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

start0.0ms (0%)

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

analyze44.0ms (3.6%)

Memory

-32.4MiB live, 11.8MiB allocated; 11ms 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)

sample487.0ms (40.5%)

Memory

35.1MiB live, 408.9MiB allocated; 58ms collecting garbage

Samples

272.0ms	8 256×	0	valid
16.0ms	514×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-sqrt: 64.0ms (66.1% of total)

ival-add!: 31.0ms (32% of total)

adjust: 2.0ms (2.1% of total)

Bogosity

explain39.0ms (3.2%)

Memory

15.1MiB live, 58.2MiB allocated; 7ms 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

16.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

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

ival-sqrt: 4.0ms (69.8% of total)

ival-add!: 2.0ms (34.9% of total)

adjust: 0.0ms (0% of total)

preprocess10.0ms (0.8%)

Memory

-34.3MiB live, 11.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	16	30

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series7.0ms (0.6%)

Memory

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

Counts

4 → 31

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
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 x #s(hole binary64 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 (+ 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 y #s(hole binary64 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
2.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) x y)
2.0ms	x	@	-inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	x	@	inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) x y)
1.0ms	x	@	0	((sqrt (+ x y)) (+ x y) x y)

rewrite64.0ms (5.3%)

Memory

13.8MiB live, 69.6MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	190	780
0	191	666
0	1062	634

Stop Event

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

Counts

35 → 39

Calls

Call 1

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

eval5.0ms (0.4%)

Memory: 7.2MiB live, 7.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 829 to 187 computations (77.4% saved)

prune25.0ms (2.1%)

Memory

-35.0MiB live, 10.8MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	2	40

Accuracy

100.0%

Counts

40 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	77.8%	(sqrt.f64 #s(approx (+ x y) (*.f64 (+.f64 (/.f64 y x) #s(literal 1 binary64)) x)))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series6.0ms (0.5%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

8 → 44

Calls

Call 1

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

Calls

6 calls:

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

rewrite50.0ms (4.1%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	211	969
0	217	851
0	1124	819

Stop Event

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

Counts

52 → 64

Calls

Call 1

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

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

eval17.0ms (1.4%)

Memory: -35.9MiB live, 10.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 339 to 296 computations (77.9% saved)

prune30.0ms (2.5%)

Memory

40.8MiB live, 40.8MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	65	2	67

Accuracy

100.0%

Counts

67 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

29.8%

(sqrt.f64 #s(approx (+ x y) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))

Compiler

Compiled 33 to 19 computations (42.4% saved)

series23.0ms (1.9%)

Memory

-12.3MiB live, 31.5MiB allocated; 4ms collecting garbage

Counts

14 → 84

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))
#s(approx (+ x y) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 3 binary64))
(/.f64 y x)
y
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 y))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (/ y x)))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (/ (+ x y) x)))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (/ (pow y 3) (pow x 3))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (/ (+ (pow x 3) (pow y 3)) (pow x 3))))
#s(approx (pow (/ y x) 3) #s(hole binary64 (/ (pow y 3) (pow x 3))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (+ (* x (- x y)) (pow y 2)) (pow x 2))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (/ (- x y) x)))
#s(approx (* (/ y x) 1) #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 (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 x))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (+ 1 (/ (pow y 3) (pow x 3)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (+ 1 (* -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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (pow y 2))) x))) x)) 1)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) y) x)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) y) x)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) 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 y #s(hole binary64 y))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* y (- (/ y (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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (+ (* -1 (/ (+ x (* -1 x)) (pow y 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (- (+ (* -1 (/ (* x (+ x (* -1 x))) (pow y 3))) (+ (/ 1 x) (/ 1 y))) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (* (pow y 3) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x)))))
#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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x y))) y)) (/ 1 x))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* x (+ x (* -1 x))) y)) (+ x (* -1 x))) y))) y)) (/ 1 x))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((sqrt (+ x y)) (+ x y) (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) (+ (pow (/ y x) 3) 1) (pow (/ y x) 3) (/ y x) y x 3 1 (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) (- 1 (* (/ y x) 1)) (* (/ y x) 1))
3.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) (+ (pow (/ y x) 3) 1) (pow (/ y x) 3) (/ y x) y x 3 1 (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) (- 1 (* (/ y x) 1)) (* (/ y x) 1))
3.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) (+ (pow (/ y x) 3) 1) (pow (/ y x) 3) (/ y x) y x 3 1 (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) (- 1 (* (/ y x) 1)) (* (/ y x) 1))
3.0ms	y	@	0	((sqrt (+ x y)) (+ x y) (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) (+ (pow (/ y x) 3) 1) (pow (/ y x) 3) (/ y x) y x 3 1 (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) (- 1 (* (/ y x) 1)) (* (/ y x) 1))
2.0ms	x	@	-inf	((sqrt (+ x y)) (+ x y) (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) (+ (pow (/ y x) 3) 1) (pow (/ y x) 3) (/ y x) y x 3 1 (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) (- 1 (* (/ y x) 1)) (* (/ y x) 1))

rewrite177.0ms (14.7%)

Memory

-13.1MiB live, 93.3MiB allocated; 119ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	427	2675
0	445	1775
0	2572	1735

Stop Event

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

Counts

98 → 153

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (+ x y) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))
#s(approx (+ x y) (.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x))
(.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (.f64 (/.f64 y x) #s(literal 1 binary64))))) x)
(/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 y x) #s(literal 3 binary64))
(/.f64 y x)
y
x
#s(literal 3 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64)))
(*.f64 (/.f64 y x) #s(literal 1 binary64))
#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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 y))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (+ x y)))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (/ y x)))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (/ (+ x y) x)))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (/ (pow y 3) (pow x 3))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (/ (+ (pow x 3) (pow y 3)) (pow x 3))))
#s(approx (pow (/ y x) 3) #s(hole binary64 (/ (pow y 3) (pow x 3))))
#s(approx (/ y x) #s(hole binary64 (/ y x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (pow y 2) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (+ (* -1 (* x y)) (pow y 2)) (pow x 2))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (/ (+ (* x (- x y)) (pow y 2)) (pow x 2))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* -1 (/ y x))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (/ (- x y) x)))
#s(approx (* (/ y x) 1) #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 (+ x y) #s(hole binary64 x))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 x))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x))))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* x (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2))))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (/ y x))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (- (+ 1 (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) (pow x 2)))) (* -1 (/ y x)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (- (+ 1 (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) (pow x 3)))) (+ (* -1 (/ y x)) (+ (* -1 (/ (pow y 2) (pow x 2))) (/ (pow y 2) (pow x 2)))))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (+ 1 (/ (pow y 3) (pow x 3)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 1))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* -1 (/ y x)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (- (+ 1 (/ (pow y 2) (pow x 2))) (/ y x))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (+ 1 (* -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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (pow y 2)) x))) x)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* x (- (* -1 (/ (+ y (* -1 (/ (+ (* -1 (pow y 2)) (+ (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x) (pow y 2))) x))) x)) 1)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (+ (* -1 (/ (pow y 2) x)) (/ (pow y 2) x)) y) x)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* y (+ (* -1 (pow y 2)) (pow y 2))) x)) (+ (* -1 (pow y 2)) (pow y 2))) x)) y) x)))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* -1 (/ (- (* -1 (/ (pow y 2) x)) (* -1 y)) 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 y #s(hole binary64 y))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (+ 1 (* y (- (/ y (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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (- (+ 1 (* -1 (/ (+ (* -1 (pow x 2)) (pow x 2)) (pow y 2)))) (* -1 (/ x y))))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* y (- (+ 1 (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) (pow y 3)))) (+ (* -1 (/ x y)) (+ (* -1 (/ (pow x 2) (pow y 2))) (/ (pow x 2) (pow y 2))))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (+ (/ 1 x) (/ 1 y)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (+ (* -1 (/ (+ x (* -1 x)) (pow y 2))) (+ (/ 1 x) (/ 1 y))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* y (- (+ (* -1 (/ (* x (+ x (* -1 x))) (pow y 3))) (+ (/ 1 x) (/ 1 y))) (+ (* -1 (/ x (pow y 2))) (/ x (pow y 2)))))))
#s(approx (+ (pow (/ y x) 3) 1) #s(hole binary64 (* (pow y 3) (+ (/ 1 (pow x 3)) (/ 1 (pow y 3))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (- (/ 1 (pow x 2)) (/ 1 (* x y))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (/ 1 (* x y))))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* y (- (/ 1 y) (/ 1 x)))))
#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 (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (+ (* -1 (/ (pow x 2) y)) (/ (pow x 2) y)) (* -1 x)) y)) 1)))))
#s(approx (* (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) x) #s(hole binary64 (* -1 (* y (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* x (+ (* -1 (pow x 2)) (pow x 2))) y)) (+ (* -1 (pow x 2)) (pow x 2))) y)) (* -1 x)) y)) 1)))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 (+ (* -1 (/ x y)) (/ x y))) y)) (/ 1 x))))))
#s(approx (/ (+ (pow (/ y x) 3) 1) (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (* x (+ x (* -1 x))) y)) (+ x (* -1 x))) y))) y)) (/ 1 x))))))
#s(approx (+ (* (/ y x) (/ y x)) (- 1 (* (/ y x) 1))) #s(hole binary64 (* (pow y 2) (+ (* -1 (/ (- (/ 1 x) (/ 1 y)) y)) (/ 1 (pow x 2))))))
#s(approx (- 1 (* (/ y x) 1)) #s(hole binary64 (* -1 (* y (- (/ 1 x) (/ 1 y))))))

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

eval26.0ms (2.2%)

Memory: -8.2MiB live, 37.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 6 156 to 1 008 computations (83.6% saved)

prune162.0ms (13.5%)

Memory

-9.9MiB live, 180.2MiB allocated; 21ms collecting garbage

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	180	0	180
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	180	2	182

Accuracy

100.0%

Counts

182 → 2

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

✓

29.8%

(sqrt.f64 #s(approx (+ x y) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))

Compiler

Compiled 78 to 40 computations (48.7% saved)

regimes7.0ms (0.6%)

Memory

8.7MiB live, 8.7MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

(sqrt.f64 #s(approx (+ x y) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))

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

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

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 x y)
1.0ms	(sqrt.f64 (+.f64 x y))

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)

regimes5.0ms (0.4%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Accuracy

Total -30.8b remaining (-216.7%)

Threshold costs -30.8b (-216.7%)

Counts

2 → 1

Calls

Call 1

Inputs

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

(sqrt.f64 #s(approx (+ x y) (*.f64 (/.f64 (+.f64 (pow.f64 (/.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1 binary64))))) x)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
77.8%	1	`(+.f64 x y)`
77.8%	1	`(sqrt.f64 (+.f64 x y))`
77.8%	1	`x`
77.8%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations4.0ms (0.3%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 16 to 11 computations (31.3% saved)

preprocess15.0ms (1.3%)

Memory: 18.9MiB live, 18.9MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 72 to 56 computations (22.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze44.0ms (3.6%)

sample487.0ms (40.5%)

explain39.0ms (3.2%)

preprocess10.0ms (0.8%)

series7.0ms (0.6%)

rewrite64.0ms (5.3%)

eval5.0ms (0.4%)

prune25.0ms (2.1%)

series6.0ms (0.5%)

rewrite50.0ms (4.1%)

eval17.0ms (1.4%)

prune30.0ms (2.5%)

series23.0ms (1.9%)

rewrite177.0ms (14.7%)

eval26.0ms (2.2%)

prune162.0ms (13.5%)

regimes7.0ms (0.6%)

regimes5.0ms (0.4%)

derivations4.0ms (0.3%)

preprocess15.0ms (1.3%)

end0.0ms (0%)

Profiling