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: 5.0ms

ival-mult: 3.0ms (65.8% of total)

ival-add: 1.0ms (21.9% of total)

ival-<: 1.0ms (21.9% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample1.9s (14.2%)

Results

1.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.1s

ival-mult: 364.0ms (34.4% of total)

ival-add: 279.0ms (26.4% of total)

ival-<: 244.0ms (23.1% of total)

ival-div: 72.0ms (6.8% of total)

ival-sub: 64.0ms (6.1% of total)

ival-and: 17.0ms (1.6% of total)

const: 14.0ms (1.3% of total)

backward-pass: 3.0ms (0.3% of total)

Bogosity

preprocess190.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

675×	`fma-neg`
505×	`times-frac`
498×	`fma-define`
447×	`associate-+r+`
410×	`sub-neg`

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)

explain122.0ms (0.9%)

FPErrors

Click to see full error table

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

Results

80.0ms

512×

valid

Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.5% of total)

ival-add: 5.0ms (22.2% of total)

ival-div: 4.0ms (17.8% of total)

ival-sub: 3.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	70.2%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

localize329.0ms (2.4%)

Algorithm

2×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 y y)
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(fma.f64 y y (*.f64 x x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))
✓	cost-diff	0	(-.f64 x y)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	70.3%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	99.8%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	accuracy	71.2%	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))

Rules

604×	`sub-neg`
558×	`sub-neg`
556×	`fma-define`
507×	`unsub-neg`
451×	`fma-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	182
1	23	182
2	45	182
3	103	182
4	241	182
5	531	182
6	1149	182
7	2738	182
8	4476	182
9	6928	182
10	7608	182
11	7969	182
0	14	181
1	30	181
2	60	181
3	134	181
4	301	181
5	712	181
6	1656	181
7	3831	181
8	6014	181
9	7556	181

Stop Event

1×	node limit
1×	node limit

Calls

Call 1

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

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

Call 2

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

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

Results

49.0ms

256×

valid

Compiler

Compiled 87 to 13 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 12.0ms (52.2% of total)

ival-div: 3.0ms (13.1% of total)

ival-add: 3.0ms (13.1% of total)

ival-fma: 3.0ms (13.1% of total)

ival-sub: 2.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

series26.0ms (0.2%)

Counts

9 → 183

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

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)))))))>
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Calls

48 calls:

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

rewrite464.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	263
1	298	225
2	4086	225

Stop Event

1×	node limit

Counts

9 → 506

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

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

simplify416.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1116	30355
1	2858	26700

Stop Event

1×	node limit

Counts

689 → 757

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

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

eval528.0ms (3.9%)

Compiler: Compiled 22028 to 8638 computations (60.8% saved)

prune234.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	954	7	961
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	955	8	963

Accuracy

100.0%

Counts

963 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	98.9%	(*.f64 (-.f64 x y) (pow.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) #s(literal 2 binary64)))
	33.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
▶	69.7%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	69.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
▶	31.1%	#s(literal 1 binary64)
▶	68.9%	#s(literal -1 binary64)

Compiler

Compiled 165 to 101 computations (38.8% saved)

localize411.0ms (3%)

Algorithm

5×	egg-herbie

Localize:

Found 22 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
✓	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	6400	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
✓	accuracy	90.6%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) y)
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) y))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	99.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Rules

732×	`fma-neg`
720×	`times-frac`
609×	`unsub-neg`
598×	`fma-define`
468×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	176
1	29	176
2	55	176
3	128	172
4	337	172
5	922	172
6	2447	172
7	5166	172
8	7585	172
0	1	1
0	1	1
1	8	1
0	11	60
1	22	54
2	35	54
3	77	51
4	156	51
5	212	51
6	328	51
7	463	51
8	768	51
9	890	51
10	893	51
0	13	128
1	25	128
2	45	128
3	110	128
4	296	125
5	852	119
6	2499	115
7	6371	115

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Call 3

Inputs
#s(literal 1 binary64)

Outputs
#s(literal 1 binary64)

Call 4

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Call 5

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

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

Results

55.0ms

256×

valid

Compiler

Compiled 93 to 28 computations (69.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-div: 12.0ms (38.4% of total)

ival-add: 7.0ms (22.4% of total)

ival-mult: 5.0ms (16% of total)

ival-hypot: 5.0ms (16% of total)

ival-sub: 2.0ms (6.4% of total)

const: 1.0ms (3.2% of total)

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

series32.0ms (0.2%)

Counts

10 → 180

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

Calls

57 calls:

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

rewrite308.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1297×	`log1p-expm1-u`
302×	`expm1-log1p-u`
163×	`add-cube-cbrt`
161×	`add-exp-log`
161×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	280
1	355	262
2	5719	262

Stop Event

1×	node limit

Counts

10 → 352

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

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

simplify201.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

694×	`associate-r`
647×	`times-frac`
520×	`fma-define`
336×	`distribute-lft-in`
322×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1084	20014
1	2871	18138

Stop Event

1×	node limit

Counts

532 → 640

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

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

eval349.0ms (2.6%)

Compiler: Compiled 23651 to 10364 computations (56.2% saved)

prune328.0ms (2.4%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	1142	10	1152
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1145	15	1160

Accuracy

100.0%

Counts

1160 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
▶	69.8%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
▶	100.0%	(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
▶	69.9%	(/.f64 (-.f64 x y) y)
	100.0%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	70.4%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) y))
▶	33.8%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	70.4%	(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	33.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	69.7%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	69.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	56.0%	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
✓	31.1%	#s(literal 1 binary64)
✓	68.9%	#s(literal -1 binary64)

Compiler

Compiled 344 to 203 computations (41% saved)

localize491.0ms (3.6%)

Algorithm

5×	egg-herbie

Localize:

Found 36 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(+.f64 x y)
	cost-diff	0	(/.f64 (+.f64 x y) (hypot.f64 x y))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) x)
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	256	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	384	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	cost-diff	0	(/.f64 x y)
	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (-.f64 x y) y)
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	6400	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	cost-diff	6400	(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) x)
	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
✓	accuracy	90.6%	(.f64 (.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
✓	accuracy	86.8%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.9%	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	accuracy	91.8%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) y)
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
✓	accuracy	100.0%	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (+.f64 x y))

Rules

955×	`fma-neg`
870×	`fma-neg`
607×	`fma-define`
582×	`div-sub`
556×	`fma-define`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	194
1	29	186
2	59	186
3	144	186
4	453	186
5	1309	186
6	3578	186
7	7461	186
0	9	43
1	15	40
2	24	40
3	37	40
4	52	40
5	74	40
6	127	40
7	205	40
8	366	40
9	705	40
10	900	40
11	1025	40
12	1057	40
13	1062	40
0	13	128
1	27	128
2	48	125
3	125	125
4	310	125
5	1066	115
6	4233	115
7	7456	115
0	15	190
1	30	190
2	66	190
3	206	189
4	702	160
5	2338	151
6	5240	151
0	13	158
1	29	152
2	57	152
3	141	152
4	335	152
5	1229	146
6	3327	146

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

Inputs
(/.f64 (-.f64 x y) y)
(-.f64 x y)
x
y

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

Call 5

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

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

Results

94.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 173 to 43 computations (75.1% saved)

Precisions

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

ival-div: 26.0ms (45% of total)

ival-add: 10.0ms (17.3% of total)

ival-mult: 9.0ms (15.6% of total)

ival-sub: 6.0ms (10.4% of total)

ival-hypot: 5.0ms (8.7% of total)

const: 1.0ms (1.7% of total)

backward-pass: 1.0ms (1.7% of total)

series44.0ms (0.3%)

Counts

12 → 264

Calls

Call 1

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

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

Calls

72 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(/ (- x y) x)
2.0ms	y	@	0	(/ (- x y) (/ y (+ 1 (/ x y))))
1.0ms	y	@	inf	(* (/ (- x y) x) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
1.0ms	y	@	0	(* (/ (- x y) x) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
1.0ms	y	@	-inf	(* (* x (- 1 (/ y x))) (/ (+ 1 (/ x y)) y))

rewrite141.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

244×	`log1p-expm1-u`
244×	`expm1-log1p-u`
243×	`add-cube-cbrt`
241×	`add-exp-log`
241×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	447
1	530	405

Stop Event

1×	node limit

Counts

12 → 417

Calls

Call 1

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

simplify482.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

690×	`fma-define`
442×	`distribute-lft-in`
405×	`distribute-rgt-in`
382×	`*-commutative`
226×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1367	29167
1	3916	26938

Stop Event

1×	node limit

Counts

681 → 742

Calls

Call 1

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

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

eval594.0ms (4.4%)

Compiler: Compiled 40625 to 18626 computations (54.2% saved)

prune702.0ms (5.2%)

Pruning

15 alts after pruning (8 fresh and 7 done)

	Pruned	Kept	Total
New	1913	5	1918
Fresh	3	3	6
Picked	2	3	5
Done	0	4	4
Total	1918	15	1933

Accuracy

100.0%

Counts

1933 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.1%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	69.8%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
▶	70.4%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
▶	70.5%	(/.f64 (-.f64 x y) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
	33.8%	(/.f64 (-.f64 x y) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
✓	100.0%	(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
	70.4%	(/.f64 (-.f64 x y) (*.f64 y (/.f64 (hypot.f64 x y) (+.f64 x y))))
✓	69.9%	(/.f64 (-.f64 x y) y)
▶	100.0%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	33.1%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x))
✓	69.7%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	69.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	31.1%	#s(literal 1 binary64)
✓	68.9%	#s(literal -1 binary64)

Compiler

Compiled 311 to 187 computations (39.9% saved)

localize544.0ms (4%)

Algorithm

5×	egg-herbie

Localize:

Found 38 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
✓	cost-diff	0	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	cost-diff	-6272	(.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 x y))
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	0	(*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(/.f64 (-.f64 x y) x)
✓	cost-diff	128	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x))
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(+.f64 x y)
✓	cost-diff	6400	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	cost-diff	6400	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	accuracy	100.0%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
	accuracy	100.0%	(/.f64 x y)
✓	accuracy	99.6%	(pow.f64 (/.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 x y))
✓	accuracy	99.9%	(/.f64 (-.f64 x y) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
✓	accuracy	99.8%	(.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))
✓	accuracy	99.9%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
✓	accuracy	99.8%	(*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))
	accuracy	100.0%	(+.f64 x y)
	accuracy	100.0%	(/.f64 (-.f64 x y) x)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	99.8%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
✓	accuracy	100.0%	(*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y)))
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (-.f64 x y))

Rules

1073×	`fma-define`
912×	`fma-define`
765×	`fma-neg`
547×	`div-sub`
526×	`unsub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	194
1	26	186
2	41	186
3	76	186
4	140	186
5	340	186
6	930	186
7	2044	186
8	4272	186
9	7514	186
0	12	127
1	24	121
2	48	121
3	126	121
4	315	121
5	1213	112
6	4287	109
7	7927	109
0	14	174
1	30	166
2	45	166
3	78	166
4	130	166
5	265	166
6	684	166
7	1402	166
8	2131	166
9	2542	166
10	2602	166
11	2683	166
0	16	202
1	37	194
2	54	194
3	97	194
4	169	194
5	352	194
6	1024	194
7	2306	194
8	3390	194
9	4026	194
10	4095	194
11	4176	194
12	4176	194
0	13	69
1	16	69
2	24	69
3	45	69
4	67	69
5	86	69
6	102	69
7	109	69
8	110	69

Stop Event

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

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Results

115.0ms

256×

valid

Compiler

Compiled 196 to 63 computations (67.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 24.0ms (32.3% of total)

ival-div: 14.0ms (18.8% of total)

ival-sub: 11.0ms (14.8% of total)

ival-add: 7.0ms (9.4% of total)

ival-hypot: 6.0ms (8.1% of total)

ival-pow: 6.0ms (8.1% of total)

ival-fma: 3.0ms (4% of total)

const: 3.0ms (4% of total)

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

series321.0ms (2.4%)

Counts

15 → 307

Calls

Call 1

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

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

Calls

90 calls:

Time	Variable		Point	Expression
273.0ms	x	@	inf	(/ (- x y) (+ y (* x (- (/ x y) 1))))
5.0ms	x	@	0	(+ (* 2 (pow (/ x y) 2)) -1)
1.0ms	x	@	0	(/ (+ x y) x)
1.0ms	x	@	inf	(/ (- x y) (+ y (* x (- (* 2 (/ x y)) 1))))
1.0ms	x	@	-inf	(/ (- x y) (+ y (* x (- (* 2 (/ x y)) 1))))

rewrite143.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-expm1-u`
278×	`expm1-log1p-u`
277×	`add-cube-cbrt`
275×	`add-log-exp`
274×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	530
1	586	485

Stop Event

1×	node limit

Counts

15 → 392

Calls

Call 1

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

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

simplify275.0ms (2%)

Algorithm

1×	egg-herbie

Rules

861×	`times-frac`
684×	`fma-define`
338×	`*-commutative`
236×	`sub-neg`
189×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1432	30088
1	3868	28140

Stop Event

1×	node limit

Counts

699 → 823

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

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

eval657.0ms (4.9%)

Compiler: Compiled 38208 to 18247 computations (52.2% saved)

prune1.1s (8%)

Pruning

19 alts after pruning (8 fresh and 11 done)

	Pruned	Kept	Total
New	1787	6	1793
Fresh	1	2	3
Picked	1	4	5
Done	0	7	7
Total	1789	19	1808

Accuracy

100.0%

Counts

1808 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.1%	(fma.f64 #s(literal 2 binary64) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
✓	69.8%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	70.4%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
	70.4%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))))
✓	70.5%	(/.f64 (-.f64 x y) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
	33.8%	(/.f64 (-.f64 x y) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
✓	100.0%	(/.f64 (-.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (+.f64 x y))))
✓	69.9%	(/.f64 (-.f64 x y) y)
	69.2%	(/.f64 (+.f64 x y) (+.f64 (.f64 #s(literal -1 binary64) y) (.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)))))
✓	100.0%	(/.f64 (+.f64 x y) (*.f64 (hypot.f64 x y) (/.f64 (hypot.f64 x y) (-.f64 x y))))
	33.1%	(/.f64 (+.f64 x y) (*.f64 (/.f64 x (-.f64 x y)) x))
✓	69.9%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	69.7%	(+.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))))
	70.1%	(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
✓	33.1%	(*.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x))
✓	69.7%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	69.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	31.1%	#s(literal 1 binary64)
✓	68.9%	#s(literal -1 binary64)

Compiler

Compiled 616 to 301 computations (51.1% saved)

regimes26.0ms (0.2%)

Counts

30 → 1

Calls

Call 1

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

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

Calls

3 calls:

11.0ms	x
9.0ms	y
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)

regimes81.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

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

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

Calls

3 calls:

69.0ms	x
8.0ms	y
2.0ms	(/.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)

regimes20.0ms (0.2%)

Counts

27 → 1

Calls

Call 1

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

8.0ms	x
8.0ms	y
2.0ms	(/.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 (0.3%)

Counts

26 → 2

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
14.0ms	x
2.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
84.2%	2	`x`
95.0%	5	`y`
92.4%	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)

regimes2.0ms (0%)

Counts

14 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

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

Results

Accuracy	Segments	Branch
92.4%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes12.0ms (0.1%)

Counts

12 → 4

Calls

Call 1

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

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

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
89.5%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

10 → 4

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
89.4%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes13.0ms (0.1%)

Counts

8 → 4

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Accuracy	Segments	Branch
89.3%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

7 → 4

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
89.3%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

6 → 4

Calls

Call 1

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

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

10.0ms

Results

Accuracy	Segments	Branch
89.3%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes5.0ms (0%)

Counts

5 → 4

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
89.0%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 4

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
88.9%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 4

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
88.8%	4	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

0.0ms	y
0.0ms	x

Results

Accuracy	Segments	Branch
68.9%	1	`x`
68.9%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

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)

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)

bsearch144.0ms (1.1%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	8.793483119515277e-152	1.099449880668005e-148
18.0ms	3.3921075542275784e-187	2.5166169486439368e-186
108.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

129.0ms

352×

valid

Compiler

Compiled 570 to 339 computations (40.5% saved)

Precisions

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

ival-div: 11.0ms (44.9% of total)

ival-mult: 8.0ms (32.6% of total)

ival-add: 4.0ms (16.3% of total)

ival-sub: 2.0ms (8.2% of total)

const: 0.0ms (0% of total)

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

bsearch43.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
14.0ms	8.793483119515277e-152	1.099449880668005e-148
10.0ms	3.3921075542275784e-187	2.5166169486439368e-186
15.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

25.0ms

352×

valid

Compiler

Compiled 554 to 331 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (46% of total)

ival-add: 4.0ms (26.3% of total)

ival-sub: 2.0ms (13.1% of total)

ival-div: 2.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

bsearch171.0ms (1.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
17.0ms	8.793483119515277e-152	1.099449880668005e-148
12.0ms	3.3921075542275784e-187	2.5166169486439368e-186
139.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

30.0ms

352×

valid

Compiler

Compiled 554 to 331 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 7.0ms (34.3% of total)

ival-mult: 7.0ms (34.3% of total)

ival-sub: 4.0ms (19.6% of total)

ival-div: 2.0ms (9.8% of total)

const: 0.0ms (0% of total)

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

bsearch44.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.793483119515277e-152	1.099449880668005e-148
12.0ms	3.3921075542275784e-187	2.5166169486439368e-186
14.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

25.0ms

352×

valid

Compiler

Compiled 554 to 331 computations (40.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (45.7% of total)

ival-add: 4.0ms (26.1% of total)

ival-sub: 2.0ms (13.1% of total)

ival-div: 2.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

bsearch121.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
93.0ms	8.793483119515277e-152	1.099449880668005e-148
12.0ms	3.3921075542275784e-187	2.5166169486439368e-186
13.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

104.0ms

352×

valid

Compiler

Compiled 554 to 353 computations (36.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 6.0ms (39.9% of total)

ival-add: 4.0ms (26.6% of total)

ival-sub: 2.0ms (13.3% of total)

ival-div: 2.0ms (13.3% of total)

const: 0.0ms (0% of total)

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

bsearch118.0ms (0.9%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.793483119515277e-152	1.099449880668005e-148
14.0ms	3.3921075542275784e-187	2.5166169486439368e-186
13.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

29.0ms

352×

valid

Compiler

Compiled 334 to 243 computations (27.2% saved)

Precisions

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

ival-mult: 7.0ms (45% of total)

ival-add: 4.0ms (25.7% of total)

ival-sub: 2.0ms (12.9% of total)

ival-div: 2.0ms (12.9% of total)

const: 0.0ms (0% of total)

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

bsearch81.0ms (0.6%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
13.0ms	8.793483119515277e-152	1.099449880668005e-148
11.0ms	3.3921075542275784e-187	2.5166169486439368e-186
14.0ms	8.795113385229445e-206	6.926519424751564e-203

Results

27.0ms

352×

valid

Compiler

Compiled 286 to 211 computations (26.2% saved)

Precisions

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

ival-mult: 7.0ms (44.6% of total)

ival-add: 4.0ms (25.5% of total)

ival-sub: 2.0ms (12.7% of total)

ival-div: 2.0ms (12.7% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.3%)

Algorithm

3×	binary-search

Stop Event

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

Steps

Time	Left	Right
16.0ms	8.793483119515277e-152	1.099449880668005e-148
10.0ms	3.3921075542275784e-187	2.5166169486439368e-186
9.0ms	7.843172108625738e-202	3.133394631342826e-201

Results

25.0ms

304×

valid

Compiler

Compiled 174 to 165 computations (5.2% saved)

Precisions

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

ival-mult: 9.0ms (54.6% of total)

ival-add: 3.0ms (18.2% of total)

ival-sub: 2.0ms (12.1% of total)

ival-div: 2.0ms (12.1% of total)

const: 0.0ms (0% of total)

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

simplify34.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative`
12×	`+-commutative`
8×	`not-or`
8×	`if-if-or-not`
5×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	1828
1	161	1828
2	174	1828
3	189	1828
4	192	1828
5	194	1828

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (*.f64 (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 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 8295541003705389/353001744838527187118638605275578482918919238981447190585425241357836728795149812488234240124403749621362233187285499572265412108234798868453319136060868263303849511435339515071579009061587940965469669934854316295716864 binary64)) (.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x)) (if (<=.f64 y #s(literal 6858436634920279/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 2395581617318361/921377545122446619199598286374089084696513969828232526459034741270904336521520715841339532514076847544303802497745079321233052888165232576308943909041185557531590656 binary64)) (/.f64 (+.f64 x y) (.f64 (/.f64 x (-.f64 x y)) x)) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))))))
(if (<=.f64 y #s(literal 2206260905240795/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x)) (if (<=.f64 y #s(literal 2571913738095105/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 2948408144391829/1842755090244893238399196572748178169393027939656465052918069482541808673043041431682679065028153695088607604995490158642466105776330465152617887818082371115063181312 binary64)) (/.f64 (+.f64 x y) (.f64 (/.f64 x (-.f64 x y)) x)) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))))
(if (<=.f64 y #s(literal 6530532279512753/353001744838527187118638605275578482918919238981447190585425241357836728795149812488234240124403749621362233187285499572265412108234798868453319136060868263303849511435339515071579009061587940965469669934854316295716864 binary64)) (.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x)) (if (<=.f64 y #s(literal 3331240651246993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 1324480221113517/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 binary64)) (/.f64 (+.f64 x y) (.f64 (/.f64 x (-.f64 x y)) x)) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
(if (<=.f64 y #s(literal 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x)) (if (<=.f64 y #s(literal 5682704640362517/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 316723531135841/14396524142538228424993723224595141948383030778566133225922417832357880258148761185020930195532450742879746914027266864394266451377581759004827248578768524336431104 binary64)) (.f64 (/.f64 (-.f64 x y) x) (/.f64 (+.f64 x y) x)) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
(if (<=.f64 y #s(literal 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)) (if (<=.f64 y #s(literal 4702927978231049/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 8637914485522937/115172193140305827399949785796761135587064246228529065807379342658863042065190089480167441564259605943037975312218134915154131611020654072038617988630148194691448832 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 3000514831127481/44125218104815898389829825659447310364864904872680898823178155169729591099393726561029280015550468702670279148410687446533176513529349858556664892007608532912981188929417439383947376132698492620683708741856789536964608 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 8622034626756923/19595533242629369747791401605606558418088927130487463844933662202465281465266200982457647235235528838735010358900495684567911298014908298340170885513171109743249504533143507682501017145381579984990109696 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 4363644053699907/29484081443918291814387145163970850710288447034503440846689111720668938768688662906922865040450459121417721679927842538279457692421287442441886205089317937841010900992 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))))
(if (<=.f64 y #s(literal 5648027917416435/5648027917416434993898217684409255726702707823703155049366803861725387660722396999811747841990459993941795730996567993156246593731756781895253106176973892212861592182965432241145264144985407055447514718957669060731469824 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 551124372448951/612360413832167804618481300175204950565278972827733245154176943827040045789568780701801476101110276210469073715640490142747228062965884323130340172286597179476547016660734615078156785793174374530940928 binary64)) (/.f64 (-.f64 x y) y) (if (<=.f64 y #s(literal 2506146922733055/14742040721959145907193572581985425355144223517251720423344555860334469384344331453461432520225229560708860839963921269139728846210643721220943102544658968920505450496 binary64)) #s(literal 1 binary64) (/.f64 (-.f64 x y) y))))
(if (<=.f64 y #s(literal 534328812988005/172364133221937103085272756482216056112753534658909761028039668631756215232006744379020625060744018369805777923479247838020220755974022884986972234404720831691332769255536872593544438018353486799545737272878084128768 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 3331240651246993/9797766621314684873895700802803279209044463565243731922466831101232640732633100491228823617617764419367505179450247842283955649007454149170085442756585554871624752266571753841250508572690789992495054848 binary64)) #s(literal -1 binary64) (if (<=.f64 y #s(literal 2948408144391829/460688772561223309599799143187044542348256984914116263229517370635452168260760357920669766257038423772151901248872539660616526444082616288154471954520592778765795328 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))))
#s(literal -1 binary64)

Outputs
(/.f64 (-.f64 x y) (*.f64 (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 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (.f64 x (-.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (.f64 x (+.f64 (.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
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#s(literal -1 binary64)

soundness870.0ms (6.4%)

Rules

1297×	`log1p-expm1-u`
873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
675×	`fma-neg`
666×	`fma-define`

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	20	280
1	355	262
2	5719	262
0	32	530
1	586	485
0	18	263
1	298	225
2	4086	225

Stop Event

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

Compiler

Compiled 888 to 277 computations (68.8% saved)

preprocess285.0ms (2.1%)

Remove

(abs y)

(abs x)

Compiler

Compiled 1178 to 452 computations (61.6% saved)

analyze8.0ms (0.1%)

sample1.9s (14.2%)

preprocess190.0ms (1.4%)

explain122.0ms (0.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize329.0ms (2.4%)

series26.0ms (0.2%)

rewrite464.0ms (3.4%)

simplify416.0ms (3.1%)

eval528.0ms (3.9%)

prune234.0ms (1.7%)

localize411.0ms (3%)

series32.0ms (0.2%)

rewrite308.0ms (2.3%)

simplify201.0ms (1.5%)

eval349.0ms (2.6%)

prune328.0ms (2.4%)

localize491.0ms (3.6%)

series44.0ms (0.3%)

rewrite141.0ms (1%)

simplify482.0ms (3.6%)

eval594.0ms (4.4%)

prune702.0ms (5.2%)

localize544.0ms (4%)

series321.0ms (2.4%)

rewrite143.0ms (1.1%)

simplify275.0ms (2%)

eval657.0ms (4.9%)

prune1.1s (8%)

regimes26.0ms (0.2%)

regimes81.0ms (0.6%)

regimes20.0ms (0.2%)

regimes37.0ms (0.3%)

regimes2.0ms (0%)

regimes12.0ms (0.1%)

regimes10.0ms (0.1%)

regimes13.0ms (0.1%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes5.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes1.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch144.0ms (1.1%)

bsearch43.0ms (0.3%)

bsearch171.0ms (1.3%)

bsearch44.0ms (0.3%)

bsearch121.0ms (0.9%)

bsearch118.0ms (0.9%)

bsearch81.0ms (0.6%)

bsearch38.0ms (0.3%)

simplify34.0ms (0.2%)

soundness870.0ms (6.4%)

preprocess285.0ms (2.1%)

end0.0ms (0%)

Profiling