Metrics for Kahan p9 Example

analyze9.0ms (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 16 computations (42.9% saved)

Precisions

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

ival-sub: 2.0ms (34.2% of total)

ival-mult: 2.0ms (34.2% of total)

ival-add: 1.0ms (17.1% of total)

ival-<: 1.0ms (17.1% 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)

sample1.2s (14.4%)

Results

878.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 641.0ms

ival-mult: 297.0ms (46.3% of total)

ival-<: 104.0ms (16.2% of total)

ival-add: 91.0ms (14.2% of total)

ival-div: 63.0ms (9.8% of total)

ival-sub: 55.0ms (8.6% of total)

ival-and: 17.0ms (2.7% of total)

const: 11.0ms (1.7% of total)

backward-pass: 3.0ms (0.5% of total)

Bogosity

preprocess189.0ms (2.3%)

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)

explain120.0ms (1.4%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
84	-	-	`(/.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

90.0ms

512×

valid

Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 11.0ms (46.7% of total)

ival-add: 5.0ms (21.2% of total)

ival-sub: 3.0ms (12.7% of total)

ival-div: 3.0ms (12.7% 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
▶	67.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	67.5%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

localize179.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x x)
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 (-.f64 x y) (+.f64 x y))
✓	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)
✓	cost-diff	0	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 y y)
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	67.6%	(/.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	68.6%	(/.f64 (+.f64 x y) (fma.f64 y y (*.f64 x x)))

Rules

600×	`fma-define`
552×	`sub-neg`
522×	`unsub-neg`
445×	`div-sub`
304×	`fma-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	363
1	35	363
2	69	363
3	152	363
4	329	363
5	742	363
6	1711	363
7	3988	363
8	6069	363
9	7670	363

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

41.0ms

256×

valid

Compiler

Compiled 87 to 13 computations (85.1% saved)

Precisions

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

ival-mult: 7.0ms (41.2% of total)

ival-div: 3.0ms (17.7% of total)

ival-fma: 3.0ms (17.7% of total)

ival-sub: 2.0ms (11.8% of total)

ival-add: 2.0ms (11.8% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.3%)

Counts

8 → 159

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)>

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

Calls

42 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))))

rewrite369.0ms (4.4%)

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	239
1	298	206
2	4086	206

Stop Event

1×	node limit

Counts

8 → 475

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)

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

simplify462.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

698×	`times-frac`
354×	`distribute-lft-in`
345×	`fma-define`
329×	`distribute-rgt-in`
324×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1063	28826
1	2758	25129

Stop Event

1×	node limit

Counts

634 → 716

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

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

eval225.0ms (2.7%)

Compiler: Compiled 21309 to 2619 computations (87.7% saved)

prune186.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	917	5	922
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	917	7	924

Accuracy

100.0%

Counts

924 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.2%	(/.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)))
✓	67.5%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
▶	37.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
▶	66.1%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	35.4%	#s(literal 1 binary64)
▶	65.3%	#s(literal -1 binary64)

Compiler

Compiled 131 to 77 computations (41.2% saved)

localize153.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 24 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) 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 y x))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓	accuracy	89.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	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	90.3%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) 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	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))

Rules

778×	`div-sub`
682×	`times-frac`
466×	`distribute-lft-in`
349×	`distribute-rgt-in`
349×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	434
1	52	434
2	106	434
3	285	430
4	830	424
5	2719	412
6	6990	412

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

54.0ms

256×

valid

Compiler

Compiled 109 to 19 computations (82.6% saved)

Precisions

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

ival-div: 10.0ms (36.3% of total)

ival-mult: 6.0ms (21.8% of total)

ival-hypot: 5.0ms (18.2% of total)

ival-add: 4.0ms (14.5% of total)

ival-sub: 2.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

series37.0ms (0.4%)

Counts

10 → 216

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

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

60 calls:

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

rewrite282.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

953×	`log1p-expm1-u`
188×	`add-cube-cbrt`
188×	`expm1-log1p-u`
186×	`add-exp-log`
186×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	328
1	405	310
2	6661	310

Stop Event

1×	node limit

Counts

10 → 361

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

simplify206.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

738×	`times-frac`
459×	`fma-define`
430×	`distribute-lft-in`
414×	`distribute-rgt-in`
242×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1158	24530
1	3136	22234

Stop Event

1×	node limit

Counts

577 → 680

Calls

Call 1

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

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

eval210.0ms (2.5%)

Compiler: Compiled 25292 to 3322 computations (86.9% saved)

prune209.0ms (2.5%)

Pruning

18 alts after pruning (12 fresh and 6 done)

	Pruned	Kept	Total
New	1184	12	1196
Fresh	0	0	0
Picked	1	4	5
Done	0	2	2
Total	1185	18	1203

Accuracy

100.0%

Counts

1203 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.6%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
	37.4%	(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
▶	66.3%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	67.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	37.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
▶	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	66.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) y))
	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))
	37.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
▶	66.1%	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y))
✓	67.5%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	37.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	66.1%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
▶	37.8%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	36.9%	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	35.4%	#s(literal 1 binary64)
✓	65.3%	#s(literal -1 binary64)

Compiler

Compiled 429 to 259 computations (39.6% saved)

localize175.0ms (2.1%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	128	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	128	(/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) 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 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	cost-diff	0	(hypot.f64 x y)
✓	cost-diff	0	(/.f64 (hypot.f64 x y) (-.f64 x y))
✓	cost-diff	6400	(*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	cost-diff	6528	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
	accuracy	100.0%	(+.f64 x y)
	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	accuracy	99.9%	(/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	accuracy	99.8%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x y))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y)
✓	accuracy	90.3%	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y))
	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	91.6%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (-.f64 x y))
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))

Rules

483×	`associate-+r+`
445×	`associate-+l+`
436×	`associate-*r/`
332×	`associate-*l/`
323×	`associate-/r*`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	33	874
1	83	868
2	228	842
3	855	839
4	3211	815

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

84.0ms

256×

valid

Compiler

Compiled 221 to 29 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 19.0ms (44% of total)

ival-add: 8.0ms (18.5% of total)

ival-mult: 7.0ms (16.2% of total)

ival-hypot: 6.0ms (13.9% of total)

ival-sub: 3.0ms (6.9% of total)

const: 1.0ms (2.3% of total)

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

series61.0ms (0.7%)

Counts

16 → 351

Calls

Call 1

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

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

96 calls:

Time	Variable		Point	Expression
9.0ms	x	@	inf	(/ (sqrt (+ (* x x) (* y y))) (+ x y))
4.0ms	y	@	-inf	(/ y x)
4.0ms	y	@	inf	(* (- 1 (/ y x)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))
1.0ms	y	@	0	(/ (+ (+ 2 (/ x y)) -1) y)
1.0ms	y	@	0	(* (- 1 (/ y x)) (/ (+ x y) (sqrt (+ (* x x) (* y y)))))

rewrite159.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

307×	`add-cube-cbrt`
304×	`log1p-expm1-u`
304×	`expm1-log1p-u`
303×	`add-exp-log`
303×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	628
1	653	604

Stop Event

1×	node limit

Counts

16 → 432

Calls

Call 1

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

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

simplify334.0ms (4%)

Algorithm

1×	egg-herbie

Rules

733×	`times-frac`
409×	`*-commutative`
286×	`sub-neg`
250×	`+-commutative`
219×	`associate-*r/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1717	37750
1	4868	34358

Stop Event

1×	node limit

Counts

783 → 962

Calls

Call 1

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

eval571.0ms (6.8%)

Compiler: Compiled 46434 to 6954 computations (85% saved)

prune356.0ms (4.2%)

Pruning

18 alts after pruning (9 fresh and 9 done)

	Pruned	Kept	Total
New	2027	4	2031
Fresh	2	5	7
Picked	2	3	5
Done	0	6	6
Total	2031	18	2049

Accuracy

100.0%

Counts

2049 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
▶	66.3%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
✓	66.3%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	66.9%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
✓	67.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	65.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	37.2%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
▶	37.4%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	66.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) y))
▶	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))
▶	37.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
✓	67.5%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	37.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	36.9%	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	35.4%	#s(literal 1 binary64)
✓	65.3%	#s(literal -1 binary64)

Compiler

Compiled 378 to 236 computations (37.6% saved)

localize247.0ms (2.9%)

Algorithm

1×	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 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(pow.f64 (/.f64 y x) #s(literal 2 binary64))
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
	cost-diff	0	(+.f64 #s(literal 2 binary64) (/.f64 x y))
	cost-diff	0	(-.f64 x y)
	cost-diff	128	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
✓	cost-diff	128	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	12672	(exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))
✓	cost-diff	12928	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
✓	cost-diff	19328	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))
✓	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 y x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
✓	accuracy	99.6%	(pow.f64 (/.f64 y x) #s(literal 2 binary64))
	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 x y))
	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
✓	accuracy	91.6%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (/.f64 y x))
✓	accuracy	100.0%	(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
✓	accuracy	99.9%	(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
✓	accuracy	89.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
	accuracy	100.0%	(/.f64 (+.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
✓	accuracy	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))

Rules

873×	`fma-define`
503×	`unsub-neg`
424×	`distribute-lft-in`
370×	`sub-neg`
337×	`distribute-rgt-in`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	37	806
1	82	764
2	181	755
3	555	737
4	1907	734
5	5331	712

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x 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) (hypot.f64 x y))
(-.f64 x y)
x
y
(hypot.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
(exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))
(log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (hypot.f64 x y))
(+.f64 x y)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
(-.f64 x y)
x
y
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
#s(literal 2 binary64)
(/.f64 y x)
#s(literal -1 binary64)
(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(-.f64 x y)
x
y
(/.f64 y (+.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)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal -2 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(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
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (+.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 0 binary64)))
(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) (hypot.f64 x y)))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (.f64 (hypot.f64 x y) (hypot.f64 x y))))
(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 x x (.f64 y y))))
(/.f64 (-.f64 x y) (hypot.f64 x y))
(-.f64 x y)
x
y
(hypot.f64 x y)
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))
(+.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 0 binary64))
(/.f64 (+.f64 x y) (hypot.f64 x y))
(exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (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)))
(log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))
(/.f64 (+.f64 x y) (hypot.f64 x y))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))
(+.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)) #s(literal 0 binary64))
(+.f64 x y)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (/.f64 (-.f64 x y) x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(-.f64 x y)
x
y
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 y x))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
#s(literal 2 binary64)
(/.f64 y x)
#s(literal -1 binary64)
(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 x y) y) (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (/.f64 (-.f64 x y) y))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(+.f64 #s(literal -1 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)))
(-.f64 x y)
x
y
(/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(/.f64 y (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64))))
(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (+.f64 (/.f64 x y) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+.f64 #s(literal 2 binary64) (/.f64 x y))
#s(literal 2 binary64)
(/.f64 x y)
#s(literal -1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
#s(literal -2 binary64)
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(/.f64 y x)
y
x
#s(literal 2 binary64)
(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)

Results

134.0ms

256×

valid

Compiler

Compiled 213 to 31 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 92.0ms

ival-add: 49.0ms (53.3% of total)

ival-div: 12.0ms (13% of total)

ival-hypot: 7.0ms (7.6% of total)

ival-mult: 5.0ms (5.4% of total)

ival-pow: 5.0ms (5.4% of total)

ival-sub: 4.0ms (4.3% of total)

ival-log1p: 4.0ms (4.3% of total)

ival-exp: 3.0ms (3.3% of total)

ival-fma: 3.0ms (3.3% of total)

const: 1.0ms (1.1% of total)

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

series37.0ms (0.4%)

Counts

15 → 327

Calls

Call 1

Inputs
#<alt (*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))>
#<alt (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64))>
#<alt (*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))>
#<alt (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)>
#<alt (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))>
#<alt (+.f64 #s(literal 2 binary64) (/.f64 y x))>
#<alt (/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))>
#<alt (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))>
#<alt (pow.f64 (/.f64 y x) #s(literal 2 binary64))>
#<alt (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))>
#<alt (pow.f64 (/.f64 x y) #s(literal 2 binary64))>
#<alt (/.f64 x y)>
#<alt (fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))>
#<alt (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))>

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

Calls

90 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	(pow (/ y x) 2)
1.0ms	y	@	0	(pow (/ y x) 2)
1.0ms	x	@	0	(pow (/ y x) 2)
1.0ms	y	@	inf	(* -2 (pow (/ y x) 2))
0.0ms	x	@	0	(pow (/ x y) 2)

rewrite157.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

304×	`log1p-expm1-u`
304×	`expm1-log1p-u`
294×	`add-exp-log`
294×	`add-log-exp`
294×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	487
1	650	469

Stop Event

1×	node limit

Counts

15 → 403

Calls

Call 1

Inputs
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #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 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x)
(+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal 2 binary64) (/.f64 y x))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)))
(pow.f64 (/.f64 y x) #s(literal 2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64))))
(pow.f64 (/.f64 x y) #s(literal 2 binary64))
(/.f64 x y)
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y))))

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

simplify375.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

613×	`fma-define`
342×	`distribute-lft-in`
337×	`distribute-rgt-in`
263×	`*-commutative`
183×	`sub-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1324	31834
1	3504	27482

Stop Event

1×	node limit

Counts

730 → 836

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

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

eval221.0ms (2.6%)

Compiler: Compiled 33380 to 4961 computations (85.1% saved)

prune216.0ms (2.6%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	1543	2	1545
Fresh	2	2	4
Picked	3	2	5
Done	3	6	9
Total	1551	12	1563

Accuracy

100.0%

Counts

1563 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.3%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
✓	66.3%	(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
	66.9%	(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
✓	67.2%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
	65.9%	(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))
✓	100.0%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y))))
	66.6%	(+.f64 (*.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64))) #s(literal -1 binary64))
	37.3%	(+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x))))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	100.0%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))
✓	35.4%	#s(literal 1 binary64)
✓	65.3%	#s(literal -1 binary64)

Compiler

Compiled 450 to 177 computations (60.7% saved)

regimes24.0ms (0.3%)

Counts

25 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.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 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 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 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 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.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 (/.f64 (-.f64 x y) (hypot.f64 x y)) (-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x y) (hypot.f64 x y)))) #s(literal 1 binary64)))

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

Calls

3 calls:

8.0ms	x
8.0ms	y
6.0ms	(/.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)

regimes23.0ms (0.3%)

Counts

23 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.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 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64)) y))
(*.f64 (-.f64 x y) (/.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 x y) (/.f64 y (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal -1 binary64))))
(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 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 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 (+.f64 x y) (fma.f64 y y (.f64 x x))))
(fma.f64 #s(literal -2 binary64) (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal -1 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	y
7.0ms	x
6.0ms	(/.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)

regimes22.0ms (0.3%)

Counts

22 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
84.3%	2	`x`
93.3%	4	`y`
92.9%	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)

regimes7.0ms (0.1%)

Counts

17 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

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

Results

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

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes10.0ms (0.1%)

Counts

13 → 2

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
73.4%	2	`x`
84.1%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
83.9%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.7%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
83.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
83.5%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes2.0ms (0%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
83.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (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:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
65.3%	1	`x`
65.3%	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)

bsearch14.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

9.0ms

112×

valid

Compiler

Compiled 232 to 153 computations (34.1% saved)

Precisions

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

ival-sub: 2.0ms (35.2% of total)

ival-mult: 2.0ms (35.2% of total)

ival-div: 1.0ms (17.6% of total)

ival-add: 1.0ms (17.6% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

8.0ms

112×

valid

Compiler

Compiled 218 to 146 computations (33% saved)

Precisions

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

ival-mult: 2.0ms (41.9% of total)

ival-sub: 1.0ms (20.9% of total)

ival-div: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

const: 0.0ms (0% of total)

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

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

8.0ms

112×

valid

Compiler

Compiled 218 to 146 computations (33% saved)

Precisions

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

ival-mult: 2.0ms (42.3% of total)

ival-sub: 1.0ms (21.2% of total)

ival-div: 1.0ms (21.2% of total)

ival-add: 1.0ms (21.2% of total)

const: 0.0ms (0% of total)

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

bsearch13.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

8.0ms

112×

valid

Compiler

Compiled 218 to 139 computations (36.2% saved)

Precisions

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

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

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

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

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

const: 0.0ms (0% of total)

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

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

11.0ms

112×

valid

Compiler

Compiled 148 to 104 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (71.6% of total)

ival-sub: 1.0ms (11.9% of total)

ival-div: 1.0ms (11.9% of total)

ival-add: 1.0ms (11.9% of total)

const: 0.0ms (0% of total)

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

bsearch12.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.2794356575218987e-199	7.124494272408119e-197

Results

8.0ms

112×

valid

Compiler

Compiled 78 to 69 computations (11.5% saved)

Precisions

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

ival-mult: 2.0ms (41.6% of total)

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

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

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

const: 0.0ms (0% of total)

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

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

11×	`*-commutative`
9×	`+-commutative`
4×	`sub-neg`
3×	`1-exp`
2×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	1027
1	93	1027
2	99	1027
3	106	1027
4	107	1027

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.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 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) 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 x y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 6463654995822641/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.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 1367635334402577/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x)))) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal 3029838279291863/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x)))) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 4713081767787343/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 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 2945676104867089/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 2945676104867089/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (hypot.f64 x y) (-.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 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) 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 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 6463654995822641/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.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 6463654995822641/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 x (/.f64 x y))))) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (-.f64 (/.f64 x y) #s(literal 1 binary64))))))
(if (<=.f64 y #s(literal 6463654995822641/1346594790796383617853693410017312938380886989522732508031559911185595431500052690461098633287062643514107640027181623734532974656047053788960720581286881497588537259808881817137065922018386615621451072444360032256 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 x (/.f64 x y))))) (/.f64 (-.f64 x y) (+.f64 y (*.f64 x (+.f64 (/.f64 x y) #s(literal -1 binary64))))))
(if (<=.f64 y #s(literal 1367635334402577/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x)))) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal 1367635334402577/21040543606193494028963959531520514662201359211292695437993123612274928617188323288454666145110353804907931875424712870852077729000735215452511259082607523399820894684513778392766655031537290869085173006943125504 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 x (/.f64 x y))))) (/.f64 (-.f64 x y) (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
(if (<=.f64 y #s(literal 3029838279291863/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 (/.f64 x y) x)))) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 3029838279291863/673297395398191808926846705008656469190443494761366254015779955592797715750026345230549316643531321757053820013590811867266487328023526894480360290643440748794268629904440908568532961009193307810725536222180016128 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal -2 binary64) (/.f64 y (.f64 x (/.f64 x y))))) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 4713081767787343/84162174424773976115855838126082058648805436845170781751972494449099714468753293153818664580441415219631727501698851483408310916002940861810045036330430093599283578738055113571066620126149163476340692027772502016 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 2945676104867089/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 2945676104867089/42081087212386988057927919063041029324402718422585390875986247224549857234376646576909332290220707609815863750849425741704155458001470430905022518165215046799641789369027556785533310063074581738170346013886251008 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness1.1s (13.2%)

Rules

953×	`log1p-expm1-u`
873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
733×	`times-frac`
675×	`fma-neg`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1717	37750
1	4868	34358
0	22	328
1	405	310
2	6661	310
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	18	239
1	298	206
2	4086	206
0	37	487
1	650	469

Stop Event

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

Compiler

Compiled 658 to 178 computations (72.9% saved)

preprocess87.0ms (1%)

Remove

(abs y)

(abs x)

Compiler

Compiled 784 to 262 computations (66.6% saved)

analyze9.0ms (0.1%)

sample1.2s (14.4%)

preprocess189.0ms (2.3%)

explain120.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize179.0ms (2.1%)

series23.0ms (0.3%)

rewrite369.0ms (4.4%)

simplify462.0ms (5.5%)

eval225.0ms (2.7%)

prune186.0ms (2.2%)

localize153.0ms (1.8%)

series37.0ms (0.4%)

rewrite282.0ms (3.4%)

simplify206.0ms (2.5%)

eval210.0ms (2.5%)

prune209.0ms (2.5%)

localize175.0ms (2.1%)

series61.0ms (0.7%)

rewrite159.0ms (1.9%)

simplify334.0ms (4%)

eval571.0ms (6.8%)

prune356.0ms (4.2%)

localize247.0ms (2.9%)

series37.0ms (0.4%)

rewrite157.0ms (1.9%)

simplify375.0ms (4.5%)

eval221.0ms (2.6%)

prune216.0ms (2.6%)

regimes24.0ms (0.3%)

regimes23.0ms (0.3%)

regimes22.0ms (0.3%)

regimes7.0ms (0.1%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes2.0ms (0%)

regimes2.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch14.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch17.0ms (0.2%)

bsearch13.0ms (0.2%)

bsearch16.0ms (0.2%)

bsearch12.0ms (0.1%)

simplify19.0ms (0.2%)

soundness1.1s (13.2%)

preprocess87.0ms (1%)

end0.0ms (0%)

Profiling