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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze81.0ms (2.9%)

Memory

0.1MiB live, 55.7MiB allocated; 43ms 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)

sample811.0ms (29.2%)

Memory

39.6MiB live, 1 115.0MiB allocated; 213ms collecting garbage

Samples

480.0ms	8 256×	0	valid
27.0ms	467×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-add: 117.0ms (48.6% of total)

ival-sqrt: 111.0ms (46.1% of total)

ival-true: 6.0ms (2.5% of total)

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

adjust: 2.0ms (0.8% of total)

Bogosity

explain63.0ms (2.3%)

Memory

-19.1MiB live, 84.4MiB allocated; 14ms 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

18.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

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

ival-sqrt: 4.0ms (54.8% of total)

ival-add: 3.0ms (41.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess13.0ms (0.5%)

Memory

38.3MiB live, 38.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 4 to 4 computations (0% saved)

eval18.0ms (0.6%)

Memory: -46.6MiB live, 0.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune1.0ms (0%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 4 computations (0% saved)

series7.0ms (0.2%)

Memory

24.4MiB live, 24.4MiB 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)

simplify207.0ms (7.4%)

Memory

-1.0MiB live, 278.4MiB allocated; 87ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	747
1	528	717
2	2037	677
0	5894	639

Stop Event

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

Counts

31 → 31

Calls

Call 1

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

rewrite121.0ms (4.3%)

Memory

-16.4MiB live, 174.7MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	9
0	6	9
1	22	9
2	140	9
0	1367	9

Stop Event

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

Counts

4 → 69

Calls

Call 1

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

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

eval14.0ms (0.5%)

Memory: 29.1MiB live, 29.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 204 to 404 computations (81.7% saved)

prune4.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Accuracy

100.0%

Counts

99 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	75.6%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))))
▶	97.9%	(sqrt.f64 #s(approx (+ x y) y))
▶	99.0%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 50 to 38 computations (24% saved)

series32.0ms (1.2%)

Memory

-4.7MiB live, 42.4MiB allocated; 5ms collecting garbage

Counts

23 → 68

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	x	@	inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (sqrt y) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (/ x y) -1 (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (/ y x))
3.0ms	x	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (sqrt y) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (/ x y) -1 (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (/ y x))
3.0ms	y	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (sqrt y) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (/ x y) -1 (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (/ y x))
2.0ms	x	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (sqrt y) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (/ x y) -1 (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (/ y x))
2.0ms	y	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (sqrt y)) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (sqrt y) (sqrt (+ x y)) (+ x y) (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (/ x y) -1 (sqrt (+ x y)) (+ x y) (+ (* (/ y x) x) x) (/ y x))

simplify181.0ms (6.5%)

Memory

-0.2MiB live, 228.5MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	261	1236
1	701	1181
2	2569	1141
0	8239	1077

Stop Event

1×	iter limit
1×	node limit

Counts

68 → 68

Calls

Call 1

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

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

rewrite59.0ms (2.1%)

Memory

24.2MiB live, 68.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	42	130
1	133	127
0	882	127

Stop Event

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

Counts

23 → 137

Calls

Call 1

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

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

eval72.0ms (2.6%)

Memory: -17.0MiB live, 40.0MiB allocated; 11ms collecting garbage
Compiler: Compiled 3 961 to 761 computations (80.8% saved)

prune32.0ms (1.2%)

Memory

-31.2MiB live, 14.3MiB allocated; 6ms collecting garbage

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	203	6	209

Accuracy

100.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	75.6%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	97.9%	(sqrt.f64 #s(approx (+ x y) y))
▶	98.2%	#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
✓	99.0%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 77 to 57 computations (26% saved)

series71.0ms (2.5%)

Memory

11.8MiB live, 95.9MiB allocated; 23ms collecting garbage

Counts

20 → 67

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(neg.f64 y)
#s(approx (+ (* (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)

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

Calls

6 calls:

Time	Variable		Point	Expression
27.0ms	y	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (pow y 1/4))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (pow y 1/4)) (pow y 1/4) 1/4 (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (- -1 (/ x y)) -1 (/ x y))
24.0ms	y	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (pow y 1/4))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (pow y 1/4)) (pow y 1/4) 1/4 (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (- -1 (/ x y)) -1 (/ x y))
14.0ms	y	@	inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (pow y 1/4))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (pow y 1/4)) (pow y 1/4) 1/4 (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (- -1 (/ x y)) -1 (/ x y))
2.0ms	x	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (pow y 1/4))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (pow y 1/4)) (pow y 1/4) 1/4 (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (- -1 (/ x y)) -1 (/ x y))
2.0ms	x	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (pow y 1/4))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (pow y 1/4)) (pow y 1/4) 1/4 (sqrt (+ x y)) (+ x y) (* (neg y) (+ (* (/ x y) -1) -1)) (neg y) (+ (* (/ x y) -1) -1) (- -1 (/ x y)) -1 (/ x y))

simplify291.0ms (10.5%)

Memory

-18.9MiB live, 192.1MiB allocated; 160ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	273	1269
1	739	1202
2	2948	1141
0	8636	1078

Stop Event

1×	iter limit
1×	node limit

Counts

67 → 67

Calls

Call 1

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

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

rewrite60.0ms (2.1%)

Memory

27.5MiB live, 77.0MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	37	129
1	132	119
0	871	119

Stop Event

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

Counts

20 → 127

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
#s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))))
(.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))
(neg.f64 y)
#s(approx (+ (* (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y)))
(-.f64 #s(literal -1 binary64) (/.f64 x y))
#s(literal -1 binary64)
(/.f64 x y)

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

eval26.0ms (0.9%)

Memory: 16.0MiB live, 57.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 4 712 to 739 computations (84.3% saved)

prune8.0ms (0.3%)

Memory

-30.9MiB live, 15.2MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	1	1	2
Done	0	4	4
Total	203	6	209

Accuracy

100.0%

Counts

209 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	75.6%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	97.9%	(sqrt.f64 #s(approx (+ x y) y))
▶	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))))
✓	99.0%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 77 to 59 computations (23.4% saved)

series89.0ms (3.2%)

Memory

-13.8MiB live, 138.2MiB allocated; 14ms collecting garbage

Counts

14 → 45

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)

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

Calls

6 calls:

Time	Variable		Point	Expression
59.0ms	y	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (sqrt (sqrt y)))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (sqrt (sqrt y))) (pow y 1/4) 1/4 (sqrt (sqrt y)) (sqrt y))
14.0ms	y	@	0	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (sqrt (sqrt y)))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (sqrt (sqrt y))) (pow y 1/4) 1/4 (sqrt (sqrt y)) (sqrt y))
10.0ms	y	@	inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (sqrt (sqrt y)))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (sqrt (sqrt y))) (pow y 1/4) 1/4 (sqrt (sqrt y)) (sqrt y))
1.0ms	x	@	-inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (sqrt (sqrt y)))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (sqrt (sqrt y))) (pow y 1/4) 1/4 (sqrt (sqrt y)) (sqrt y))
1.0ms	x	@	inf	((sqrt (+ x y)) (+ (* (* 1/2 x) (sqrt (/ 1 y))) (* (pow y 1/4) (sqrt (sqrt y)))) (* 1/2 x) 1/2 x (sqrt (/ 1 y)) (/ 1 y) 1 y (* (pow y 1/4) (sqrt (sqrt y))) (pow y 1/4) 1/4 (sqrt (sqrt y)) (sqrt y))

simplify163.0ms (5.9%)

Memory

36.6MiB live, 374.9MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	237	1068
1	644	1027
2	2704	993
0	8407	942

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

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

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

rewrite52.0ms (1.9%)

Memory

-3.7MiB live, 136.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	65
0	25	60
1	82	47
0	477	47

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

14 → 95

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))))
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y))))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(/.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))
(pow.f64 y #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
(sqrt.f64 (sqrt.f64 y))
(sqrt.f64 y)

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

eval18.0ms (0.7%)

Memory: -13.7MiB live, 38.1MiB allocated; 5ms collecting garbage
Compiler: Compiled 2 936 to 492 computations (83.2% saved)

prune5.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	120	6	126

Accuracy

100.0%

Counts

126 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	75.6%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
✓	97.9%	(sqrt.f64 #s(approx (+ x y) y))
	98.2%	#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))))
✓	99.0%	#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))

Compiler

Compiled 208 to 105 computations (49.5% saved)

regimes13.0ms (0.5%)

Memory

-13.0MiB live, 33.9MiB allocated; 3ms collecting garbage

Counts

9 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(approx (+ x y) y))
(sqrt.f64 (+.f64 x y))
(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
(sqrt.f64 #s(approx (+ x y) (.f64 (neg.f64 y) #s(approx (+ ( (/ x y) -1) -1) (-.f64 #s(literal -1 binary64) (/.f64 x y))))))
(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (fma.f64 (/.f64 x y) #s(literal -1 binary64) #s(literal -1 binary64)))))
#s(approx (sqrt (+ x y)) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (sqrt.f64 (sqrt.f64 y)) (sqrt.f64 (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (fma.f64 (.f64 #s(literal 1/2 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 1/4 binary64)))))

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

Calls

4 calls:

4.0ms	x
3.0ms	y
3.0ms	(+.f64 x y)
3.0ms	(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)

regimes6.0ms (0.2%)

Memory

16.6MiB live, 16.6MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes29.0ms (1%)

Memory

-37.3MiB live, 9.7MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

25.0ms	(+.f64 x y)
1.0ms	(sqrt.f64 (+.f64 x y))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
97.9%	1	`(+.f64 x y)`
97.9%	1	`(sqrt.f64 (+.f64 x y))`
97.9%	1	`x`
97.9%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

simplify64.0ms (2.3%)

Memory

1.9MiB live, 48.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	31
1	34	30
2	60	30
3	101	29
4	190	29
5	648	29
6	3070	29

Stop Event

1×	node limit

Calls

Call 1

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

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

derivations143.0ms (5.2%)

Memory

9.6MiB live, 97.1MiB allocated; 19ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 31 to 19 computations (38.7% saved)

preprocess25.0ms (0.9%)

Memory: 42.9MiB live, 42.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 154 to 106 computations (31.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze81.0ms (2.9%)

sample811.0ms (29.2%)

explain63.0ms (2.3%)

preprocess13.0ms (0.5%)

eval18.0ms (0.6%)

prune1.0ms (0%)

series7.0ms (0.2%)

simplify207.0ms (7.4%)

rewrite121.0ms (4.3%)

eval14.0ms (0.5%)

prune4.0ms (0.1%)

series32.0ms (1.2%)

simplify181.0ms (6.5%)

rewrite59.0ms (2.1%)

eval72.0ms (2.6%)

prune32.0ms (1.2%)

series71.0ms (2.5%)

simplify291.0ms (10.5%)

rewrite60.0ms (2.1%)

eval26.0ms (0.9%)

prune8.0ms (0.3%)

series89.0ms (3.2%)

simplify163.0ms (5.9%)

rewrite52.0ms (1.9%)

eval18.0ms (0.7%)

prune5.0ms (0.2%)

regimes13.0ms (0.5%)

regimes6.0ms (0.2%)

regimes29.0ms (1%)

simplify64.0ms (2.3%)

derivations143.0ms (5.2%)

preprocess25.0ms (0.9%)

end0.0ms (0%)

Profiling