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

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze16.0ms (0.5%)

Memory

29.0MiB live, 29.0MiB allocated; 0ms collecting garbage

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)

sample821.0ms (24.3%)

Memory

-34.4MiB live, 1 017.8MiB allocated; 187ms collecting garbage

Samples

478.0ms	8 256×	0	valid
17.0ms	497×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-sqrt: 82.0ms (47% of total)

ival-add: 81.0ms (46.4% of total)

ival-true: 6.0ms (3.4% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain111.0ms (3.3%)

Memory

21.9MiB live, 112.8MiB allocated; 6ms collecting garbage

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

51.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-add: 36.0ms (89.6% of total)

ival-sqrt: 4.0ms (10% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess53.0ms (1.6%)

Memory

-11.4MiB live, 43.0MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

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)

simplify4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

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

localize39.0ms (1.2%)

Memory

-17.0MiB live, 30.2MiB allocated; 3ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x y)
accuracy	0.0234375	(sqrt.f64 (+.f64 x y))

Samples

9.0ms

256×

valid

Compiler

Compiled 11 to 6 computations (45.5% saved)

Precisions

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

ival-sqrt: 2.0ms (57.1% of total)

ival-add: 1.0ms (28.6% of total)

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

adjust: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

2 → 29

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

simplify199.0ms (5.9%)

Memory

-8.3MiB live, 179.1MiB allocated; 27ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	741
1	526	711
2	2025	671
0	5870	633

Stop Event

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

Counts

29 → 29

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

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

rewrite78.0ms (2.3%)

Memory

39.7MiB live, 84.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	22	7
2	140	7
0	1367	7

Stop Event

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

Counts

2 → 67

Calls

Call 1

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

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

eval17.0ms (0.5%)

Memory: -22.1MiB live, 23.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 184 to 398 computations (81.8% saved)

prune3.0ms (0.1%)

Memory

9.1MiB live, 9.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Accuracy

100.0%

Counts

95 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	76.3%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))))
▶	96.9%	(sqrt.f64 #s(approx (+ x y) y))
▶	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 50 to 38 computations (24% saved)

simplify193.0ms (5.7%)

Memory

-10.7MiB live, 138.5MiB allocated; 30ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y x)
cost-diff	0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
cost-diff	0	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
cost-diff	3	(fma.f64 (/.f64 y x) x x)
cost-diff	0	#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
cost-diff	0	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))))
cost-diff	1	(fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))
cost-diff	5	(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))
cost-diff	0	#s(approx (+ x y) y)
cost-diff	0	(sqrt.f64 #s(approx (+ x y) y))
cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
cost-diff	0	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	135
0	42	144
1	71	144
2	160	131
3	422	131
4	1325	107
5	6793	107
0	8177	107

Stop Event

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

Calls

Call 1

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

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

localize108.0ms (3.2%)

Memory

-1.8MiB live, 146.7MiB allocated; 19ms collecting garbage

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 y x)
accuracy	0.0	#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
accuracy	14.791341904918388	(fma.f64 (/.f64 y x) x x)
accuracy	0.0	(neg.f64 y)
accuracy	0.0	#s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64))))
accuracy	0.015625	(*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) y))
accuracy	2.0739130551500127	#s(approx (+ x y) y)
accuracy	0.0	(sqrt.f64 y)
accuracy	0.01953125	(fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y))
accuracy	0.140625	(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
accuracy	1.0048604100442227	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Samples

55.0ms

256×

valid

Compiler

Compiled 92 to 23 computations (75% saved)

Precisions

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

ival-mult: 25.0ms (59% of total)

ival-div: 5.0ms (11.8% of total)

ival-add: 5.0ms (11.8% of total)

ival-sqrt: 5.0ms (11.8% of total)

ival-neg: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.7%)

Memory

-1.1MiB live, 45.3MiB allocated; 5ms collecting garbage

Counts

16 → 64

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (sqrt y)))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 y))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 y))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 x))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* -1/2 (sqrt (/ 1 y))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (/ (+ (sqrt (pow y 3)) (* 1/2 (* x (sqrt y)))) y)))
#s(approx (sqrt (/ 1 y)) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (sqrt y) #s(hole binary64 (sqrt y)))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ 1 y)) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (sqrt y) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) (sqrt (/ 1 y)) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (+ (* (/ x y) -1) -1) (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (sqrt (+ x y)) (+ x y) (/ y x) (sqrt y) (neg y))
3.0ms	x	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) (sqrt (/ 1 y)) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (+ (* (/ x y) -1) -1) (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (sqrt (+ x y)) (+ x y) (/ y x) (sqrt y) (neg y))
3.0ms	y	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) (sqrt (/ 1 y)) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (+ (* (/ x y) -1) -1) (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (sqrt (+ x y)) (+ x y) (/ y x) (sqrt y) (neg y))
2.0ms	x	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) (sqrt (/ 1 y)) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (+ (* (/ x y) -1) -1) (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (sqrt (+ x y)) (+ x y) (/ y x) (sqrt y) (neg y))
2.0ms	y	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) (sqrt (/ 1 y)) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (+ (* (/ x y) -1) -1) (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (sqrt (+ x y)) (+ x y) (/ y x) (sqrt y) (neg y))

simplify155.0ms (4.6%)

Memory

25.0MiB live, 357.4MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	257	1216
1	697	1161
2	2563	1121
0	8228	1057

Stop Event

1×	iter limit
1×	node limit

Counts

64 → 64

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (sqrt y)))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (* 1/2 x) #s(hole binary64 (* 1/2 x)))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 y))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (+ x y)))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 y))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (+ x y)))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* 1/2 (* x (sqrt (/ 1 y))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* x (+ (* 1/2 (sqrt (/ 1 y))) (* (/ 1 x) (sqrt y))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 x))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 x))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* x (+ (* -1 (* (/ 1 x) (sqrt y))) (* -1/2 (sqrt (/ 1 y))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (/ (+ (sqrt (pow y 3)) (* 1/2 (* x (sqrt y)))) y)))
#s(approx (sqrt (/ 1 y)) #s(hole binary64 (sqrt (/ 1 y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (sqrt y) #s(hole binary64 (sqrt y)))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) #s(hole binary64 (* -1 (* y (+ (* -1/2 (* (* x (pow (sqrt -1) 2)) (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (/ 1 y)) #s(hole binary64 (* (sqrt (/ 1 y)) (pow (sqrt -1) 2))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (+ (* (/ y x) x) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (sqrt y) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))

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

rewrite145.0ms (4.3%)

Memory

4.0MiB live, 149.0MiB allocated; 90ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	119
0	42	119
1	133	116
0	882	116

Stop Event

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

Counts

16 → 118

Calls

Call 1

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

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

eval61.0ms (1.8%)

Memory: -15.6MiB live, 75.2MiB allocated; 25ms collecting garbage
Compiler: Compiled 3 367 to 662 computations (80.3% saved)

prune5.0ms (0.2%)

Memory

24.9MiB live, 24.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	161	2	163
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	162	6	168

Accuracy

100.0%

Counts

168 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	76.3%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))))))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	96.9%	(sqrt.f64 #s(approx (+ x y) y))
✓	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 87 to 60 computations (31% saved)

simplify180.0ms (5.3%)

Memory

-23.0MiB live, 206.2MiB allocated; 54ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	25	236
0	38	236
1	58	232
2	104	228
3	277	228
4	868	201
5	4414	198
0	8425	198

Stop Event

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

Calls

Call 1

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

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

localize122.0ms (3.6%)

Memory

26.4MiB live, 166.1MiB allocated; 29ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))))))
accuracy	0.03125	(/.f64 (pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64)) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0.217128759768442	(pow.f64 (neg.f64 (/.f64 x y)) #s(literal 2 binary64))
accuracy	0.0	#s(approx (+ (* (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
accuracy	0.0	#s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
accuracy	0.015625	(.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))

Samples

108.0ms

256×

valid

Compiler

Compiled 140 to 22 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 95.0ms

ival-add: 30.0ms (31.6% of total)

ival-mult: 24.0ms (25.3% of total)

ival-sub: 21.0ms (22.1% of total)

ival-sqrt: 9.0ms (9.5% of total)

ival-div: 5.0ms (5.3% of total)

ival-pow2: 3.0ms (3.2% of total)

ival-neg: 2.0ms (2.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series54.0ms (1.6%)

Memory

-21.4MiB live, 72.3MiB allocated; 47ms collecting garbage

Counts

12 → 105

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 y))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (+ x y)))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 -1))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 1))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (pow (neg (/ x y)) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 4)) (/ x (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 1))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 x))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* x (- (* -1 (/ (+ y (* -1 y)) (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ y (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ y (pow x 2))))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (/ 1 y))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (/ (pow y 2) x)) x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (/ (- y x) y)))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) y)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (/ (pow x 3) y) (pow x 2)) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y)))))

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	((sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) (- (neg (/ x y)) -1) (sqrt (+ x y)) (+ (* (/ x y) -1) -1) (pow (neg (/ x y)) 2) (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))
19.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) (- (neg (/ x y)) -1) (sqrt (+ x y)) (+ (* (/ x y) -1) -1) (pow (neg (/ x y)) 2) (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))
4.0ms	y	@	0	((sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) (- (neg (/ x y)) -1) (sqrt (+ x y)) (+ (* (/ x y) -1) -1) (pow (neg (/ x y)) 2) (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))
3.0ms	x	@	0	((sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) (- (neg (/ x y)) -1) (sqrt (+ x y)) (+ (* (/ x y) -1) -1) (pow (neg (/ x y)) 2) (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))
3.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) (- (neg (/ x y)) -1) (sqrt (+ x y)) (+ (* (/ x y) -1) -1) (pow (neg (/ x y)) 2) (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))

simplify190.0ms (5.6%)

Memory

-10.6MiB live, 184.3MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	495	2664
1	1356	2524
2	4702	2415
0	8440	2341

Stop Event

1×	iter limit
1×	node limit

Counts

105 → 105

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 y))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (+ x y)))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 -1))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 1))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (+ 1 (* -1 (/ x y)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 -1))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (pow (neg (/ x y)) 2) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 4)) (/ x (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 1))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (/ x y))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* x (+ (/ 1 y) (/ x (pow y 2)))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* x (+ (* x (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 x))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* x (- (* -1 (/ (+ y (* -1 y)) (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* x (- (/ 1 x) (/ 1 y)))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (/ x y))))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ y (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ y (pow x 2))))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 y) (* -1 (/ (pow y 2) x))) x)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow x 2)))) (/ (pow y 2) x)) x)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow x 3)))) (+ (/ (pow y 2) x) (/ (pow y 3) (pow x 2)))) x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (+ (* -1 (/ y x)) (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (* -1 (* x (- (/ 1 y) (/ 1 x))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (/ 1 y))))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (/ (pow y 2) x)) x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) x)) (pow y 2)) x))) x))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) x) (* -1 (pow y 3))) x)) (pow y 2)) x))) x))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (- (neg (/ x y)) -1) #s(hole binary64 (/ (- y x) y)))
#s(approx (+ (* (/ x y) -1) -1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) y)))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) y)))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* -1 (/ y (pow x 2))) (/ 1 x)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* y (- (* -1 (/ y (pow x 3))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (* y (- (* y (- (* y (- (* -1 (/ y (pow x 4))) (/ 1 (pow x 3)))) (/ 1 (pow x 2)))) (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2)))) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (/ (pow x 3) y) (pow x 2)) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (- (+ 1 (/ (pow x 2) (pow y 2))) (* -1 (/ x y)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (- (+ 1 (/ (pow x 3) (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ (pow x 2) (pow y 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (+ (* (/ x y) -1) -1)) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) #s(hole binary64 (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow x 2) y)) x) y)))))
#s(approx (/ 1 (- (neg (/ x y)) -1)) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow x 3) y) (* -1 (pow x 2))) y)) x) y)))))

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

rewrite61.0ms (1.8%)

Memory

-0.4MiB live, 95.6MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	182
0	38	161
1	137	121
0	1083	121

Stop Event

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

Counts

12 → 137

Calls

Call 1

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

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

eval49.0ms (1.4%)

Memory: 22.1MiB live, 68.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 7 968 to 1 365 computations (82.9% saved)

prune7.0ms (0.2%)

Memory

23.8MiB live, 23.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	238	2	240
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	239	7	246

Accuracy

100.0%

Counts

246 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	76.3%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (.f64 (/.f64 x y) x) y) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))))))
▶	99.9%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)))))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	96.9%	(sqrt.f64 #s(approx (+ x y) y))
✓	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 128 to 84 computations (34.4% saved)

simplify155.0ms (4.6%)

Memory

-21.2MiB live, 262.4MiB allocated; 29ms collecting garbage

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	33	337
0	52	337
1	73	331
2	126	331
3	254	331
4	590	331
5	2084	325
0	8591	325

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (3.2%)

Memory

-11.1MiB live, 134.7MiB allocated; 11ms collecting garbage

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) (-.f64 (/.f64 (/.f64 (.f64 (/.f64 x y) x) y) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))))))
accuracy	0.03125	(/.f64 (/.f64 (*.f64 (/.f64 x y) x) y) (-.f64 (neg.f64 (/.f64 x y)) #s(literal -1 binary64)))
accuracy	0.140625	(*.f64 (/.f64 x y) x)
accuracy	3.5292397408382152	(/.f64 (*.f64 (/.f64 x y) x) y)
accuracy	0.01171875	(-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x))
accuracy	0.015625	(.f64 (neg.f64 y) #s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)))
accuracy	0.0234375	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)))))
accuracy	0.15625	(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)

Samples

47.0ms

256×

valid

Compiler

Compiled 193 to 26 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-div: 14.0ms (41.9% of total)

ival-mult: 6.0ms (18% of total)

ival-sub: 4.0ms (12% of total)

ival-pow2: 3.0ms (9% of total)

ival-add: 2.0ms (6% of total)

ival-sqrt: 2.0ms (6% of total)

ival-neg: 2.0ms (6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series14.0ms (0.4%)

Memory

24.6MiB live, 24.6MiB allocated; 0ms collecting garbage

Counts

12 → 82

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (/ (* (/ x y) x) y) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ (- (* -1 (/ x y)) 1) x)))
#s(approx (* (/ x y) x) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 4)) (/ x (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ -1 y)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (* -1 (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ y (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ y (pow x 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ (- (* -1 (/ y x)) 1) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (/ (pow x 3) y) (pow x 2)) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))

Calls

6 calls:

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

simplify174.0ms (5.2%)

Memory

-28.1MiB live, 205.3MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	381	2308
1	1027	2181
2	3697	2120
0	8624	2065

Stop Event

1×	iter limit
1×	node limit

Counts

82 → 82

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (* x (sqrt (/ 1 y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (* x (sqrt (/ 1 (pow y 3))))) (* 1/2 (sqrt (/ 1 y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 (pow y 3)))) (* 1/16 (* x (sqrt (/ 1 (pow y 5))))))))))))
#s(approx (+ x y) #s(hole binary64 y))
#s(approx (+ x y) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 y))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (+ x y)))
#s(approx (/ (* (/ x y) x) y) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 -1))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ -1 x)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ (- (* -1 (/ x y)) 1) x)))
#s(approx (* (/ x y) x) #s(hole binary64 (/ (pow x 2) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (pow x 2) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* (pow x 2) (+ (* x (+ (* x (+ (/ 1 (pow y 4)) (/ x (pow y 5)))) (/ 1 (pow y 3)))) (/ 1 (pow y 2))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (pow y 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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))))))))
#s(approx (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 x))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* x (+ 1 (+ (/ y x) (/ (* y (+ y (* -1 y))) (pow x 2)))))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (* -1 (/ x y))))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ -1 y)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (* -1 (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (/ x y))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ y (pow x 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* x (- (* -1 (/ (pow y 2) (pow x 3))) (+ (/ 1 x) (+ (/ 1 y) (/ y (pow x 2))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (* -1/8 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 2) (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (sqrt -1) 4)))) (+ (* 1/2 (* (sqrt (/ 1 (pow x 3))) y)) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (* y (+ y (* -1 y))) x))) x)) 1)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ y x)) 1) x)) (/ 1 y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 2) x) (* -1 y)) x)) 1) x)) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (* (sqrt (/ 1 x)) y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (* (sqrt (/ 1 (pow x 3))) y)) (* 1/2 (sqrt (/ 1 x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* 1/2 (sqrt (/ 1 x))) (* y (+ (* -1/8 (sqrt (/ 1 (pow x 3)))) (* 1/16 (* (sqrt (/ 1 (pow x 5))) y)))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (* (- (/ -1 y) (/ 1 x)) x) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (- (/ -1 y) (/ 1 x)) #s(hole binary64 (/ (- (* -1 (/ y x)) 1) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* -1 (/ y x)) 1))) y)))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 x) (* y (- (* y (- (* -1 (/ y (pow x 2))) (/ 1 x))) 1))) y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (* x (sqrt (/ 1 (pow y 3)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (* (pow x 2) (sqrt (/ 1 (pow y 5))))) (* 1/2 (* x (sqrt (/ 1 (pow y 3))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* 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)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* y (+ 1 (+ (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2))) (/ x y))))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (/ (pow x 3) y) (pow x 2)) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 4) (pow y 2)) (pow x 2)) (* -1 (/ (pow x 3) y))) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (- (+ (/ (pow x 5) (pow y 3)) (pow x 2)) (+ (* -1 (/ (pow x 3) y)) (* -1 (/ (pow x 4) (pow y 2))))) (pow y 2))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* (sqrt y) (pow (sqrt -1) 2)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (* 1/2 (* x (sqrt (/ 1 (pow y 3))))) (* (sqrt (/ 1 y)) (pow (sqrt -1) 2)))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -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)))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (neg y) (- (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ x (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) y))) y)) 1)))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (pow x 4) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))
#s(approx (/ (/ (* (/ x y) x) y) (- (neg (/ x y)) -1)) #s(hole binary64 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow x 5) y) (* -1 (pow x 4))) y)) (pow x 3)) y)) (pow x 2)) (pow y 2))))

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

rewrite91.0ms (2.7%)

Memory

41.6MiB live, 86.2MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	33	245
0	52	203
1	171	142
0	1356	142

Stop Event

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

Counts

12 → 94

Calls

Call 1

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

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

eval51.0ms (1.5%)

Memory: -22.3MiB live, 69.8MiB allocated; 31ms collecting garbage
Compiler: Compiled 5 885 to 984 computations (83.3% saved)

prune6.0ms (0.2%)

Memory

17.8MiB live, 17.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	161	1	162
Fresh	0	0	0
Picked	1	1	2
Done	0	5	5
Total	162	7	169

Accuracy

100.0%

Counts

169 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	76.3%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	99.9%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) x)))))
	99.9%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (- (/ (pow (neg (/ x y)) 2) (- (neg (/ x y)) -1)) (/ 1 (- (neg (/ x y)) -1))) (.f64 #s(approx (- (/ -1 y) (/ 1 x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 x y)) x)) x)))))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	96.9%	(sqrt.f64 #s(approx (+ x y) y))
✓	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 365 to 173 computations (52.6% saved)

regimes18.0ms (0.5%)

Memory

-9.6MiB live, 33.5MiB allocated; 11ms collecting garbage

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

9.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	x

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
96.9%	1	`(+.f64 x y)`
96.9%	1	`(sqrt.f64 (+.f64 x y))`
96.9%	1	`x`
96.9%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify9.0ms (0.3%)

Memory

16.4MiB live, 16.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	8	10

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations33.0ms (1%)

Memory

-42.6MiB live, 2.4MiB allocated; 10ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 10 to 7 computations (30% saved)

preprocess12.0ms (0.4%)

Memory: 29.2MiB live, 29.2MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 44 to 38 computations (13.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze16.0ms (0.5%)

sample821.0ms (24.3%)

explain111.0ms (3.3%)

preprocess53.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.1%)

localize39.0ms (1.2%)

series5.0ms (0.2%)

simplify199.0ms (5.9%)

rewrite78.0ms (2.3%)

eval17.0ms (0.5%)

prune3.0ms (0.1%)

simplify193.0ms (5.7%)

localize108.0ms (3.2%)

series25.0ms (0.7%)

simplify155.0ms (4.6%)

rewrite145.0ms (4.3%)

eval61.0ms (1.8%)

prune5.0ms (0.2%)

simplify180.0ms (5.3%)

localize122.0ms (3.6%)

series54.0ms (1.6%)

simplify190.0ms (5.6%)

rewrite61.0ms (1.8%)

eval49.0ms (1.4%)

prune7.0ms (0.2%)

simplify155.0ms (4.6%)

localize106.0ms (3.2%)

series14.0ms (0.4%)

simplify174.0ms (5.2%)

rewrite91.0ms (2.7%)

eval51.0ms (1.5%)

prune6.0ms (0.2%)

regimes18.0ms (0.5%)

regimes4.0ms (0.1%)

simplify9.0ms (0.3%)

derivations33.0ms (1%)

preprocess12.0ms (0.4%)

end0.0ms (0%)

Profiling