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

analyze24.0ms (1.5%)

Memory

-6.9MiB live, 35.9MiB allocated; 8ms 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)

sample663.0ms (42%)

Memory

-5.9MiB live, 841.8MiB allocated; 216ms collecting garbage

Samples

434.0ms	8 256×	0	valid
19.0ms	554×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-sqrt: 98.0ms (74.1% of total)

ival-add!: 33.0ms (24.9% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

preprocess13.0ms (0.8%)

Memory

24.4MiB live, 24.4MiB allocated; 0ms 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 (0.3%)

Memory

8.4MiB live, 8.4MiB 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 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)

rewrite163.0ms (10.3%)

Memory

-24.4MiB live, 248.4MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	168	792
0	169	750
1	879	682
0	8275	648

Stop Event

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

Counts

35 → 50

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 (sqrt.f64 (+.f64 y x)) #s(literal 1 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))))

eval5.0ms (0.3%)

Memory: 12.0MiB live, 12.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 509 to 197 computations (61.3% saved)

prune2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Accuracy

100.0%

Counts

48 → 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)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
▶	98.2%	(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)

series10.0ms (0.7%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms 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 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))))
#s(approx (+ x y) (*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))))
(*.f64 (neg.f64 y) (-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)))
(neg.f64 y)
(-.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64))
(/.f64 (neg.f64 x) y)
(neg.f64 x)
#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) y) 1) #s(hole binary64 -1))
#s(approx (- (/ (neg x) y) 1) #s(hole binary64 (- (* -1 (/ x y)) 1)))
#s(approx (/ (neg x) y) #s(hole binary64 (* -1 (/ x y))))
#s(approx (neg x) #s(hole binary64 (* -1 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 x) y) 1) #s(hole binary64 (* -1 (* x (+ (/ 1 x) (/ 1 y))))))
#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 (- (/ (neg x) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* -1 y)) 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 (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
2.0ms	y	@	inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
2.0ms	x	@	0	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x) 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 y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x) 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 y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))
1.0ms	y	@	-inf	((sqrt (+ x y)) (sqrt x) x (sqrt (+ x y)) (+ x y) y (sqrt (+ x y)) (+ x y) (* (neg y) (- (/ (neg x) y) 1)) (neg y) (- (/ (neg x) y) 1) (/ (neg x) y) (neg x) 1 (sqrt (+ x y)) (+ x y) (+ (* (/ x y) y) y) (/ x y))

rewrite150.0ms (9.5%)

Memory

-1.5MiB live, 229.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	969
0	214	919
1	1016	846
0	8410	817

Stop Event

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

Counts

57 → 152

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

eval112.0ms (7.1%)

Memory: -12.8MiB live, 59.6MiB allocated; 116ms collecting garbage
Compiler: Compiled 1 287 to 618 computations (52% saved)

prune26.0ms (1.6%)

Memory

-46.7MiB live, 6.7MiB allocated; 19ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	135	5	140

Accuracy

100.0%

Counts

140 → 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)))
▶	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
✓	98.2%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.1%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 31 to 31 computations (0% saved)

series5.0ms (0.3%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Counts

8 → 36

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ x y)) #s(hole binary64 (sqrt y)))
#s(approx (sqrt (+ x y)) #s(hole binary64 (+ (sqrt y) (* 1/2 (/ x (sqrt 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 y) -1) #s(hole binary64 1))
#s(approx (- (/ x y) -1) #s(hole binary64 (+ 1 (/ x 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 (- (/ x y) -1) #s(hole binary64 (* x (+ (/ 1 x) (/ 1 y)))))
#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 (- (/ x y) -1) #s(hole binary64 (/ (+ x y) 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 (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) y) (- (/ x y) -1) (/ x y) x y -1)
1.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1)
1.0ms	x	@	inf	((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1)
1.0ms	y	@	inf	((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1)
1.0ms	x	@	0	((sqrt (+ x y)) (+ x y) (* (- (/ x y) -1) y) (- (/ x y) -1) (/ x y) x y -1)

rewrite190.0ms (12%)

Memory

8.1MiB live, 148.3MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	180	875
0	186	829
1	934	761
0	8389	728

Stop Event

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

Counts

44 → 124

Calls

Call 1

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

eval11.0ms (0.7%)

Memory: 18.6MiB live, 18.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 178 to 579 computations (50.8% saved)

prune4.0ms (0.3%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	110	5	115

Accuracy

100.0%

Counts

115 → 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)))
✓	100.0%	(sqrt.f64 #s(approx (+ x y) (*.f64 (-.f64 (/.f64 x y) #s(literal -1 binary64)) y)))
✓	98.2%	(sqrt.f64 #s(approx (+ x y) y))
✓	3.1%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 62 to 58 computations (6.5% saved)

regimes11.0ms (0.7%)

Memory

-27.9MiB live, 19.7MiB allocated; 4ms collecting garbage

Counts

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

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

Calls

4 calls:

3.0ms	x
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	y
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)

regimes8.0ms (0.5%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Counts

4 → 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)))

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

Calls

4 calls:

2.0ms	x
2.0ms	(sqrt.f64 (+.f64 x y))
2.0ms	y
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 (0.3%)

Memory

12.4MiB live, 12.4MiB 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	x
1.0ms	(+.f64 x y)
1.0ms	(sqrt.f64 (+.f64 x y))
1.0ms	y

Results

Accuracy	Segments	Branch
98.2%	1	`(+.f64 x y)`
98.2%	1	`(sqrt.f64 (+.f64 x y))`
98.2%	1	`x`
98.2%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes5.0ms (0.3%)

Memory

-36.8MiB live, 9.8MiB allocated; 2ms 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)

derivations133.0ms (8.4%)

Memory

1.2MiB live, 97.2MiB allocated; 11ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess33.0ms (2.1%)

Memory: 27.9MiB live, 74.0MiB allocated; 4ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 70 to 68 computations (2.9% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze24.0ms (1.5%)

sample663.0ms (42%)

preprocess13.0ms (0.8%)

series5.0ms (0.3%)

rewrite163.0ms (10.3%)

eval5.0ms (0.3%)

prune2.0ms (0.1%)

series10.0ms (0.7%)

rewrite150.0ms (9.5%)

eval112.0ms (7.1%)

prune26.0ms (1.6%)

series5.0ms (0.3%)

rewrite190.0ms (12%)

eval11.0ms (0.7%)

prune4.0ms (0.3%)

regimes11.0ms (0.7%)

regimes8.0ms (0.5%)

regimes5.0ms (0.3%)

regimes5.0ms (0.3%)

derivations133.0ms (8.4%)

preprocess33.0ms (2.1%)

end0.0ms (0%)

Profiling