Metrics for Kahan p9 Example

analyze7.0ms (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: 4.0ms

ival-mult: 2.0ms (55% of total)

ival-add: 1.0ms (27.5% of total)

ival-<: 1.0ms (27.5% of total)

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

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

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

const: 0.0ms (0% of total)

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

sample1.1s (13.6%)

Results

789.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 540.0ms

ival-mult: 188.0ms (34.8% of total)

ival-<: 111.0ms (20.5% of total)

ival-add: 81.0ms (15% of total)

ival-sub: 69.0ms (12.8% of total)

ival-div: 58.0ms (10.7% of total)

ival-and: 18.0ms (3.3% of total)

const: 11.0ms (2% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess180.0ms (2.2%)

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)

explain89.0ms (1.1%)

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
74	-	-	`(/.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

53.0ms

512×

valid

Compiler

Compiled 109 to 29 computations (73.4% saved)

Precisions

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

ival-mult: 10.0ms (40.6% of total)

ival-add: 6.0ms (24.4% of total)

ival-div: 4.0ms (16.2% of total)

ival-sub: 3.0ms (12.2% of total)

const: 1.0ms (4.1% 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
▶	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	70.2%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))

Compiler

Compiled 33 to 17 computations (48.5% saved)

localize174.0ms (2.2%)

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 x x)
✓	accuracy	100.0%	(*.f64 (-.f64 x y) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	71.4%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	accuracy	100.0%	(*.f64 x x)
✓	accuracy	100.0%	(fma.f64 y y (*.f64 x x))
✓	accuracy	99.7%	(.f64 (-.f64 x y) (/.f64 (+.f64 x y) (fma.f64 y y (.f64 x x))))
✓	accuracy	71.2%	(/.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

39.0ms

256×

valid

Compiler

Compiled 87 to 13 computations (85.1% saved)

Precisions

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

ival-mult: 8.0ms (36.9% of total)

ival-div: 6.0ms (27.7% of total)

ival-add: 3.0ms (13.8% of total)

ival-fma: 3.0ms (13.8% of total)

ival-sub: 2.0ms (9.2% of total)

const: 0.0ms (0% of total)

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

series24.0ms (0.3%)

Counts

9 → 195

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

Calls

51 calls:

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

rewrite322.0ms (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	277
1	298	234
2	4086	234

Stop Event

1×	node limit

Counts

9 → 539

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

simplify325.0ms (4%)

Algorithm

1×	egg-herbie

Rules

890×	`times-frac`
376×	`distribute-lft-in`
353×	`distribute-rgt-in`
346×	`fma-define`
217×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1117	33088
1	2870	29080

Stop Event

1×	node limit

Counts

734 → 777

Calls

Call 1

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

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

eval189.0ms (2.3%)

Compiler: Compiled 22480 to 2801 computations (87.5% saved)

prune149.0ms (1.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

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

Accuracy

100.0%

Counts

984 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.1%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	99.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
	98.9%	(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (hypot.f64 x y)) (-.f64 x y)))
	31.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
▶	71.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	70.2%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x))))
	68.9%	(.f64 (-.f64 x y) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (hypot.f64 x y) #s(literal 2 binary64))) (+.f64 x y)))
	29.6%	#s(literal 1 binary64)
▶	70.5%	#s(literal -1 binary64)

Compiler

Compiled 271 to 151 computations (44.3% saved)

localize339.0ms (4.2%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x)))
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x))))
✓	cost-diff	0	(*.f64 x (-.f64 x y))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(*.f64 y (-.f64 x y))
✓	cost-diff	256	(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	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	128	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	accuracy	100.0%	(pow.f64 (hypot.f64 y x) #s(literal 2 binary64))
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x)))
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x))))
✓	accuracy	71.4%	(/.f64 (pow.f64 (hypot.f64 y x) #s(literal 2 binary64)) (+.f64 y x))
✓	accuracy	100.0%	(*.f64 y (-.f64 x y))
✓	accuracy	100.0%	(+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y)))
	accuracy	100.0%	(+.f64 (.f64 x x) (.f64 y y))
✓	accuracy	71.4%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)
✓	accuracy	91.7%	(*.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

808×	`fma-define`
432×	`times-frac`
421×	`distribute-lft-in`
380×	`unsub-neg`
365×	`fma-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	744
1	73	728
2	161	686
3	562	686
4	1887	683
5	4858	677

Stop Event

1×	node limit

Calls

Call 1

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

Results

236.0ms

256×

valid

Compiler

Compiled 187 to 29 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 195.0ms

ival-sub: 99.0ms (50.9% of total)

ival-mult: 65.0ms (33.4% of total)

ival-div: 12.0ms (6.2% of total)

ival-hypot: 9.0ms (4.6% of total)

ival-add: 6.0ms (3.1% of total)

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

const: 1.0ms (0.5% of total)

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

series51.0ms (0.6%)

Counts

15 → 348

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

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

Calls

90 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(/ (+ (* y (- x y)) (* x (- x y))) (+ (* x x) (* y y)))
2.0ms	y	@	-inf	(/ (- x y) (sqrt (+ (* x x) (* y y))))
1.0ms	y	@	0	(/ 1 (/ (pow (sqrt (+ (* y y) (* x x))) 2) (+ y x)))
1.0ms	y	@	inf	(/ (+ x y) (sqrt (+ (* x x) (* y y))))
1.0ms	y	@	inf	(/ (pow (sqrt (+ (* y y) (* x x))) 2) (+ y x))

rewrite171.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

253×	`log1p-expm1-u`
253×	`expm1-log1p-u`
249×	`add-cube-cbrt`
247×	`add-exp-log`
247×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	32	507
1	635	483

Stop Event

1×	node limit

Counts

15 → 579

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

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

simplify573.0ms (7.1%)

Algorithm

1×	egg-herbie

Rules

739×	`fma-define`
430×	`*-commutative`
247×	`sub-neg`
214×	`neg-sub0`
211×	`+-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1653	45027
1	4633	41907

Stop Event

1×	node limit

Counts

927 → 1011

Calls

Call 1

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

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

eval319.0ms (4%)

Compiler: Compiled 42691 to 5525 computations (87.1% saved)

prune249.0ms (3.1%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1793	4	1797
Fresh	2	2	4
Picked	1	4	5
Done	0	1	1
Total	1796	11	1807

Accuracy

100.0%

Counts

1807 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	71.1%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	99.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶	31.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	71.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
▶	70.3%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
▶	32.1%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
	69.4%	(.f64 (-.f64 x y) (.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y)))
▶	29.6%	#s(literal 1 binary64)
✓	70.5%	#s(literal -1 binary64)

Compiler

Compiled 227 to 132 computations (41.9% saved)

localize226.0ms (2.8%)

Algorithm

1×	egg-herbie

Localize:

Found 32 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	-6272	(.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
✓	cost-diff	0	(/.f64 y x)
✓	cost-diff	0	(*.f64 #s(literal 2 binary64) (/.f64 y x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	cost-diff	0	(-.f64 y x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 y x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	512	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
	cost-diff	0	(hypot.f64 x y)
	cost-diff	0	(-.f64 x y)
	cost-diff	0	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	cost-diff	6400	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	accuracy	100.0%	(*.f64 #s(literal 2 binary64) (/.f64 y x))
✓	accuracy	99.7%	(.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
✓	accuracy	91.3%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
	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	90.3%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	accuracy	100.0%	(-.f64 y x)
	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 y x))
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
	accuracy	100.0%	(/.f64 (-.f64 x y) (hypot.f64 x y))
✓	accuracy	100.0%	(/.f64 (hypot.f64 x y) (+.f64 x y))

Rules

527×	`times-frac`
439×	`fma-neg`
395×	`fma-define`
323×	`distribute-lft-in`
304×	`unsub-neg`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	28	649
1	69	625
2	149	621
3	415	621
4	1226	588
5	4021	582

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

133.0ms

256×

valid

Compiler

Compiled 171 to 24 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-div: 11.0ms (30% of total)

ival-mult: 9.0ms (24.6% of total)

ival-hypot: 7.0ms (19.1% of total)

ival-add: 5.0ms (13.6% of total)

ival-sub: 4.0ms (10.9% of total)

const: 1.0ms (2.7% of total)

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

series49.0ms (0.6%)

Counts

13 → 246

Calls

Call 1

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

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

Calls

78 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	(* (- x y) (/ 1 (+ x (* y (- (* 2 (/ y x)) 1)))))
4.0ms	y	@	inf	(/ 1 (+ x (* y (- (* 2 (/ y x)) 1))))
3.0ms	x	@	inf	(* (- x y) (/ (+ 1 (/ y x)) x))
1.0ms	y	@	-inf	(* (- x y) (/ 1 (+ x (* y (- (* 2 (/ y x)) 1)))))
1.0ms	y	@	inf	(* (- x y) (/ (+ 1 (/ y x)) x))

rewrite139.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

254×	`add-cube-cbrt`
253×	`log1p-expm1-u`
253×	`expm1-log1p-u`
251×	`add-exp-log`
251×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	418
1	539	410

Stop Event

1×	node limit

Counts

13 → 392

Calls

Call 1

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

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

simplify293.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-define`
382×	`distribute-lft-in`
370×	`*-commutative`
264×	`sub-neg`
222×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1462	27886
1	4195	26128

Stop Event

1×	node limit

Counts

638 → 789

Calls

Call 1

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

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

eval314.0ms (3.9%)

Compiler: Compiled 36107 to 5154 computations (85.7% saved)

prune272.0ms (3.4%)

Pruning

14 alts after pruning (5 fresh and 9 done)

	Pruned	Kept	Total
New	1628	4	1632
Fresh	0	1	1
Picked	1	4	5
Done	0	5	5
Total	1629	14	1643

Accuracy

100.0%

Counts

1643 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	71.1%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
▶	31.3%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
▶	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	99.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
▶	31.2%	(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x))
✓	71.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
✓	70.3%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
✓	32.1%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
▶	69.4%	(.f64 (-.f64 x y) (.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y)))
▶	31.1%	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	29.6%	#s(literal 1 binary64)
✓	70.5%	#s(literal -1 binary64)

Compiler

Compiled 267 to 154 computations (42.3% saved)

localize190.0ms (2.4%)

Algorithm

1×	egg-herbie

Localize:

Found 40 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 x y)
✓	cost-diff	0	(-.f64 (/.f64 x y) #s(literal 1 binary64))
✓	cost-diff	256	(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
✓	cost-diff	384	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	128	(/.f64 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 #s(literal 1 binary64) (/.f64 y x))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	cost-diff	128	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
✓	cost-diff	0	(/.f64 (+.f64 x y) x)
✓	cost-diff	0	(/.f64 (/.f64 (+.f64 x y) x) x)
	cost-diff	0	(-.f64 x y)
✓	cost-diff	128	(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x))
✓	cost-diff	0	(pow.f64 (hypot.f64 x y) #s(literal -2 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y))
	cost-diff	0	(-.f64 x y)
✓	cost-diff	0	(.f64 (-.f64 x y) (.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y)))
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.9%	(*.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64)))
	accuracy	99.9%	(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x)
✓	accuracy	90.3%	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
	accuracy	100.0%	(+.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 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
	accuracy	100.0%	(-.f64 x y)
	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.9%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
✓	accuracy	99.7%	(*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	99.9%	(/.f64 (+.f64 x y) x)
✓	accuracy	99.9%	(/.f64 (/.f64 (+.f64 x y) x) x)
✓	accuracy	90.3%	(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x))
	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(pow.f64 (hypot.f64 x y) #s(literal -2 binary64))
✓	accuracy	99.7%	(.f64 (-.f64 x y) (.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y)))
✓	accuracy	70.5%	(*.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y))

Rules

523×	`times-frac`
512×	`distribute-lft-in`
440×	`unsub-neg`
423×	`distribute-rgt-in`
264×	`div-sub`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	796
1	78	796
2	217	796
3	761	754
4	2733	712
5	5978	712

Stop Event

1×	node limit

Calls

Call 1

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

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

Results

80.0ms

256×

valid

Compiler

Compiled 202 to 25 computations (87.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-div: 16.0ms (38.5% of total)

ival-mult: 9.0ms (21.7% of total)

ival-hypot: 5.0ms (12% of total)

ival-pow: 4.0ms (9.6% of total)

ival-sub: 3.0ms (7.2% of total)

ival-add: 3.0ms (7.2% of total)

const: 1.0ms (2.4% of total)

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

series38.0ms (0.5%)

Counts

14 → 297

Calls

Call 1

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

Calls

84 calls:

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

rewrite150.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

249×	`associate-r`
242×	`log1p-expm1-u`
242×	`expm1-log1p-u`
241×	`add-cube-cbrt`
239×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	509
1	549	497

Stop Event

1×	node limit

Counts

14 → 497

Calls

Call 1

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

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

simplify437.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-define`
505×	`distribute-lft-in`
474×	`distribute-rgt-in`
416×	`times-frac`
345×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1389	38691
1	3903	35223

Stop Event

1×	node limit

Counts

794 → 828

Calls

Call 1

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

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

eval318.0ms (3.9%)

Compiler: Compiled 35686 to 4841 computations (86.4% saved)

prune304.0ms (3.8%)

Pruning

17 alts after pruning (3 fresh and 14 done)

	Pruned	Kept	Total
New	1721	3	1724
Fresh	0	0	0
Picked	0	5	5
Done	0	9	9
Total	1721	17	1738

Accuracy

100.0%

Counts

1738 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	31.7%	(fma.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -2 binary64) #s(literal 1 binary64))
✓	100.0%	(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
✓	71.1%	(/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y)))
✓	71.1%	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
✓	31.3%	(/.f64 (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x)
✓	31.3%	(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	99.9%	(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
✓	31.2%	(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x))
✓	71.2%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y))
	29.0%	(*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) (pow.f64 (/.f64 y x) #s(literal 2 binary64)))) x))
✓	70.3%	(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
✓	32.1%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 x (.f64 y (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 y x)) #s(literal 1 binary64))))))
	31.2%	(.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (+.f64 y x)) x)))
✓	69.4%	(.f64 (-.f64 x y) (.f64 (pow.f64 (hypot.f64 x y) #s(literal -2 binary64)) (+.f64 x y)))
✓	31.1%	(.f64 (.f64 y (-.f64 (/.f64 x y) #s(literal 1 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 y x)) x))
✓	29.6%	#s(literal 1 binary64)
✓	70.5%	#s(literal -1 binary64)

Compiler

Compiled 520 to 219 computations (57.9% saved)

regimes21.0ms (0.3%)

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	y
7.0ms	x
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

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

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes22.0ms (0.3%)

Counts

20 → 1

Calls

Call 1

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

6.0ms	x
6.0ms	y
5.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`y`
99.9%	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)

regimes19.0ms (0.2%)

Counts

19 → 2

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
4.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

Results

Accuracy	Segments	Branch
83.9%	2	`x`
93.7%	4	`y`
94.0%	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)

regimes4.0ms (0.1%)

Counts

12 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
94.0%	2	`(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))`

Compiler

Compiled 17 to 9 computations (47.1% saved)

regimes4.0ms (0.1%)

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.4%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(*.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x 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
84.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
84.3%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes3.0ms (0%)

Counts

4 → 2

Calls

Call 1

Inputs
#s(literal -1 binary64)
#s(literal 1 binary64)
(*.f64 (-.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(*.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
84.1%	2	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes4.0ms (0%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
73.7%	2	`x`
83.7%	2	`y`

Compiler

Compiled 6 to 4 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	x
1.0ms	y

Results

Accuracy	Segments	Branch
70.5%	1	`x`
70.5%	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)

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
17.0ms	1.3971143052818367e-191	3.660148707731003e-185

Results

12.0ms

144×

valid

Compiler

Compiled 274 to 175 computations (36.1% saved)

Precisions

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

ival-mult: 4.0ms (51.9% of total)

ival-sub: 1.0ms (13% of total)

ival-div: 1.0ms (13% of total)

ival-add: 1.0ms (13% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3971143052818367e-191	3.660148707731003e-185

Results

12.0ms

144×

valid

Compiler

Compiled 274 to 166 computations (39.4% saved)

Precisions

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

ival-mult: 4.0ms (52.2% of total)

ival-sub: 1.0ms (13.1% of total)

ival-div: 1.0ms (13.1% of total)

ival-add: 1.0ms (13.1% of total)

const: 0.0ms (0% of total)

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

bsearch18.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.3971143052818367e-191	3.660148707731003e-185

Results

12.0ms

144×

valid

Compiler

Compiled 274 to 175 computations (36.1% saved)

Precisions

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

ival-mult: 3.0ms (47.8% of total)

ival-sub: 1.0ms (15.9% of total)

ival-div: 1.0ms (15.9% of total)

ival-add: 1.0ms (15.9% of total)

const: 0.0ms (0% of total)

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

bsearch118.0ms (1.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
116.0ms	1.3971143052818367e-191	3.660148707731003e-185

Results

10.0ms

144×

valid

Compiler

Compiled 184 to 130 computations (29.3% saved)

Precisions

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

ival-mult: 3.0ms (47.2% of total)

ival-sub: 1.0ms (15.7% of total)

ival-div: 1.0ms (15.7% of total)

ival-add: 1.0ms (15.7% of total)

const: 0.0ms (0% of total)

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

bsearch7.0ms (0.1%)

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
7.0ms	1.3971143052818367e-191	3.660148707731003e-185

Results

5.0ms

64×

valid

Compiler

Compiled 54 to 45 computations (16.7% saved)

Precisions

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

ival-add: 1.0ms (35.6% of total)

ival-mult: 1.0ms (35.6% of total)

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

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

const: 0.0ms (0% of total)

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

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	61	917
1	82	917
2	85	917
3	87	917
4	88	917

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 1959553324262937/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 8622034626756923/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392 binary64)) (.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 2602531758786713/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 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 8226988676585515/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

Outputs
(/.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (hypot.f64 x y) (+.f64 x y)))
(*.f64 (/.f64 (-.f64 x y) (hypot.f64 x y)) (/.f64 (+.f64 x y) (hypot.f64 x y)))
(if (<=.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))) #s(literal 2 binary64)) (/.f64 (+.f64 (.f64 y (-.f64 x y)) (.f64 x (-.f64 x y))) (+.f64 (.f64 x x) (.f64 y y))) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.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 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 1959553324262937/2449441655328671218473925200700819802261115891310932980616707775308160183158275122807205904404441104841876294862561960570988912251863537292521360689146388717906188066642938460312627143172697498123763712 binary64)) (/.f64 (.f64 (-.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 y x))) x) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 8622034626756923/39191066485258739495582803211213116836177854260974927689867324404930562930532401964915294470471057677470020717800991369135822596029816596680341771026342219486499009066287015365002034290763159969980219392 binary64)) (.f64 (-.f64 x y) (/.f64 (/.f64 (+.f64 x y) x) x)) (.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 2602531758786713/76545051729020975577310162521900618820659871603466655644272117978380005723696097587725184512638784526308634214455061267843403507870735540391292521535824647434568377082591826884769598224146796816367616 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 8226988676585515/40131652080904949243476790488282231640246122763238325954424140190648896440865179612073261537762363061729301215028215161995082338334532195000669973530974432754174985283877903733762083113741475809259744657408 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x y) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 x y)) y)))
(if (<=.f64 y #s(literal 3061802069160839/306180206916083902309240650087602475282639486413866622577088471913520022894784390350900738050555138105234536857820245071373614031482942161565170086143298589738273508330367307539078392896587187265470464 binary64)) #s(literal 1 binary64) #s(literal -1 binary64))
#s(literal -1 binary64)

soundness691.0ms (8.6%)

Rules

873×	`log1p-expm1-u`
873×	`expm1-log1p-u`
675×	`fma-neg`
666×	`fma-define`
505×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	465
1	124	465
2	359	441
3	1034	441
4	3108	441
5	6376	441
6	7046	441
7	7496	441
8	7830	441
9	7898	441
0	32	507
1	635	483
0	28	418
1	539	410
0	18	277
1	298	234
2	4086	234

Stop Event

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

Compiler

Compiled 512 to 129 computations (74.8% saved)

preprocess105.0ms (1.3%)

Remove: (abs x)
Compiler: Compiled 776 to 264 computations (66% saved)

analyze7.0ms (0.1%)

sample1.1s (13.6%)

preprocess180.0ms (2.2%)

explain89.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize174.0ms (2.2%)

series24.0ms (0.3%)

rewrite322.0ms (4%)

simplify325.0ms (4%)

eval189.0ms (2.3%)

prune149.0ms (1.8%)

localize339.0ms (4.2%)

series51.0ms (0.6%)

rewrite171.0ms (2.1%)

simplify573.0ms (7.1%)

eval319.0ms (4%)

prune249.0ms (3.1%)

localize226.0ms (2.8%)

series49.0ms (0.6%)

rewrite139.0ms (1.7%)

simplify293.0ms (3.6%)

eval314.0ms (3.9%)

prune272.0ms (3.4%)

localize190.0ms (2.4%)

series38.0ms (0.5%)

rewrite150.0ms (1.9%)

simplify437.0ms (5.4%)

eval318.0ms (3.9%)

prune304.0ms (3.8%)

regimes21.0ms (0.3%)

regimes22.0ms (0.3%)

regimes19.0ms (0.2%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes4.0ms (0%)

regimes3.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch18.0ms (0.2%)

bsearch118.0ms (1.5%)

bsearch7.0ms (0.1%)

simplify16.0ms (0.2%)

soundness691.0ms (8.6%)

preprocess105.0ms (1.3%)

end0.0ms (0%)

Profiling