%	(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))

Results

72.0ms	128×	256	invalid
41.0ms	69×	256	valid
57.0ms	25×	2048	valid
61.0ms	15×	4096	valid
20.0ms	13×	1024	valid
8.0ms	6×	512	valid

Compiler

Compiled 183 to 62 computations (66.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-pow: 84.0ms (39.9% of total)

ival-mult: 48.0ms (22.8% of total)

ival-add: 21.0ms (10% of total)

composed: 14.0ms (6.7% of total)

ival-div: 13.0ms (6.2% of total)

ival-sqrt: 10.0ms (4.8% of total)

ival-sub: 8.0ms (3.8% of total)

ival-cbrt: 8.0ms (3.8% of total)

const: 5.0ms (2.4% of total)

series62.0ms (0.8%)

Counts

7 → 168

Calls

Call 1

Inputs
#<alt (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))>
#<alt (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))>
#<alt (sqrt.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) re)))>
#<alt (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re))>
#<alt (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64)))>
#<alt (/.f64 (+.f64 (.f64 im im) (.f64 (/.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 re re)) #s(literal -1/4 binary64))) (-.f64 #s(literal 0 binary64) 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))))))>
#<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)) (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))))))>
#<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)) (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))))))>
#<alt (.f64 (sqrt.f64 re) (.f64 (sqrt.f64 #s(literal 2 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))>
#<alt (+.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))))))>
#<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 -1/8 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))))))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 im (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 im #s(literal 3 binary64)))) (.f64 (.f64 re (sqrt.f64 #s(literal -1 binary64))) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64)))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) im)) (.f64 (sqrt.f64 #s(literal -1 binary64)) (cbrt.f64 (sqrt.f64 #s(literal 8 binary64))))))))>
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#<alt (.f64 #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)))))))))>
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#<alt (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))>
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#<alt (.f64 #s(literal -1 binary64) (.f64 (*.f64 (pow.f64 im #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64))))))>
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#<alt (*.f64 #s(literal 8 binary64) (sqrt.f64 (pow.f64 re #s(literal 3 binary64))))>
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#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (.f64 (pow.f64 im #s(literal 4 binary64)) (-.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 re #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 im #s(literal 2 binary64)) re))))>
#<alt (*.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 3 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 im #s(literal 2 binary64)) (pow.f64 re #s(literal 2 binary64)))) (*.f64 #s(literal 1/4 binary64) (pow.f64 im #s(literal 4 binary64)))) (pow.f64 re #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 im #s(literal 2 binary64)) re))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 im #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 (pow.f64 im #s(literal 4 binary64)) (pow.f64 re #s(literal 2 binary64))))) re)>
#<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)))) (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))>

Calls

42 calls:

Time	Variable		Point	Expression
7.0ms	re	@	inf	(sqrt (/ (+ (* im im) (* (/ (* (* im im) (* im im)) (* re re)) -1/4)) (- 0 re)))
5.0ms	re	@	inf	(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)
3.0ms	im	@	0	(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)
3.0ms	im	@	0	(sqrt (/ (+ (* im im) (* (/ (* (* im im) (* im im)) (* re re)) -1/4)) (- 0 re)))
2.0ms	re	@	-inf	(pow (* 2 (+ re (sqrt (+ (* re re) (* im im))))) 3/2)

rewrite215.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1101×	`log1p-expm1-u`
189×	`expm1-log1p-u`
186×	`add-exp-log`
186×	`add-cube-cbrt`
184×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	330
1	417	273
2	6427	273

Stop Event

1×	node limit

Counts

7 → 289

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))) (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 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 1/3 binary64)))
(*.f64 (cbrt.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64))) (cbrt.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.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))))))
(pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 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 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(fabs.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(log.f64 (exp.f64 (pow.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 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))))
(exp.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1/3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/3 binary64) (.f64 #s(literal 3/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (+.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 3/2 binary64)))) #s(literal 1 binary64))
(.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 1/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)))
(.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) #s(literal 2 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)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(.f64 (.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))))) (cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))))
(.f64 (.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 1/6 binary64))) (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(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 3/2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (+.f64 re (hypot.f64 re im)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 3/4 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/4 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 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 3/2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64))))
(exp.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))))
(exp.f64 (.f64 (.f64 #s(literal 3/2 binary64) (log.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 1/2 binary64) (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (cbrt.f64 (.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))))
(.f64 (cbrt.f64 (.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/4 binary64))) (cbrt.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im)))) (.f64 (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) (.f64 (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (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 1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64))) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 3/2 binary64)) #s(literal 1/6 binary64)))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #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 (exp.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))))
(cbrt.f64 (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (+.f64 re (hypot.f64 re im))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64)))
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(.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) (*.f64 re re)) re)
(/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)
(/.f64 #s(literal 1 binary64) (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))) re)
(/.f64 (+.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re))) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re)))) #s(literal -1/64 binary64))) (.f64 re (+.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (*.f64 im im))))))
(/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re))) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re)))) #s(literal -1/64 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (.f64 im im)))) re))
(/.f64 (.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))))) re)
(/.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) (sqrt.f64 re)) (sqrt.f64 re))
(/.f64 (.f64 (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64)) (pow.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64))) (sqrt.f64 re))
(/.f64 (.f64 (+.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (.f64 im im))) (.f64 (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re))) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) (.f64 im (/.f64 im re)))) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)) (*.f64 im im)))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (/.f64 #s(literal 1 binary64) re)) (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))))
(/.f64 (.f64 (pow.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64))) (sqrt.f64 re))
(/.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) #s(literal 1 binary64)) re)
(/.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) (cbrt.f64 (.f64 re re))) (cbrt.f64 re))
(pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)) #s(literal 3 binary64))
(pow.f64 (/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (.f64 re re)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) (/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (.f64 re re))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re))
(sqrt.f64 (/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (.f64 re re)))
(log.f64 (exp.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re))))
(cbrt.f64 (.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re) (/.f64 (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64))) (.f64 re re))))
(cbrt.f64 (/.f64 (.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) (-.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 (.f64 (/.f64 im re) (/.f64 im re)) (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal 1/16 binary64)))) (.f64 re (*.f64 re re))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)))
(exp.f64 (log.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (*.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)))
(exp.f64 (.f64 (log.f64 (/.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64))) re)) #s(literal 1 binary64)))

simplify330.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

497×	`associate-*r/`
472×	`*-commutative`
391×	`distribute-rgt-in`
387×	`distribute-lft-in`
352×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1221	35451
1	3732	32110

Stop Event

1×	node limit

Counts

457 → 549

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

eval628.0ms (8.1%)

Compiler: Compiled 37991 to 20472 computations (46.1% saved)

prune168.0ms (2.2%)

Pruning

12 alts after pruning (7 fresh and 5 done)

	Pruned	Kept	Total
New	1101	7	1108
Fresh	0	0	0
Picked	2	0	2
Done	0	5	5
Total	1103	12	1115

Accuracy

91.3%

Counts

1115 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.1%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
	14.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) re))))
	11.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (cbrt.f64 (.f64 (.f64 im (+.f64 im (.f64 (.f64 im (.f64 (/.f64 im re) (/.f64 im re))) #s(literal -1/4 binary64)))) (+.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (/.f64 im re) (/.f64 (/.f64 im re) re)) (/.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (*.f64 im im))) re)))))) (-.f64 #s(literal 0 binary64) re))))
▶	14.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))))))
✓	15.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 im im) re))))
▶	17.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im))))
▶	9.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal -1 binary64) (.f64 re (.f64 im im)))) (.f64 (.f64 im im) (*.f64 im im)))))
▶	15.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 im im) (+.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 im re) (/.f64 (/.f64 im re) re))) (/.f64 #s(literal -1 binary64) re)))))
✓	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	53.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
▶	34.9%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64))))
✓	78.7%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))

Compiler

Compiled 426 to 260 computations (39% saved)

localize382.0ms (4.9%)

Results

251.0ms

256×

256

invalid

Compiler

Compiled 475 to 155 computations (67.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 187.0ms

ival-mult: 73.0ms (39.1% of total)

ival-div: 46.0ms (24.7% of total)

ival-pow: 19.0ms (10.2% of total)

ival-add: 18.0ms (9.6% of total)

ival-sqrt: 15.0ms (8% of total)

const: 8.0ms (4.3% of total)

ival-sub: 5.0ms (2.7% of total)

ival-cbrt: 4.0ms (2.1% of total)

eval0.0ms (0%)

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

prune11.0ms (0.1%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	5	5
Done	5	5
Total	12	12

Accuracy

91.3%

Counts

12 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	28.1%	(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
	14.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) re))))
	11.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (cbrt.f64 (.f64 (.f64 im (+.f64 im (.f64 (.f64 im (.f64 (/.f64 im re) (/.f64 im re))) #s(literal -1/4 binary64)))) (+.f64 (.f64 (.f64 im im) (.f64 im im)) (.f64 #s(literal -1/16 binary64) (.f64 (.f64 (/.f64 im re) (/.f64 (/.f64 im re) re)) (/.f64 (.f64 (.f64 im im) (.f64 (.f64 im im) (*.f64 im im))) re)))))) (-.f64 #s(literal 0 binary64) re))))
✓	14.3%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 re (+.f64 (.f64 im im) (.f64 (.f64 im (.f64 im (.f64 (/.f64 im re) (/.f64 im re)))) #s(literal -1/4 binary64)))))))
✓	15.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 #s(literal 0 binary64) (/.f64 (.f64 im im) re))))
✓	17.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im))))
✓	9.1%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (.f64 re (.f64 re re))) (/.f64 #s(literal -1 binary64) (.f64 re (.f64 im im)))) (.f64 (.f64 im im) (*.f64 im im)))))
✓	15.2%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (.f64 im im) (+.f64 (.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 im re) (/.f64 (/.f64 im re) re))) (/.f64 #s(literal -1 binary64) re)))))
✓	51.5%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64))))
✓	53.8%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re))))
✓	34.9%	(.f64 #s(literal 1/2 binary64) (cbrt.f64 (pow.f64 (.f64 #s(literal 2 binary64) (+.f64 im re)) #s(literal 3/2 binary64))))
✓	78.7%	(sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re))))

Compiler

Compiled 511 to 288 computations (43.6% saved)

regimes50.0ms (0.6%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

7 calls:

13.0ms	re
7.0ms	(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))
7.0ms	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re))))
6.0ms	(*.f64 im im)
5.0ms	(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)

Results

Accuracy	Segments	Branch
86.0%	2	`re`
78.7%	1	`im`
83.8%	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))))`
83.8%	2	`(sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re)))`
83.1%	2	`(.f64 #s(literal 2 binary64) (+.f64 (sqrt.f64 (+.f64 (.f64 re re) (*.f64 im im))) re))`
83.1%	2	`(+.f64 (sqrt.f64 (+.f64 (.f64 re re) (.f64 im im))) re)`
78.7%	1	`(*.f64 im im)`

Compiler

Compiled 69 to 45 computations (34.8% saved)

regimes27.0ms (0.3%)

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

11.0ms	re
10.0ms	im
5.0ms	(*.f64 im im)

Results

Accuracy	Segments	Branch
64.7%	4	`im`
64.7%	4	`(*.f64 im im)`
73.9%	3	`re`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0.1%)

Counts

3 → 2

Calls

Call 1

Inputs

(*.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))))

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

Calls

1 calls:

4.0ms

re

Results

Accuracy	Segments	Branch
64.2%	2	`re`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

0.0ms	re
0.0ms	im

Results

Accuracy	Segments	Branch
28.1%	1	`im`
28.1%	1	`re`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch27.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
24.0ms	-3.953675587513176e+53	-9.007225870880121e+52

Results

4.0ms	36×	0	valid
8.0ms	32×	1	valid
9.0ms	28×	2	valid

Compiler

Compiled 166 to 124 computations (25.3% saved)

Precisions

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

ival-mult: 5.0ms (40.9% of total)

ival-sqrt: 3.0ms (24.5% of total)

ival-add: 2.0ms (16.3% of total)

backward-pass: 2.0ms (16.3% of total)

const: 0.0ms (0% of total)

bsearch53.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8564262060856276e-17	1.1982676264905204e-12
29.0ms	-3.953675587513176e+53	-9.007225870880121e+52

Results

19.0ms	159×	0	valid
7.0ms	33×	1	valid
15.0ms	32×	2	valid

Compiler

Compiled 310 to 250 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 13.0ms (52.2% of total)

ival-sqrt: 5.0ms (20.1% of total)

ival-add: 4.0ms (16.1% of total)

backward-pass: 2.0ms (8% of total)

const: 1.0ms (4% of total)

bsearch22.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	1.8564262060856276e-17	1.1982676264905204e-12

Results

16.0ms

128×

valid

Compiler

Compiled 150 to 128 computations (14.7% saved)

Precisions

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

ival-mult: 4.0ms (42.3% of total)

ival-sqrt: 4.0ms (42.3% of total)

ival-add: 1.0ms (10.6% of total)

const: 0.0ms (0% of total)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	225
1	63	225
2	70	225
3	78	225
4	85	225
5	90	225
6	93	225
7	94	225

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 re #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
(if (<=.f64 re #s(literal -189999999999999998711980248128709315527724603969372160 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im)))) (if (<=.f64 re #s(literal 2028240960365167/633825300114114700748351602688 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal 2535301200456459/1267650600228229401496703205376 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))

Outputs
(if (<=.f64 re #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im)))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
(if (<=.f64 re #s(literal -129999999999999999118723327667011636940022097452728320 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (neg.f64 (/.f64 im re))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 re (hypot.f64 im re)))))
(if (<=.f64 re #s(literal -189999999999999998711980248128709315527724603969372160 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (/.f64 im re) (-.f64 #s(literal 0 binary64) im)))) (if (<=.f64 re #s(literal 2028240960365167/633825300114114700748351602688 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 im re)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 re))))
(if (<=.f64 re #s(literal -189999999999999998711980248128709315527724603969372160 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im (neg.f64 (/.f64 im re))))) (if (<=.f64 re #s(literal 2028240960365167/633825300114114700748351602688 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 #s(literal 2 binary64) (+.f64 re im)))) (sqrt.f64 re)))
(if (<=.f64 re #s(literal 2535301200456459/1267650600228229401496703205376 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 2535301200456459/1267650600228229401496703205376 binary64)) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 im #s(literal 2 binary64)))) (sqrt.f64 re))
(*.f64 #s(literal 1 binary64) (sqrt.f64 re))
(sqrt.f64 re)

soundness723.0ms (9.3%)

Rules

806×	`fma-define`
764×	`log1p-expm1-u`
764×	`expm1-log1p-u`
747×	`associate-r`
721×	`fma-define`

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
0	1221	35451
1	3732	32110
0	23	225
1	338	225
2	3744	225
0	872	29516
1	2617	27525

Stop Event

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

Compiler

Compiled 950 to 523 computations (44.9% saved)

preprocess85.0ms (1.1%)

Remove: (abs im)
Compiler: Compiled 336 to 212 computations (36.9% saved)

math.sqrt on complex, real part

analyze134.0ms (1.7%)

sample2.1s (26.5%)

preprocess96.0ms (1.2%)

explain644.0ms (8.3%)

eval0.0ms (0%)

prune1.0ms (0%)

localize247.0ms (3.2%)

series103.0ms (1.3%)

rewrite353.0ms (4.5%)

simplify244.0ms (3.1%)

eval445.0ms (5.7%)

prune191.0ms (2.5%)

localize138.0ms (1.8%)

eval0.0ms (0%)

prune3.0ms (0%)

localize316.0ms (4.1%)

series62.0ms (0.8%)

rewrite215.0ms (2.8%)

simplify330.0ms (4.2%)

eval628.0ms (8.1%)

prune168.0ms (2.2%)

localize382.0ms (4.9%)

eval0.0ms (0%)

prune11.0ms (0.1%)

regimes50.0ms (0.6%)

regimes27.0ms (0.3%)

regimes4.0ms (0.1%)

regimes1.0ms (0%)

bsearch27.0ms (0.4%)

bsearch53.0ms (0.7%)

bsearch22.0ms (0.3%)

simplify5.0ms (0.1%)

soundness723.0ms (9.3%)

preprocess85.0ms (1.1%)

end0.0ms (0%)

Profiling