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 (0.5%)

Memory

11.5MiB live, 11.5MiB 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)

sample1.1s (34.9%)

Memory

5.2MiB live, 605.8MiB allocated

Samples

705.0ms	8 256×	0	valid
16.0ms	471×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-add: 150.0ms (64% of total)

ival-sqrt: 74.0ms (31.6% of total)

ival-true: 7.0ms (3% of total)

ival-assert: 4.0ms (1.7% of total)

Bogosity

explain66.0ms (2%)

Memory

15.1MiB live, 93.6MiB 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

Total Time

7.339111328125

Average Time

0.02866840362548828

Samples

9.0ms

256×

valid

Compiler

Compiled 33 to 18 computations (45.5% saved)

Precisions

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

ival-sqrt: 2.0ms (57.6% of total)

ival-add: 1.0ms (28.8% of total)

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

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

preprocess30.0ms (0.9%)

Memory

-3.7MiB live, 39.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	26	22
2	41	22
3	63	22
4	116	22
5	155	22
6	194	22
7	205	22
8	207	22
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

1.0MiB live, 1.0MiB 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)

simplify5.0ms (0.2%)

Memory

-31.8MiB live, 5.0MiB 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

localize13.0ms (0.4%)

Memory

30.7MiB live, 30.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(sqrt.f64 (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 20 to 10 computations (50% saved)

Precisions

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

ival-sqrt: 2.0ms (56.1% of total)

ival-add: 1.0ms (28.1% of total)

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

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

series7.0ms (0.2%)

Memory

-26.0MiB live, 12.9MiB 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
2.0ms	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))

simplify200.0ms (6.1%)

Memory

32.8MiB live, 226.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	583
1	454	553
2	1425	535
3	4629	523
0	8199	487

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

rewrite248.0ms (7.6%)

Memory

-12.8MiB live, 266.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	22	7
2	145	7
3	1366	7
0	8310	7

Stop Event

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

Counts

2 → 226

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 (sqrt.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 y (+.f64 y x) (*.f64 x x))))
(.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) (fma.f64 (-.f64 y x) y (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (pow.f64 (pow.f64 (.f64 (-.f64 x y) (+.f64 y x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (-.f64 x y) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/4 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 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) (fma.f64 (-.f64 y x) y (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 y x)))
(.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x y) (+.f64 y x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x y)))))
(.f64 (neg.f64 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 y x))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))))
(.f64 (sqrt.f64 (.f64 (+.f64 y x) (-.f64 y x))) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x y))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y))))
(.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (*.f64 y y))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 x y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 y x) y (.f64 x x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (-.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 (-.f64 x y) (+.f64 y x))))
(.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)) (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))
(.f64 (sqrt.f64 (.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (-.f64 x y) #s(literal -1/2 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 (hypot.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 y x)) #s(literal 1 binary64))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log.f64 (+.f64 y x)))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) #s(literal -1 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 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x))))) (neg.f64 (neg.f64 (sqrt.f64 (-.f64 x y)))))
(/.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 (neg.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 y x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y y)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) x y))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y))) (hypot.f64 y x))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x y))) (sqrt.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))) (hypot.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (neg.f64 y) #s(literal 3/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))) (sqrt.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y x) #s(literal 3 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 x (/.f64 x (-.f64 x y)) (*.f64 y (/.f64 y (-.f64 x y))))))
(/.f64 (sqrt.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (*.f64 y (/.f64 y (-.f64 x y))))))))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 y x)))) (sqrt.f64 (neg.f64 (-.f64 y x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y)))) (sqrt.f64 (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x)))) (neg.f64 (sqrt.f64 (-.f64 x y))))
(/.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 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (.f64 (fma.f64 y y (.f64 x x)) (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) (sqrt.f64 (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) (sqrt.f64 (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.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 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 y 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 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x))) (sqrt.f64 (-.f64 y x)))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (.f64 x x) (.f64 y y))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x y)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 y x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (+.f64 y x))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 x y) (+.f64 y x))) (sqrt.f64 (-.f64 x y)))
(/.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))
(hypot.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(hypot.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)))
(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 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 (-.f64 x y) (+.f64 y x)))) (exp.f64 (neg.f64 (log.f64 (-.f64 x y)))))
(.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (exp.f64 (neg.f64 (log.f64 (fma.f64 (-.f64 y x) y (.f64 x x))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 x y) (+.f64 y x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x 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) (fma.f64 (-.f64 y x) y (neg.f64 (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 x y)) (pow.f64 (fma.f64 y y (.f64 x x)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 x y)) (pow.f64 (fma.f64 (.f64 y y) (fma.f64 y y (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))) (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (fma.f64 (-.f64 y x) y (.f64 x x))) (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 y x) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))))
(.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))))
(.f64 (neg.f64 (.f64 (+.f64 y x) (-.f64 y x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x))))
(.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (+.f64 y x)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y (*.f64 x x)) (-.f64 x y))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 y y (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x y))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
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(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) y)
(fma.f64 (/.f64 (.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (.f64 x x)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (/.f64 (.f64 x x) (.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (neg.f64 (.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x y)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 (.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(fma.f64 (.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(fma.f64 x (/.f64 x (-.f64 x y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 x y)))))
(-.f64 (/.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))) (/.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (-.f64 x y) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 x y))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (-.f64 x y) (.f64 y y)) (pow.f64 (-.f64 x y) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))) (/.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 (-.f64 x y) (fma.f64 y y (.f64 x x)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (-.f64 x y) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (pow.f64 y #s(literal 6 binary64)) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x y)) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (neg.f64 (+.f64 y x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (.f64 x x))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)) (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x y)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #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 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (.f64 y y) (-.f64 y x)) (/.f64 (.f64 x x) (-.f64 y x)))
(-.f64 #s(literal 0 binary64) (neg.f64 (+.f64 y x)))
(-.f64 (.f64 x (/.f64 x (-.f64 x y))) (.f64 y (/.f64 y (-.f64 x y))))
(-.f64 x (neg.f64 y))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 y x))) #s(literal -1 binary64)))
(exp.f64 (log.f64 (+.f64 y x)))
(+.f64 (/.f64 (.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (.f64 x x) (-.f64 y x))))
(+.f64 (.f64 x (/.f64 x (-.f64 x y))) (neg.f64 (.f64 y (/.f64 y (-.f64 x y)))))
(+.f64 y x)
(+.f64 x y)

eval31.0ms (0.9%)

Memory: 8.8MiB live, 44.4MiB allocated
Compiler: Compiled 5 667 to 883 computations (84.4% saved)

prune4.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	245	2	247
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	245	3	248

Accuracy

100.0%

Counts

248 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.7%	(.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)))))
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	98.7%	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Compiler

Compiled 34 to 20 computations (41.2% saved)

simplify48.0ms (1.5%)

Memory

-42.0MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 (-.f64 y x) y (*.f64 x x))
cost-diff	0	(sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))
cost-diff	0	(.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)))))
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	86
0	24	86
1	30	86
2	40	86
3	62	86
4	96	86
5	170	86
6	309	86
7	487	86
8	595	86
9	776	86
10	1227	86
11	1386	86
12	1432	86
13	1457	86
14	1470	86
0	1470	86

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

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
(sqrt.f64 y)
y
(.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 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (.f64 x x)))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 (-.f64 y x) y (*.f64 x x))
(-.f64 y x)
y
x
(*.f64 x x)
(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(+.f64 y x)

localize44.0ms (1.3%)

Memory

13.5MiB live, 49.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
accuracy	0.2734375	(.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)))))
accuracy	28.812831611534232	(sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))
accuracy	28.921647893969865	(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))
accuracy	0	(sqrt.f64 y)
accuracy	0.831977832253922	#s(approx (sqrt (+ x y)) (sqrt.f64 y))

Samples

34.0ms

256×

valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-sqrt: 6.0ms (30.9% of total)

ival-mult: 5.0ms (25.8% of total)

ival-add: 4.0ms (20.6% of total)

ival-div: 3.0ms (15.5% of total)

ival-sub: 1.0ms (5.2% of total)

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

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

series15.0ms (0.5%)

Memory

21.8MiB live, 21.8MiB allocated

Counts

8 → 104

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
(sqrt.f64 y)
(.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)))))
(sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 (-.f64 y x) y (*.f64 x x))
(-.f64 y x)
(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x 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
(+ y (* -1/2 x))
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(pow y 2)
(+ (* -1 (* x y)) (pow y 2))
(+ (* x (+ x (* -1 y))) (pow y 2))
(+ y (* -1 x))
(/ 1 y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(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 (* -1/2 (/ y x))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(/ 1 x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)) (pow x 2))) (/ y x))) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (- y (* -1 y)) 2))) (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))))
(* -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 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) x)) (* 1/2 (- (pow y 2) (* 1/4 (pow y 2))))) x)) (* 1/2 y)) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (- (* -1 (/ (- y (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (+ (* -1 (/ (pow y 2) x)) (/ (* y (- y (* -1 y))) x))) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x)) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x))) (* -1 y)) x)) 1) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (+ (* -1/4 (/ (* x (pow (- y (* -1 y)) 2)) (pow (sqrt -1) 2))) (* (pow y 2) (- y (* -1 y)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))))))
(+ x (* -1/2 y))
(+ x (* y (- (* 3/8 (/ y x)) 1/2)))
(+ x (* y (- (* y (+ (* 3/16 (/ y (pow x 2))) (* 3/8 (/ 1 x)))) 1/2)))
(+ (* -1 (* x y)) (pow x 2))
(+ (* y (+ y (* -1 x))) (pow x 2))
(- y x)
(+ (* 2 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 2 (/ 1 (pow x 2))) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) y))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/2 (* (sqrt (/ 1 (pow x 9))) 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 (* -1/2 (/ x y))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) (pow y 3))) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2)))))))
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (* -1 (/ x y))))
(/ (- (+ 1 (/ x y)) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) (pow y 2))) (/ x y))) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) (pow y 3))) (/ x y))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
(+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* y (pow (- x (* -1 x)) 2))) (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x))))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))))
(* -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 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) y)) (* 1/2 (- (pow x 2) (* 1/4 (pow x 2))))) y)) (* 1/2 x)) y)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (- (* -1 (/ (- x (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (- x (* -1 x))) y))) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y)) (/ (* (pow x 2) (- x (* -1 x))) y)) (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y))) (* -1 x)) y)) 1) y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (+ (* -1/4 (/ (* y (pow (- x (* -1 x)) 2)) (pow (sqrt -1) 2))) (* (pow x 2) (- x (* -1 x)))))))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))

Calls

6 calls:

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

simplify208.0ms (6.4%)

Memory

-9.3MiB live, 182.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	552	2386
1	1776	2144
2	5722	2104
0	8619	1962

Stop Event

1×	iter limit
1×	node limit

Counts

104 → 102

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
(+ y (* -1/2 x))
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(pow y 2)
(+ (* -1 (* x y)) (pow y 2))
(+ (* x (+ x (* -1 y))) (pow y 2))
(+ y (* -1 x))
(/ 1 y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(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 (* -1/2 (/ y x))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(pow x 2)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(* -1 x)
(* x (- (/ y x) 1))
(/ 1 x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)) (pow x 2))) (/ y x))) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (- y (* -1 y)) 2))) (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))))
(* -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 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) x)) (* 1/2 (- (pow y 2) (* 1/4 (pow y 2))))) x)) (* 1/2 y)) x)))))
(* (pow x 2) (+ 1 (* -1 (/ (+ y (* -1 (/ (pow y 2) x))) x))))
(* -1 (* x (+ 1 (* -1 (/ y x)))))
(* -1 (/ (- (* -1 (/ (- y (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (+ (* -1 (/ (pow y 2) x)) (/ (* y (- y (* -1 y))) x))) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x)) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x))) (* -1 y)) x)) 1) x))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (+ (* -1/4 (/ (* x (pow (- y (* -1 y)) 2)) (pow (sqrt -1) 2))) (* (pow y 2) (- y (* -1 y)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 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)))))))
(+ x (* -1/2 y))
(+ x (* y (- (* 3/8 (/ y x)) 1/2)))
(+ x (* y (- (* y (+ (* 3/16 (/ y (pow x 2))) (* 3/8 (/ 1 x)))) 1/2)))
(+ (* -1 (* x y)) (pow x 2))
(+ (* y (+ y (* -1 x))) (pow x 2))
(- y x)
(+ (* 2 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 2 (/ 1 (pow x 2))) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) y))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/2 (* (sqrt (/ 1 (pow x 9))) 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 (* -1/2 (/ x y))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) (pow y 3))) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2)))))))
(* (pow y 2) (+ 1 (* -1 (/ x y))))
(* (pow y 2) (- (+ 1 (/ (pow x 2) (pow y 2))) (/ x y)))
(* y (+ 1 (* -1 (/ x y))))
(/ (- (+ 1 (/ x y)) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) (pow y 2))) (/ x y))) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) (pow y 3))) (/ x y))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) y)
(+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* y (pow (- x (* -1 x)) 2))) (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x))))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))))
(* -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 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) y)) (* 1/2 (- (pow x 2) (* 1/4 (pow x 2))))) y)) (* 1/2 x)) y)))))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))
(* -1 (* y (- (/ x y) 1)))
(* -1 (/ (- (* -1 (/ (- x (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (- x (* -1 x))) y))) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y)) (/ (* (pow x 2) (- x (* -1 x))) y)) (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y))) (* -1 x)) y)) 1) y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (+ (* -1/4 (/ (* y (pow (- x (* -1 x)) 2)) (pow (sqrt -1) 2))) (* (pow x 2) (- x (* -1 x)))))))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))

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
(+ y (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x y)
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(fma.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) y) x #s(literal -1/2 binary64)) x y)
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3/16 binary64) (/.f64 #s(literal 3/8 binary64) y)) x #s(literal -1/2 binary64)) x y)
(pow y 2)
(*.f64 y y)
(+ (* -1 (* x y)) (pow y 2))
(*.f64 (-.f64 y x) y)
(+ (* x (+ x (* -1 y))) (pow y 2))
(fma.f64 (-.f64 y x) y (*.f64 x x))
(+ y (* -1 x))
(-.f64 y x)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(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 1/16 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 -1/8 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
(* x (+ 1 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal 3/4 binary64) (*.f64 y y)) x) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal 3/4 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 (.f64 #s(literal 3/4 binary64) (.f64 y y)) y) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))) x x)
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -1 (/ y x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) x)
(* (pow x 2) (+ 1 (+ (* -1 (/ y x)) (/ (pow y 2) (pow x 2)))))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))) (.f64 x x))
(* -1 x)
(neg.f64 x)
(* x (- (/ y x) 1))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
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(.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)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))) (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 (.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 (.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 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))) (neg.f64 y))
(* -1 y)
(neg.f64 y)
(* -1 (* y (+ 1 (* -1/2 (/ x y)))))
(*.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))))
(fma.f64 (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) y) #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) x)) y) y (neg.f64 y))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) y)) (* 1/2 (- (pow x 2) (* 1/4 (pow x 2))))) y)) (* 1/2 x)) y)))))
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 (fma.f64 (.f64 (/.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) y) x) #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 3/4 binary64) (.f64 x x)) #s(literal 1/2 binary64))) (neg.f64 y))) y) y (neg.f64 y))
(* (pow y 2) (+ 1 (* -1 (/ (+ x (* -1 (/ (pow x 2) y))) y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) (/.f64 x y) x) y)) y) y)
(* -1 (* y (- (/ x y) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) y)
(* -1 (/ (- (* -1 (/ (- x (* -1 x)) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (- x (* -1 x))) y))) (* -1 x)) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 x) x)) y) (*.f64 #s(literal 2 binary64) x)) y)) (neg.f64 y))
(* -1 (/ (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y)) (/ (* (pow x 2) (- x (* -1 x))) y)) (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y))) (* -1 x)) y)) 1) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (.f64 #s(literal 2 binary64) x) y) (.f64 x x) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 x x)) (/.f64 x y) (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 x x)))) y)) x) y)) (neg.f64 y))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 x) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (+ (* -1/4 (/ (* y (pow (- x (* -1 x)) 2)) (pow (sqrt -1) 2))) (* (pow x 2) (- x (* -1 x)))))))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(-.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (neg.f64 x) x))) (sqrt.f64 y) (.f64 (.f64 #s(literal 1/2 binary64) (fma.f64 (.f64 #s(literal -1/4 binary64) y) (/.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) x) x (.f64 x x)) x (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) x) x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (pow.f64 y #s(literal 3 binary64))))

rewrite169.0ms (5.2%)

Memory

7.9MiB live, 208.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	77
0	24	76
1	86	58
2	687	58
0	8800	58

Stop Event

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

Counts

8 → 674

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
(sqrt.f64 y)
(.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)))))
(sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))
(fma.f64 (-.f64 y x) y (*.f64 x x))
(-.f64 y x)
(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))
(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))

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

eval146.0ms (4.5%)

Memory: 14.0MiB live, 324.1MiB allocated
Compiler: Compiled 46 758 to 4 361 computations (90.7% saved)

prune42.0ms (1.3%)

Memory

-10.9MiB live, 80.6MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	1 125	1	1 126
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	1 126	3	1 129

Accuracy

100.0%

Counts

1 129 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

▶

52.6%

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

✓

100.0%

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

✓

98.7%

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

Compiler

Compiled 40 to 27 computations (32.5% saved)

simplify50.0ms (1.5%)

Memory

-7.9MiB live, 28.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	91
0	27	91
1	35	91
2	45	91
3	67	91
4	101	91
5	181	91
6	320	91
7	503	91
8	633	91
9	853	91
10	1330	91
11	1497	91
12	1547	91
13	1574	91
14	1587	91
0	1587	91

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize122.0ms (3.7%)

Memory

-8.3MiB live, 75.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.12109375	(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
accuracy	0.2734375	(.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
accuracy	0.3909292769179897	#s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))
accuracy	28.921647893969865	(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))

Samples

112.0ms

256×

valid

Compiler

Compiled 183 to 33 computations (82% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-sqrt: 86.0ms (83.8% of total)

ival-mult: 8.0ms (7.8% of total)

ival-add: 5.0ms (4.9% of total)

ival-sub: 2.0ms (1.9% of total)

ival-div: 2.0ms (1.9% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.4MiB live, 7.4MiB allocated

Counts

5 → 90

Calls

Call 1

Inputs
(.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
#s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))
(fma.f64 #s(literal -1/2 binary64) x y)
(sqrt.f64 (/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (+.f64 y x) (fma.f64 (-.f64 y x) y (*.f64 x 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
(+ y (* -1/2 x))
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(/ 1 y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 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))))))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(* -1/2 x)
(* x (- (/ y x) 1/2))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (- y (* -1 y)) 2))) (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))))
(/ 1 x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)) (pow x 2))) (/ y x))) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ (pow y 2) (pow x 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)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) x)) (* 1/2 (- (pow y 2) (* 1/4 (pow y 2))))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ y x)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (+ (* -1/4 (/ (* x (pow (- y (* -1 y)) 2)) (pow (sqrt -1) 2))) (* (pow y 2) (- y (* -1 y)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ (- y (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (+ (* -1 (/ (pow y 2) x)) (/ (* y (- y (* -1 y))) x))) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x)) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x))) (* -1 y)) x)) 1) x))
(+ (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)))))))
(+ x (* -1/2 y))
(+ x (* y (- (* 3/8 (/ y x)) 1/2)))
(+ x (* y (- (* y (+ (* 3/16 (/ y (pow x 2))) (* 3/8 (/ 1 x)))) 1/2)))
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) y))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/2 (* (sqrt (/ 1 (pow x 9))) y)))))))
(+ (* 2 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 2 (/ 1 (pow x 2))) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(* 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 (* -1/2 (/ x y))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) (pow y 3))) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2)))))))
(+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* y (pow (- x (* -1 x)) 2))) (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x))))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))))
(/ (- (+ 1 (/ x y)) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) (pow y 2))) (/ x y))) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) (pow y 3))) (/ x y))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) 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 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) y)) (* 1/2 (- (pow x 2) (* 1/4 (pow x 2))))) y)) (* 1/2 x)) y)))))
(* -1 (* y (- (* 1/2 (/ x y)) 1)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (+ (* -1/4 (/ (* y (pow (- x (* -1 x)) 2)) (pow (sqrt -1) 2))) (* (pow x 2) (- x (* -1 x)))))))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ (- x (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (- x (* -1 x))) y))) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y)) (/ (* (pow x 2) (- x (* -1 x))) y)) (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y))) (* -1 x)) y)) 1) y))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* (sqrt (+ (* (- y x) y) (* x x))) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x))))) (sqrt (+ (* (- y x) y) (* x x))) (+ (* -1/2 x) y) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x)))) (/ (+ y x) (+ (* (- y x) y) (* x x))))
1.0ms	y	@	-inf	((* (sqrt (+ (* (- y x) y) (* x x))) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x))))) (sqrt (+ (* (- y x) y) (* x x))) (+ (* -1/2 x) y) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x)))) (/ (+ y x) (+ (* (- y x) y) (* x x))))
1.0ms	x	@	-inf	((* (sqrt (+ (* (- y x) y) (* x x))) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x))))) (sqrt (+ (* (- y x) y) (* x x))) (+ (* -1/2 x) y) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x)))) (/ (+ y x) (+ (* (- y x) y) (* x x))))
0.0ms	y	@	inf	((* (sqrt (+ (* (- y x) y) (* x x))) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x))))) (sqrt (+ (* (- y x) y) (* x x))) (+ (* -1/2 x) y) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x)))) (/ (+ y x) (+ (* (- y x) y) (* x x))))
0.0ms	x	@	0	((* (sqrt (+ (* (- y x) y) (* x x))) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x))))) (sqrt (+ (* (- y x) y) (* x x))) (+ (* -1/2 x) y) (sqrt (/ (+ y x) (+ (* (- y x) y) (* x x)))) (/ (+ y x) (+ (* (- y x) y) (* x x))))

simplify173.0ms (5.3%)

Memory

11.9MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	522	2249
1	1675	2021
2	5450	1981
0	8161	1842

Stop Event

1×	iter limit
1×	node limit

Counts

90 → 88

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
(+ y (* -1/2 x))
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(sqrt (/ 1 y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(/ 1 y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 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))))))
x
(* x (+ 1 (* -1/2 (/ y x))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(* -1/2 x)
(* x (- (/ y x) 1/2))
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (- y (* -1 y)) 2))) (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))))
(/ 1 x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)) (pow x 2))) (/ y x))) (* -1 (/ y x))) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ (pow y 2) (pow x 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)))))))
(* -1 x)
(* -1 (* x (+ 1 (* -1/2 (/ y x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) x)) (* 1/2 (- (pow y 2) (* 1/4 (pow y 2))))) x)) (* 1/2 y)) x)))))
(* -1 (* x (+ 1/2 (* -1 (/ y x)))))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (* 1/2 (* (sqrt (/ 1 x)) (+ (* -1 (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y)))))) (+ (* -1/4 (/ (* x (pow (- y (* -1 y)) 2)) (pow (sqrt -1) 2))) (* (pow y 2) (- y (* -1 y)))))))) (pow x 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ (- y (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (+ (* -1 (/ (pow y 2) x)) (/ (* y (- y (* -1 y))) x))) (* -1 y)) x)) 1) x))
(* -1 (/ (- (* -1 (/ (- (+ y (* -1 (/ (- (+ (* -1 (/ (* y (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x)) (/ (* (pow y 2) (- y (* -1 y))) x)) (+ (* -1 (pow y 2)) (* y (- y (* -1 y))))) x))) (* -1 y)) x)) 1) x))
(+ (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)))))))
(+ x (* -1/2 y))
(+ x (* y (- (* 3/8 (/ y x)) 1/2)))
(+ x (* y (- (* y (+ (* 3/16 (/ y (pow x 2))) (* 3/8 (/ 1 x)))) 1/2)))
(+ (sqrt (/ 1 x)) (* (sqrt (/ 1 (pow x 3))) y))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* -1/2 (* (sqrt (/ 1 (pow x 7))) (pow y 2))))))
(+ (sqrt (/ 1 x)) (* y (+ (sqrt (/ 1 (pow x 3))) (* (pow y 2) (+ (* -1/2 (sqrt (/ 1 (pow x 7)))) (* -1/2 (* (sqrt (/ 1 (pow x 9))) y)))))))
(+ (* 2 (/ y (pow x 2))) (/ 1 x))
(+ (* y (+ (* 2 (/ 1 (pow x 2))) (/ y (pow x 3)))) (/ 1 x))
(+ (* y (+ (* y (+ (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (* 2 (/ 1 (pow x 2))))) (/ 1 x))
(* 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 (* -1/2 (/ x y))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2))))))
(* y (+ 1 (+ (* -1/2 (/ x y)) (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) (pow y 3))) (* 1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) (pow y 2)))))))
(+ (sqrt (/ 1 y)) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x))))))
(+ (sqrt (/ 1 y)) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (+ (* 1/4 (* y (pow (- x (* -1 x)) 2))) (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x))))))) (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))))))
(/ (- (+ 1 (/ x y)) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* x (- x (* -1 x)))) (pow x 2)) (pow y 2))) (/ x y))) (* -1 (/ x y))) y)
(/ (- (+ 1 (+ (* -1 (/ (+ (* x (+ (* -1 (* x (- x (* -1 x)))) (pow x 2))) (* (pow x 2) (- x (* -1 x)))) (pow y 3))) (/ x y))) (+ (* -1 (/ x y)) (+ (* -1 (/ (* x (- x (* -1 x))) (pow y 2))) (/ (pow x 2) (pow y 2))))) 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 (* y (+ 1 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1/2 (/ (- (pow x 2) (* 1/4 (pow x 2))) y)) (* 1/2 x)) y)))))
(* -1 (* y (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/4 (/ (* x (- (pow x 2) (* 1/4 (pow x 2)))) y)) (* 1/2 (- (pow x 2) (* 1/4 (pow x 2))))) y)) (* 1/2 x)) y)))))
(* -1 (* y (- (* 1/2 (/ x y)) 1)))
(* (sqrt (/ 1 y)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))
(+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 5))) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt y) (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (* 1/2 (* (sqrt (/ 1 y)) (+ (* -1 (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x)))))) (+ (* -1/4 (/ (* y (pow (- x (* -1 x)) 2)) (pow (sqrt -1) 2))) (* (pow x 2) (- x (* -1 x)))))))) (pow y 3))) (+ (* 1/2 (* (sqrt (/ 1 (pow y 3))) (- x (* -1 x)))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
(* -1 (/ (- (* -1 (/ (- x (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (+ (* -1 (/ (pow x 2) y)) (/ (* x (- x (* -1 x))) y))) (* -1 x)) y)) 1) y))
(* -1 (/ (- (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y)) (/ (* (pow x 2) (- x (* -1 x))) y)) (+ (* -1 (pow x 2)) (* x (- x (* -1 x))))) y))) (* -1 x)) y)) 1) y))

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
(+ y (* -1/2 x))
(fma.f64 #s(literal -1/2 binary64) x y)
(+ y (* x (- (* 3/8 (/ x y)) 1/2)))
(fma.f64 (fma.f64 (/.f64 x y) #s(literal 3/8 binary64) #s(literal -1/2 binary64)) x y)
(+ y (* x (- (* x (+ (* 3/16 (/ x (pow y 2))) (* 3/8 (/ 1 y)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal 3/16 binary64) (/.f64 #s(literal 3/8 binary64) y)) x #s(literal -1/2 binary64)) x y)
(sqrt (/ 1 y))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(+ (sqrt (/ 1 y)) (* x (sqrt (/ 1 (pow y 3)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* -1/2 (* (pow x 2) (sqrt (/ 1 (pow y 7))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (sqrt (/ 1 y)) (* x (+ (sqrt (/ 1 (pow y 3))) (* (pow x 2) (+ (* -1/2 (sqrt (/ 1 (pow y 7)))) (* -1/2 (* x (sqrt (/ 1 (pow y 9))))))))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64)))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) x (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(+ (* 2 (/ x (pow y 2))) (/ 1 y))
(fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* 2 (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y))
(fma.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(+ (* x (+ (* x (+ (* -1 (/ x (pow y 4))) (/ 1 (pow y 3)))) (* 2 (/ 1 (pow y 2))))) (/ 1 y))
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) x (/.f64 #s(literal 2 binary64) (*.f64 y y))) x (/.f64 #s(literal 1 binary64) y))
(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 (* -1/2 (/ y x))))
(*.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) x)
(* x (+ 1 (+ (* -1/2 (/ y x)) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2))))))
(.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal 3/4 binary64) (*.f64 y y)) x) (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))) x)
(* x (+ 1 (+ (* -1/2 (/ y x)) (+ (* 1/4 (/ (* y (- (pow y 2) (* 1/4 (pow y 2)))) (pow x 3))) (* 1/2 (/ (- (pow y 2) (* 1/4 (pow y 2))) (pow x 2)))))))
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (.f64 #s(literal 3/4 binary64) (.f64 y y)) x) (/.f64 (.f64 (.f64 (.f64 #s(literal 3/4 binary64) (.f64 y y)) y) #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64))))) x x)
(* -1/2 x)
(*.f64 #s(literal -1/2 binary64) x)
(* x (- (/ y x) 1/2))
(*.f64 (-.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 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)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y))))))
(fma.f64 (.f64 #s(literal -1/2 binary64) (fma.f64 (.f64 #s(literal -2 binary64) y) y (.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) (*.f64 #s(literal 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))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (* (sqrt (/ 1 (pow x 5))) (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)))) (+ (* -1/2 (* (sqrt (/ 1 (pow x 7))) (+ (* 1/4 (* x (pow (- y (* -1 y)) 2))) (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y))))))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (- y (* -1 y)))))))
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 y y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (.f64 #s(literal 4 binary64) (.f64 y y))) x (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 y y)) y (.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64)))))) (fma.f64 (.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 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))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- (+ 1 (/ y x)) (* -1 (/ y x))) x)
(/.f64 (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) y) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* -1 (* y (- y (* -1 y)))) (pow y 2)) (pow x 2))) (/ y x))) (* -1 (/ y x))) x)
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (neg.f64 y) y)) x) (*.f64 #s(literal 2 binary64) y)) x) #s(literal 1 binary64)) x)
(/ (- (+ 1 (+ (* -1 (/ (+ (* y (+ (* -1 (* y (- y (* -1 y)))) (pow y 2))) (* (pow y 2) (- y (* -1 y)))) (pow x 3))) (/ y x))) (+ (* -1 (/ y x)) (+ (* -1 (/ (* y (- y (* -1 y))) (pow x 2))) (/ (pow y 2) (pow x 2))))) x)
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 y y)) y (.f64 (.f64 (.f64 #s(literal 2 binary64) y) y) y)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (+.f64 (/.f64 (fma.f64 (.f64 #s(literal 2 binary64) y) y (.f64 (neg.f64 y) y)) x) (.f64 #s(literal 2 binary64) y)) 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 (neg.f64 x) (fma.f64 (.f64 #s(literal 1/2 binary64) y) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) 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)))))))
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rewrite147.0ms (4.5%)

Memory

8.2MiB live, 163.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	71
0	27	71
1	88	71
2	637	71
0	8772	71

Stop Event

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

Counts

5 → 274

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 (neg.f64 x) x))))
(.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (hypot.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))))
(.f64 (/.f64 (.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 (neg.f64 x) x))))
(.f64 (/.f64 (.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y))) (hypot.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (.f64 x x) (-.f64 (.f64 x x) (.f64 (-.f64 y x) y)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))))
(.f64 (.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 x y)) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 x y)) #s(literal -1/4 binary64)))
(.f64 (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (/.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 (+.f64 x y)) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64))))
(.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 x y)) #s(literal -1/4 binary64)) (.f64 (pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 x y)) #s(literal -1/4 binary64)) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))))
(.f64 (sqrt.f64 (+.f64 x y)) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1/2 binary64)) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))))
(.f64 (sqrt.f64 (/.f64 (+.f64 x y) (fma.f64 (-.f64 y x) y (.f64 x x)))) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)))
(.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (/.f64 (+.f64 x y) (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (/.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64)))
(/.f64 (/.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal 1/4 binary64)))
(/.f64 (.f64 (neg.f64 (sqrt.f64 (+.f64 x y))) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (neg.f64 (+.f64 x y))) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 #s(literal 1 binary64) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 x y))))
(/.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (neg.f64 (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (neg.f64 (+.f64 x y)))) (sqrt.f64 (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 x y))))
(/.f64 (neg.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (neg.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y)))) (neg.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 (.f64 #s(approx (sqrt (+ ( (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 (sqrt.f64 (+.f64 x y)) #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 (-.f64 y x) y (.f64 x x))) (.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (+.f64 x y)))))
(/.f64 #s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y)) (sqrt.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (+.f64 x y))))
#s(approx (sqrt (+ (* (- y x) y) (* x x))) (fma.f64 #s(literal -1/2 binary64) x y))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y (fma.f64 #s(literal -1/2 binary64) x y))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))))
(.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x))) (-.f64 (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x))) (.f64 #s(literal 1/4 binary64) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (*.f64 (neg.f64 y) y))) (fma.f64 #s(literal -1/2 binary64) x y))
(.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 y (.f64 #s(literal -1/2 binary64) x))))
(.f64 (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)))
(.f64 (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y))))
(.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))))))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x y))
(.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) (.f64 (fma.f64 #s(literal -1/2 binary64) x y) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)))))
(.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -1/2 binary64) x y) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x y)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))) (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) #s(literal -1 binary64))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))) #s(literal -1 binary64))) (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y))
(/.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y))) (.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)))) (+.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (fma.f64 (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (.f64 (/.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (/.f64 (.f64 y y) (-.f64 (*.f64 #s(literal -1/2 binary64) x) y))))))
(/.f64 (neg.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x)))) (neg.f64 (-.f64 y (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) y))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/4 binary64) (.f64 x x) (.f64 y y)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 x #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/4 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) (.f64 y y))) (.f64 (-.f64 (.f64 #s(literal -1/2 binary64) x) y) (-.f64 (.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (fma.f64 y y (.f64 #s(literal -1/4 binary64) (.f64 x x))) (-.f64 y (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) x) y)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (.f64 (.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 #s(literal -1/2 binary64) x) y)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 y (-.f64 y (*.f64 #s(literal -1/2 binary64) x))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) x y))))
(/.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) x) x (.f64 (neg.f64 y) y)) (-.f64 (*.f64 #s(literal -1/2 binary64) x) y))
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(fma.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 y x) y) (.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x))) (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64))))
(fma.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (*.f64 x x) y) (-.f64 y x)))))
(fma.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) y))
(fma.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) x))
(fma.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64))))))
(fma.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64))))))
(fma.f64 (.f64 (-.f64 y x) y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (.f64 (neg.f64 x) x) (/.f64 (+.f64 x y) (-.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (.f64 y (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(fma.f64 y (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) (.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))))
(-.f64 (/.f64 (.f64 y y) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 y x))) (/.f64 (.f64 x x) (.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (-.f64 y x))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (-.f64 y x) y (.f64 x x)))) (/.f64 (neg.f64 (+.f64 x y)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (-.f64 y x)) (fma.f64 (-.f64 y x) y (.f64 x x))) (/.f64 (/.f64 (.f64 x x) (-.f64 y x)) (fma.f64 (-.f64 y x) y (.f64 x x))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (+.f64 x y)) (fma.f64 (-.f64 y x) y (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) (+.f64 x y))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 y x) y) (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (.f64 (.f64 (neg.f64 x) x) (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64))))) (.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64))))))
(+.f64 (.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64))))) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64))))))
(+.f64 (.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (.f64 y (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(+.f64 (.f64 y (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))) (.f64 x (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (-.f64 y x) y)) (.f64 (/.f64 (+.f64 x y) (-.f64 (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (.f64 (neg.f64 x) x)))
(+.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x)))) (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))))
(+.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 2 binary64))) (.f64 (/.f64 (+.f64 x y) (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (-.f64 y x) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 (.f64 x x) y) (-.f64 y x)))))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y))
(+.f64 (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) y) (.f64 (pow.f64 (fma.f64 (-.f64 y x) y (.f64 x x)) #s(literal -1 binary64)) x))

eval51.0ms (1.6%)

Memory: -3.2MiB live, 70.8MiB allocated
Compiler: Compiled 16 414 to 1 637 computations (90% saved)

prune8.0ms (0.3%)

Memory

-17.4MiB live, 20.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	358	0	358
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	358	3	361

Accuracy

100.0%

Counts

361 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

52.6%

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

✓

100.0%

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

✓

98.7%

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

Compiler

Compiled 103 to 52 computations (49.5% saved)

regimes9.0ms (0.3%)

Memory

16.6MiB live, 16.6MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes5.0ms (0.2%)

Memory

12.4MiB live, 12.4MiB 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:

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

Results

Accuracy	Segments	Branch
98.7%	1	`x`
98.7%	1	`y`
98.7%	1	`(sqrt.f64 (+.f64 x y))`
98.7%	1	`(+.f64 x y)`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify44.0ms (1.3%)

Memory

-25.4MiB live, 65.7MiB 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))
(sqrt.f64 (+.f64 y x))
#s(approx (sqrt (+ x y)) (sqrt.f64 y))

soundness200.0ms (6.1%)

Memory

-8.0MiB live, 108.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	583
1	454	553
2	1425	535
3	4629	523
0	8199	487

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 13 to 11 computations (15.4% saved)

preprocess19.0ms (0.6%)

Memory: 23.2MiB live, 59.7MiB allocated
Remove: (sort x y)
Compiler: Compiled 46 to 40 computations (13% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	12	24
1	26	22
2	41	22
3	63	22
4	116	22
5	155	22
6	194	22
7	205	22
8	207	22
0	4	4
0	6	4
1	7	4
0	7	4

Iter	Nodes	Cost
0	12	24
1	26	22
2	41	22
3	63	22
4	116	22
5	155	22
6	194	22
7	205	22
8	207	22
0	4	4
0	6	4
1	7	4
0	7	4

start0.0ms (0%)

analyze16.0ms (0.5%)

sample1.1s (34.9%)

explain66.0ms (2%)

preprocess30.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize13.0ms (0.4%)

series7.0ms (0.2%)

simplify200.0ms (6.1%)

rewrite248.0ms (7.6%)

eval31.0ms (0.9%)

prune4.0ms (0.1%)

simplify48.0ms (1.5%)

localize44.0ms (1.3%)

series15.0ms (0.5%)

simplify208.0ms (6.4%)

rewrite169.0ms (5.2%)

eval146.0ms (4.5%)

prune42.0ms (1.3%)

simplify50.0ms (1.5%)

localize122.0ms (3.7%)

series4.0ms (0.1%)

simplify173.0ms (5.3%)

rewrite147.0ms (4.5%)

eval51.0ms (1.6%)

prune8.0ms (0.3%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

simplify44.0ms (1.3%)

soundness200.0ms (6.1%)

preprocess19.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	12	24
1	26	22
2	41	22
3	63	22
4	116	22
5	155	22
6	194	22
7	205	22
8	207	22
0	4	4
0	6	4
1	7	4
0	7	4