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

analyze15.0ms (0.7%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
28.6%	25%	62.4%	0.1%	0%	12.5%	0%	4
46.2%	37.5%	43.7%	0.1%	0%	18.7%	0%	5
52.2%	37.5%	34.3%	0.1%	0%	28.1%	0%	6
65.1%	43.7%	23.4%	0.1%	0%	32.8%	0%	7
70.9%	43.7%	18%	0.1%	0%	38.2%	0%	8
79.5%	46.8%	12.1%	0.1%	0%	41%	0%	9
83.6%	46.8%	9.2%	0.1%	0%	43.9%	0%	10
88.7%	48.4%	6.1%	0.1%	0%	45.4%	0%	11
91.3%	48.4%	4.6%	0.1%	0%	46.9%	0%	12

Compiler

Compiled 6 to 6 computations (0% saved)

sample1.1s (45.8%)

Memory

-99.2MiB live, 518.9MiB allocated; 1.2s collecting garbage

Samples

334.0ms	8 256×	0	valid
55.0ms	529×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-sqrt: 126.0ms (71.4% of total)

ival-add!: 49.0ms (27.8% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess38.0ms (1.6%)

Memory

-19.9MiB live, 23.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	62	28
2	455	26

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(sqrt.f64 (+.f64 x y))

Symmetry

(abs x)

(abs y)

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

series102.0ms (4.3%)

Memory

0.8MiB live, 44.8MiB allocated; 12ms 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)) (sqrt.f64 y))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (pow.f64 (sqrt.f64 y) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))))
#s(approx (+ x y) y)
#s(approx (+ x y) (+.f64 x y))
#s(approx x x)
#s(approx (sqrt (+ x y)) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 y (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 y x)) #s(literal 1 binary64)))))
#s(approx (sqrt (+ x y)) (sqrt.f64 x))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 x)))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 x) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ x y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ x y)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 5 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 x (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ x y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x y)) #s(literal 1 binary64)))))

Calls

6 calls:

Time	Variable	Point
1.0ms	x	-inf
1.0ms	x	inf
1.0ms	y	-inf
1.0ms	y	inf
0.0ms	x	0

rewrite158.0ms (6.6%)

Memory

7.6MiB live, 53.6MiB allocated; 16ms collecting garbage

Counts

4 → 12

Calls

Call 1

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

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

eval6.0ms (0.3%)

Memory: 7.3MiB live, 7.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 997 to 214 computations (78.5% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	7	42

Accuracy

100.0%

Counts

42 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(sqrt.f64 (+.f64 x y))
	33.2%	(sqrt.f64 (.f64 (/.f64 (.f64 (+.f64 x y) (-.f64 x y)) (-.f64 (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (fma.f64 y (+.f64 x y) (*.f64 x x))))
▶	98.6%	(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	72.7%	(sqrt.f64 #s(approx (+ x y) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
▶	97.8%	(sqrt.f64 #s(approx (+ x y) y))
▶	98.4%	#s(approx (sqrt (+ x y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 y)))))
▶	6.4%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 164 to 110 computations (32.9% saved)

series135.0ms (5.7%)

Memory

4.0MiB live, 57.9MiB allocated; 19ms collecting garbage

Counts

23 → 48

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
20.0ms	x	-inf
4.0ms	y	-inf
3.0ms	x	inf
3.0ms	x	0
3.0ms	y	inf

rewrite239.0ms (10%)

Memory

-19.8MiB live, 214.8MiB allocated; 54ms collecting garbage

Counts

23 → 80

Calls

Call 1

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

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

eval36.0ms (1.5%)

Memory: 26.1MiB live, 67.5MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 943 to 708 computations (75.9% saved)

prune16.0ms (0.7%)

Memory

-22.9MiB live, 21.4MiB allocated; 10ms collecting garbage

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	140	4	144
Fresh	1	0	1
Picked	2	3	5
Done	0	1	1
Total	143	8	151

Accuracy

100.0%

Counts

151 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(sqrt.f64 (+.f64 x y))
▶	72.7%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
▶	18.3%	(sqrt.f64 #s(approx (+ x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))))))
✓	98.6%	(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	98.5%	(sqrt.f64 #s(approx (+ x y) (.f64 y #s(approx (+ 1 (/ x y)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))))))
✓	97.8%	(sqrt.f64 #s(approx (+ x y) y))
▶	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
✓	6.4%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 97 to 69 computations (28.9% saved)

series247.0ms (10.4%)

Memory

-9.7MiB live, 106.7MiB allocated; 164ms collecting garbage

Counts

29 → 76

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
92.0ms	y	-inf
19.0ms	y	inf
10.0ms	x	0
4.0ms	x	inf
3.0ms	x	-inf

rewrite187.0ms (7.9%)

Memory

2.8MiB live, 188.8MiB allocated; 26ms collecting garbage

Counts

29 → 105

Calls

Call 1

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

Outputs
#s(approx y (fma.f64 y #s(literal 1/2 binary64) y))
(*.f64 (fma.f64 y #s(literal 1/2 binary64) y) y)
(*.f64 y (fma.f64 y #s(literal 1/2 binary64) y))
(*.f64 (pow.f64 (fma.f64 y #s(literal 1/2 binary64) y) (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))) (pow.f64 (fma.f64 y #s(literal 1/2 binary64) y) (/.f64 #s(literal 3 binary64) #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y y) (fma.f64 y #s(literal 1/2 binary64) y))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64)) y y) (fma.f64 #s(literal 1/2 binary64) (fma.f64 y #s(literal 1/2 binary64) y) y))
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
#s(literal 1/2 binary64)
(sqrt.f64 #s(approx y (*.f64 y #s(approx y y))))
#s(approx y (*.f64 y #s(approx y y)))
(*.f64 y #s(approx y y))
#s(approx y y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
(sqrt.f64 #s(approx y y))
#s(approx y y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
#s(literal 1 binary64)
#s(literal 2 binary64)
#s(literal 0 binary64)
x
(*.f64 #s(literal 1 binary64) #s(literal 1 binary64))
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)
(sqrt.f64 #s(approx y y))
#s(approx y y)
y
(*.f64 y y)
(*.f64 y #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) y)
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) #s(literal 1 binary64))) y)

eval11.0ms (0.5%)

Memory: 16.5MiB live, 16.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 769 to 644 computations (76.7% saved)

prune4.0ms (0.2%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	0	0
Picked	0	4	4
Done	0	4	4
Total	108	8	116

Accuracy

100.0%

Counts

116 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.6%	(sqrt.f64 (+.f64 x y))
✓	72.7%	(sqrt.f64 #s(approx (+ x y) (fma.f64 (/.f64 y x) x x)))
✓	18.3%	(sqrt.f64 #s(approx (+ x y) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (*.f64 x x))) (/.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))))))
✓	98.6%	(sqrt.f64 #s(approx (+ x y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	98.5%	(sqrt.f64 #s(approx (+ x y) (.f64 y #s(approx (+ 1 (/ x y)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y)))))))
✓	97.8%	(sqrt.f64 #s(approx (+ x y) y))
✓	98.4%	#s(approx (sqrt (+ x y)) (fma.f64 (/.f64 x (sqrt.f64 y)) #s(literal 1/2 binary64) (sqrt.f64 y)))
✓	6.4%	#s(approx (sqrt (+ x y)) (sqrt.f64 x))

Compiler

Compiled 97 to 69 computations (28.9% saved)

regimes37.0ms (1.6%)

Memory

-14.8MiB live, 75.6MiB allocated; 6ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

2 → 1

5 → 1

11 → 1

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Calls

16 calls:

5.0ms	y
3.0ms	x
3.0ms	(sqrt.f64 (+.f64 x y))
3.0ms	(+.f64 x y)
3.0ms	(+.f64 x y)

Results

Accuracy	Segments	Branch
6.4%	1	`(+.f64 x y)`
6.4%	1	`(sqrt.f64 (+.f64 x y))`
6.4%	1	`x`
6.4%	1	`y`
97.8%	1	`(+.f64 x y)`
97.8%	1	`(sqrt.f64 (+.f64 x y))`
97.8%	1	`x`
97.8%	1	`y`
98.6%	1	`(+.f64 x y)`
98.6%	1	`(sqrt.f64 (+.f64 x y))`
98.6%	1	`x`
98.6%	1	`y`
98.6%	1	`(+.f64 x y)`
98.6%	1	`(sqrt.f64 (+.f64 x y))`
98.6%	1	`x`
98.6%	1	`y`

Compiler

Compiled 188 to 105 computations (44.1% saved)

derivations1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 29 to 16 computations (44.8% saved)

preprocess51.0ms (2.1%)

Memory

-9.1MiB live, 90.1MiB allocated; 8ms collecting garbage

Remove

(abs y)

(sort x y)

Compiler

Compiled 285 to 228 computations (20% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze15.0ms (0.7%)

sample1.1s (45.8%)

preprocess38.0ms (1.6%)

series102.0ms (4.3%)

rewrite158.0ms (6.6%)

eval6.0ms (0.3%)

prune4.0ms (0.2%)

series135.0ms (5.7%)

rewrite239.0ms (10%)

eval36.0ms (1.5%)

prune16.0ms (0.7%)

series247.0ms (10.4%)

rewrite187.0ms (7.9%)

eval11.0ms (0.5%)

prune4.0ms (0.2%)

regimes37.0ms (1.6%)

derivations1.0ms (0%)

preprocess51.0ms (2.1%)

end0.0ms (0%)

Profiling