Metrics for Kahan p9 Example

analyze8.0ms (0.1%)

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 28 to 17 computations (39.3% saved)

Precisions

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

Operation ival-mult, time spent: 2.0ms, 52.0% of total-time

Operation ival-add, time spent: 1.0ms, 26.0% of total-time

Operation ival-<, time spent: 1.0ms, 26.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-and, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

sample2.1s (21.4%)

Results

2.0s	8255×	256	valid
0.0ms	1×	256	valid

Precisions

Click to see histograms. Total time spent on operations: 975.0ms

Operation ival-mult, time spent: 359.0ms, 37.0% of total-time

Operation ival-<, time spent: 232.0ms, 24.0% of total-time

Operation ival-add, time spent: 150.0ms, 15.0% of total-time

Operation ival-div, time spent: 103.0ms, 11.0% of total-time

Operation ival-sub, time spent: 92.0ms, 9.0% of total-time

Operation ival-and, time spent: 21.0ms, 2.0% of total-time

Operation const, time spent: 17.0ms, 2.0% of total-time

Bogosity

preprocess284.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1350×	`fma-neg`
1010×	`times-frac`
996×	`fma-define`
894×	`associate-+r+`
820×	`sub-neg`

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
84	-	2	(1.5792535652775682e-157 3.6300618442197455e-158)	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
0	-	0	-	`x`
0	-	0	-	`(*.f64 y y)`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`(-.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 y y))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`(*.f64 (-.f64 x y) (+.f64 x y))`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	465
1	124	465
2	359	441
3	1034	441
4	3108	441
5	6376	441
6	7046	441
7	7496	441
8	7830	441
9	7898	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 y x) (/.f64 (-.f64 (neg.f64 x) y) (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 y x) (/.f64 (-.f64 (neg.f64 x) y) (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 y x) (/.f64 (-.f64 (neg.f64 x) y) (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)

Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-mult, time spent: 11.0ms, 41.0% of total-time

Operation ival-add, time spent: 7.0ms, 26.0% of total-time

Operation ival-sub, time spent: 5.0ms, 19.0% of total-time

Operation ival-div, time spent: 4.0ms, 15.0% of total-time

Operation const, time spent: 1.0ms, 4.0% of total-time

eval2.0ms (0%)

Compiler: Compiled 30 to 12 computations (60% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	68.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

localize70.0ms (0.7%)

Localize:

Found 3 expressions with local error:

New	Accuracy	Program
✓	68.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	99.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	69.1%	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))

Compiler

Compiled 87 to 13 computations (85.1% saved)

Precisions

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

Operation ival-mult, time spent: 10.0ms, 40.0% of total-time

Operation composed, time spent: 4.0ms, 16.0% of total-time

Operation ival-div, time spent: 4.0ms, 16.0% of total-time

Operation ival-add, time spent: 4.0ms, 16.0% of total-time

Operation ival-sub, time spent: 2.0ms, 8.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series17.0ms (0.2%)

Counts

3 → 72

Calls

Call 1

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

Inputs

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

Outputs
#<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 #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 #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))>

Calls

18 calls:

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

rewrite251.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1332×	`fma-define`
873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
546×	`fma-neg`
206×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	162
1	298	135
2	4086	135

Stop Event

1×	node limit

Counts

3 → 150

Calls

Call 1

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

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

simplify165.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

828×	`div-sub`
492×	`neg-sub0`
482×	`fma-neg`
476×	`*-commutative`
436×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	513	12234
1	1483	10960
2	5686	10894

Stop Event

1×	node limit

Counts

222 → 260

Calls

Call 1

Inputs
(/.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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#s(literal 1 binary64)
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#s(literal -1 binary64)
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(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 (+.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 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 (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)))

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

eval104.0ms (1%)

Compiler: Compiled 5437 to 3117 computations (42.7% saved)

prune45.0ms (0.5%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	251	9	260
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	251	11	262

Accuracy

100.0%

Counts

262 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	36.3%	(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y x) (/.f64 (pow.f64 y #s(literal 2 binary64)) x)) x))
▶	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	99.0%	(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (-.f64 x y)))
✓	68.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
▶	36.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	66.5%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	36.0%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))
▶	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
	34.5%	#s(literal 1 binary64)
▶	65.4%	#s(literal -1 binary64)

Compiler

Compiled 265 to 147 computations (44.5% saved)

localize138.0ms (1.4%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 #s(literal 1 binary64) (hypot.f64 x y))
✓	100.0%	(*.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	100.0%	(/.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))))
✓	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓	92.9%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) x))
✓	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Compiler

Compiled 146 to 37 computations (74.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

Operation ival-div, time spent: 21.0ms, 36.0% of total-time

Operation ival-mult, time spent: 14.0ms, 24.0% of total-time

Operation composed, time spent: 10.0ms, 17.0% of total-time

Operation ival-add, time spent: 7.0ms, 12.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 5.0% of total-time

Operation ival-sub, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series37.0ms (0.4%)

Counts

10 → 237

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

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))>
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#<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 #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x y))>
#<alt (+.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))))>
#<alt (+.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))))>
#<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 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 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 y x))))>
#<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 #s(literal -1/2 binary64) (/.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 1/2 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))>
#<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 -1/2 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 -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))))>
#<alt #s(literal 1 binary64)>
#<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))>
#<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 (/.f64 #s(literal 1 binary64) y)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) y))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 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)))) (pow.f64 x #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 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)))) (pow.f64 x #s(literal 4 binary64)))) (+.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))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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)))) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 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)))) (pow.f64 x #s(literal 4 binary64)))) (+.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))) (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.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 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (+.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -5/16 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 7 binary64)))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1 binary64) x))>
#<alt (/.f64 #s(literal 1 binary64) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.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 #s(literal 1 binary64) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64)))))) y))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 y #s(literal 4 binary64)))) (+.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 y #s(literal 2 binary64))))))) y))>

Calls

60 calls:

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

rewrite245.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`log1p-expm1-u`
410×	`frac-times`
354×	`associate-r`
244×	`associate-l`
232×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	391
1	424	343
2	6564	343

Stop Event

1×	node limit

Counts

10 → 451

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

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)))
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(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)))

simplify280.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate-r`
988×	`times-frac`
968×	`fma-define`
774×	`distribute-lft-in`
742×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1185	33064
1	3282	29575

Stop Event

1×	node limit

Counts

688 → 661

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

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

eval253.0ms (2.6%)

Compiler: Compiled 16196 to 7479 computations (53.8% saved)

prune139.0ms (1.4%)

Pruning

15 alts after pruning (10 fresh and 5 done)

	Pruned	Kept	Total
New	752	8	760
Fresh	2	2	4
Picked	2	3	5
Done	0	2	2
Total	756	15	771

Accuracy

100.0%

Counts

771 → 15

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)))
▶	100.0%	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
	36.1%	(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
	36.1%	(/.f64 (-.f64 x y) x)
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	36.1%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶	36.7%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
	67.2%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	68.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
▶	66.5%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) 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))))
	35.0%	(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
▶	34.5%	#s(literal 1 binary64)
✓	65.4%	#s(literal -1 binary64)

Compiler

Compiled 320 to 184 computations (42.5% saved)

localize163.0ms (1.6%)

Localize:

Found 10 expressions with local error:

New	Accuracy	Program
	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	99.9%	(/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	99.8%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
✓	89.6%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
✓	100.0%	(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	100.0%	(/.f64 (hypot.f64 x y) (-.f64 x y))
	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))

Compiler

Compiled 160 to 45 computations (71.9% saved)

Precisions

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

Operation ival-div, time spent: 21.0ms, 32.0% of total-time

Operation ival-add, time spent: 15.0ms, 23.0% of total-time

Operation ival-mult, time spent: 14.0ms, 21.0% of total-time

Operation composed, time spent: 10.0ms, 15.0% of total-time

Operation ival-sub, time spent: 2.0ms, 3.0% of total-time

Operation ival-sqrt, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series30.0ms (0.3%)

Counts

8 → 189

Calls

Call 1

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

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

Calls

48 calls:

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

rewrite119.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

392×	`frac-times`
382×	`associate-r`
352×	`times-frac`
284×	`associate-l`
226×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	362
1	489	338

Stop Event

1×	node limit

Counts

8 → 343

Calls

Call 1

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

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

simplify252.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1226×	`fma-define`
978×	`times-frac`
848×	`distribute-lft-in`
820×	`distribute-rgt-in`
688×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1273	30451
1	3701	27757

Stop Event

1×	node limit

Counts

532 → 686

Calls

Call 1

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

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

eval305.0ms (3.1%)

Compiler: Compiled 19065 to 9404 computations (50.7% saved)

prune161.0ms (1.6%)

Pruning

16 alts after pruning (10 fresh and 6 done)

	Pruned	Kept	Total
New	869	7	876
Fresh	2	3	5
Picked	3	2	5
Done	1	4	5
Total	875	16	891

Accuracy

100.0%

Counts

891 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #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)))
	36.1%	(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
	36.1%	(/.f64 (-.f64 x y) x)
▶	67.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	36.7%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (hypot.f64 x y))
▶	66.7%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
▶	3.0%	(/.f64 y x)
▶	36.0%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	68.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
▶	99.7%	(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)))
	35.0%	(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
✓	34.5%	#s(literal 1 binary64)
✓	65.4%	#s(literal -1 binary64)

Compiler

Compiled 313 to 187 computations (40.3% saved)

localize175.0ms (1.8%)

Localize:

Found 9 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
	100.0%	(/.f64 (hypot.f64 x y) (-.f64 x y))
	99.8%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	99.7%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	99.9%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
✓	99.8%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y))
	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	99.7%	(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)))

Compiler

Compiled 162 to 42 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 69.0ms

Operation ival-mult, time spent: 19.0ms, 27.0% of total-time

Operation ival-div, time spent: 17.0ms, 24.0% of total-time

Operation ival-add, time spent: 14.0ms, 20.0% of total-time

Operation composed, time spent: 13.0ms, 19.0% of total-time

Operation ival-sqrt, time spent: 3.0ms, 4.0% of total-time

Operation ival-sub, time spent: 2.0ms, 3.0% of total-time

Operation const, time spent: 2.0ms, 3.0% of total-time

series20.0ms (0.2%)

Counts

6 → 144

Calls

Call 1

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

Calls

36 calls:

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

rewrite110.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`associate-r`
360×	`frac-times`
310×	`times-frac`
290×	`associate-l`
222×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	300
1	481	270

Stop Event

1×	node limit

Counts

6 → 273

Calls

Call 1

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

simplify226.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1016×	`fma-define`
952×	`associate-r`
890×	`distribute-lft-in`
852×	`distribute-rgt-in`
622×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1051	24748
1	3081	21396

Stop Event

1×	node limit

Counts

417 → 560

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

eval726.0ms (7.3%)

Compiler: Compiled 17039 to 8528 computations (50% saved)

prune287.0ms (2.9%)

Pruning

22 alts after pruning (12 fresh and 10 done)

	Pruned	Kept	Total
New	811	7	818
Fresh	0	5	5
Picked	1	4	5
Done	0	6	6
Total	812	22	834

Accuracy

100.0%

Counts

834 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.4%	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
	66.9%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #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)))
	36.1%	(/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
	36.1%	(/.f64 (-.f64 x y) x)
✓	67.2%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	67.8%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	36.7%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (hypot.f64 x y))
✓	66.7%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y)
✓	3.0%	(/.f64 y x)
	36.1%	(.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 x (-.f64 y (.f64 (-.f64 x y) (/.f64 y x)))))
	34.4%	(*.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	68.1%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	99.7%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y))))
✓	99.7%	(*.f64 (+.f64 x y) (/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)))
	35.8%	(*.f64 (+.f64 x y) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (pow.f64 (/.f64 y x) #s(literal 2 binary64))) x))
	36.6%	(*.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (hypot.f64 x y)))
	36.0%	(*.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	66.4%	(*.f64 (+.f64 x y) (/.f64 (+.f64 (/.f64 x y) (+.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))) y))
	35.0%	(log.f64 (exp.f64 (/.f64 (-.f64 x y) x)))
✓	34.5%	#s(literal 1 binary64)
✓	65.4%	#s(literal -1 binary64)

Compiler

Compiled 662 to 295 computations (55.4% saved)

regimes115.0ms (1.2%)

Counts

33 → 1

Calls

Call 1

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

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

Calls

3 calls:

91.0ms	x
17.0ms	y
5.0ms	(/.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)

regimes94.0ms (0.9%)

Counts

29 → 1

Calls

Call 1

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

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

Calls

3 calls:

71.0ms	y
16.0ms	x
3.0ms	(/.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)

regimes37.0ms (0.4%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	x
16.0ms	y
3.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`y`
99.7%	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)

regimes109.0ms (1.1%)

Counts

27 → 3

Calls

Call 1

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

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

Calls

3 calls:

61.0ms	x
41.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.8%	4	`x`
92.2%	3	`y`
90.6%	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)

regimes102.0ms (1%)

Counts

25 → 3

Calls

Call 1

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

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

Calls

1 calls:

100.0ms

Results

Accuracy	Segments	Branch
92.2%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes183.0ms (1.8%)

Counts

17 → 2

Calls

Call 1

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

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

2 calls:

177.0ms	y
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
90.6%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`
92.1%	3	`y`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes33.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

2 calls:

27.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
92.1%	3	`y`
90.5%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 20 to 11 computations (45% saved)

regimes28.0ms (0.3%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

1 calls:

26.0ms

Results

Accuracy	Segments	Branch
92.1%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes86.0ms (0.9%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

84.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes17.0ms (0.2%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
86.0%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(*.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 x y))) y)

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
85.9%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

9 → 2

Calls

Call 1

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

12.0ms

Results

Accuracy	Segments	Branch
85.8%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

7 → 2

Calls

Call 1

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
85.4%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

6 → 2

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Accuracy	Segments	Branch
85.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

8.0ms

Results

Accuracy	Segments	Branch
85.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

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:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
65.4%	1	`x`
65.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch28.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	4.783757762986562e-39	1.4358798539247982e-37
20.0ms	1.9303585453638054e-163	3.811560717720512e-159

Results

24.0ms	175×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 320 to 207 computations (35.3% saved)

Precisions

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

Operation ival-mult, time spent: 4.0ms, 46.0% of total-time

Operation ival-add, time spent: 2.0ms, 23.0% of total-time

Operation ival-sub, time spent: 1.0ms, 11.0% of total-time

Operation ival-div, time spent: 1.0ms, 11.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.783757762986562e-39	1.4358798539247982e-37
20.0ms	1.9303585453638054e-163	3.811560717720512e-159

Results

27.0ms	207×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 404 to 243 computations (39.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-mult, time spent: 4.0ms, 39.0% of total-time

Operation ival-sub, time spent: 2.0ms, 20.0% of total-time

Operation ival-div, time spent: 2.0ms, 20.0% of total-time

Operation ival-add, time spent: 2.0ms, 20.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	1.0	NaN

Compiler

Compiled 22 to 13 computations (40.9% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	4.783757762986562e-39	1.4358798539247982e-37
21.0ms	1.9303585453638054e-163	3.811560717720512e-159

Results

34.0ms	239×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 448 to 271 computations (39.5% saved)

Precisions

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

Operation ival-mult, time spent: 6.0ms, 44.0% of total-time

Operation ival-div, time spent: 3.0ms, 22.0% of total-time

Operation ival-add, time spent: 3.0ms, 22.0% of total-time

Operation ival-sub, time spent: 2.0ms, 15.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch34.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	predicate-same
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	4.783757762986562e-39	1.4358798539247982e-37
19.0ms	1.9303585453638054e-163	3.811560717720512e-159

Results

29.0ms	207×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 404 to 251 computations (37.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

Operation ival-mult, time spent: 4.0ms, 40.0% of total-time

Operation ival-div, time spent: 2.0ms, 20.0% of total-time

Operation ival-add, time spent: 2.0ms, 20.0% of total-time

Operation ival-sub, time spent: 1.0ms, 10.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

9.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 142 to 93 computations (34.5% saved)

Precisions

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

Operation ival-sub, time spent: 1.0ms, 27.0% of total-time

Operation ival-add, time spent: 1.0ms, 27.0% of total-time

Operation ival-mult, time spent: 1.0ms, 27.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

8.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 134 to 85 computations (36.6% saved)

Precisions

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

Operation ival-add, time spent: 1.0ms, 33.0% of total-time

Operation ival-mult, time spent: 1.0ms, 33.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch11.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

9.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 134 to 85 computations (36.6% saved)

Precisions

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

Operation ival-add, time spent: 2.0ms, 47.0% of total-time

Operation ival-div, time spent: 1.0ms, 24.0% of total-time

Operation ival-mult, time spent: 1.0ms, 24.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch100.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
99.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

98.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 134 to 85 computations (36.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 93.0ms

Operation ival-add, time spent: 90.0ms, 97.0% of total-time

Operation ival-mult, time spent: 1.0ms, 1.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch10.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

8.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 94 to 65 computations (30.9% saved)

Precisions

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

Operation ival-sub, time spent: 1.0ms, 32.0% of total-time

Operation ival-add, time spent: 1.0ms, 32.0% of total-time

Operation ival-mult, time spent: 1.0ms, 32.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch41.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
41.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

39.0ms	63×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 70 to 49 computations (30% saved)

Precisions

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

Operation ival-div, time spent: 1.0ms, 33.0% of total-time

Operation ival-add, time spent: 1.0ms, 33.0% of total-time

Operation ival-mult, time spent: 1.0ms, 33.0% of total-time

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch3.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	2.1936835669818529e-178	4.0051733658494635e-178

Results

2.0ms	15×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 30 to 21 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-div, time spent: 0.0ms, 0.0% of total-time

Operation ival-add, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

26×	`*-commutative`
18×	`+-commutative`
10×	`sub-neg`
6×	`neg-sub0`
6×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	89	1486
1	113	1486
2	122	1486
3	128	1486
4	132	1486
5	133	1486

Stop Event

1×	fuel
1×	saturated

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) (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)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y 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) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (hypot.f64 x y))) (if (<=.f64 y #s(literal 838083498911033/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6752412114080849/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 2646215558220873/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 5109933491736859/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 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 x y))) y))
(if (<=.f64 y #s(literal 2737464370573317/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 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 8759885985834615/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (*.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 912488123524439/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 (-.f64 x y) x) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 912488123524439/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (/.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 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)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 4789048565205903/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 y x))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 (/.f64 y x) #s(literal 1 binary64))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y 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) (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 #s(literal 1 binary64) (/.f64 x y))))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (hypot.f64 x y))) (if (<=.f64 y #s(literal 838083498911033/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (hypot.f64 x y))) (if (<=.f64 y #s(literal 838083498911033/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6483618076376551/4052261297735344686047273304385899561535592023674254785152009111026028136145418111718463914987406049109568248643848426935932764722081811824108276205189417663145685354884286644224 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) (if (<=.f64 y #s(literal 5746858278247083/47890485652059026823698344598447161988085597568237568 binary64)) (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal -1 binary64)))
(if (<=.f64 y #s(literal 6752412114080849/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 6752412114080849/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 x (.f64 (-.f64 x y) (+.f64 (/.f64 y x) #s(literal 1 binary64))))) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 2646215558220873/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (/.f64 (-.f64 x y) (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 2646215558220873/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 binary64)) (/.f64 (-.f64 x y) (/.f64 x (+.f64 (/.f64 y x) #s(literal 1 binary64)))) (/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 x y))) y))
(if (<=.f64 y #s(literal 5109933491736859/18249762470488780874564686422801165299572914028994239722316770071597100668834709546023651245269485599114569238294377629242754818885501751993010645278888856753007978697441059800331496768986415104 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 x y))) y))
(if (<=.f64 y #s(literal 2737464370573317/9124881235244390437282343211400582649786457014497119861158385035798550334417354773011825622634742799557284619147188814621377409442750875996505322639444428376503989348720529900165748384493207552 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 8759885985834615/36499524940977561749129372845602330599145828057988479444633540143194201337669419092047302490538971198229138476588755258485509637771003503986021290557777713506015957394882119600662993537972830208 binary64)) (*.f64 (+.f64 x y) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 912488123524439/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) (/.f64 (-.f64 x y) x) #s(literal -1 binary64))
(if (<=.f64 y #s(literal 912488123524439/2281220308811097609320585802850145662446614253624279965289596258949637583604338693252956405658685699889321154786797203655344352360687718999126330659861107094125997337180132475041437096123301888 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Compiler

Compiled 405 to 229 computations (43.5% saved)

soundness1.7s (17.3%)

Rules

1350×	`fma-neg`
1332×	`fma-define`
1226×	`fma-define`
1144×	`associate-r`
1030×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	465
1	124	465
2	359	441
3	1034	441
4	3108	441
5	6376	441
6	7046	441
7	7496	441
8	7830	441
9	7898	441
0	1051	24748
1	3081	21396
0	1185	33064
1	3282	29575
0	1273	30451
1	3701	27757
0	25	362
1	489	338
0	23	391
1	424	343
2	6564	343
0	18	162
1	298	135
2	4086	135

Stop Event

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

Compiler

Compiled 642 to 246 computations (61.7% saved)

end1.0ms (0%)

preprocess191.0ms (1.9%)

Remove: (abs x)
Compiler: Compiled 1382 to 578 computations (58.2% saved)

analyze8.0ms (0.1%)

sample2.1s (21.4%)

preprocess284.0ms (2.9%)

eval2.0ms (0%)

prune1.0ms (0%)

localize70.0ms (0.7%)

series17.0ms (0.2%)

rewrite251.0ms (2.5%)

simplify165.0ms (1.7%)

eval104.0ms (1%)

prune45.0ms (0.5%)

localize138.0ms (1.4%)

series37.0ms (0.4%)

rewrite245.0ms (2.5%)

simplify280.0ms (2.8%)

eval253.0ms (2.6%)

prune139.0ms (1.4%)

localize163.0ms (1.6%)

series30.0ms (0.3%)

rewrite119.0ms (1.2%)

simplify252.0ms (2.6%)

eval305.0ms (3.1%)

prune161.0ms (1.6%)

localize175.0ms (1.8%)

series20.0ms (0.2%)

rewrite110.0ms (1.1%)

simplify226.0ms (2.3%)

eval726.0ms (7.3%)

prune287.0ms (2.9%)

regimes115.0ms (1.2%)

regimes94.0ms (0.9%)

regimes37.0ms (0.4%)

regimes109.0ms (1.1%)

regimes102.0ms (1%)

regimes183.0ms (1.8%)

regimes33.0ms (0.3%)

regimes28.0ms (0.3%)

regimes86.0ms (0.9%)

regimes17.0ms (0.2%)

regimes14.0ms (0.1%)

regimes13.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.3%)

bsearch33.0ms (0.3%)

bsearch0.0ms (0%)

bsearch39.0ms (0.4%)

bsearch34.0ms (0.3%)

bsearch10.0ms (0.1%)

bsearch10.0ms (0.1%)

bsearch11.0ms (0.1%)

bsearch100.0ms (1%)

bsearch10.0ms (0.1%)

bsearch41.0ms (0.4%)

bsearch3.0ms (0%)

simplify66.0ms (0.7%)

soundness1.7s (17.3%)

end1.0ms (0%)

preprocess191.0ms (1.9%)

Profiling