Metrics for Kahan p9 Example

analyze5.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	18.7%	81.3%	0%	0%	0%	0
0%	0%	18.7%	81.3%	0%	0%	0%	1
0%	0%	18.7%	81.3%	0%	0%	0%	2
50%	9.4%	9.4%	81.3%	0%	0%	0%	3
50%	9.4%	9.4%	81.3%	0%	0%	0%	4
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	5
87.5%	16.4%	2.3%	81.3%	0%	0%	0%	6
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	7
96.9%	18.1%	0.6%	81.3%	0%	0%	0%	8
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	9
99.2%	18.6%	0.1%	81.3%	0%	0%	0%	10
99.8%	18.7%	0%	81.3%	0%	0%	0%	11
99.8%	18.7%	0%	81.3%	0%	0%	0%	12

Compiler

Compiled 27 to 17 computations (37% saved)

sample1.1s (12.1%)

Memory

30.4MiB live, 1 768.8MiB allocated

Samples

751.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 554.0ms

ival-mult: 225.0ms (40.6% of total)

ival-div: 99.0ms (17.9% of total)

ival-add: 86.0ms (15.5% of total)

ival-sub: 59.0ms (10.6% of total)

ival-<: 57.0ms (10.3% of total)

ival-and: 16.0ms (2.9% of total)

...in/eval/compile.rkt:110:19: 9.0ms (1.6% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

preprocess189.0ms (2%)

Memory

4.7MiB live, 82.3MiB allocated

Algorithm

1×	egg-herbie

Rules

675×	`fmm-def`
506×	`times-frac`
498×	`fma-define`
458×	`associate-+r+`
410×	`sub-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	465
1	124	465
2	359	441
3	1036	441
4	3098	441
5	6362	441
6	7040	441
7	7490	441
8	7824	441
9	7892	441

Stop Event

1×	node limit

Calls

Call 1

Inputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(/.f64 (.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(neg.f64 (/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(neg.f64 (/.f64 (.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x x)))

Outputs
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y)))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(neg.f64 (/.f64 (.f64 (-.f64 (neg.f64 x) y) (+.f64 (neg.f64 x) y)) (+.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 y y))))
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 y x) (neg.f64 (fma.f64 y y (.f64 x x)))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y y))))
(neg.f64 (/.f64 (.f64 (-.f64 x (neg.f64 y)) (+.f64 x (neg.f64 y))) (+.f64 (.f64 x x) (*.f64 (neg.f64 y) (neg.f64 y)))))
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 y x) (neg.f64 (fma.f64 y y (.f64 x x)))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y y))))
(/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (+.f64 (.f64 y y) (*.f64 x x)))
(/.f64 (.f64 (-.f64 (neg.f64 x) y) (-.f64 y x)) (neg.f64 (fma.f64 x x (.f64 y y))))
(.f64 (-.f64 (neg.f64 x) y) (/.f64 (-.f64 y x) (neg.f64 (fma.f64 y y (.f64 x x)))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 y y (.f64 x x))))
(.f64 (+.f64 x y) (/.f64 (-.f64 y x) (fma.f64 x x (.f64 y y))))

Symmetry

(abs x)

(abs y)

explain211.0ms (2.3%)

Memory

-2.6MiB live, 194.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
81	-	-	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	-	`(*.f64 (-.f64 x y) (+.f64 x y))`
0	-	-	`(*.f64 x x)`
0	-	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	-	`y`
0	-	-	`(+.f64 x y)`
0	-	-	`(-.f64 x y)`
0	-	-	`(*.f64 y y)`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	o/o	48	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	overflow	48
↳	`(*.f64 y y)`	overflow	48
↳	`(+.f64 (.f64 x x) (.f64 y y))`	overflow	48
`/.f64`	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`	u/u	33	0
↳	`(*.f64 (-.f64 x y) (+.f64 x y))`	underflow	33
↳	`(*.f64 y y)`	underflow	75
↳	`(*.f64 x x)`	underflow	118
↳	`(+.f64 (.f64 x x) (.f64 y y))`	underflow	33

Confusion

	Predicted +	Predicted -
+	81	0
-	0	175

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	81	0	0
-	0	0	175

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	175
1	81

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

112.0ms

512×

valid

Compiler

Compiled 124 to 40 computations (67.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-mult: 85.0ms (87.8% of total)

ival-add: 5.0ms (5.2% of total)

ival-sub: 3.0ms (3.1% of total)

ival-div: 3.0ms (3.1% of total)

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

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

eval0.0ms (0%)

Memory: 0.9MiB live, 0.9MiB allocated
Compiler: Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	68.4%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

simplify126.0ms (1.3%)

Memory

-21.0MiB live, 32.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Program
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(-.f64 x y)
✓	cost-diff	(*.f64 (-.f64 x y) (+.f64 x y))
✓	cost-diff	(fma.f64 y y (*.f64 x x))
✓	cost-diff	(+.f64 x y)
✓	cost-diff	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
✓	cost-diff	(-.f64 x y)

Rules

600×	`fma-define`
547×	`sub-neg`
453×	`unsub-neg`
439×	`div-sub`
300×	`fmm-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	363
1	35	363
2	69	363
3	152	363
4	329	363
5	740	363
6	1705	363
7	3970	363
8	6045	363
9	7635	363

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(-.f64 x y)
x
y
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(*.f64 x x)
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 x x)
(*.f64 y y)

Outputs
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (fma.f64 x x (.f64 y (neg.f64 y))) (fma.f64 x x (.f64 y y)))
(-.f64 x y)
x
y
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(/.f64 (+.f64 x y) (fma.f64 x x (*.f64 y y)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (fma.f64 x x (.f64 y (neg.f64 y))) (fma.f64 x x (.f64 y y)))
(*.f64 (-.f64 x y) (+.f64 x y))
(fma.f64 x x (*.f64 y (neg.f64 y)))
(-.f64 (.f64 x x) (.f64 y y))
(-.f64 x y)
x
y
(+.f64 x y)
(+.f64 (.f64 x x) (.f64 y y))
(fma.f64 x x (*.f64 y y))
(*.f64 x x)
(*.f64 y y)

localize50.0ms (0.5%)

Memory

24.6MiB live, 63.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	68.7%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x x))
✓	accuracy	99.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	accuracy	69.5%	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))

Samples

35.0ms

256×

valid

Compiler

Compiled 86 to 14 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (43.1% of total)

ival-div: 3.0ms (21.5% of total)

ival-add: 3.0ms (21.5% of total)

ival-sub: 2.0ms (14.4% of total)

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

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

series20.0ms (0.2%)

Memory

-4.0MiB live, 35.0MiB allocated

Counts

10 → 207

Calls

Call 1

Inputs
#<alt (-.f64 x y)>
#<alt (/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))>
#<alt (+.f64 x y)>
#<alt (fma.f64 y y (*.f64 x x))>
#<alt (*.f64 (-.f64 x y) (+.f64 x y))>
#<alt (*.f64 x x)>
#<alt (.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))>
#<alt (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))>
#<alt (+.f64 (.f64 x x) (.f64 y y))>
#<alt (*.f64 y y)>

Outputs
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 y x))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (/.f64 y x) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) y))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 y (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (pow.f64 y #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 x (+.f64 (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64)) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y))) y)>
#<alt (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) y)>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64)) y))>
#<alt y>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt x>
#<alt y>
#<alt (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
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#<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)))))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>
#<alt (pow.f64 y #s(literal 2 binary64))>

Calls

54 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+ x y)
1.0ms	x	@	-inf	(* (- x y) (+ x y))
1.0ms	x	@	0	(/ (+ x y) (+ (* y y) (* x x)))
1.0ms	y	@	-inf	(* (- x y) (/ (+ x y) (+ (* y y) (* x x))))
1.0ms	x	@	inf	(* (- x y) (/ (+ x y) (+ (* y y) (* x x))))

rewrite401.0ms (4.3%)

Memory

7.7MiB live, 476.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
666×	`fma-define`
273×	`fmm-def`
117×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	287
1	298	244
2	4091	244

Stop Event

1×	node limit

Counts

10 → 553

Calls

Call 1

Inputs
(-.f64 x y)
(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
(+.f64 x y)
(fma.f64 y y (*.f64 x x))
(*.f64 (-.f64 x y) (+.f64 x y))
(*.f64 x x)
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(+.f64 (.f64 x x) (.f64 y y))
(*.f64 y y)

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

simplify492.0ms (5.3%)

Memory

-35.0MiB live, 465.6MiB allocated

Algorithm

1×	egg-herbie

Rules

422×	`associate-/r*`
378×	`distribute-lft-in`
354×	`distribute-rgt-in`
350×	`fma-define`
335×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1138	32960
1	2923	29163

Stop Event

1×	node limit

Counts

760 → 777

Calls

Call 1

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

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

eval175.0ms (1.9%)

Memory: 23.1MiB live, 260.1MiB allocated
Compiler: Compiled 22 408 to 2 812 computations (87.5% saved)

prune131.0ms (1.4%)

Memory

2.8MiB live, 281.3MiB allocated

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	973	9	982
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	974	10	984

Accuracy

100.0%

Counts

984 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	68.3%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	68.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	99.0%	(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) #s(literal 2 binary64)))
▶	33.4%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	69.3%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	69.3%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
	31.9%	#s(literal 1 binary64)
▶	68.5%	#s(literal -1 binary64)

Compiler

Compiled 245 to 141 computations (42.4% saved)

simplify82.0ms (0.9%)

Memory

-16.2MiB live, 25.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	6528	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	cost-diff	6528	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	6400	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Rules

499×	`fma-define`
481×	`div-sub`
434×	`distribute-lft-in`
405×	`distribute-rgt-in`
337×	`times-frac`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	585
1	60	573
2	143	573
3	530	558
4	1816	555
5	4475	549
6	7353	549

Stop Event

1×	node limit

Calls

Call 1

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

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

localize132.0ms (1.4%)

Memory

14.7MiB live, 131.8MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
✓	accuracy	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	accuracy	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓	accuracy	91.7%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))

Samples

102.0ms

256×

valid

Compiler

Compiled 145 to 21 computations (85.5% saved)

Precisions

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

ival-div: 9.0ms (36.2% of total)

ival-mult: 7.0ms (28.1% of total)

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

ival-sub: 2.0ms (8% of total)

ival-add: 2.0ms (8% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series40.0ms (0.4%)

Memory

3.4MiB live, 83.2MiB allocated

Counts

12 → 252

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))>
#<alt (/.f64 (-.f64 x y) (hypot.f64 x y))>
#<alt (hypot.f64 x y)>
#<alt (*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))>
#<alt (/.f64 #s(literal 1 binary64) (hypot.f64 x y))>
#<alt (/.f64 (+.f64 x y) (hypot.f64 x y))>

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
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#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x y))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64))>

Calls

69 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(sqrt (+ (* x x) (* y y)))
3.0ms	x	@	-inf	(sqrt (+ (* x x) (* y y)))
2.0ms	x	@	0	(/ (+ 1 (/ y x)) x)
2.0ms	x	@	-inf	(* (- x y) (* (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))))
1.0ms	x	@	inf	(/ 1 (sqrt (+ (* x x) (* y y))))

rewrite243.0ms (2.6%)

Memory

-24.3MiB live, 220.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u`
201×	`frac-times`
184×	`add-cube-cbrt`
183×	`expm1-log1p-u`
182×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	402
1	425	354
2	6573	354

Stop Event

1×	node limit

Counts

12 → 479

Calls

Call 1

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

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

simplify341.0ms (3.7%)

Memory

26.6MiB live, 664.5MiB allocated

Algorithm

1×	egg-herbie

Rules

630×	`fma-define`
455×	`distribute-lft-in`
438×	`distribute-rgt-in`
323×	`*-commutative`
185×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1384	32780
1	3753	30738

Stop Event

1×	node limit

Counts

731 → 819

Calls

Call 1

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

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

eval536.0ms (5.7%)

Memory: -24.0MiB live, 527.4MiB allocated
Compiler: Compiled 41 302 to 4 806 computations (88.4% saved)

prune280.0ms (3%)

Memory

36.8MiB live, 512.7MiB allocated

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	1 790	14	1 804
Fresh	2	2	4
Picked	3	2	5
Done	0	1	1
Total	1 795	19	1 814

Accuracy

100.0%

Counts

1 814 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
	69.5%	(/.f64 (-.f64 x y) y)
	99.9%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	68.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	33.6%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
	33.6%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	34.3%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
▶	70.1%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	34.3%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	69.3%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	33.4%	(.f64 (-.f64 x y) (/.f64 (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x))
	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (/.f64 (+.f64 x y) (hypot.f64 x y)))))
✓	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
▶	34.2%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x)))
	69.9%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	69.9%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (hypot.f64 x y))))
	68.3%	(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))
▶	31.9%	#s(literal 1 binary64)
✓	68.5%	#s(literal -1 binary64)

Compiler

Compiled 489 to 280 computations (42.7% saved)

simplify73.0ms (0.8%)

Memory

-16.5MiB live, 22.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
✓	cost-diff	256	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x)))
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	0	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	128	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	6400	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))

Rules

611×	`times-frac`
568×	`distribute-lft-in`
509×	`distribute-rgt-in`
451×	`div-sub`
339×	`associate-*r/`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	663
1	73	651
2	204	647
3	693	641
4	2758	620
5	7521	620

Stop Event

1×	node limit

Calls

Call 1

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

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

localize92.0ms (1%)

Memory

-24.7MiB live, 145.1MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	99.6%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x)))
✓	accuracy	83.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.8%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (+.f64 x y))
	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))

Samples

45.0ms

256×

valid

Compiler

Compiled 162 to 22 computations (86.4% saved)

Precisions

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

ival-div: 13.0ms (46.3% of total)

ival-mult: 6.0ms (21.4% of total)

ival-add: 4.0ms (14.3% of total)

ival-hypot: 4.0ms (14.3% of total)

ival-sub: 2.0ms (7.1% of total)

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

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

series30.0ms (0.3%)

Memory

4.8MiB live, 43.8MiB allocated

Counts

9 → 204

Calls

Call 1

Inputs
#<alt (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))>
#<alt (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)>
#<alt (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))>
#<alt (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))>
#<alt (.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x)))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) x))>
#<alt (/.f64 (hypot.f64 x y) (+.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (/.f64 (+.f64 x y) x)>

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (.f64 #s(literal -1 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y)))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 x (+.f64 x (+.f64 y (*.f64 #s(literal -1 binary64) y))))) x)>
#<alt x>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))))>
#<alt (.f64 x (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))))>
#<alt x>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (/.f64 x (pow.f64 y #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -7/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 11/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 7/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y))))))>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 y #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) y))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 x #s(literal 6 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) y))))))))>
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#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 y x) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 3 binary64)))) x)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64))))) x))) x)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (.f64 #s(literal -3/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x y)))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #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) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (/.f64 x y) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) y))) y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))) y))) y)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt (/.f64 (+.f64 x y) y)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 y x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>

Calls

54 calls:

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

rewrite127.0ms (1.4%)

Memory

18.6MiB live, 215.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

226×	`log1p-expm1-u`
226×	`add-cube-cbrt`
226×	`expm1-log1p-u`
224×	`add-exp-log`
224×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	375
1	490	357

Stop Event

1×	node limit

Counts

9 → 381

Calls

Call 1

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

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

simplify281.0ms (3%)

Memory

16.6MiB live, 490.6MiB allocated

Algorithm

1×	egg-herbie

Rules

768×	`fma-define`
626×	`times-frac`
560×	`distribute-lft-in`
393×	`*-commutative`
205×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1429	32601
1	4241	29803

Stop Event

1×	node limit

Counts

585 → 795

Calls

Call 1

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

Outputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 2 binary64)))) #s(literal -1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
#s(literal 1 binary64)
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 0 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64)))))) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) y) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 (neg.f64 (pow.f64 y #s(literal 2 binary64))) x)) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 0 binary64) y) (/.f64 (.f64 #s(literal -1 binary64) (+.f64 (-.f64 (pow.f64 y #s(literal 2 binary64)) (neg.f64 (pow.f64 y #s(literal 2 binary64)))) (.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 0 binary64) y) x)))) x))) x)))
(-.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) x)) (fma.f64 y y (pow.f64 y #s(literal 2 binary64)))) (neg.f64 x)) x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (-.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 (pow.f64 y #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
#s(literal -1 binary64)
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (*.f64 #s(literal 0 binary64) (/.f64 x y)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (+.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 x y) (fma.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))))
(+.f64 (+.f64 (-.f64 (-.f64 (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) (/.f64 x y)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 0 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 0 binary64) x) y) #s(literal -1 binary64))
(+.f64 (/.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
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(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) x))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) x) #s(literal 3 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) x)))
(expm1.f64 (log1p.f64 (fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) x)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) x)) #s(literal 1 binary64)))
(*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))

eval537.0ms (5.8%)

Memory: -89.0MiB live, 674.9MiB allocated
Compiler: Compiled 48 170 to 5 802 computations (88% saved)

prune278.0ms (3%)

Memory

-2.3MiB live, 762.2MiB allocated

Pruning

20 alts after pruning (15 fresh and 5 done)

	Pruned	Kept	Total
New	2 061	12	2 073
Fresh	8	3	11
Picked	2	3	5
Done	1	2	3
Total	2 072	20	2 092

Accuracy

100.0%

Counts

2 092 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.7%	(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/2 binary64) #s(literal -1 binary64))
	70.0%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
	33.9%	(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
	34.3%	(/.f64 (/.f64 (+.f64 x y) x) (/.f64 (hypot.f64 x y) (-.f64 x y)))
▶	33.6%	(/.f64 (-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))) x)
▶	99.9%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
	34.3%	(/.f64 (+.f64 x y) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) x))
✓	68.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	33.6%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
	33.6%	(/.f64 (.f64 (-.f64 x y) (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x)))) x)
▶	3.8%	(/.f64 (neg.f64 x) y)
▶	69.9%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
	69.6%	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	33.4%	(.f64 (-.f64 x y) (/.f64 (.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) x))) x))
▶	34.2%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))))
	34.1%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))))
	68.3%	(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))
✓	31.9%	#s(literal 1 binary64)
✓	68.5%	#s(literal -1 binary64)

Compiler

Compiled 469 to 279 computations (40.5% saved)

simplify77.0ms (0.8%)

Memory

-0.9MiB live, 38.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))))
✓	cost-diff	384	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))))
✓	cost-diff	0	(/.f64 x y)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y))
✓	cost-diff	0	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
✓	cost-diff	0	(*.f64 (-.f64 x y) (/.f64 y x))
✓	cost-diff	256	(-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))
✓	cost-diff	256	(-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))))
✓	cost-diff	256	(/.f64 (-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))) x)
✓	cost-diff	0	(neg.f64 x)
✓	cost-diff	0	(/.f64 (neg.f64 x) y)
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	6400	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	cost-diff	6400	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))

Rules

627×	`unsub-neg`
482×	`fmm-def`
398×	`sub-neg`
316×	`associate-/r*`
311×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	31	837
1	80	793
2	211	762
3	826	756
4	3101	724
5	7160	724

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(/.f64 (+.f64 x y) (/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y)))
(.f64 (+.f64 x y) (/.f64 (-.f64 x y) (fma.f64 x x (.f64 y y))))
(+.f64 x y)
x
y
(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
(/.f64 (fma.f64 x x (*.f64 y y)) (-.f64 x y))
(hypot.f64 x y)
(/.f64 (hypot.f64 x y) (-.f64 x y))
(-.f64 x y)
(/.f64 (neg.f64 x) y)
(/.f64 x (neg.f64 y))
(neg.f64 x)
x
y
(/.f64 (-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))) x)
(/.f64 (+.f64 (-.f64 x y) (*.f64 (-.f64 x y) (/.f64 y x))) x)
(/.f64 (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 x y)) x)
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (/.f64 (-.f64 x y) x))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (/.f64 y x)) x))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) (/.f64 y x)))
(-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))))
(+.f64 (-.f64 x y) (*.f64 (-.f64 x y) (/.f64 y x)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (-.f64 x y))
(*.f64 (-.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 x (*.f64 y (/.f64 y x)))
x
(-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))
(fma.f64 (/.f64 y x) (-.f64 y x) y)
(*.f64 y (/.f64 y x))
y
(*.f64 (-.f64 x y) (/.f64 y x))
(*.f64 y (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 x y)
(/.f64 y x)
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
#s(literal 1 binary64)
(/.f64 x y)
x
y
(hypot.f64 x y)
(-.f64 x y)
(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))))
(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) (hypot.f64 x y)))
(*.f64 (-.f64 x y) (/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (hypot.f64 x y)))
(*.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (hypot.f64 x y)))
(/.f64 (-.f64 x (*.f64 y (/.f64 y x))) (hypot.f64 x y))
(-.f64 x y)
x
y
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))))
(.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y)))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))) (hypot.f64 x y))
(/.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) (hypot.f64 x y))
(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
#s(literal 1 binary64)
(hypot.f64 x y)
(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 x y))
(+.f64 (/.f64 y x) #s(literal 1 binary64))
(/.f64 x (+.f64 x y))
(+.f64 x y)

localize112.0ms (1.2%)

Memory

16.6MiB live, 249.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 x (+.f64 x y))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))
✓	accuracy	99.6%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y)))))
✓	accuracy	83.2%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 #s(literal 1 binary64) (/.f64 x (+.f64 x y))))
	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.8%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y))
✓	accuracy	99.7%	(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y))
✓	accuracy	100.0%	(-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))))
✓	accuracy	99.8%	(/.f64 (-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))) x)
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (/.f64 y x))
✓	accuracy	87.1%	(-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))
✓	accuracy	100.0%	(/.f64 (neg.f64 x) y)
✓	accuracy	100.0%	(neg.f64 x)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (-.f64 x y))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	accuracy	100.0%	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))

Samples

41.0ms	186×	0	valid
30.0ms	70×	1	valid

Compiler

Compiled 200 to 27 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-div: 20.0ms (38.2% of total)

ival-mult: 15.0ms (28.6% of total)

ival-add: 5.0ms (9.5% of total)

ival-hypot: 4.0ms (7.6% of total)

ival-sub: 4.0ms (7.6% of total)

adjust: 2.0ms (3.8% of total)

ival-neg: 1.0ms (1.9% of total)

...in/eval/compile.rkt:110:19: 0.0ms (0% of total)

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

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

series50.0ms (0.5%)

Memory

-22.1MiB live, 100.8MiB allocated

Counts

16 → 348

Calls

Call 1

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

Outputs
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
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#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y)))) x)>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x)))) x)>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1/2 binary64) (pow.f64 y #s(literal 2 binary64)))) x))) x))) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 y (+.f64 (.f64 y (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y))))>
#<alt (/.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 x y))) y)) (/.f64 #s(literal 1 binary64) x))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y))) y)) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 y x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt (/.f64 (+.f64 x y) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (/.f64 y x)>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 #s(literal -3/2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -3/2 binary64) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 y x) (+.f64 (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (+.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))>
#<alt (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 y #s(literal 2 binary64))) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)))) x))) x)) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 y x))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt #s(literal -1 binary64)>
#<alt (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))>
#<alt (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) #s(literal 1 binary64))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y))) y)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) y))) y)))>
#<alt (/.f64 x y)>
#<alt (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt (.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))>
#<alt (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 x y)>
#<alt (/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)>
#<alt (/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)>
#<alt (/.f64 x y)>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))>

Calls

93 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	(* (sqrt (+ (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
4.0ms	x	@	0	(/ (- x (- y (* (- x y) (/ y x)))) x)
3.0ms	x	@	inf	(- y (* (- x y) (/ y x)))
2.0ms	y	@	inf	(* (sqrt (+ (* x x) (* y y))) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
1.0ms	x	@	-inf	(/ (- x (- y (* (- x y) (/ y x)))) x)

rewrite204.0ms (2.2%)

Memory

21.6MiB live, 263.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-expm1-u`
280×	`expm1-log1p-u`
279×	`add-cube-cbrt`
278×	`add-log-exp`
277×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	619
1	605	562

Stop Event

1×	node limit

Counts

16 → 501

Calls

Call 1

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

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

simplify421.0ms (4.5%)

Memory

-26.6MiB live, 847.2MiB allocated

Algorithm

1×	egg-herbie

Rules

565×	`distribute-lft-in`
447×	`*-commutative`
285×	`+-commutative`
250×	`associate-*r/`
247×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1794	41955
1	5134	40064

Stop Event

1×	node limit

Counts

849 → 1 026

Calls

Call 1

Inputs
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (.f64 #s(literal -1 binary64) y))) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (+.f64 y (.f64 #s(literal -1 binary64) y))) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 y (*.f64 #s(literal -1 binary64) y))) x))) x))) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))))
#s(literal -1 binary64)
(-.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) (pow.f64 y #s(literal 3 binary64)))) (+.f64 (/.f64 x y) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))
#s(literal -1 binary64)
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (.f64 #s(literal -1 binary64) x)) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 x (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 x (.f64 #s(literal -1 binary64) x))) y) (pow.f64 x #s(literal 2 binary64))) (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 2 binary64)))) y)))) y)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) y)
(+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) y))
(+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64))))
(+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal -2 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 y x)) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
x
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 y (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x))) x)) #s(literal 1 binary64))))
(.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (-.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) (.f64 #s(literal -1 binary64) (/.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64))))) x))) x))) x)) #s(literal 1 binary64))))
x
(+.f64 x y)
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x)))))
(+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal 2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)))))))
(*.f64 #s(literal -1 binary64) y)
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#s(literal 1 binary64)
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(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (+.f64 (.f64 y (+.f64 (.f64 #s(literal 3/2 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) x))))
#s(literal -1 binary64)
(-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 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 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) #s(literal 1 binary64))
(-.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x y)) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (+.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))))) #s(literal 1 binary64))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))) y))) y)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64)))) y))) y)))
(/.f64 x y)
(.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
(.f64 x (+.f64 (.f64 x (-.f64 (.f64 x (+.f64 (.f64 #s(literal -1 binary64) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) y)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x))
(-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (/.f64 y x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) (*.f64 #s(literal -1 binary64) y)) x)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1 binary64) y)) x)))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 y x)))
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (/.f64 y (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1 binary64) (.f64 y (-.f64 (.f64 y (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 y (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) x))))
(/.f64 x y)
(/.f64 (+.f64 x (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 (-.f64 (+.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y)
(/.f64 (-.f64 (+.f64 x (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 3 binary64))))) (+.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))) y)
(/.f64 x y)
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (/.f64 (pow.f64 x #s(literal 2 binary64)) y)) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y) (pow.f64 x #s(literal 2 binary64))) y))) y))
(.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) y) (pow.f64 x #s(literal 3 binary64))) y)) (pow.f64 x #s(literal 2 binary64))) y))) y))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))) #s(literal 1 binary64))
(*.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (neg.f64 (+.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (+.f64 x y) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (+.f64 x y) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (hypot.f64 x y)) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (cbrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) (/.f64 (cbrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y))) (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y)))) #s(literal 2 binary64))
(pow.f64 (/.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) (+.f64 x y)) #s(literal -1 binary64))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(exp.f64 (log.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x y) (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))) #s(literal 1 binary64))
(/.f64 (hypot.f64 x y) (/.f64 (-.f64 x y) (hypot.f64 x y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))))
(/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))
(/.f64 (neg.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (neg.f64 (-.f64 x y)))
(pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (hypot.f64 x y) (sqrt.f64 (-.f64 x y))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (hypot.f64 x y) #s(literal 3 binary64)) (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (hypot.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (hypot.f64 x y) #s(literal 2 binary64)) (-.f64 x y))) #s(literal 1 binary64)))
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 x y))
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (neg.f64 y)))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 #s(literal -1 binary64) (/.f64 x y))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 x y)))
(*.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 x y)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 x) y))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (cbrt.f64 (/.f64 x y)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 y)) (/.f64 (cbrt.f64 x) (sqrt.f64 y)))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) y))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (cbrt.f64 y) #s(literal 2 binary64))) (/.f64 x (cbrt.f64 y)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))
(pow.f64 (/.f64 y x) #s(literal -1 binary64))
(pow.f64 (/.f64 x y) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 x y)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 x y)) #s(literal 2 binary64))
(neg.f64 (/.f64 x y))
(sqrt.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 x y)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x y))))
(cbrt.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 x y)))
(log1p.f64 (expm1.f64 (/.f64 x y)))
(exp.f64 (log.f64 (/.f64 x y)))
(exp.f64 (*.f64 (log.f64 (/.f64 x y)) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) x)
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 #s(literal -1 binary64) x)
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) x))))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))) x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))) x)))) #s(literal 1 binary64))
(.f64 (+.f64 (-.f64 x y) (.f64 (-.f64 x y) (/.f64 y x))) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (-.f64 x y) (/.f64 y x))) x)))
(.f64 (pow.f64 (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (-.f64 x y) (/.f64 y x))) x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))) x))))
(.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 (-.f64 x y) (/.f64 y x))) x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x))) x))))
(.f64 (neg.f64 (+.f64 (-.f64 x y) (.f64 (-.f64 x y) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) x))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 x (+.f64 x y)))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) #s(literal 3 binary64)))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 x y) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x y))))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x y))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x y))) #s(literal 1 binary64)))

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

eval460.0ms (4.9%)

Memory: 12.3MiB live, 843.8MiB allocated
Compiler: Compiled 48 027 to 6 936 computations (85.6% saved)

prune384.0ms (4.1%)

Memory

18.5MiB live, 905.6MiB allocated

Pruning

15 alts after pruning (7 fresh and 8 done)

	Pruned	Kept	Total
New	2 036	2	2 038
Fresh	5	5	10
Picked	2	3	5
Done	0	5	5
Total	2 043	15	2 058

Accuracy

100.0%

Counts

2 058 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	69.7%	(fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 3/2 binary64) #s(literal -1 binary64))
	70.0%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
	33.9%	(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
✓	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	33.6%	(/.f64 (-.f64 x (-.f64 y (*.f64 (-.f64 x y) (/.f64 y x)))) x)
	68.9%	(/.f64 (+.f64 x y) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
	32.7%	(/.f64 (+.f64 x y) (+.f64 x (.f64 y (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (/.f64 y x))))))
✓	99.9%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	68.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	33.6%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
✓	3.8%	(/.f64 (neg.f64 x) y)
	69.6%	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	68.3%	(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y))
✓	31.9%	#s(literal 1 binary64)
✓	68.5%	#s(literal -1 binary64)

Compiler

Compiled 660 to 223 computations (66.2% saved)

regimes36.0ms (0.4%)

Memory

-24.0MiB live, 95.4MiB allocated

Counts

39 → 1

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Calls

3 calls:

12.0ms	x
12.0ms	y
10.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes31.0ms (0.3%)

Memory

4.2MiB live, 81.4MiB allocated

Counts

33 → 2

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
10.0ms	y
7.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
83.4%	2	`x`
94.4%	3	`y`
93.2%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes9.0ms (0.1%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

31 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
93.1%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes8.0ms (0.1%)

Memory

-20.7MiB live, 17.6MiB allocated

Counts

20 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
93.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

18 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

(/.f64 (*.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (*.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
92.9%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes6.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
86.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes41.0ms (0.4%)

Memory

-32.5MiB live, 11.5MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

40.0ms

Results

Accuracy	Segments	Branch
86.6%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

11.5MiB live, 11.5MiB allocated

Counts

9 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

10.8MiB live, 10.8MiB allocated

Counts

8 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

7 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Memory

-30.5MiB live, 9.1MiB allocated

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(/.f64 (neg.f64 x) y)

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
85.9%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Memory

9.3MiB live, 9.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
68.5%	1	`x`
68.5%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 20 to 14 computations (30% saved)

bsearch12.0ms (0.1%)

Memory

-11.7MiB live, 28.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7514623374006943e-161	4.576299378003914e-160

Samples

7.0ms

112×

valid

Compiler

Compiled 230 to 133 computations (42.2% saved)

Precisions

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

ival-mult: 2.0ms (41.7% of total)

ival-sub: 1.0ms (20.8% of total)

ival-div: 1.0ms (20.8% of total)

ival-add: 1.0ms (20.8% of total)

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

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

bsearch12.0ms (0.1%)

Memory

-10.9MiB live, 28.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7514623374006943e-161	4.576299378003914e-160

Samples

7.0ms

112×

valid

Compiler

Compiled 216 to 133 computations (38.4% saved)

Precisions

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

ival-mult: 2.0ms (46.5% of total)

ival-sub: 1.0ms (23.3% of total)

ival-div: 1.0ms (23.3% of total)

ival-add: 1.0ms (23.3% of total)

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

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

bsearch12.0ms (0.1%)

Memory

27.0MiB live, 27.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7514623374006943e-161	4.576299378003914e-160

Samples

7.0ms

112×

valid

Compiler

Compiled 216 to 133 computations (38.4% saved)

Precisions

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

ival-mult: 2.0ms (46.4% of total)

ival-sub: 1.0ms (23.2% of total)

ival-div: 1.0ms (23.2% of total)

ival-add: 1.0ms (23.2% of total)

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

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

bsearch12.0ms (0.1%)

Memory

-13.7MiB live, 26.9MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.7514623374006943e-161	4.576299378003914e-160

Samples

8.0ms

112×

valid

Compiler

Compiled 216 to 140 computations (35.2% saved)

Precisions

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

ival-mult: 3.0ms (57.2% of total)

ival-sub: 1.0ms (19.1% of total)

ival-div: 1.0ms (19.1% of total)

ival-add: 1.0ms (19.1% of total)

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

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

bsearch16.0ms (0.2%)

Memory

-2.5MiB live, 36.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5458086926303254e-167	4.239673608689757e-162

Samples

9.0ms

144×

valid

Compiler

Compiled 182 to 131 computations (28% saved)

Precisions

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

ival-mult: 2.0ms (35.9% of total)

ival-sub: 1.0ms (17.9% of total)

ival-div: 1.0ms (17.9% of total)

ival-add: 1.0ms (17.9% of total)

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

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

bsearch15.0ms (0.2%)

Memory

-0.3MiB live, 38.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
14.0ms	2.5458086926303254e-167	4.239673608689757e-162

Samples

10.0ms

144×

valid

Compiler

Compiled 128 to 95 computations (25.8% saved)

Precisions

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

ival-mult: 2.0ms (36.7% of total)

ival-sub: 1.0ms (18.3% of total)

ival-div: 1.0ms (18.3% of total)

ival-add: 1.0ms (18.3% of total)

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

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

bsearch14.0ms (0.1%)

Memory

-7.6MiB live, 31.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
12.0ms	2.5458086926303254e-167	4.239673608689757e-162

Samples

9.0ms

128×

valid

Compiler

Compiled 84 to 78 computations (7.1% saved)

Precisions

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

ival-mult: 3.0ms (52.3% of total)

ival-sub: 1.0ms (17.4% of total)

ival-div: 1.0ms (17.4% of total)

ival-add: 1.0ms (17.4% of total)

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

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

simplify84.0ms (0.9%)

Memory

7.5MiB live, 125.3MiB allocated

Algorithm

1×	egg-herbie

Rules

163×	`distribute-lft-neg-in`
112×	`unsub-neg`
90×	`neg-mul-1`
89×	`neg-sub0`
73×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	1343
1	103	1343
2	127	1343
3	167	1343
4	234	1343
5	342	1343
6	494	1343
7	681	1343
8	859	1343
9	997	1343
10	1071	1343
11	1099	1343
12	1110	1343
13	1115	1343
14	1116	1343

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 54412688324083/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 x (-.f64 y (.f64 (-.f64 x y) (/.f64 y x)))) x) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 3007537681912951/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 3735678383849771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 6806532648539837/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 3047300495896979/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 8402769026984011/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(literal 1 binary64) (/.f64 (-.f64 x y) y))
(if (<=.f64 y #s(literal 7635108646741027/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (hypot.f64 x y)) (-.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (-.f64 x y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (hypot.f64 x y))))
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(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (*.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
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(if (<=.f64 y #s(literal 54412688324083/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 x (-.f64 y (.f64 (-.f64 x y) (/.f64 y x)))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 54412688324083/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 x (-.f64 y (.f64 (-.f64 x y) (/.f64 y x)))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 54412688324083/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (-.f64 x (+.f64 y (.f64 (/.f64 y x) (-.f64 y x)))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 54412688324083/247330401473104534060502521019647190035131349101211839914063056092897225106531867170316401061243044989597671426016139339351365034306751209967546155101893167916606772148699136 binary64)) (/.f64 (+.f64 x (-.f64 (.f64 (-.f64 x y) (/.f64 y x)) y)) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 3007537681912951/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 3007537681912951/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 3007537681912951/7914572847139345089936080672628710081124203171238778877250017794972711203409019749450124833959777439667125485632516458859243681097816038718961476963260581373331416708758372352 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 3735678383849771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 3735678383849771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal 3735678383849771/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(if (<=.f64 y #s(literal 6806532648539837/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 6806532648539837/31658291388557380359744322690514840324496812684955115509000071179890844813636078997800499335839109758668501942530065835436974724391264154875845907853042325493325666835033489408 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (.f64 (-.f64 x y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal 3047300495896979/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 3047300495896979/129672361527531029953512745740348785969138944757576153124864291552832900356653379574990845279596993571506183956603149661949848471106617978371464838566061365220661931356297172615168 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 (/.f64 x y) #s(literal 1 binary64)) y)))
(if (<=.f64 y #s(literal 8402769026984011/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672 binary64)) #s(literal 1 binary64) (/.f64 (-.f64 x y) y))
(if (<=.f64 y #s(literal 7635108646741027/33196124551047943668099262909529289208099569857939495199965258637525222491303265171197656391576830354305583092890406313459161208603294202463094998672911709496489454427212076189483008 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.2s (12.7%)

Memory

1.3MiB live, 837.1MiB allocated

Rules

898×	`log1p-expm1-u`
873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
768×	`fma-define`
675×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	287
1	298	244
2	4091	244
0	36	465
1	124	465
2	359	441
3	1036	441
4	3098	441
5	6362	441
6	7040	441
7	7490	441
8	7824	441
9	7892	441
0	23	402
1	425	354
2	6573	354
0	25	375
1	490	357
0	1429	32601
1	4241	29803

Stop Event

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

Compiler

Compiled 896 to 224 computations (75% saved)

preprocess100.0ms (1.1%)

Memory

-10.9MiB live, 205.3MiB allocated

Remove

(abs y)

(abs x)

Compiler

Compiled 924 to 254 computations (72.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze5.0ms (0.1%)

sample1.1s (12.1%)

preprocess189.0ms (2%)

explain211.0ms (2.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify126.0ms (1.3%)

localize50.0ms (0.5%)

series20.0ms (0.2%)

rewrite401.0ms (4.3%)

simplify492.0ms (5.3%)

eval175.0ms (1.9%)

prune131.0ms (1.4%)

simplify82.0ms (0.9%)

localize132.0ms (1.4%)

series40.0ms (0.4%)

rewrite243.0ms (2.6%)

simplify341.0ms (3.7%)

eval536.0ms (5.7%)

prune280.0ms (3%)

simplify73.0ms (0.8%)

localize92.0ms (1%)

series30.0ms (0.3%)

rewrite127.0ms (1.4%)

simplify281.0ms (3%)

eval537.0ms (5.8%)

prune278.0ms (3%)

simplify77.0ms (0.8%)

localize112.0ms (1.2%)

series50.0ms (0.5%)

rewrite204.0ms (2.2%)

simplify421.0ms (4.5%)

eval460.0ms (4.9%)

prune384.0ms (4.1%)

regimes36.0ms (0.4%)

regimes31.0ms (0.3%)

regimes9.0ms (0.1%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

regimes6.0ms (0.1%)

regimes41.0ms (0.4%)

regimes4.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch12.0ms (0.1%)

bsearch16.0ms (0.2%)

bsearch15.0ms (0.2%)

bsearch14.0ms (0.1%)

simplify84.0ms (0.9%)

soundness1.2s (12.7%)

preprocess100.0ms (1.1%)

end0.0ms (0%)

Profiling