Metrics for Diagrams.TwoD.Apollonian:initialConfig from diagrams-contrib-1.3.0.5, A

analyze62.0ms (0.6%)

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%	49.9%	49.9%	0.1%	0%	0%	0%	3
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
75%	74.9%	25%	0.1%	0%	0%	0%	6
75%	74.9%	25%	0.1%	0%	0%	0%	7
75%	74.9%	25%	0.1%	0%	0%	0%	8
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	9
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	10
87.5%	87.4%	12.5%	0.1%	0%	0%	0%	11
93.8%	93.6%	6.2%	0.1%	0%	0%	0%	12

Compiler

Compiled 19 to 12 computations (36.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 20.0ms (62.9% of total)

ival-sub: 6.0ms (18.9% of total)

ival-add: 3.0ms (9.4% of total)

ival-div: 2.0ms (6.3% of total)

const: 1.0ms (3.1% of total)

sample1.7s (16.3%)

Results

808.0ms	4819×	0	valid
393.0ms	3437×	0	infinite

Precisions

Click to see histograms. Total time spent on operations: 587.0ms

ival-mult: 371.0ms (63.2% of total)

ival-div: 77.0ms (13.1% of total)

ival-sub: 69.0ms (11.8% of total)

ival-add: 54.0ms (9.2% of total)

const: 13.0ms (2.2% of total)

backward-pass: 4.0ms (0.7% of total)

Bogosity

preprocess111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

684×	`div-sub`
578×	`sub-neg`
550×	`fma-neg`
426×	`associate-/l*`
374×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	47	672
1	164	660
2	533	660
3	2454	660
4	7758	660

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 z z) (.f64 y y)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 z z)) (.f64 y y)) (.f64 z #s(literal 2 binary64)))

Outputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 (neg.f64 y) (neg.f64 y))) (.f64 z z)) (.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal 2 binary64)))
(neg.f64 (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 (neg.f64 z) (neg.f64 z))) (.f64 y #s(literal 2 binary64))))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 y #s(literal -2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 y y) (.f64 x x)) (.f64 z z)) (.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (fma.f64 x x (.f64 y y)) (.f64 z z)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 z z) (.f64 y y)) (.f64 x x)) (.f64 y #s(literal 2 binary64)))
(/.f64 (fma.f64 (+.f64 x y) (-.f64 y x) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 z z)) (.f64 y y)) (.f64 z #s(literal 2 binary64)))
(/.f64 (fma.f64 x x (-.f64 (.f64 z z) (.f64 y y))) (*.f64 z #s(literal 2 binary64)))

Symmetry

(abs x)

(abs z)

(negabs y)

explain206.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
49	-	1	(1.0063720078816564e-197 2.902276819704288e-161 1.5052289661002707e-251)	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
34	-	0	-	`(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(*.f64 z z)`
0	-	0	-	`y`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`(*.f64 y #s(literal 2 binary64))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`z`

Results

49.0ms	292×	256	valid
33.0ms	220×	256	infinite

Compiler

Compiled 124 to 41 computations (66.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 22.0ms (60.7% of total)

ival-div: 7.0ms (19.3% of total)

ival-sub: 3.0ms (8.3% of total)

ival-add: 3.0ms (8.3% of total)

const: 1.0ms (2.8% of total)

eval0.0ms (0%)

Compiler: Compiled 17 to 10 computations (41.2% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Compiler

Compiled 18 to 11 computations (38.9% saved)

localize49.0ms (0.5%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	87.8%	(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
✓	82.2%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))

Results

20.0ms	146×	256	valid
16.0ms	110×	256	infinite

Compiler

Compiled 53 to 15 computations (71.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-mult: 11.0ms (66.1% of total)

ival-div: 2.0ms (12% of total)

ival-sub: 1.0ms (6% of total)

ival-add: 1.0ms (6% of total)

const: 1.0ms (6% of total)

series33.0ms (0.3%)

Counts

3 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))>
#<alt (+.f64 (.f64 x x) (.f64 y y))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))>

Calls

24 calls:

Time	Variable		Point	Expression
20.0ms	y	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	0	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	x	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	-inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))
1.0ms	y	@	inf	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2))

rewrite276.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

908×	`log1p-expm1-u`
908×	`expm1-log1p-u`
528×	`fma-define`
272×	`fma-neg`
206×	`log1p-undefine`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	117
1	243	102
2	3706	102

Stop Event

1×	node limit

Counts

3 → 260

Calls

Call 1

Inputs
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(-.f64 (+.f64 (.f64 x x) (.f64 y y)) (*.f64 z z))
(+.f64 (.f64 x x) (.f64 y y))

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

simplify278.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-neg`
397×	`div-sub`
266×	`cube-prod`
257×	`associate-l`
241×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	577	19994
1	1397	18541
2	5037	18447

Stop Event

1×	node limit

Counts

356 → 332

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) y)
(*.f64 #s(literal 1/2 binary64) y)
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) y)
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) (pow.f64 z #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 x #s(literal 2 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(-.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (pow.f64 z #s(literal 2 binary64)))
(pow.f64 y #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 x y) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(fma.f64 x x (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 y y (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (*.f64 (cbrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 y #s(literal 4 binary64))) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) (pow.f64 y #s(literal 2 binary64)))
(fma.f64 (*.f64 y (sqrt.f64 y)) (sqrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 y (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 y) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 (*.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (pow.f64 y #s(literal 2 binary64)))

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

eval505.0ms (4.9%)

Compiler: Compiled 7310 to 4830 computations (33.9% saved)

prune68.0ms (0.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	321	11	332
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	321	12	333

Accuracy

98.1%

Counts

333 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.7%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
▶	89.5%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
	73.4%	(/.f64 (fma.f64 (.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (.f64 y #s(literal 2 binary64)))
▶	32.3%	(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
✓	72.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	72.4%	(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
	71.9%	(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))))
	35.8%	(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
▶	59.5%	(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
	63.9%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
▶	31.9%	(*.f64 #s(literal 1/2 binary64) y)
	52.9%	(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))

Compiler

Compiled 404 to 293 computations (27.5% saved)

localize402.0ms (3.9%)

Localize:

Found 8 expressions with local error:

New	Accuracy	Program
✓	94.2%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
✓	87.6%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
✓	92.8%	(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	92.0%	(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
✓	89.1%	(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
✓	99.5%	(/.f64 (hypot.f64 x y) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
✓	94.7%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
✓	87.6%	(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))

Results

128.0ms	146×	256	valid
93.0ms	110×	256	infinite

Compiler

Compiled 184 to 112 computations (39.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 177.0ms

ival-pow: 49.0ms (27.6% of total)

ival-mult: 47.0ms (26.5% of total)

ival-div: 30.0ms (16.9% of total)

composed: 22.0ms (12.4% of total)

ival-sqrt: 12.0ms (6.8% of total)

const: 6.0ms (3.4% of total)

ival-neg: 6.0ms (3.4% of total)

ival-add: 4.0ms (2.3% of total)

ival-sub: 3.0ms (1.7% of total)

series51.0ms (0.5%)

Counts

8 → 225

Calls

Call 1

Inputs
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))>
#<alt (/.f64 (hypot.f64 x y) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))>
#<alt (*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))>

Outputs
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 y) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 11 binary64)))))))))))>
#<alt (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 7 binary64))))) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64)))))))>
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#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (-.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>

Calls

57 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2)))
3.0ms	y	@	-inf	(/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2)))
3.0ms	x	@	inf	(+ (* (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2)))) (neg (* (pow z 2) (/ 1/2 y))))
2.0ms	y	@	inf	(* (pow z 2) (/ 1/2 y))
2.0ms	x	@	0	(+ (* (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2))) (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2)))) (neg (* (pow z 2) (/ 1/2 y))))

rewrite191.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1156×	`log1p-expm1-u`
189×	`expm1-log1p-u`
185×	`add-exp-log`
185×	`add-log-exp`
185×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	370
1	423	300
2	6086	300

Stop Event

1×	node limit

Counts

8 → 408

Calls

Call 1

Inputs
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 (hypot.f64 x y) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
(*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))
(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))

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

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

681×	`associate-r`
421×	`fma-define`
405×	`times-frac`
345×	`associate-*r/`
344×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	927	31531
1	2398	27744

Stop Event

1×	node limit

Counts

633 → 451

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(-.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
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(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (-.f64 (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64)))) (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) (.f64 (pow.f64 z #s(literal 4 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 2 binary64))))) (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(pow.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (hypot.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))))
(cbrt.f64 (pow.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))
(log1p.f64 (expm1.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (log.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))))
(exp.f64 (.f64 (log.f64 (+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 1 binary64)))
(fma.f64 (hypot.f64 x y) (.f64 #s(literal 1/2 binary64) (/.f64 (hypot.f64 x y) y)) (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))
(fma.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)))

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

eval483.0ms (4.7%)

Compiler: Compiled 17129 to 11752 computations (31.4% saved)

prune123.0ms (1.2%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	625	13	638
Fresh	5	1	6
Picked	4	1	5
Done	0	1	1
Total	634	16	650

Accuracy

100.0%

Counts

650 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))))
	93.6%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
▶	94.4%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
	89.6%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
	62.6%	(pow.f64 (hypot.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
▶	59.5%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
✓	72.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	31.3%	(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
	32.3%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64))))
▶	59.5%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
	33.8%	(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
	66.6%	(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
▶	33.7%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	63.9%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
✓	31.9%	(*.f64 #s(literal 1/2 binary64) y)
	45.7%	(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))

Compiler

Compiled 502 to 356 computations (29.1% saved)

localize336.0ms (3.3%)

Localize:

Found 15 expressions with local error:

New	Accuracy	Program
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓	97.3%	(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y))
✓	94.5%	(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
	92.8%	(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	100.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
✓	99.2%	(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
	92.8%	(-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))
✓	92.3%	(/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
✓	87.6%	(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
✓	99.8%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
✓	99.6%	(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
✓	99.7%	(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)
✓	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
	99.5%	(/.f64 (hypot.f64 x y) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
✓	94.7%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))

Results

139.0ms	146×	256	valid
112.0ms	110×	256	infinite

Compiler

Compiled 229 to 144 computations (37.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 204.0ms

ival-pow: 70.0ms (34.4% of total)

ival-mult: 46.0ms (22.6% of total)

ival-div: 38.0ms (18.7% of total)

ival-sub: 14.0ms (6.9% of total)

composed: 12.0ms (5.9% of total)

ival-sqrt: 11.0ms (5.4% of total)

const: 7.0ms (3.4% of total)

ival-add: 3.0ms (1.5% of total)

ival-neg: 2.0ms (1% of total)

series71.0ms (0.7%)

Counts

12 → 324

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))>
#<alt (*.f64 (/.f64 #s(literal 1/2 binary64) y) z)>
#<alt (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)>
#<alt (*.f64 x (/.f64 #s(literal 1/2 binary64) y))>
#<alt (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))>
#<alt (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y))>
#<alt (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))>

Outputs
#<alt (-.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))>
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#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 z #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) y))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64)))) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (pow.f64 z #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 z #s(literal 2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>

Calls

87 calls:

Time	Variable		Point	Expression
6.0ms	z	@	-inf	(/ y (* 1/2 (- (pow x 2) (pow z 2))))
5.0ms	y	@	0	(* x (/ 1/2 y))
1.0ms	z	@	inf	(/ y (* 1/2 (- (pow x 2) (pow z 2))))
1.0ms	y	@	-inf	(/ (/ (* 1/2 (- (pow x 2) (pow z 2))) (sqrt y)) (sqrt y))
1.0ms	y	@	-inf	(/ (* 1/2 (- (pow x 2) (pow z 2))) (sqrt y))

rewrite232.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

442×	`log1p-expm1-u`
247×	`associate-r`
245×	`expm1-log1p-u`
242×	`pow1`
241×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	444
1	562	397
2	7916	397

Stop Event

1×	node limit

Counts

12 → 658

Calls

Call 1

Inputs
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
(.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)
(*.f64 x (/.f64 #s(literal 1/2 binary64) y))
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 (pow.f64 z #s(literal 2 binary64)) y)
(/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y))
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))

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

simplify247.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

639×	`times-frac`
512×	`associate-*r/`
409×	`associate-*l/`
339×	`*-commutative`
322×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1209	43602
1	2870	41541

Stop Event

1×	node limit

Counts

982 → 691

Calls

Call 1

Inputs
(-.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(-.f64 (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 (-.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal -2 binary64)) #s(literal 2 binary64))))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))
(+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (+.f64 (/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 z y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))
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(.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64)) (.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(/.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64)))) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 z #s(literal 6 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (.f64 x z) #s(literal 2 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 z #s(literal 4 binary64))) #s(literal 1/2 binary64)) (+.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))) #s(literal 1 binary64)))

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

eval819.0ms (8%)

Compiler: Compiled 28038 to 19301 computations (31.2% saved)

prune307.0ms (3%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1155	9	1164
Fresh	6	3	9
Picked	4	1	5
Done	0	2	2
Total	1165	15	1180

Accuracy

100.0%

Counts

1180 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
	90.2%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z)))))
▶	94.5%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
	62.6%	(pow.f64 (hypot.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 2 binary64))
✓	72.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	32.3%	(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
	66.6%	(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z)))))
	33.5%	(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
▶	33.8%	(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
▶	66.6%	(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
✓	33.7%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
▶	68.0%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
▶	68.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
	68.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
✓	31.9%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 460 to 313 computations (32% saved)

localize274.0ms (2.7%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	99.6%	(/.f64 z (sqrt.f64 y))
✓	99.6%	(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
✓	92.0%	(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
✓	99.7%	(*.f64 z (/.f64 z y))
✓	99.8%	(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
	99.7%	(*.f64 (/.f64 #s(literal 1/2 binary64) y) z)
✓	99.6%	(*.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
	99.5%	(/.f64 (hypot.f64 x y) (sqrt.f64 (*.f64 y #s(literal 2 binary64))))
✓	94.7%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))

Results

95.0ms	146×	256	valid
107.0ms	110×	256	infinite

Compiler

Compiled 195 to 87 computations (55.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 165.0ms

ival-div: 72.0ms (43.5% of total)

ival-mult: 42.0ms (25.4% of total)

ival-sqrt: 16.0ms (9.7% of total)

composed: 12.0ms (7.3% of total)

ival-pow: 8.0ms (4.8% of total)

ival-sub: 5.0ms (3% of total)

ival-add: 4.0ms (2.4% of total)

const: 4.0ms (2.4% of total)

ival-neg: 2.0ms (1.2% of total)

series36.0ms (0.4%)

Counts

7 → 192

Calls

Call 1

Inputs
#<alt (fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))>
#<alt (*.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))>
#<alt (*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 z (/.f64 z y))>
#<alt (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))>
#<alt (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))>
#<alt (/.f64 z (sqrt.f64 y))>

Outputs
#<alt (-.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (-.f64 (+.f64 (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))>
#<alt (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (.f64 y (sqrt.f64 #s(literal 2 binary64)))) (/.f64 (.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))>
#<alt (/.f64 (-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (*.f64 #s(literal 1/2 binary64) (pow.f64 z #s(literal 2 binary64)))) y)>
#<alt (/.f64 (*.f64 y (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 #s(literal 2 binary64)))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -2 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (/.f64 (sqrt.f64 #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -2 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal -1/2 binary64))) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 #s(literal -2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))))>
#<alt (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (sqrt.f64 #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y)) (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (*.f64 y (sqrt.f64 #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) y))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (/.f64 (.f64 (sqrt.f64 #s(literal 1/2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (.f64 y (.f64 (pow.f64 z #s(literal 2 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (*.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64)))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))))>
#<alt (+.f64 (.f64 (sqrt.f64 y) (sqrt.f64 #s(literal 1/2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 #s(literal 1/2 binary64)))))))>
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#<alt (.f64 (pow.f64 z #s(literal 2 binary64)) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 y z))) (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)))) z)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (+.f64 x z) (-.f64 x z)) y))>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (/.f64 (pow.f64 z #s(literal 2 binary64)) y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 z #s(literal 2 binary64)) (.f64 y (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 2 binary64)))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) z)>

Calls

48 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(* (sqrt (+ (* x x) (* y y))) (sqrt (/ 1/2 y)))
1.0ms	y	@	-inf	(+ (* (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2))) (* (sqrt (+ (* x x) (* y y))) (sqrt (/ 1/2 y)))) (neg (* (* (/ 1/2 y) z) z)))
1.0ms	x	@	0	(+ (* (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2))) (* (sqrt (+ (* x x) (* y y))) (sqrt (/ 1/2 y)))) (neg (* (* (/ 1/2 y) z) z)))
1.0ms	y	@	-inf	(* (sqrt (+ (* x x) (* y y))) (sqrt (/ 1/2 y)))
1.0ms	y	@	inf	(+ (* (/ (sqrt (+ (* x x) (* y y))) (sqrt (* y 2))) (* (sqrt (+ (* x x) (* y y))) (sqrt (/ 1/2 y)))) (neg (* (* (/ 1/2 y) z) z)))

rewrite94.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

286×	`associate-r`
263×	`log1p-expm1-u`
263×	`expm1-log1p-u`
262×	`add-exp-log`
262×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	269
1	599	216

Stop Event

1×	node limit

Counts

7 → 363

Calls

Call 1

Inputs
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
(*.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(*.f64 z (/.f64 z y))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))
(/.f64 z (sqrt.f64 y))

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

simplify263.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

479×	`times-frac`
388×	`fma-define`
365×	`associate-*r/`
316×	`associate-/r*`
313×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	953	22284
1	2500	20897

Stop Event

1×	node limit

Counts

555 → 447

Calls

Call 1

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

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

eval473.0ms (4.6%)

Compiler: Compiled 15059 to 9840 computations (34.7% saved)

prune135.0ms (1.3%)

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	595	6	601
Fresh	4	3	7
Picked	3	2	5
Done	0	3	3
Total	602	14	616

Accuracy

100.0%

Counts

616 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	93.6%	(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
	90.2%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z)))))
✓	94.5%	(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
	33.7%	(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
✓	72.5%	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
	32.3%	(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
	33.8%	(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
	33.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
	60.0%	(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
	69.4%	(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
✓	33.7%	(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
	68.1%	(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
✓	68.0%	(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
✓	31.9%	(*.f64 #s(literal 1/2 binary64) y)

Compiler

Compiled 792 to 504 computations (36.4% saved)

regimes91.0ms (0.9%)

Counts

40 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) #s(literal 3 binary64)))
(/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64)))) (sqrt.f64 y)) (sqrt.f64 y))
(+.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y)) (pow.f64 (/.f64 (hypot.f64 y x) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64)))
(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(cbrt.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y)) #s(literal 3 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 z) (sqrt.f64 z)) (sqrt.f64 z) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (.f64 y #s(literal 2 binary64)))
(pow.f64 (hypot.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)))) #s(literal 2 binary64))
(pow.f64 (hypot.f64 (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y)) z)) #s(literal 2 binary64))
(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (pow.f64 (.f64 z (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64))))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (.f64 (hypot.f64 x y) (sqrt.f64 (/.f64 #s(literal 1/2 binary64) y))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (*.f64 (pow.f64 z #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) y))))
(fma.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (/.f64 (hypot.f64 x y) (sqrt.f64 (.f64 y #s(literal 2 binary64)))) (neg.f64 (.f64 (.f64 z (cbrt.f64 (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (/.f64 #s(literal 1/2 binary64) y) z)))))
(.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))))

Outputs

(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))

(fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (*.f64 y #s(literal 2 binary64))) (neg.f64 (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z)))

Calls

6 calls:

20.0ms	y
20.0ms	x
16.0ms	(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
14.0ms	(*.f64 x x)
11.0ms	z

Results

Accuracy	Segments	Branch
97.1%	2	`x`
97.9%	2	`y`
94.5%	1	`z`
96.9%	3	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
97.1%	2	`(*.f64 x x)`
94.5%	1	`(*.f64 z z)`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes92.0ms (0.9%)

Counts

24 → 3

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z)))))
(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))
(*.f64 (/.f64 (pow.f64 z #s(literal 2 binary64)) y) #s(literal -1/2 binary64))
(/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 y #s(literal 2 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 (pow.f64 z #s(literal 2 binary64)) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) y) (pow.f64 x #s(literal 2 binary64))))
(/.f64 y (pow.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal 2 binary64)))
(pow.f64 (/.f64 x (sqrt.f64 (*.f64 y #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (pow.f64 (/.f64 z (sqrt.f64 y)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) y))
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 y (-.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (pow.f64 z #s(literal 2 binary64))))))

Outputs

(*.f64 (-.f64 x z) (*.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))

(/.f64 (-.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)) (*.f64 y #s(literal 2 binary64)))

(*.f64 #s(literal 1/2 binary64) (-.f64 y (*.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Calls

6 calls:

26.0ms	x
24.0ms	y
14.0ms	z
12.0ms	(*.f64 x x)
8.0ms	(*.f64 z z)

Results

Accuracy	Segments	Branch
83.1%	2	`(/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64)))`
84.7%	2	`z`
84.7%	2	`(*.f64 z z)`
88.0%	3	`x`
88.0%	3	`(*.f64 x x)`
91.8%	3	`y`

Compiler

Compiled 42 to 28 computations (33.3% saved)

regimes12.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 #s(literal 1/2 binary64) (.f64 (+.f64 x z) (-.f64 x z)))))

Outputs
(.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
88.7%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes11.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))

Outputs
(.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
88.0%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes41.0ms (0.4%)

Counts

9 → 4

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))

Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x)))

Calls

3 calls:

17.0ms	z
13.0ms	x
11.0ms	y

Results

Accuracy	Segments	Branch
79.5%	8	`z`
79.7%	4	`x`
73.8%	4	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes154.0ms (1.5%)

Counts

7 → 4

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))

Outputs
(*.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z))))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))

Calls

1 calls:

154.0ms

Results

Accuracy	Segments	Branch
79.7%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes9.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

Inputs
(*.f64 #s(literal 1/2 binary64) y)
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))
(*.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64)))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(/.f64 (.f64 (.f64 x #s(literal 1/2 binary64)) x) y)
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))

Outputs
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(/.f64 x (*.f64 (/.f64 #s(literal 2 binary64) x) y))
(.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y))))
(.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y)))

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
79.7%	4	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes18.0ms (0.2%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	y
6.0ms	x
5.0ms	z

Results

Accuracy	Segments	Branch
41.3%	6	`z`
52.7%	2	`y`
48.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.6%	2	`y`

Compiler

Compiled 4 to 3 computations (25% saved)

regimes2.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	y
0.0ms	z
0.0ms	x

Results

Accuracy	Segments	Branch
31.9%	1	`z`
31.9%	1	`x`
31.9%	1	`y`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch13.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	1.809790853303277e-189	6.516399074031299e-187

Results

5.0ms	55×	0	infinite
2.0ms	25×	0	valid

Compiler

Compiled 214 to 136 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (54.6% of total)

ival-div: 1.0ms (27.3% of total)

ival-sub: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	225597470626746080.0	1271157780059859500.0
15.0ms	1.4458473269888457e-195	8.938692449629511e-195

Results

11.0ms	96×	0	infinite
10.0ms	96×	0	valid

Compiler

Compiled 432 to 286 computations (33.8% saved)

Precisions

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

ival-mult: 5.0ms (56.3% of total)

ival-sub: 1.0ms (11.3% of total)

ival-div: 1.0ms (11.3% of total)

ival-add: 1.0ms (11.3% of total)

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	225597470626746080.0	1271157780059859500.0

Results

8.0ms	62×	0	valid
3.0ms	34×	0	infinite

Compiler

Compiled 204 to 142 computations (30.4% saved)

Precisions

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

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

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

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

ival-sub: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch39.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
38.0ms	225597470626746080.0	1271157780059859500.0

Results

31.0ms	61×	0	valid
4.0ms	35×	0	infinite

Compiler

Compiled 204 to 142 computations (30.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 3.0ms (67.2% of total)

ival-sub: 1.0ms (22.4% of total)

ival-div: 1.0ms (22.4% of total)

ival-add: 1.0ms (22.4% of total)

const: 0.0ms (0% of total)

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

bsearch55.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.490795602346524e+188	2.512638088264325e+189
22.0ms	4.826936942742685e+165	2.4468305490063977e+171
16.0ms	2.9267707331251345e+132	4.5189072388838475e+133

Results

26.0ms	221×	0	infinite
12.0ms	115×	0	valid

Compiler

Compiled 540 to 385 computations (28.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 11.0ms (60.2% of total)

ival-sub: 2.0ms (10.9% of total)

ival-div: 2.0ms (10.9% of total)

ival-add: 2.0ms (10.9% of total)

const: 0.0ms (0% of total)

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

bsearch57.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
15.0ms	2.490795602346524e+188	2.512638088264325e+189
24.0ms	4.826936942742685e+165	2.4468305490063977e+171
15.0ms	2.9267707331251345e+132	4.5189072388838475e+133

Results

25.0ms	208×	0	infinite
14.0ms	128×	0	valid

Compiler

Compiled 528 to 373 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (60.8% of total)

ival-sub: 2.0ms (12.2% of total)

ival-div: 2.0ms (12.2% of total)

ival-add: 2.0ms (12.2% of total)

const: 0.0ms (0% of total)

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

bsearch55.0ms (0.5%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	2.490795602346524e+188	2.512638088264325e+189
22.0ms	4.826936942742685e+165	2.4468305490063977e+171
14.0ms	2.9267707331251345e+132	4.5189072388838475e+133

Results

24.0ms	224×	0	infinite
12.0ms	112×	0	valid

Compiler

Compiled 528 to 373 computations (29.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (61.9% of total)

ival-sub: 2.0ms (12.4% of total)

ival-div: 2.0ms (12.4% of total)

ival-add: 2.0ms (12.4% of total)

const: 0.0ms (0% of total)

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

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	218611252.34055802	337215340.60418487

Results

4.0ms	37×	0	valid
3.0ms	27×	0	infinite

Compiler

Compiled 96 to 72 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (68.6% of total)

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	218611252.34055802	337215340.60418487

Results

3.0ms	34×	0	valid
5.0ms	30×	0	infinite

Compiler

Compiled 96 to 72 computations (25% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62.8% of total)

ival-sub: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

44×	`neg-mul-1`
39×	`unsub-neg`
34×	`*-commutative`
25×	`distribute-lft-neg-in`
25×	`distribute-rgt-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	1130
1	158	1130
2	199	1130
3	233	1130
4	256	1130
5	268	1130
6	275	1130
7	334	1130
8	430	1130

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 y #s(literal 2449441655328671/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))
(if (<=.f64 y #s(literal 4997129106470955/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 y #s(literal 1250000000000000000 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 y #s(literal 570000000000000000 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 1140000000000000000 binary64)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 x #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 2399999999999999975343266902809109945432930501491256919461720979462415329314663191519302138965500041228937912708310728441613095817128059241409528532434648146323014061916160 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 270000000000000000051874614900811966698493295218779053487968708571511393361877173671325057491050026242001217537253690293139995680143202363072402165827716100953594608943262427249751697129472 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x))))))
(if (<=.f64 x #s(literal 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 439999999999999977602521692258207357230670594332268931928827752111584973409606326816186685378945705156139553107319063294253256651158743055919903148350925564914353903239168 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 279999999999999981733025417444950627650102600993756793607423171762171821703942543592690792469839496079378961798407901815280630630064110646788784889987912255244753290615741189991833452675072 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal 3800000000000000059717171000319601051478809870278115797730924709884214779405182787753695400742163434798727573791951472290867133284352 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 70000000000000003750114594646131406599802139028777035977422135431784906346198157659900989077676076803135455176293538809557668023494918679125738852844867219745637578833920 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 460000000000000022989342072896247615532851634414141168454627161011819402955703341523111681885850708626779950363751193610319198752849468780731225384998257983804842213560110794259463275544576 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 y #s(literal 320000000 binary64)) (.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 240000000 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(*.f64 #s(literal 1/2 binary64) y)

Outputs
(if (<=.f64 y #s(literal 2449441655328671/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (neg.f64 (.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) y) z) z))))
(if (<=.f64 y #s(literal 2449441655328671/4898883310657342436947850401401639604522231782621865961233415550616320366316550245614411808808882209683752589725123921141977824503727074585042721378292777435812376133285876920625254286345394996247527424 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (fma.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (.f64 y #s(literal 2 binary64))) (.f64 (*.f64 z (/.f64 #s(literal 1/2 binary64) y)) (neg.f64 z))))
(if (<=.f64 y #s(literal 4997129106470955/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 y #s(literal 1250000000000000000 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y)))))))
(if (<=.f64 y #s(literal 4997129106470955/657516987693546688405123735360016083193792475352896732437285112883591519287135102764208317034698556403372871107022277214127429031272975482890976846331485106244402958891055574773957969735540339658911656466972672 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (if (<=.f64 y #s(literal 1250000000000000000 binary64)) (/.f64 (-.f64 (+.f64 (.f64 x x) (.f64 y y)) (.f64 z z)) (.f64 y #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 z (*.f64 z (/.f64 #s(literal -1 binary64) y)))))))
(if (<=.f64 y #s(literal 570000000000000000 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 570000000000000000 binary64)) (.f64 (-.f64 x z) (.f64 (+.f64 x z) (/.f64 #s(literal 1/2 binary64) y))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 z (*.f64 z (/.f64 #s(literal -1 binary64) y))))))
(if (<=.f64 y #s(literal 1140000000000000000 binary64)) (.f64 (.f64 (+.f64 x z) (-.f64 x z)) (/.f64 #s(literal 1/2 binary64) y)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (*.f64 z (/.f64 #s(literal 1 binary64) y))))))
(if (<=.f64 y #s(literal 1140000000000000000 binary64)) (.f64 (/.f64 #s(literal 1/2 binary64) y) (.f64 (-.f64 x z) (+.f64 x z))) (.f64 #s(literal 1/2 binary64) (+.f64 y (.f64 z (*.f64 z (/.f64 #s(literal -1 binary64) y))))))
(if (<=.f64 x #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 2399999999999999975343266902809109945432930501491256919461720979462415329314663191519302138965500041228937912708310728441613095817128059241409528532434648146323014061916160 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 270000000000000000051874614900811966698493295218779053487968708571511393361877173671325057491050026242001217537253690293139995680143202363072402165827716100953594608943262427249751697129472 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 #s(literal 2 binary64) x))))))
(if (<=.f64 x #s(literal 7000000000000000408631046173262686493154743151600760044845516831209044077038718304355961795872318329558410830849797568754462119428096 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 2399999999999999975343266902809109945432930501491256919461720979462415329314663191519302138965500041228937912708310728441613095817128059241409528532434648146323014061916160 binary64)) (/.f64 x (.f64 y (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 270000000000000000051874614900811966698493295218779053487968708571511393361877173671325057491050026242001217537253690293139995680143202363072402165827716100953594608943262427249751697129472 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 y x))))))
(if (<=.f64 x #s(literal 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 439999999999999977602521692258207357230670594332268931928827752111584973409606326816186685378945705156139553107319063294253256651158743055919903148350925564914353903239168 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 279999999999999981733025417444950627650102600993756793607423171762171821703942543592690792469839496079378961798407901815280630630064110646788784889987912255244753290615741189991833452675072 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal 40000000000000000894046894379074397340393637203895038241915345715601059440969374383904814047372402380040610283350499814811674179796992 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (/.f64 z (/.f64 y z)))) (if (<=.f64 x #s(literal 439999999999999977602521692258207357230670594332268931928827752111584973409606326816186685378945705156139553107319063294253256651158743055919903148350925564914353903239168 binary64)) (/.f64 x (.f64 y (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 279999999999999981733025417444950627650102600993756793607423171762171821703942543592690792469839496079378961798407901815280630630064110646788784889987912255244753290615741189991833452675072 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal 3800000000000000059717171000319601051478809870278115797730924709884214779405182787753695400742163434798727573791951472290867133284352 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 70000000000000003750114594646131406599802139028777035977422135431784906346198157659900989077676076803135455176293538809557668023494918679125738852844867219745637578833920 binary64)) (/.f64 x (.f64 (/.f64 #s(literal 2 binary64) x) y)) (if (<=.f64 x #s(literal 460000000000000022989342072896247615532851634414141168454627161011819402955703341523111681885850708626779950363751193610319198752849468780731225384998257983804842213560110794259463275544576 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 x #s(literal 3800000000000000059717171000319601051478809870278115797730924709884214779405182787753695400742163434798727573791951472290867133284352 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (if (<=.f64 x #s(literal 70000000000000003750114594646131406599802139028777035977422135431784906346198157659900989077676076803135455176293538809557668023494918679125738852844867219745637578833920 binary64)) (/.f64 x (.f64 y (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 x #s(literal 460000000000000022989342072896247615532851634414141168454627161011819402955703341523111681885850708626779950363751193610319198752849468780731225384998257983804842213560110794259463275544576 binary64)) (.f64 #s(literal 1/2 binary64) (-.f64 y (.f64 z (/.f64 z y)))) (.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) y))))))
(if (<=.f64 y #s(literal 320000000 binary64)) (.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) (.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 320000000 binary64)) (.f64 (/.f64 x y) (/.f64 x #s(literal 2 binary64))) (.f64 y #s(literal 1/2 binary64)))
(if (<=.f64 y #s(literal 240000000 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 #s(literal 1/2 binary64) y))
(if (<=.f64 y #s(literal 240000000 binary64)) (.f64 x (.f64 x (/.f64 #s(literal 1/2 binary64) y))) (*.f64 y #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) y)
(*.f64 y #s(literal 1/2 binary64))

soundness1.2s (12.1%)

Rules

1156×	`log1p-expm1-u`
908×	`log1p-expm1-u`
908×	`expm1-log1p-u`
585×	`fma-neg`
528×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	444
1	562	397
2	7916	397
0	28	370
1	423	300
2	6086	300
0	36	269
1	599	216
0	17	117
1	243	102
2	3706	102
0	577	19994
1	1397	18541
2	5037	18447

Stop Event

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

Compiler

Compiled 1136 to 640 computations (43.7% saved)

preprocess307.0ms (3%)

Remove

(abs z)

(abs x)

Compiler

Compiled 1262 to 730 computations (42.2% saved)

analyze62.0ms (0.6%)

sample1.7s (16.3%)

preprocess111.0ms (1.1%)

explain206.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize49.0ms (0.5%)

series33.0ms (0.3%)

rewrite276.0ms (2.7%)

simplify278.0ms (2.7%)

eval505.0ms (4.9%)

prune68.0ms (0.7%)

localize402.0ms (3.9%)

series51.0ms (0.5%)

rewrite191.0ms (1.9%)

simplify192.0ms (1.9%)

eval483.0ms (4.7%)

prune123.0ms (1.2%)

localize336.0ms (3.3%)

series71.0ms (0.7%)

rewrite232.0ms (2.3%)

simplify247.0ms (2.4%)

eval819.0ms (8%)

prune307.0ms (3%)

localize274.0ms (2.7%)

series36.0ms (0.4%)

rewrite94.0ms (0.9%)

simplify263.0ms (2.6%)

eval473.0ms (4.6%)

prune135.0ms (1.3%)

regimes91.0ms (0.9%)

regimes92.0ms (0.9%)

regimes12.0ms (0.1%)

regimes11.0ms (0.1%)

regimes41.0ms (0.4%)

regimes154.0ms (1.5%)

regimes9.0ms (0.1%)

regimes18.0ms (0.2%)

regimes4.0ms (0%)

regimes2.0ms (0%)

bsearch13.0ms (0.1%)

bsearch32.0ms (0.3%)

bsearch16.0ms (0.2%)

bsearch39.0ms (0.4%)

bsearch55.0ms (0.5%)

bsearch57.0ms (0.6%)

bsearch55.0ms (0.5%)

bsearch10.0ms (0.1%)

bsearch11.0ms (0.1%)

simplify16.0ms (0.2%)

soundness1.2s (12.1%)

preprocess307.0ms (3%)

end0.0ms (0%)

Profiling