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

analyze17.0ms (1.7%)

Memory

23.4MiB live, 23.4MiB 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)

sample773.0ms (80.4%)

Memory

-17.7MiB live, 741.6MiB allocated; 334ms collecting garbage

Samples

441.0ms	8 256×	0	valid
19.0ms	516×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 138.0ms

ival-sqrt: 74.0ms (53.7% of total)

ival-add: 59.0ms (42.8% of total)

ival-assert: 3.0ms (2.2% of total)

adjust: 2.0ms (1.5% of total)

Bogosity

explain42.0ms (4.4%)

Memory

40.2MiB live, 82.9MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(sqrt.f64 (+.f64 x y))`
-	-	`y`
-	-	`(+.f64 x y)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

18.0ms

512×

valid

Compiler

Compiled 26 to 16 computations (38.5% saved)

Precisions

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

ival-add: 3.0ms (42.7% of total)

ival-sqrt: 3.0ms (42.7% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess18.0ms (1.9%)

Memory

-18.1MiB live, 26.7MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	16	30
0	4	4
0	6	4
1	7	4
0	7	4

Stop Event

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

Calls

Call 1

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

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

Symmetry

(sort x y)

Compiler

Compiled 4 to 4 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

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

Compiler

Compiled 4 to 4 computations (0% saved)

series6.0ms (0.7%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

4 → 31

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	((sqrt (+ x y)) (+ x y) x y)
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)
0.0ms	x	@	0	((sqrt (+ x y)) (+ x y) x y)

rewrite69.0ms (7.2%)

Memory

-5.5MiB live, 100.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

35 → 39

Calls

Call 1

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

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

eval5.0ms (0.5%)

Memory: 9.5MiB live, 9.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 829 to 187 computations (77.4% saved)

prune12.0ms (1.2%)

Memory

-30.8MiB live, 14.6MiB allocated; 6ms collecting garbage

Pruning

1 alts after pruning (0 fresh and 1 done)

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

Accuracy

100.0%

Counts

40 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 8 computations (0% saved)

simplify9.0ms (0.9%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4

Stop Event

1×

saturated

Calls

Call 1

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

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

derivations0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 4 to 4 computations (0% saved)

preprocess10.0ms (1%)

Memory: 12.9MiB live, 12.9MiB allocated; 0ms collecting garbage
Remove: (sort x y)
Compiler: Compiled 32 to 32 computations (0% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze17.0ms (1.7%)

sample773.0ms (80.4%)

explain42.0ms (4.4%)

preprocess18.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series6.0ms (0.7%)

rewrite69.0ms (7.2%)

eval5.0ms (0.5%)

prune12.0ms (1.2%)

simplify9.0ms (0.9%)

derivations0.0ms (0%)

preprocess10.0ms (1%)

end0.0ms (0%)

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