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

start0.0ms (0%)

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

analyze36.0ms (2.8%)

Memory

-28.0MiB live, 15.7MiB allocated; 9ms 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)

sample571.0ms (43.4%)

Memory

70.0MiB live, 902.4MiB allocated; 206ms collecting garbage

Samples

365.0ms	8 256×	0	valid
13.0ms	451×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 191.0ms

ival-sqrt: 146.0ms (76.6% of total)

ival-add!: 43.0ms (22.6% of total)

adjust: 2.0ms (1% of total)

Bogosity

preprocess73.0ms (5.6%)

Memory

-19.5MiB live, 25.2MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	21	30

Stop Event

1×

saturated

Alt Table

Click to see full alt table

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

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series5.0ms (0.4%)

Memory

7.7MiB live, 7.7MiB 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 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (/ x (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#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 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ y (sqrt x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

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

rewrite154.0ms (11.7%)

Memory

9.5MiB live, 238.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	792
0	169	750
1	879	690
0	8253	656

Stop Event

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

Counts

35 → 49

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 x y))
(+.f64 x y)
x
y
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ x (sqrt y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (/ x (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#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 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* x (- (* -1 (/ y x)) 1)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt x)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* 1/2 (/ y (sqrt x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
(*.f64 (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (+.f64 y x) #s(literal 1/4 binary64)))
(pow.f64 (+.f64 y x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
(/.f64 (sqrt.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (sqrt.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(sqrt.f64 (+.f64 y x))
(exp.f64 (*.f64 (log.f64 (+.f64 y x)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x))) (neg.f64 (fma.f64 y (-.f64 y x) (.f64 x x))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y (-.f64 y x) (.f64 x x)))
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 y (-.f64 y x) (.f64 x x))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 y (-.f64 y x) (.f64 x x))))
(+.f64 y x)
(+.f64 x y)
x
y
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) y))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx x x)
#s(approx (sqrt (+ x y)) (/.f64 x (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 y (.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64))) x (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (fma.f64 x (fma.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (.f64 (/.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))) (/.f64 x (sqrt.f64 x))))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (sqrt (+ x y)) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (.f64 (neg.f64 x) (fma.f64 (/.f64 y (.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (fma.f64 (/.f64 y (.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 x (fma.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (.f64 (/.f64 y (*.f64 (/.f64 x (sqrt.f64 x)) x)) #s(literal 1/2 binary64)))) (/.f64 x (sqrt.f64 x)))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (/.f64 y (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 x (.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64))) y (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (fma.f64 y (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y))))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
#s(approx (sqrt (+ x y)) (neg.f64 (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 x (.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (.f64 (neg.f64 y) (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1/8 binary64) (fma.f64 (/.f64 x (.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 (.f64 (.f64 y y) y) y))) #s(literal -1/8 binary64) (.f64 (/.f64 x (*.f64 (/.f64 y (sqrt.f64 y)) y)) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y)))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))

eval4.0ms (0.3%)

Memory: 13.2MiB live, 13.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 506 to 196 computations (61.3% saved)

prune2.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Accuracy

100.0%

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
▶	80.1%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
▶	98.1%	(sqrt.f64 #s(approx (+ x y) y))
▶	3.1%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 33 to 33 computations (0% saved)

series16.0ms (1.2%)

Memory

-30.9MiB live, 30.6MiB allocated; 6ms collecting garbage

Counts

18 → 39

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ x (sqrt y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (/ x (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt 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 x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (* -1 (/ y x))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) x)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 -1))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (- (* -1 (/ y x)) 1)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))))
#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 (/ y (sqrt x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (* -1 (* y (+ (/ 1 x) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (- (/ (neg y) x) 1) (/ (neg y) x) (neg y) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
2.0ms	y	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (- (/ (neg y) x) 1) (/ (neg y) x) (neg y) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
2.0ms	x	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (- (/ (neg y) x) 1) (/ (neg y) x) (neg y) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
2.0ms	y	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (- (/ (neg y) x) 1) (/ (neg y) x) (neg y) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
1.0ms	x	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg x) (- (/ (neg y) x) 1)) (neg x) (- (/ (neg y) x) 1) (/ (neg y) x) (neg y) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))

rewrite294.0ms (22.4%)

Memory

-10.4MiB live, 211.1MiB allocated; 117ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	971
0	213	920
1	1015	844
0	8438	815

Stop Event

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

Counts

57 → 175

Calls

Call 1

Inputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 #s(approx (+ x y) y))
#s(approx (+ x y) y)
y
(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
#s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(neg.f64 x)
(-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(/.f64 (neg.f64 y) x)
(neg.f64 y)
#s(literal 1 binary64)
(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
#s(approx (+ x y) (fma.f64 (/.f64 x y) y y))
(fma.f64 (/.f64 x y) y y)
(/.f64 x y)
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ x (sqrt y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* -1/8 (/ x (pow (sqrt y) 3))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* x (+ (* x (- (* 1/16 (/ x (pow (sqrt y) 5))) (* 1/8 (/ 1 (pow (sqrt y) 3))))) (* 1/2 (/ 1 (sqrt y))))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt 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 x) #s(hole binary64 (* -1 x)))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (* -1 (/ y x))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) x)))
#s(approx (/ x y) #s(hole binary64 (/ x y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (sqrt (/ 1 x)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (+ x y) #s(hole binary64 (* x (+ 1 (/ y x)))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 -1))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (- (* -1 (/ y x)) 1)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (sqrt (/ 1 x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* x (+ (sqrt (/ 1 x)) (+ (* -1/8 (/ (pow y 2) (* (pow x 4) (pow (sqrt (/ 1 x)) 3)))) (+ (* 1/16 (/ (pow y 3) (* (pow x 6) (pow (sqrt (/ 1 x)) 5)))) (* 1/2 (/ y (* (pow x 2) (sqrt (/ 1 x))))))))))))
#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 (/ y (sqrt x))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* -1/8 (/ y (pow (sqrt x) 3))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt x) (* y (+ (* y (- (* 1/16 (/ y (pow (sqrt x) 5))) (* 1/8 (/ 1 (pow (sqrt x) 3))))) (* 1/2 (/ 1 (sqrt x))))))))
#s(approx (neg y) #s(hole binary64 (* -1 y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (sqrt (/ 1 y)))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (+ x y) #s(hole binary64 (* y (+ 1 (/ x y)))))
#s(approx (- (/ (neg y) x) 1) #s(hole binary64 (* -1 (* y (+ (/ 1 x) (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (sqrt (/ 1 y))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y)))))))))))
#s(approx (sqrt (+ x y)) #s(hole binary64 (* -1 (* y (+ (sqrt (/ 1 y)) (+ (* -1/8 (/ (pow x 2) (* (pow y 4) (pow (sqrt (/ 1 y)) 3)))) (+ (* 1/16 (/ (pow x 3) (* (pow y 6) (pow (sqrt (/ 1 y)) 5)))) (* 1/2 (/ x (* (pow y 2) (sqrt (/ 1 y))))))))))))
#s(approx (+ x y) #s(hole binary64 (* -1 (* y (- (* -1 (/ x y)) 1)))))

Outputs
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
x
(*.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)
y
(.f64 (pow.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))))
(exp.f64 (.f64 (log.f64 #s(approx (+ x y) (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)))) #s(literal 1/2 binary64)))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))) x)
(.f64 (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x))
(*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
(.f64 x (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 x (.f64 #s(literal -1 binary64) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(*.f64 x (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (neg.f64 x) (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(/.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) (neg.f64 x)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (*.f64 x x)) (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (neg.f64 x)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(neg.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x)))
(neg.f64 (.f64 (.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
(.f64 (neg.f64 (/.f64 (+.f64 y x) (.f64 y x))) y)
(.f64 (/.f64 (+.f64 y x) (.f64 y x)) (neg.f64 y))
(*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(.f64 (neg.f64 y) (/.f64 (+.f64 y x) (.f64 y x)))
(.f64 y (.f64 (/.f64 (+.f64 y x) (*.f64 y x)) #s(literal -1 binary64)))
(.f64 y (.f64 #s(literal -1 binary64) (/.f64 (+.f64 y x) (*.f64 y x))))
(.f64 y (neg.f64 (/.f64 (+.f64 y x) (.f64 y x))))
(/.f64 (.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (.f64 y y)))) (/.f64 (-.f64 y x) (.f64 y x)))
(/.f64 (.f64 (neg.f64 y) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)))) (+.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (.f64 y x)))))
(/.f64 (.f64 (neg.f64 y) (+.f64 y x)) (.f64 y x))
(/.f64 (-.f64 (.f64 y #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64))) (neg.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) (neg.f64 (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(/.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 x x)) (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x))))
(neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (/.f64 y x) #s(literal -1 binary64))))
(neg.f64 (*.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(neg.f64 (-.f64 (/.f64 y x) #s(literal -1 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y) (*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)))
(fma.f64 (/.f64 y x) #s(literal -1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 y x) #s(literal -1 binary64))
(fma.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 y (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 x x)) (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (neg.f64 y) y) y) (.f64 (.f64 x x) x)) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) (/.f64 y x) (-.f64 #s(literal 1 binary64) (/.f64 y x)))))
(-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(+.f64 (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (neg.f64 y)) (.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 y)))
(+.f64 (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) y)) (.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64))
(*.f64 (/.f64 y x) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 y x))
(*.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64))
(*.f64 y (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 y #s(literal -1 binary64)) x)
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) x)
(/.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) (.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 y #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 y x) #s(literal -1 binary64))
(/.f64 (neg.f64 y) x)
(/.f64 y (neg.f64 x))
(neg.f64 (*.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)))
(neg.f64 (/.f64 y x))
(*.f64 #s(literal -1 binary64) y)
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)
#s(literal 1 binary64)
(*.f64 (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (+ x y) (+.f64 y x)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ x y) (+.f64 y x)))
(exp.f64 (*.f64 (log.f64 #s(approx (+ x y) (+.f64 y x))) #s(literal 1/2 binary64)))
#s(approx (+ x y) (+.f64 y x))
(*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)
(*.f64 #s(literal -1 binary64) (-.f64 (neg.f64 y) x))
(*.f64 #s(literal 1 binary64) (+.f64 y x))
(*.f64 y (-.f64 (/.f64 x y) #s(literal -1 binary64)))
(/.f64 (.f64 y (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (*.f64 y y))) y) (-.f64 #s(literal 1 binary64) (/.f64 x y)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) y) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 x y) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (fma.f64 (.f64 y y) y (.f64 (.f64 x x) x)) (fma.f64 y y (-.f64 (.f64 x x) (*.f64 y x))))
(/.f64 (neg.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (neg.f64 y) y) y))) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (neg.f64 (-.f64 x y)))
(/.f64 (neg.f64 (*.f64 (+.f64 y x) (-.f64 x y))) (+.f64 (neg.f64 x) y))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y))) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (neg.f64 (+.f64 (neg.f64 x) y)))
(/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (-.f64 x y))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 y y) y)) (fma.f64 x x (.f64 y (-.f64 y x))))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) x (.f64 (.f64 (neg.f64 y) y) y)) (neg.f64 (fma.f64 x x (.f64 y (-.f64 y x)))))
(neg.f64 (-.f64 (neg.f64 y) x))
(fma.f64 (/.f64 x y) y y)
(-.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y)))
(-.f64 y (*.f64 (/.f64 (neg.f64 x) y) y))
(-.f64 y (*.f64 (neg.f64 y) (/.f64 x y)))
(-.f64 y (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (.f64 y (-.f64 y x)))) (/.f64 (.f64 (.f64 y y) y) (fma.f64 x x (.f64 y (-.f64 y x)))))
(+.f64 y x)
(+.f64 x y)
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y))
(*.f64 (/.f64 x y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y))
(*.f64 #s(literal 1 binary64) (/.f64 x y))
(*.f64 x (/.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 x y)) #s(literal 2 binary64))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y)
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) y))
(/.f64 (/.f64 (neg.f64 x) y) #s(literal -1 binary64))
(/.f64 (neg.f64 x) (neg.f64 y))
(/.f64 x y)
(neg.f64 (/.f64 (neg.f64 x) y))
#s(approx (sqrt (+ x y)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 x (*.f64 (sqrt.f64 y) y)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 y) y))) x (/.f64 #s(literal 1/2 binary64) (sqrt.f64 y))) x (sqrt.f64 y)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 y x))
#s(approx (neg x) (neg.f64 x))
#s(approx (- (/ (neg y) x) 1) (/.f64 (neg.f64 y) x))
#s(approx (- (/ (neg y) x) 1) (/.f64 (-.f64 (neg.f64 y) x) x))
#s(approx (/ x y) (/.f64 x y))
#s(approx (sqrt (+ x y)) (/.f64 x (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 y (.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64))) x (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (fma.f64 x (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 y (*.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))) (/.f64 x (sqrt.f64 x))))
#s(approx (+ x y) (fma.f64 (/.f64 y x) x x))
#s(approx (- (/ (neg y) x) 1) #s(literal -1 binary64))
#s(approx (- (/ (neg y) x) 1) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ x y)) (neg.f64 (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 y (.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 x)))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (.f64 (/.f64 y (.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64))) x (/.f64 x (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 x (fma.f64 (/.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)) (.f64 (.f64 x x) (.f64 x x)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 x))) #s(literal 5 binary64) (.f64 (log.f64 x) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 y (*.f64 x (/.f64 x (sqrt.f64 x)))) #s(literal 1/2 binary64)))) (/.f64 x (sqrt.f64 x)))))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)) (neg.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 y (*.f64 (sqrt.f64 x) x)) #s(literal -1/8 binary64) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (fma.f64 (/.f64 y (pow.f64 x #s(literal 5/2 binary64))) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))) y (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) y (sqrt.f64 x)))
#s(approx (neg y) (neg.f64 y))
#s(approx (sqrt (+ x y)) (/.f64 y (sqrt.f64 y)))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 x (.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) y))
#s(approx (sqrt (+ x y)) (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 y (.f64 (.f64 y y) y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64))) y (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (fma.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 y (.f64 (.f64 y y) y)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 x (*.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y))))
#s(approx (+ x y) (+.f64 y x))
#s(approx (- (/ (neg y) x) 1) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ x y)) (neg.f64 (/.f64 y (sqrt.f64 y))))
#s(approx (sqrt (+ x y)) (.f64 (fma.f64 (/.f64 x (.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 y)))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 y (.f64 (.f64 y y) y)))) #s(literal -1/8 binary64) (.f64 (/.f64 x (.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64))) y (/.f64 y (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (neg.f64 (fma.f64 y (fma.f64 (/.f64 (.f64 x x) (.f64 (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 y) y)) (.f64 y (.f64 (.f64 y y) y)))) #s(literal -1/8 binary64) (fma.f64 (/.f64 (.f64 (.f64 x x) x) (exp.f64 (fma.f64 (neg.f64 (log.f64 (sqrt.f64 y))) #s(literal 5 binary64) (.f64 (log.f64 y) #s(literal 6 binary64))))) #s(literal 1/16 binary64) (.f64 (/.f64 x (*.f64 y (/.f64 y (sqrt.f64 y)))) #s(literal 1/2 binary64)))) (/.f64 y (sqrt.f64 y)))))
#s(approx (+ x y) (*.f64 (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) (neg.f64 y)))

eval36.0ms (2.8%)

Memory: -15.3MiB live, 36.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 440 to 732 computations (49.2% saved)

prune6.0ms (0.4%)

Memory

14.1MiB live, 14.2MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	158	5	163

Accuracy

100.0%

Counts

163 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 x y))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 x y) y y)))
✓	80.1%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 x) (-.f64 (/.f64 (neg.f64 y) x) #s(literal 1 binary64)))))
✓	98.1%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.1%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 58 to 55 computations (5.2% saved)

regimes15.0ms (1.1%)

Memory

-24.1MiB live, 21.0MiB allocated; 4ms collecting garbage

Counts

5 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	y
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	x
2.0ms	(+.f64 x y)

Results

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

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.4%)

Memory

12.2MiB live, 12.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.1%	1	`(+.f64 x y)`
98.1%	1	`(sqrt.f64 (+.f64 x y))`
98.1%	1	`x`
98.1%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes4.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
3.1%	1	`(+.f64 x y)`
3.1%	1	`(sqrt.f64 (+.f64 x y))`
3.1%	1	`x`
3.1%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

derivations74.0ms (5.6%)

Memory

-47.3MiB live, 51.0MiB allocated; 6ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 11 to 10 computations (9.1% saved)

preprocess19.0ms (1.4%)

Memory: 43.4MiB live, 43.4MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 45 to 44 computations (2.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze36.0ms (2.8%)

sample571.0ms (43.4%)

preprocess73.0ms (5.6%)

series5.0ms (0.4%)

rewrite154.0ms (11.7%)

eval4.0ms (0.3%)

prune2.0ms (0.2%)

series16.0ms (1.2%)

rewrite294.0ms (22.4%)

eval36.0ms (2.8%)

prune6.0ms (0.4%)

regimes15.0ms (1.1%)

regimes5.0ms (0.4%)

regimes4.0ms (0.3%)

derivations74.0ms (5.6%)

preprocess19.0ms (1.4%)

end0.0ms (0%)

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