Metrics for Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze16.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	4
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	5
52.2%	37.5%	34.3%	0.1%	0%	28.1%	0%	6
65.1%	43.7%	23.4%	0.1%	0%	32.8%	0%	7
70.9%	43.7%	18%	0.1%	0%	38.2%	0%	8
79.5%	46.8%	12.1%	0.1%	0%	41%	0%	9
83.6%	46.8%	9.2%	0.1%	0%	43.9%	0%	10
88.7%	48.4%	6.1%	0.1%	0%	45.4%	0%	11
91.3%	48.4%	4.6%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 6 to 6 computations (0% saved)

sample1.2s (30.2%)

Memory

-5.8MiB live, 592.6MiB allocated

Samples

837.0ms	8 256×	0	valid
18.0ms	545×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 201.0ms

ival-sqrt: 97.0ms (48.2% of total)

ival-add: 94.0ms (46.7% of total)

ival-true: 6.0ms (3% of total)

ival-assert: 4.0ms (2% of total)

Bogosity

explain61.0ms (1.5%)

Memory

-11.0MiB live, 71.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (+.f64 x y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 35 to 20 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sqrt: 4.0ms (54.3% of total)

ival-add: 3.0ms (40.7% of total)

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

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

preprocess12.0ms (0.3%)

Memory

21.4MiB live, 21.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	15	26
0	4	4
0	6	4
1	7	4
0	7	4

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))

Outputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))

Symmetry

(sort x y)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(sqrt.f64 (+.f64 x y))

Compiler

Compiled 4 to 4 computations (0% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 x y)
cost-diff	0	(sqrt.f64 (+.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	7	9
0	7	9

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y

Outputs
(sqrt.f64 (+.f64 x y))
(sqrt.f64 (+.f64 y x))
(+.f64 x y)
(+.f64 y x)
x
y

localize16.0ms (0.4%)

Memory

-10.9MiB live, 26.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.01171875	(sqrt.f64 (+.f64 x y))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-add: 4.0ms (68.5% of total)

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

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

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

series5.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 29

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)

Outputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ x y)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((sqrt (+ x y)) (+ x y))
1.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y))
1.0ms	x	@	inf	((sqrt (+ x y)) (+ x y))
1.0ms	y	@	inf	((sqrt (+ x y)) (+ x y))
0.0ms	x	@	0	((sqrt (+ x y)) (+ x y))

simplify157.0ms (3.9%)

Memory

8.5MiB live, 203.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	603
1	496	573
2	1984	543
3	6459	543
0	8257	505

Stop Event

1×	iter limit
1×	node limit

Counts

29 → 27

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ x y)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
y
(+ x y)
(+.f64 y x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(.f64 (fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) y) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 #s(literal -1/8 binary64) y)) y (fma.f64 (.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))

rewrite237.0ms (5.8%)

Memory

-3.8MiB live, 248.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	22	7
2	140	7
3	1359	7
0	8956	7

Stop Event

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

Counts

2 → 244

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)

Outputs
(*.f64 (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))))) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y x) y))))
(.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x)))) (sqrt.f64 (+.f64 y x)))
(.f64 (sqrt.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (-.f64 (.f64 x x) (.f64 (-.f64 y x) y))))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(*.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (pow.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (sqrt.f64 (/.f64 (-.f64 y x) (-.f64 y x))))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 y x)) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 y x)))
(pow.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x))))) (.f64 (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))))) (-.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x))))))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (-.f64 (.f64 (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x))))) (.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x))))))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 y x)))))
(/.f64 (neg.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (sqrt.f64 (+.f64 y x)))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))))))
(/.f64 (hypot.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3/2 binary64))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 y y)))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))))
(/.f64 (hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 x #s(literal 9/2 binary64))) (sqrt.f64 (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 y x) (+.f64 y x))) (sqrt.f64 (-.f64 y x)))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(sqrt.f64 (+.f64 y x))
(fabs.f64 (sqrt.f64 (+.f64 y x)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (sqrt.f64 x))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 y))) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 y) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 (neg.f64 x))))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 (neg.f64 x)))
(hypot.f64 (sqrt.f64 y) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 y))
(hypot.f64 (sqrt.f64 x) (pow.f64 y #s(literal 1/2 binary64)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 (neg.f64 y))))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 y)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 (+.f64 y x)) #s(literal 1/4 binary64) (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 y x))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))) (sinh.f64 (log.f64 (sqrt.f64 (+.f64 y x)))))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)))
(.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y x) y) (-.f64 (.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (*.f64 (-.f64 y x) (+.f64 y x))) (+.f64 y x))
(.f64 (/.f64 (.f64 (-.f64 y x) (+.f64 y x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x)))
(.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y x)))
(/.f64 (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 y (/.f64 y (-.f64 y x))) (*.f64 x (/.f64 x (-.f64 y x)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x)))))))
(/.f64 (+.f64 (neg.f64 (.f64 x x)) (.f64 (neg.f64 y) y)) (-.f64 y x))
(/.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal 2 binary64))) (+.f64 y x))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 y x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 y x))) (*.f64 y (/.f64 y (-.f64 y x))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 y y)))) (neg.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(/.f64 (-.f64 (.f64 (.f64 y y) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 (neg.f64 y) y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 y y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 y x)) (.f64 (-.f64 y x) (.f64 (neg.f64 y) y))) (pow.f64 (-.f64 y x) #s(literal 2 binary64)))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (.f64 x x)) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) y) (-.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(-.f64 (neg.f64 y) x)
(-.f64 (neg.f64 x) y)
(-.f64 y (neg.f64 x))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))))) (/.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 2 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 9 binary64)) (.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (/.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 x (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 y (fma.f64 (-.f64 y x) y (.f64 x x))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) x) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) y) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 y y (.f64 x x)) (-.f64 y x))) (/.f64 (.f64 (.f64 (neg.f64 y) y) (.f64 y y)) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(+.f64 (cosh.f64 (log.f64 (+.f64 y x))) (sinh.f64 (log.f64 (+.f64 y x))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 y x)))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (/.f64 (.f64 (neg.f64 x) x) (-.f64 y x)))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (/.f64 (.f64 x (neg.f64 x)) (-.f64 y x)))
(+.f64 (.f64 y (/.f64 y (-.f64 y x))) (.f64 x (/.f64 x (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (/.f64 (.f64 (neg.f64 (neg.f64 y)) (neg.f64 y)) (-.f64 y x)))
(+.f64 (.f64 x (/.f64 x (-.f64 y x))) (.f64 y (/.f64 y (-.f64 y x))))
(+.f64 y x)
(+.f64 x y)

eval30.0ms (0.7%)

Memory: -13.8MiB live, 59.6MiB allocated
Compiler: Compiled 6 896 to 897 computations (87% saved)

prune4.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	267	2	269
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	267	3	270

Accuracy

100.0%

Counts

270 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
▶	97.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Compiler

Compiled 25 to 21 computations (16% saved)

simplify4.0ms (0.1%)

Memory

-31.4MiB live, 7.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
cost-diff	0	#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
cost-diff	0	(sqrt.f64 y)
cost-diff	0	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	63
0	21	63
1	29	63
2	34	63
3	35	63
0	35	63

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize32.0ms (0.8%)

Memory

-1.0MiB live, 46.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(neg.f64 x)
accuracy	0.0	#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
accuracy	0.01171875	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
accuracy	0.02734375	(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
accuracy	0.0	(sqrt.f64 y)
accuracy	1.4328364288631361	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Samples

21.0ms

256×

valid

Compiler

Compiled 105 to 27 computations (74.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-sqrt: 3.0ms (25.5% of total)

ival-div: 2.0ms (17% of total)

ival-add: 2.0ms (17% of total)

ival-mult: 2.0ms (17% of total)

ival-neg: 2.0ms (17% of total)

ival-sub: 1.0ms (8.5% of total)

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

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

exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated

Counts

7 → 31

Calls

Call 1

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

Outputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ x y)
(* -1 x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Calls

6 calls:

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

simplify148.0ms (3.6%)

Memory

-5.7MiB live, 185.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	607
1	498	577
2	1956	547
3	5639	543
0	8155	505

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

Inputs
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
y
(+ x y)
(* -1 x)
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* -1 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))

Outputs
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
y
(+ x y)
(+.f64 y x)
(* -1 x)
(neg.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(.f64 (fma.f64 y (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(.f64 (fma.f64 (.f64 y y) (fma.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64)) y (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (fma.f64 y (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64)) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(* -1 y)
(neg.f64 y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* y (+ 1 (/ x y)))
(fma.f64 (/.f64 x y) y y)
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(sqrt.f64 y)
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 #s(literal -1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (.f64 (*.f64 x x) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) y)
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))

rewrite114.0ms (2.8%)

Memory

31.0MiB live, 189.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	49
0	21	49
1	61	49
2	336	49
3	3793	46
0	8681	46

Stop Event

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

Counts

7 → 65

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 y) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 y))
(pow.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1/4 binary64))
(pow.f64 (neg.f64 y) #s(literal 1/2 binary64))
(pow.f64 y #s(literal 1/2 binary64))
(sqrt.f64 y)
(fabs.f64 (sqrt.f64 y))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 1/4 binary64) (*.f64 (log.f64 y) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 y #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/4 binary64)))
(exp.f64 (log.f64 (sqrt.f64 y)))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 y))) (sinh.f64 (log.f64 (sqrt.f64 y))))
(.f64 (neg.f64 (pow.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64))))
(.f64 (pow.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))))
(pow.f64 (neg.f64 (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))))
(fabs.f64 (sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))))
(exp.f64 (fma.f64 (log.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))) #s(literal 1/4 binary64) (.f64 (log.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))) #s(literal 1/4 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))))))
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))))))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))
(exp.f64 (log.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)))))
(+.f64 (cosh.f64 (log.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))))) (sinh.f64 (log.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x y) #s(literal 3 binary64)))) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 (pow.f64 (/.f64 x y) #s(literal 4 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 x y) #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 x y) #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (/.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))) y)
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (neg.f64 y) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (/.f64 (neg.f64 y) #s(literal 1 binary64)))
(*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y))
(*.f64 (neg.f64 y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))
(*.f64 y (neg.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 y)) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 y)) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (neg.f64 y) (neg.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y))) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (neg.f64 (fma.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))
(neg.f64 (*.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) y))
(neg.f64 y)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(neg.f64 x)

eval16.0ms (0.4%)

Memory: -14.5MiB live, 20.9MiB allocated
Compiler: Compiled 1 847 to 371 computations (79.9% saved)

prune2.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	90	4	94

Accuracy

100.0%

Counts

94 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
✓	97.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Compiler

Compiled 54 to 39 computations (27.8% saved)

simplify140.0ms (3.4%)

Memory

-3.2MiB live, 119.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
cost-diff	1	(*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y))
cost-diff	3	(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
cost-diff	11	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	148
0	29	148
1	44	148
2	103	148
3	387	148
4	2136	99
0	8477	98

Stop Event

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

Calls

Call 1

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

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

localize63.0ms (1.5%)

Memory

-2.7MiB live, 71.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
accuracy	0.04296875	(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))
accuracy	0.046875	(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (/.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 y)) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0.20703125	(pow.f64 (/.f64 x y) #s(literal 2 binary64))

Samples

46.0ms

256×

valid

Compiler

Compiled 248 to 37 computations (85.1% saved)

Precisions

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

ival-pow2: 5.0ms (25.3% of total)

ival-div: 3.0ms (15.2% of total)

ival-add: 3.0ms (15.2% of total)

ival-mult: 3.0ms (15.2% of total)

ival-sub: 2.0ms (10.1% of total)

ival-sqrt: 2.0ms (10.1% of total)

ival-neg: 1.0ms (5.1% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.4%)

Memory

25.3MiB live, 25.3MiB allocated

Counts

6 → 70

Calls

Call 1

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

Outputs
y
(+ x y)
(+ y (* 2 x))
(+ y (* x (+ 2 (* 2 (/ x y)))))
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(+ y (* -1 (/ (pow x 2) y)))
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(/ (pow x 2) (pow y 2))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
x
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(* -1 y)
(+ (* -2 (/ (pow y 2) x)) (* -1 y))
(+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2)))))
(+ (* -2 (/ (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (pow x 3))) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ y (pow x 2)) (/ 1 y)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow y 3) x)) (* 2 (pow y 2))) (+ (* -4 (/ (pow y 3) x)) (/ (pow y 3) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (* -1 (/ (+ (* -2 (pow y 4)) (* 2 (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))))) x))) x)) (* 2 (pow y 2))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 y)) (/ 1 x)) x)) (/ 1 (pow y 2))))
(* y (- (* -2 (/ y x)) 1))
(* y (- (* y (- (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))
(* y (- (* y (- (* y (- (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1))
(/ (+ (* -1 (pow x 2)) (pow y 2)) y)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(/ (+ (* -2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ (* y (+ y (* -2 x))) (pow x 2)) (pow y 2))
(* y (+ 1 (* -1 (/ (- x (* 2 x)) y))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))))) (* (pow x 2) (- x (* 2 x))))) (pow y 3))) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2)))))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))
(* y (+ 1 (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) (pow y 3))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))))
(* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (/ (pow x 2) (pow y 2)) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	((* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (* (- (pow (/ x y) 2) 1) (neg y)) (sqrt (+ x y)) (pow (/ x y) 2) (pow (+ -1 (/ x y)) 2))
3.0ms	x	@	inf	((* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (* (- (pow (/ x y) 2) 1) (neg y)) (sqrt (+ x y)) (pow (/ x y) 2) (pow (+ -1 (/ x y)) 2))
3.0ms	x	@	0	((* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (* (- (pow (/ x y) 2) 1) (neg y)) (sqrt (+ x y)) (pow (/ x y) 2) (pow (+ -1 (/ x y)) 2))
2.0ms	y	@	inf	((* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (* (- (pow (/ x y) 2) 1) (neg y)) (sqrt (+ x y)) (pow (/ x y) 2) (pow (+ -1 (/ x y)) 2))
2.0ms	x	@	-inf	((* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (* (- (pow (/ x y) 2) 1) (neg y)) (sqrt (+ x y)) (pow (/ x y) 2) (pow (+ -1 (/ x y)) 2))

simplify243.0ms (6%)

Memory

9.8MiB live, 159.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	414	1580
1	1390	1377
2	5501	1300
0	8448	1220

Stop Event

1×	iter limit
1×	node limit

Counts

70 → 68

Calls

Call 1

Inputs
y
(+ x y)
(+ y (* 2 x))
(+ y (* x (+ 2 (* 2 (/ x y)))))
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(+ y (* -1 (/ (pow x 2) y)))
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(/ (pow x 2) (pow y 2))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
x
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(* -1 y)
(+ (* -2 (/ (pow y 2) x)) (* -1 y))
(+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2)))))
(+ (* -2 (/ (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (pow x 3))) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ y (pow x 2)) (/ 1 y)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow y 3) x)) (* 2 (pow y 2))) (+ (* -4 (/ (pow y 3) x)) (/ (pow y 3) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (* -1 (/ (+ (* -2 (pow y 4)) (* 2 (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))))) x))) x)) (* 2 (pow y 2))) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 y)) (/ 1 x)) x)) (/ 1 (pow y 2))))
(* y (- (* -2 (/ y x)) 1))
(* y (- (* y (- (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))
(* y (- (* y (- (* y (- (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1))
(/ (+ (* -1 (pow x 2)) (pow y 2)) y)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(/ (+ (* -2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ (* y (+ y (* -2 x))) (pow x 2)) (pow y 2))
(* y (+ 1 (* -1 (/ (- x (* 2 x)) y))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))))) (* (pow x 2) (- x (* 2 x))))) (pow y 3))) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2)))))))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ 1 (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))
(* y (+ 1 (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) (pow y 3))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))))
(* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (/ (pow x 2) (pow y 2)) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))

Outputs
y
(+ x y)
(+.f64 y x)
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(+ y (* x (+ 2 (* 2 (/ x y)))))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) x y)
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) #s(literal 2 binary64)) y) x #s(literal 2 binary64)) x y)
(+ y (* -1 (/ (pow x 2) y)))
(-.f64 y (*.f64 x (/.f64 x y)))
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(/ (pow x 2) (pow y 2))
(*.f64 x (/.f64 (/.f64 x y) y))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) y) x #s(literal 1 binary64))
x
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 y) y (*.f64 y y))) x) y) x) x x)
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(fma.f64 (fma.f64 (/.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 (neg.f64 y) y (.f64 y y)))) x) (fma.f64 (neg.f64 y) y (.f64 y y))) (*.f64 x x)) #s(literal -1 binary64) (/.f64 y x)) x x)
(* -1 y)
(neg.f64 y)
(+ (* -2 (/ (pow y 2) x)) (* -1 y))
(fma.f64 (*.f64 y (/.f64 y x)) #s(literal -2 binary64) (neg.f64 y))
(+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2)))))
(fma.f64 #s(literal -1 binary64) y (/.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64)) x)) x))
(+ (* -2 (/ (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (pow x 3))) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))))
(fma.f64 #s(literal -2 binary64) (fma.f64 (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))) y (.f64 y (/.f64 y x))) (-.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 2 binary64)) x)) (.f64 x x)) y))
(* -1 (/ (pow x 2) y))
(*.f64 (neg.f64 x) (/.f64 x y))
(* (pow x 2) (- (/ y (pow x 2)) (/ 1 y)))
(.f64 (-.f64 (/.f64 (/.f64 y x) x) (/.f64 #s(literal 1 binary64) y)) (.f64 x x))
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))))))) x)
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))))
(.f64 (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) y)) y) (.f64 x x))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 2 (* x y))))
(.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (+.f64 (/.f64 #s(literal -2 binary64) x) (/.f64 #s(literal 1 binary64) y)) y)) (.f64 x x))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow y 3) x)) (* 2 (pow y 2))) (+ (* -4 (/ (pow y 3) x)) (/ (pow y 3) x))) x)))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) x)) (neg.f64 x)) y)
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (* -1 (/ (+ (* -2 (pow y 4)) (* 2 (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))))) x))) x)) (* 2 (pow y 2))) x)))
(-.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (/.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -2 binary64) (/.f64 (.f64 #s(literal 2 binary64) (-.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) y))) x)) (neg.f64 x))) (neg.f64 x)) y)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y y) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(.f64 (neg.f64 x) (fma.f64 (.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y y) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 y)) (/ 1 x)) x)) (/ 1 (pow y 2))))
(.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 1 binary64) x)) (neg.f64 x)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (.f64 x x))
(* y (- (* -2 (/ y x)) 1))
(.f64 (-.f64 (.f64 (/.f64 y x) #s(literal -2 binary64)) #s(literal 1 binary64)) y)
(* y (- (* y (- (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))
(.f64 (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal -2 binary64)) x) y) #s(literal 1 binary64)) y)
(* y (- (* y (- (* y (- (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1))
(.f64 (-.f64 (.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 y x) #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 x x)) y (/.f64 #s(literal -2 binary64) x)) y) #s(literal 1 binary64)) y)
(/ (+ (* -1 (pow x 2)) (pow y 2)) y)
(/.f64 (*.f64 (+.f64 y x) (-.f64 y x)) y)
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(fma.f64 (*.f64 y #s(literal 1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1/8 binary64))) y (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))) y (sqrt.f64 x))
(/ (+ (* -2 (* x y)) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (.f64 y x) #s(literal -2 binary64) (.f64 x x)) y) y)
(/ (+ (* y (+ y (* -2 x))) (pow x 2)) (pow y 2))
(/.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -2 binary64) x y) y (*.f64 x x)) y) y)
(* y (+ 1 (* -1 (/ (- x (* 2 x)) y))))
(fma.f64 (/.f64 x y) y y)
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2))))))
(fma.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 x x)) y) x) y) y y)
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))))) (* (pow x 2) (- x (* 2 x))))) (pow y 3))) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2)))))))
(fma.f64 (fma.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x) (/.f64 (-.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 x) x (.f64 x x))) x)) y)) (*.f64 y y)) #s(literal -1 binary64) (/.f64 x y)) y y)
(* y (+ 1 (* 2 (/ x y))))
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)
(* y (+ 1 (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 x x))) (neg.f64 y))) y) y y)
(* y (+ 1 (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) (pow y 3))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))))
(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 x x))) x (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 x x))) (neg.f64 y))) y)) y y)
(* y (+ 1 (* -1 (/ (pow x 2) (pow y 2)))))
(*.f64 (fma.f64 (/.f64 x (neg.f64 y)) (/.f64 x y) #s(literal 1 binary64)) y)
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(.f64 (+.f64 (fma.f64 (.f64 (.f64 #s(literal -1/8 binary64) x) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) y)
(+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) y) x #s(literal 1 binary64))
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1)))
(*.f64 (-.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) y) x) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x x) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 (fma.f64 (neg.f64 x) x (.f64 x x)) x) #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y)) x) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(.f64 (-.f64 (.f64 #s(literal -2 binary64) (/.f64 x y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 x x))) (neg.f64 y)))) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (.f64 x x))) x (pow.f64 x #s(literal 3 binary64))) y) (-.f64 (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 x x)))) (neg.f64 y))) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (/ (pow x 2) (pow y 2)) 1)))
(.f64 (-.f64 (.f64 x (/.f64 (/.f64 x y) y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 y) #s(literal 1 binary64))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(fma.f64 (.f64 #s(literal -1/2 binary64) x) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) y) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(.f64 (fma.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)))) (neg.f64 y))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(.f64 (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/16 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 (.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) #s(literal -1/8 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))))) (neg.f64 y))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))
(fma.f64 (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 x y)) y) x #s(literal 1 binary64))

rewrite437.0ms (10.8%)

Memory

-178.4MiB live, 225.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	93
0	29	93
1	106	93
2	690	69
0	9388	69

Stop Event

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

Counts

6 → 375

Calls

Call 1

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

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

eval118.0ms (2.9%)

Memory: -17.6MiB live, 102.8MiB allocated
Compiler: Compiled 17 489 to 2 573 computations (85.3% saved)

prune7.0ms (0.2%)

Memory

27.6MiB live, 27.6MiB allocated

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	439	2	441
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	440	5	445

Accuracy

100.0%

Counts

445 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
▶	98.5%	(sqrt.f64 #s(approx (+ x y) (.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	97.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Compiler

Compiled 96 to 64 computations (33.3% saved)

simplify136.0ms (3.4%)

Memory

-11.0MiB live, 98.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	1	(*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff	1	(.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
cost-diff	8	(/.f64 (.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64)))
cost-diff	12	(.f64 (/.f64 (.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff	0	(.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
cost-diff	0	#s(approx (+ x y) (.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y))))
cost-diff	0	(sqrt.f64 #s(approx (+ x y) (.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
cost-diff	4	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	333
0	51	333
1	80	333
2	197	333
3	732	333
4	3548	228
0	9136	218

Stop Event

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

Calls

Call 1

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

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

localize88.0ms (2.2%)

Memory

-5.7MiB live, 117.2MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
accuracy	0.033535009768442016	(.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
accuracy	0.04296875	(pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))
accuracy	0.046875	(.f64 (/.f64 (.f64 (*.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (pow.f64 (+.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0.01171875	(sqrt.f64 #s(approx (+ x y) (.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
accuracy	0.0234375	(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)
accuracy	0.046875	(.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
accuracy	0.9825518382311946	#s(approx (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y))

Samples

68.0ms

256×

valid

Compiler

Compiled 526 to 64 computations (87.8% saved)

Precisions

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

ival-add: 24.0ms (46.1% of total)

ival-mult: 10.0ms (19.2% of total)

ival-div: 6.0ms (11.5% of total)

ival-pow2: 5.0ms (9.6% of total)

ival-sub: 3.0ms (5.8% of total)

ival-sqrt: 2.0ms (3.8% of total)

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

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

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

exact: 0.0ms (0% of total)

series26.0ms (0.6%)

Memory

13.9MiB live, 51.0MiB allocated

Counts

11 → 98

Calls

Call 1

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

Outputs
y
(+ y (* 2 x))
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ x y)
(+ y (* x (+ 2 (* 2 (/ x y)))))
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(+ y (* -1 (/ (pow x 2) y)))
(* -1 y)
(+ x (* -1 y))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
(* 2 x)
(* x (+ 2 (/ y x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x))))
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2))))))))
(+ (* -2 (/ (pow y 2) x)) (* -1 y))
(- (+ (* -1 y) (/ (pow y 3) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (* 4 (/ (pow y 3) (pow x 2))))))
(- (+ (* -1 y) (+ (* -1 (/ (+ (* -2 (* y (- (pow y 3) (+ (* -1 (pow y 3)) (* 4 (pow y 3)))))) (* -2 (pow y 4))) (pow x 3))) (/ (pow y 3) (pow x 2)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (* 4 (/ (pow y 3) (pow x 2))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ y (pow x 2)) (/ 1 y)))
(* x (+ 1 (* -1 (/ y x))))
(+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2)))))
(+ (* -2 (/ (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (pow x 3))) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (+ (* -1 y) (* -1 (/ (pow y 2) x))) (/ (pow y 2) x))
(+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (pow y 2))) (* -1 (/ (* y (- (* -1 (pow y 2)) (pow y 2))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (pow y 2))) (* -1 (/ (+ (* y (- (* -1 (pow y 2)) (pow y 2))) (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow y 3) x)) (* 2 (pow y 2))) (+ (* -4 (/ (pow y 3) x)) (/ (pow y 3) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (* -1 (/ (+ (* -2 (pow y 4)) (* 2 (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))))) x))) x)) (* 2 (pow y 2))) x)))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 y)) (/ 1 x)) x)) (/ 1 (pow y 2))))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (- (* -2 (/ y x)) 1))
(* y (- (* y (- (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))
(* y (- (* y (- (* y (- (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1))
(/ (+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) y)
(/ (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) y)
(/ (+ (* -2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ (* y (+ y (* -2 x))) (pow x 2)) (pow y 2))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 (/ (- x (* 2 x)) y))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))))) (* (pow x 2) (- x (* 2 x))))) (pow y 3))) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2)))))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -2 (/ x y))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (+ x (* -1 x)) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* -2 (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (+ x (* -1 x)) (* -2 x)))) (pow x 2))))) (* (pow x 2) (- (+ x (* -1 x)) (* -2 x)))) (pow y 3))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (+ x (* -1 x)) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* y (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* y (- (/ x y) 1))
(* y (+ 1 (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))
(* y (+ 1 (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) (pow y 3))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))))
(+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (+ (* -1 (/ x y)) (/ x y)) (+ 1 (* 2 (/ x y))))))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (pow x 2) y))) (+ (* 2 (/ (* x (- (+ x (* -1 x)) (* 2 x))) y)) (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (+ (* -1 (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2)))) (* -1 (/ (+ (* 2 (* x (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2))))) (* (pow x 2) (- (+ x (* -1 x)) (* 2 x)))) y))) y))) y)) 1)))
(* -1 (* y (- (+ (* -1 (/ x y)) (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	((* (+ (* (/ 2 y) x) 1) y) (sqrt (+ x y)) (+ x y) (* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (* (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (* (neg y) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (pow (+ -1 (/ x y)) 2) (sqrt (+ x y)))
5.0ms	y	@	inf	((* (+ (* (/ 2 y) x) 1) y) (sqrt (+ x y)) (+ x y) (* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (* (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (* (neg y) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (pow (+ -1 (/ x y)) 2) (sqrt (+ x y)))
3.0ms	x	@	0	((* (+ (* (/ 2 y) x) 1) y) (sqrt (+ x y)) (+ x y) (* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (* (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (* (neg y) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (pow (+ -1 (/ x y)) 2) (sqrt (+ x y)))
3.0ms	y	@	0	((* (+ (* (/ 2 y) x) 1) y) (sqrt (+ x y)) (+ x y) (* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (* (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (* (neg y) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (pow (+ -1 (/ x y)) 2) (sqrt (+ x y)))
3.0ms	x	@	inf	((* (+ (* (/ 2 y) x) 1) y) (sqrt (+ x y)) (+ x y) (* (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (* (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (- 1 (/ x y))) (/ (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (pow (+ -1 (/ x y)) 2)) (* (* (neg y) (- 1 (/ x y))) (- -1 (/ x y))) (* (neg y) (- 1 (/ x y))) (/ (* (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (pow (+ -1 (/ x y)) 2) (sqrt (+ x y)))

simplify188.0ms (4.6%)

Memory

-10.0MiB live, 232.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	589	2273
1	2002	1907
0	8452	1811

Stop Event

1×	iter limit
1×	node limit

Counts

98 → 96

Calls

Call 1

Inputs
y
(+ y (* 2 x))
(sqrt y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(+ x y)
(+ y (* x (+ 2 (* 2 (/ x y)))))
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(+ y (* -1 (/ (pow x 2) y)))
(* -1 y)
(+ x (* -1 y))
1
(+ 1 (* -2 (/ x y)))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
(* 2 x)
(* x (+ 2 (/ y x)))
(sqrt x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
x
(* x (+ 1 (/ y x)))
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x))))
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))))
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2))))))))
(+ (* -2 (/ (pow y 2) x)) (* -1 y))
(- (+ (* -1 y) (/ (pow y 3) (pow x 2))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (* 4 (/ (pow y 3) (pow x 2))))))
(- (+ (* -1 y) (+ (* -1 (/ (+ (* -2 (* y (- (pow y 3) (+ (* -1 (pow y 3)) (* 4 (pow y 3)))))) (* -2 (pow y 4))) (pow x 3))) (/ (pow y 3) (pow x 2)))) (+ (* -1 (/ (pow y 3) (pow x 2))) (+ (* 2 (/ (pow y 2) x)) (* 4 (/ (pow y 3) (pow x 2))))))
(* -1 (/ (pow x 2) y))
(* (pow x 2) (- (/ y (pow x 2)) (/ 1 y)))
(* x (+ 1 (* -1 (/ y x))))
(+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2)))))
(+ (* -2 (/ (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (pow x 3))) (+ (* -2 (/ (pow y 2) x)) (+ (* -1 y) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3))) (pow x 2))) (* 2 (/ (pow y 4) (pow x 3)))))))
(/ (pow x 2) (pow y 2))
(* (pow x 2) (- (/ 1 (pow y 2)) (* 2 (/ 1 (* x y)))))
(* (pow x 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 2 (* x y))))
(* -1 (* x (- (* -1 (/ y x)) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(- (+ (* -1 y) (* -1 (/ (pow y 2) x))) (/ (pow y 2) x))
(+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (pow y 2))) (* -1 (/ (* y (- (* -1 (pow y 2)) (pow y 2))) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (- (* -1 (pow y 2)) (pow y 2))) (* -1 (/ (+ (* y (- (* -1 (pow y 2)) (pow y 2))) (/ (* (pow y 2) (- (* -1 (pow y 2)) (pow y 2))) x)) x))) x)))
(* -1 (* x (- (/ y x) 1)))
(+ (* -1 y) (* -1 (/ (- (+ (* -1 (/ (pow y 3) x)) (* 2 (pow y 2))) (+ (* -4 (/ (pow y 3) x)) (/ (pow y 3) x))) x)))
(+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))) (* -1 (/ (+ (* -2 (pow y 4)) (* 2 (* y (- (* -1 (pow y 3)) (+ (* -4 (pow y 3)) (pow y 3)))))) x))) x)) (* 2 (pow y 2))) x)))
(* (pow x 2) (+ (* -1 (/ (- (* 2 (/ 1 y)) (/ 1 x)) x)) (/ 1 (pow y 2))))
(+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))
(+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))
(+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))
(* y (- (* -2 (/ y x)) 1))
(* y (- (* y (- (* -2 (/ y (pow x 2))) (* 2 (/ 1 x)))) 1))
(* y (- (* y (- (* y (- (* -2 (/ y (pow x 3))) (* 2 (/ 1 (pow x 2))))) (* 2 (/ 1 x)))) 1))
(/ (+ (* -1 (pow x 2)) (* y (+ x (* -1 x)))) y)
(/ (+ (* -1 (pow x 2)) (* y (+ x (+ y (* -1 x))))) y)
(/ (+ (* -2 (* x y)) (pow x 2)) (pow y 2))
(/ (+ (* y (+ y (* -2 x))) (pow x 2)) (pow y 2))
(* y (+ 1 (* 2 (/ x y))))
(* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))
(* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (pow x 3) (sqrt (/ 1 (pow y 7))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
(* y (+ 1 (/ x y)))
(* y (+ 1 (* -1 (/ (- x (* 2 x)) y))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ (- x (* 2 x)) y)) (+ (* -1 (/ (- (* -1 (pow x 3)) (+ (* -2 (* x (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))))) (* (pow x 2) (- x (* 2 x))))) (pow y 3))) (* -1 (/ (- (pow x 2) (+ (* -2 (* x (- x (* 2 x)))) (* -1 (pow x 2)))) (pow y 2)))))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (/ x y))) (* -2 (/ x y))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (+ x (* -1 x)) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(* y (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (+ (* -2 (* x (- (* -1 (pow x 2)) (+ (* -2 (* x (- (+ x (* -1 x)) (* -2 x)))) (pow x 2))))) (* (pow x 2) (- (+ x (* -1 x)) (* -2 x)))) (pow y 3))) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y))))) (+ (* -2 (/ x y)) (+ (* -2 (/ (* x (- (+ x (* -1 x)) (* -2 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))))
(* y (+ 1 (+ (* -1 (/ x y)) (/ x y))))
(* y (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ x y)))))
(* y (- (/ x y) 1))
(* y (+ 1 (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))
(* y (+ 1 (+ (* -2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) (pow y 3))) (+ (* -2 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) (pow y 2))) (* 2 (/ x y)))))))
(+ 1 (+ (* -2 (/ x y)) (/ (pow x 2) (pow y 2))))
(* -1 (* y (- (* -2 (/ x y)) 1)))
(* -1 (* (sqrt y) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (/ (pow x 2) (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 5))))) (+ (* 1/16 (* (/ (pow x 3) (pow (sqrt -1) 4)) (sqrt (/ 1 (pow y 7))))) (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 x) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (pow x 3) (+ (* 2 (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))))) (* (pow x 2) (- (* -1 x) (* -2 x))))) y)) (pow x 2)) (+ (* -1 (pow x 2)) (* 2 (* x (- (* -1 x) (* -2 x)))))) y))) (* -2 x)) y)) 1)))
(* -1 (* y (- (+ (* -1 (/ x y)) (/ x y)) (+ 1 (* 2 (/ x y))))))
(* -1 (* y (- (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (pow x 2) y))) (+ (* 2 (/ (* x (- (+ x (* -1 x)) (* 2 x))) y)) (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (+ (* -1 (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2)))) (* -1 (/ (+ (* 2 (* x (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2))))) (* (pow x 2) (- (+ x (* -1 x)) (* 2 x)))) y))) y))) y)) 1)))
(* -1 (* y (- (+ (* -1 (/ x y)) (/ x y)) 1)))
(* -1 (* y (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (pow x 2) y))) y)) 1)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))

Outputs
y
(+ y (* 2 x))
(fma.f64 #s(literal 2 binary64) x y)
(sqrt y)
(sqrt.f64 y)
(+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))
(fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/16 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/8 binary64))) x (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1/2 binary64))) x (sqrt.f64 y))
(+ x y)
(+.f64 x y)
(+ y (* x (+ 2 (* 2 (/ x y)))))
(fma.f64 (fma.f64 #s(literal 2 binary64) (/.f64 x y) #s(literal 2 binary64)) x y)
(+ y (* x (+ 2 (* x (+ (* 2 (/ x (pow y 2))) (* 2 (/ 1 y)))))))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) y)) x #s(literal 2 binary64)) x y)
(+ y (* -1 (/ (pow x 2) y)))
(-.f64 y (*.f64 x (/.f64 x y)))
(* -1 y)
(neg.f64 y)
(+ x (* -1 y))
(-.f64 x y)
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(fma.f64 #s(literal -2 binary64) (/.f64 x y) #s(literal 1 binary64))
(+ 1 (* x (- (/ x (pow y 2)) (* 2 (/ 1 y)))))
(fma.f64 (-.f64 (/.f64 (/.f64 x y) y) (/.f64 #s(literal 2 binary64) y)) x #s(literal 1 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (/ y x)))
(*.f64 (+.f64 (/.f64 y x) #s(literal 2 binary64)) x)
(sqrt x)
(sqrt.f64 x)
(* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))
(.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)
(* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (pow y 3))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
(.f64 (+.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))) (.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))))) x)
x
(* x (+ 1 (/ y x)))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (* -1 (/ (- y (* 2 y)) x))))
(fma.f64 (/.f64 y x) x x)
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2))))))
(fma.f64 (-.f64 (/.f64 y x) (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) x) x)) x x)
(* x (+ 1 (+ (* -1 (/ (- y (* 2 y)) x)) (+ (* -1 (/ (- (* -1 (pow y 3)) (+ (* -2 (* y (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))))) (* (pow y 2) (- y (* 2 y))))) (pow x 3))) (* -1 (/ (- (pow y 2) (+ (* -2 (* y (- y (* 2 y)))) (* -1 (pow y 2)))) (pow x 2)))))))
(fma.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) (fma.f64 (neg.f64 y) y (.f64 y y))) y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (/.f64 y x) (/.f64 (/.f64 (fma.f64 (neg.f64 y) y (*.f64 y y)) x) x))) x x)
(* x (- (+ 1 (* -1 (/ y x))) (* -2 (/ y x))))
(fma.f64 (/.f64 y x) x x)
(* x (- (+ 1 (+ (* -1 (/ y x)) (* -1 (/ (pow y 2) (pow x 2))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))))
(.f64 (-.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 y x) x) y (/.f64 y x)) #s(literal -1 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) #s(literal -2 binary64) (/.f64 (/.f64 (.f64 (neg.f64 y) y) x) x))) x)
(* x (- (+ 1 (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 3) (pow x 3))))) (+ (* -2 (/ y x)) (+ (* -2 (/ (* y (- (* -1 y) (* -2 y))) (pow x 2))) (+ (* -2 (/ (* y (- (* -1 (pow y 2)) (+ (* -2 (* y (- (* -1 y) (* -2 y)))) (pow y 2)))) (pow x 3))) (+ (/ (* (pow y 2) (- (* -1 y) (* -2 y))) (pow x 3)) (/ (pow y 2) (pow x 2))))))))
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(* -1 (* y (- (* -1 (/ (- (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (pow x 2) y))) (+ (* 2 (/ (* x (- (+ x (* -1 x)) (* 2 x))) y)) (/ (pow x 2) y))) y)) 1)))
(.f64 (-.f64 (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) x (.f64 x (/.f64 x y)))) (/.f64 (fma.f64 (neg.f64 x) x (.f64 (.f64 #s(literal -2 binary64) x) x)) y)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (+ (* -1 (- (+ x (* -1 x)) (* 2 x))) (* -1 (/ (+ (* -1 (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2)))) (* -1 (/ (+ (* 2 (* x (- (* -1 (pow x 2)) (+ (* 2 (* x (- (+ x (* -1 x)) (* 2 x)))) (pow x 2))))) (* (pow x 2) (- (+ x (* -1 x)) (* 2 x)))) y))) y))) y)) 1)))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x (/.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (-.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)) (.f64 #s(literal 2 binary64) x) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) y) (-.f64 (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -2 binary64) x) x)) (.f64 x x)))) y))) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (+ (* -1 (/ x y)) (/ x y)) 1)))
y
(* -1 (* y (- (* -1 (/ (+ (* -1 (+ x (* -1 x))) (* -1 (/ (pow x 2) y))) y)) 1)))
(.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x y) #s(literal 0 binary64))) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3 binary64))) (neg.f64 y)))) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (+ (* 2 (/ (* x (- (pow x 2) (+ (* -1 (pow x 2)) (* 4 (pow x 2))))) y)) (+ (* 2 (/ (pow x 3) y)) (pow x 2))) (+ (* -1 (pow x 2)) (* 4 (pow x 2)))) y)) (* -2 x)) y)) 1)))
(.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (fma.f64 #s(literal 2 binary64) (fma.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 3 binary64))) (/.f64 x y) (/.f64 (pow.f64 x #s(literal 3 binary64)) y)) (-.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 3 binary64)))) (neg.f64 y))) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y))
(+ 1 (* -1 (/ (+ (* -1 (/ (pow x 2) y)) (* 2 x)) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) x (/.f64 (*.f64 x x) (neg.f64 y))) y))

rewrite163.0ms (4%)

Memory

6.0MiB live, 164.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	255
0	51	255
1	162	255
2	1049	194
0	9479	194

Stop Event

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

Counts

11 → 400

Calls

Call 1

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

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

eval96.0ms (2.4%)

Memory: -10.1MiB live, 110.0MiB allocated
Compiler: Compiled 21 218 to 2 853 computations (86.6% saved)

prune9.0ms (0.2%)

Memory

21.9MiB live, 21.9MiB allocated

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	492	1	493
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	493	5	498

Accuracy

100.0%

Counts

498 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (.f64 (.f64 (neg.f64 y) (-.f64 #s(literal 1 binary64) (/.f64 x y))) (-.f64 #s(literal -1 binary64) (/.f64 x y))) (.f64 (-.f64 (/.f64 x y) #s(literal 1 binary64)) (-.f64 (/.f64 x y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
✓	98.5%	(sqrt.f64 #s(approx (+ x y) (.f64 #s(approx (/ ( (- (pow (/ x y) 2) 1) (neg y)) (pow (+ -1 (/ x y)) 2)) (*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) x #s(literal 1 binary64)) y)) (-.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	97.8%	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Compiler

Compiled 262 to 123 computations (53.1% saved)

regimes10.0ms (0.3%)

Memory

11.1MiB live, 11.1MiB allocated

Counts

7 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 x y))

Calls

4 calls:

3.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	(+.f64 x y)
2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(sqrt.f64 (+.f64 x y))`
100.0%	1	`(+.f64 x y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes27.0ms (0.7%)

Memory

-30.1MiB live, 9.3MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Calls

4 calls:

24.0ms	(sqrt.f64 (+.f64 x y))
1.0ms	y
1.0ms	(+.f64 x y)
1.0ms	x

Results

Accuracy	Segments	Branch
97.8%	1	`x`
97.8%	1	`y`
97.8%	1	`(sqrt.f64 (+.f64 x y))`
97.8%	1	`(+.f64 x y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify9.0ms (0.2%)

Memory

12.8MiB live, 12.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Outputs
(sqrt.f64 (+.f64 x y))
#s(approx (sqrt (+ x y)) (sqrt.f64 y))

soundness176.0ms (4.3%)

Memory

-16.6MiB live, 101.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	603
1	496	573
2	1984	543
3	6459	543
0	8257	505

Stop Event

1×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 13 to 11 computations (15.4% saved)

preprocess16.0ms (0.4%)

Memory: 19.5MiB live, 19.5MiB allocated
Remove: (sort x y)
Compiler: Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze16.0ms (0.4%)

sample1.2s (30.2%)

explain61.0ms (1.5%)

preprocess12.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize16.0ms (0.4%)

series5.0ms (0.1%)

simplify157.0ms (3.9%)

rewrite237.0ms (5.8%)

eval30.0ms (0.7%)

prune4.0ms (0.1%)

simplify4.0ms (0.1%)

localize32.0ms (0.8%)

series7.0ms (0.2%)

simplify148.0ms (3.6%)

rewrite114.0ms (2.8%)

eval16.0ms (0.4%)

prune2.0ms (0.1%)

simplify140.0ms (3.4%)

localize63.0ms (1.5%)

series17.0ms (0.4%)

simplify243.0ms (6%)

rewrite437.0ms (10.8%)

eval118.0ms (2.9%)

prune7.0ms (0.2%)

simplify136.0ms (3.4%)

localize88.0ms (2.2%)

series26.0ms (0.6%)

simplify188.0ms (4.6%)

rewrite163.0ms (4%)

eval96.0ms (2.4%)

prune9.0ms (0.2%)

regimes10.0ms (0.3%)

regimes27.0ms (0.7%)

simplify9.0ms (0.2%)

soundness176.0ms (4.3%)

preprocess16.0ms (0.4%)

end0.0ms (0%)

Profiling