Metrics for Linear.Quaternion:$clog from linear-1.19.1.3

start0.0ms (0%)

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

analyze22.0ms (1.1%)

Memory

-3.5MiB live, 43.3MiB 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
50%	50%	50%	0.1%	0%	0%	0%	3
50%	50%	50%	0.1%	0%	0%	0%	4
62.5%	62.4%	37.5%	0.1%	0%	0%	0%	5
66.7%	62.4%	31.2%	0.1%	0%	6.2%	0%	6
75%	65.6%	21.9%	0.1%	0%	12.5%	0%	7
80%	68.7%	17.2%	0.1%	0%	14%	0%	8
85.7%	70.2%	11.7%	0.1%	0%	18%	0%	9
88.9%	71.8%	9%	0.1%	0%	19.1%	0%	10
92.3%	72.6%	6%	0.1%	0%	21.3%	0%	11
94.1%	73.4%	4.6%	0.1%	0%	22%	0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample628.0ms (30.5%)

Memory

12.0MiB live, 1 039.2MiB allocated; 214ms collecting garbage

Samples

386.0ms	8 256×	0	valid
17.0ms	332×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 188.0ms

ival-mult!: 89.0ms (47.3% of total)

ival-sqrt: 76.0ms (40.4% of total)

ival-add!: 21.0ms (11.2% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess40.0ms (1.9%)

Memory

-6.4MiB live, 45.7MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	38
1	51	38
2	141	38
3	304	38
4	764	38
5	3581	38

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

series14.0ms (0.7%)

Memory

24.8MiB live, 24.8MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	735

Stop Event

1×	iter-limit

Counts

5 → 30

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 y))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 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 (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (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 x) y) y)
#s(approx (+ (* x x) y) (+.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (+ (* x x) y) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))))
#s(approx (sqrt (+ (* x x) y)) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 y (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (+.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))))))))
#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
#s(approx (sqrt (+ (* x x) y)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (+ (* x x) y) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) y))))
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
#s(approx (sqrt (+ (* x 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 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))
#s(approx (sqrt (+ (* x 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 4 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 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))))))
#s(approx (sqrt (+ (* x 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 4 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 6 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 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))))))))
#s(approx (+ (* x x) y) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) 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	x	0
1.0ms	y	-inf

rewrite70.0ms (3.4%)

Memory

20.3MiB live, 66.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	20	16
2	53	16
3	156	16
4	371	16
5	1736	16
0	4045	14

Stop Event

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

Counts

5 → 48

Calls

Call 1

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

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

eval25.0ms (1.2%)

Memory: -32.4MiB live, 14.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 136 to 270 computations (76.2% saved)

prune5.0ms (0.2%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	6	75

Accuracy

100.0%

Counts

75 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.6%	(sqrt.f64 (fma.f64 x x y))
▶	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	30.7%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
	57.5%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
▶	71.6%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 162 to 124 computations (23.5% saved)

series41.0ms (2%)

Memory

-5.9MiB live, 39.7MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	197	1011

Stop Event

1×	iter-limit

Counts

22 → 46

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	inf
3.0ms	y	-inf
2.0ms	x	0
2.0ms	y	0
1.0ms	x	inf

rewrite231.0ms (11.2%)

Memory

-9.2MiB live, 390.0MiB allocated; 164ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	36	115
1	82	115
2	258	107
3	1459	107
0	5465	104

Stop Event

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

Counts

22 → 1 227

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(.f64 (.f64 (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (fabs.f64 x))) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (fabs.f64 x))) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 (neg.f64 y) x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y x)) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (/.f64 y x) #s(literal -1/2 binary64))) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64))) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 #s(literal -1/2 binary64) y)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) x) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 y (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 y (fabs.f64 x)) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 (neg.f64 y) x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 y x) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 y) (.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 #s(literal -1/2 binary64) y) x) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64) (.f64 (neg.f64 (fabs.f64 x)) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (fabs.f64 x)) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (fabs.f64 x)) #s(literal 2 binary64) (.f64 (fabs.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (neg.f64 x)) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal -1 binary64)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) #s(literal 1 binary64)) #s(literal 2 binary64) (.f64 (.f64 x x) (.f64 #s(literal 2 binary64) x))) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) x) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) x) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)) #s(literal 2 binary64) (.f64 (.f64 (neg.f64 x) x) (.f64 x #s(literal 2 binary64)))) (.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64)))
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(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (fma.f64 (neg.f64 x) x (neg.f64 y)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) x) y))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (neg.f64 (fma.f64 x x y)))
(fabs.f64 (fma.f64 x x y))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))
#s(approx (sqrt (+ (* x x) y)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) y)
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/4 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 #s(literal 1 binary64) y))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fabs.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(pow.f64 y #s(literal -1 binary64))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) y #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) y #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) y))
(/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (neg.f64 y) #s(literal 2 binary64)) y))
(/.f64 (fma.f64 #s(literal -2 binary64) y (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 y)) y))
(/.f64 (fma.f64 #s(literal -1 binary64) y (.f64 (neg.f64 y) #s(literal 0 binary64))) (.f64 (neg.f64 y) y))
(/.f64 (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 y #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 y #s(literal 2 binary64)) y))
(/.f64 (fma.f64 #s(literal 2 binary64) y (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) y) y))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y))) #s(literal -2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 y) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) (*.f64 y #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 y))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 (neg.f64 y) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) (neg.f64 y))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 y #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (fabs.f64 (*.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 2 binary64) (*.f64 y #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y))
(/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 y)))
(/.f64 #s(literal 1 binary64) (fabs.f64 y))
(/.f64 #s(literal 1 binary64) y)
(/.f64 y (*.f64 y y))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) y))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(sqrt.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y))))
(sqrt.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal -1 binary64) y)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))))
(fabs.f64 (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(fabs.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)) (neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))))
(fabs.f64 (/.f64 #s(literal -1 binary64) y))
(fabs.f64 (/.f64 #s(literal 1 binary64) y))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))

eval159.0ms (7.7%)

Memory: 35.0MiB live, 392.6MiB allocated; 88ms collecting garbage
Compiler: Compiled 30 070 to 5 486 computations (81.8% saved)

prune44.0ms (2.1%)

Memory

-37.3MiB live, 74.7MiB allocated; 48ms collecting garbage

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	1 254	2	1 256
Fresh	0	1	1
Picked	3	2	5
Done	0	0	0
Total	1 257	5	1 262

Accuracy

100.0%

Counts

1 262 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	(sqrt.f64 (fma.f64 x x y))
✓	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	57.5%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 y #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))))
▶	71.5%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 69 to 53 computations (23.2% saved)

series27.0ms (1.3%)

Memory

23.4MiB live, 69.5MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	259	1597

Stop Event

1×	iter-limit

Counts

22 → 59

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	y	inf
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	0
2.0ms	x	inf

rewrite128.0ms (6.2%)

Memory

-4.1MiB live, 279.4MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	171
0	41	171
1	93	171
2	344	171
3	2492	165
0	4046	154

Stop Event

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

Counts

22 → 910

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(approx (sqrt (+ (* x x) y)) (.f64 #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x))
(.f64 (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)) x))
(.f64 x (.f64 #s(literal 1 binary64) #s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
(.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64)))
#s(approx (+ 1 (* 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (*.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x)))
(.f64 (.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) x)
(.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x)) #s(literal 1 binary64))
(.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) #s(literal -1 binary64)) x)
(.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x)))
(.f64 x (.f64 #s(literal 1 binary64) (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (*.f64 x x)) #s(literal -1 binary64))))
(.f64 x (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 x x)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) x (.f64 #s(literal 1/2 binary64) y)))) (.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) x (.f64 #s(literal 1/2 binary64) y)) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 x (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) x (.f64 #s(literal 1/2 binary64) y))) (.f64 x x))
(/.f64 (.f64 (fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x) x (.f64 #s(literal 1/2 binary64) y)) x) (.f64 x x))
(neg.f64 (.f64 (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64)) x))
(neg.f64 (.f64 x (-.f64 (/.f64 (fma.f64 (.f64 (.f64 y y) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1/2 binary64) y)) (.f64 (neg.f64 x) x)) #s(literal 1 binary64))))
(neg.f64 (-.f64 (neg.f64 (fma.f64 (.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64)) x (.f64 (/.f64 y x) #s(literal 1/2 binary64)))) x))
(fma.f64 (.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) #s(literal 1 binary64)) x (.f64 (/.f64 y x) #s(literal 1/2 binary64)))
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(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y)) x)
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y)) (neg.f64 x))
(/.f64 (neg.f64 (.f64 #s(literal -1 binary64) y)) (.f64 x x))
(/.f64 (neg.f64 (/.f64 (neg.f64 y) (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 y (fabs.f64 x)))) (neg.f64 (neg.f64 (fabs.f64 x))))
(/.f64 (neg.f64 (neg.f64 (/.f64 (neg.f64 y) x))) (neg.f64 x))
(/.f64 (neg.f64 (.f64 y #s(literal -1 binary64))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (neg.f64 y) #s(literal 1 binary64))) (.f64 x x))
(/.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) y) (fabs.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) x) y) (neg.f64 x))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) y) x)
(/.f64 (.f64 #s(literal -1 binary64) y) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 y) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 y (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(/.f64 (neg.f64 (/.f64 (neg.f64 y) x)) x)
(/.f64 (/.f64 y (*.f64 (neg.f64 x) x)) #s(literal -1 binary64))
(/.f64 (/.f64 y (fabs.f64 x)) (fabs.f64 x))
(/.f64 (/.f64 (neg.f64 y) x) (neg.f64 x))
(/.f64 (/.f64 y x) x)
(/.f64 (neg.f64 y) (*.f64 (neg.f64 x) x))
(/.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(/.f64 y (*.f64 x x))
(neg.f64 (/.f64 y (*.f64 (neg.f64 x) x)))
(fma.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (.f64 y #s(literal 0 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (neg.f64 y) (fabs.f64 x)) (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 y) (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (neg.f64 y) (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(fma.f64 (/.f64 y (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 y #s(literal 0 binary64)) (.f64 x x)))
(fma.f64 (/.f64 y (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 x x)))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 y #s(literal 0 binary64)) (.f64 x x)))
(fma.f64 (/.f64 (neg.f64 y) x) (/.f64 #s(literal -1 binary64) x) (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 x x)))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 y #s(literal 0 binary64)) (.f64 x x)))
(fma.f64 (/.f64 y x) (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 #s(literal 0 binary64) y) (.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) y (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)) (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)) (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(+.f64 (/.f64 y (.f64 x x)) (/.f64 (.f64 y #s(literal 0 binary64)) (*.f64 x x)))
(+.f64 (/.f64 y (.f64 x x)) (/.f64 (.f64 #s(literal 0 binary64) y) (*.f64 x x)))
(.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (.f64 x x) (*.f64 x x)))
(*.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal -2 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(fabs.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 x x) #s(literal -1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 x x)))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 x (neg.f64 (fabs.f64 x))))
(fabs.f64 (*.f64 (neg.f64 x) (fabs.f64 x)))
(fabs.f64 (*.f64 x (fabs.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (fabs.f64 x)) x))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))

eval102.0ms (4.9%)

Memory: 3.2MiB live, 281.2MiB allocated; 26ms collecting garbage
Compiler: Compiled 35 897 to 4 559 computations (87.3% saved)

prune15.0ms (0.7%)

Memory

4.3MiB live, 51.4MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	954	1	955
Fresh	0	0	0
Picked	1	2	3
Done	0	2	2
Total	955	5	960

Accuracy

100.0%

Counts

960 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	(sqrt.f64 (fma.f64 x x y))
✓	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	57.5%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
✓	71.5%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 70 to 50 computations (28.6% saved)

series31.0ms (1.5%)

Memory

16.4MiB live, 80.6MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	227	1245

Stop Event

1×	iter-limit

Counts

14 → 46

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 y y)
y
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 y x)
#s(literal 1/2 binary64)

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

Calls

6 calls:

Time	Variable	Point
9.0ms	y	inf
4.0ms	y	0
2.0ms	y	-inf
2.0ms	x	-inf
2.0ms	x	inf

rewrite139.0ms (6.7%)

Memory

-9.2MiB live, 302.4MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	100
0	27	90
1	85	80
2	434	80
3	3319	80
0	4038	75

Stop Event

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

Counts

14 → 730

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(fma.f64 (fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64)) x (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(fma.f64 (/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) #s(literal -1/8 binary64) #s(literal 1 binary64))
(/.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x)))
(*.f64 y y)
y
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x x)
x
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(/.f64 y x)
#s(literal 1/2 binary64)

Outputs
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (*.f64 x x) x))) x)))
(.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x) x (*.f64 #s(literal 1/2 binary64) y)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x) (neg.f64 x) (.f64 #s(literal -1/2 binary64) y)) (neg.f64 x))
(/.f64 (-.f64 (.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x) (neg.f64 x)) (*.f64 #s(literal 1/2 binary64) y)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x) x (.f64 #s(literal 1/2 binary64) y))) (neg.f64 x))
(/.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x) x (.f64 #s(literal 1/2 binary64) y)) x)
(neg.f64 (-.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(neg.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y x)) (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (.f64 x x) x))) x)))
(fma.f64 (.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64))) (/.f64 y (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64))) (/.f64 y (.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) y)) (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) y)) (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y (.f64 (.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y (.f64 (.f64 x x) x)))) (/.f64 #s(literal -1/8 binary64) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y (.f64 (neg.f64 x) x)))) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y (/.f64 y x))) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 (/.f64 y (.f64 x x)) y)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 (/.f64 y (.f64 x x)) y)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (/.f64 y (.f64 x x))) (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (/.f64 y (.f64 x x))) (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x #s(literal -1/8 binary64)) (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) #s(literal -1/8 binary64) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 y y)) (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x y) (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/8 binary64)) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x y) (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) #s(literal -1/8 binary64)) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (*.f64 x x) x))) x))
(fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 x (.f64 #s(literal -1/8 binary64) (.f64 y y))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (/.f64 (.f64 y y) (.f64 (fabs.f64 x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (/.f64 (.f64 y y) (.f64 (fabs.f64 x) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 x)) (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (neg.f64 x)) (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (fabs.f64 x) x)) (.f64 y (/.f64 y (fabs.f64 x))) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (fabs.f64 x) x)) (.f64 y (/.f64 y (fabs.f64 x))) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (.f64 y y) (.f64 (fabs.f64 x) x)) (/.f64 #s(literal -1/8 binary64) (fabs.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (fabs.f64 y) (.f64 (fabs.f64 x) x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (fabs.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (fabs.f64 y) (.f64 (fabs.f64 x) x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (fabs.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (neg.f64 y) (.f64 (fabs.f64 x) x)) (/.f64 (.f64 (neg.f64 y) #s(literal -1/8 binary64)) (fabs.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (neg.f64 y) (.f64 (fabs.f64 x) x)) (/.f64 (.f64 (neg.f64 y) #s(literal -1/8 binary64)) (fabs.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (fabs.f64 x) x)) (/.f64 (.f64 #s(literal -1/8 binary64) y) (fabs.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (fabs.f64 x) x)) (/.f64 (.f64 #s(literal -1/8 binary64) y) (fabs.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 y (.f64 x x)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal -1/8 binary64)) (.f64 (/.f64 y (.f64 x x)) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) y (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (*.f64 x x) x))) x))
(fma.f64 (.f64 #s(literal -1/8 binary64) y) (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) x) (+.f64 x (.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 #s(literal -1/8 binary64) y) (.f64 (/.f64 y (.f64 (.f64 (.f64 x x) x) x)) x) (-.f64 x (.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (.f64 (fabs.f64 x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (fabs.f64 x))) (/.f64 #s(literal -1/8 binary64) (.f64 (fabs.f64 x) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 (neg.f64 y) x)) (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 y) x) (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (*.f64 x x) x))) x))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 (/.f64 y (.f64 x x)) y) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) x) (.f64 (/.f64 y (.f64 x x)) y) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (.f64 x x) x))) (.f64 (/.f64 #s(literal -1/8 binary64) x) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (.f64 x x) x))) (.f64 (/.f64 #s(literal -1/8 binary64) x) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y (/.f64 (neg.f64 y) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) (.f64 y (/.f64 (neg.f64 y) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (.f64 (/.f64 #s(literal 1/8 binary64) (.f64 x x)) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1/8 binary64) (neg.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y (.f64 (neg.f64 x) x))) (/.f64 #s(literal -1/8 binary64) (neg.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 y (/.f64 y x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (.f64 y (/.f64 y x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y x)) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y x)) (.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (.f64 x x) x)) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (.f64 y (/.f64 y x)) (/.f64 #s(literal -1/8 binary64) (.f64 x x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) (.f64 x x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (neg.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (neg.f64 (fabs.f64 y)) (.f64 x x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (neg.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (fabs.f64 y) (.f64 x x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 (fabs.f64 y) (.f64 x x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 y) #s(literal -1/8 binary64)) x) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (neg.f64 x) x)) (/.f64 (.f64 (neg.f64 y) #s(literal -1/8 binary64)) x) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (neg.f64 x) x)) (/.f64 (.f64 #s(literal -1/8 binary64) y) (neg.f64 x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (/.f64 y (.f64 (neg.f64 x) x)) (/.f64 (.f64 #s(literal -1/8 binary64) y) (neg.f64 x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
(fma.f64 (fabs.f64 (/.f64 y x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (.f64 (fabs.f64 x) x)) (+.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 y x))))
(fma.f64 (fabs.f64 (/.f64 y x)) (/.f64 (.f64 (fabs.f64 y) #s(literal -1/8 binary64)) (.f64 (fabs.f64 x) x)) (-.f64 x (*.f64 #s(literal -1/2 binary64) (/.f64 y x))))
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(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/2 binary64) y))
(.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 y) (/.f64 #s(literal 1/2 binary64) (neg.f64 x)))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(*.f64 (/.f64 y x) #s(literal 1/2 binary64))
(*.f64 y (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) #s(literal 1 binary64)) x)
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) y)) x)
(/.f64 (*.f64 #s(literal -1/2 binary64) y) (neg.f64 x))
(/.f64 (*.f64 #s(literal 1/2 binary64) y) x)
(neg.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 y x)))
(*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(*.f64 (/.f64 #s(literal 1 binary64) x) y)
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 y x))
(*.f64 y (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 y) #s(literal 1 binary64)) (neg.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) y) (neg.f64 x))
(/.f64 (*.f64 y #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (neg.f64 y) (neg.f64 x))
(/.f64 y x)
(neg.f64 (/.f64 (neg.f64 y) x))
#s(literal 1/2 binary64)

eval140.0ms (6.8%)

Memory: -1.1MiB live, 246.6MiB allocated; 56ms collecting garbage
Compiler: Compiled 23 578 to 3 324 computations (85.9% saved)

prune15.0ms (0.7%)

Memory

-2.2MiB live, 45.0MiB allocated; 2ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	765	1	766
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	766	5	771

Accuracy

100.0%

Counts

771 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	66.6%	(sqrt.f64 (fma.f64 x x y))
✓	30.8%	(sqrt.f64 #s(approx (+ (* x x) y) y))
	69.8%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) (fma.f64 #s(literal -1/8 binary64) (.f64 y (/.f64 y (.f64 (*.f64 x x) x))) x)))
✓	71.5%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 66 to 48 computations (27.3% saved)

regimes66.0ms (3.2%)

Memory

-12.3MiB live, 135.2MiB allocated; 37ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

4 → 2

11 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Calls

19 calls:

25.0ms	y
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
3.0ms	y
3.0ms	x
3.0ms	(+.f64 (*.f64 x x) y)

Results

Accuracy	Segments	Branch
1.2%	1	`x`
1.2%	1	`y`
1.2%	1	`(*.f64 x x)`
1.2%	1	`(+.f64 (*.f64 x x) y)`
1.2%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
30.8%	1	`(+.f64 (*.f64 x x) y)`
30.8%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
30.8%	1	`y`
30.8%	1	`(*.f64 x x)`
30.8%	1	`x`
88.9%	2	`(*.f64 x x)`
73.9%	2	`(+.f64 (*.f64 x x) y)`
73.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
88.9%	2	`x`
100.0%	2	`(*.f64 x x)`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`x`
85.5%	2	`y`

Compiler

Compiled 231 to 125 computations (45.9% saved)

bsearch2.0ms (0.1%)

Memory

4.2MiB live, 4.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.4018300208029464e+127	1.783700580425386e+132

Samples

1.0ms

16×

valid

Compiler

Compiled 34 to 32 computations (5.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

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

ival-mult!: 0.0ms (0% of total)

bsearch8.0ms (0.4%)

Memory

21.8MiB live, 21.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	1.7356709152645136e-103	3.5495668456191915e-103

Samples

3.0ms	80×	0	valid
1.0ms	27×	0	invalid

Compiler

Compiled 149 to 130 computations (12.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (63.4% of total)

ival-mult!: 1.0ms (63.4% of total)

adjust: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

derivations50.0ms (2.4%)

Memory

-18.3MiB live, 69.0MiB allocated; 26ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 78 to 28 computations (64.1% saved)

preprocess60.0ms (2.9%)

Memory: -1.9MiB live, 94.7MiB allocated; 42ms collecting garbage
Remove: (abs x)
Compiler: Compiled 240 to 143 computations (40.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze22.0ms (1.1%)

sample628.0ms (30.5%)

preprocess40.0ms (1.9%)

series14.0ms (0.7%)

rewrite70.0ms (3.4%)

eval25.0ms (1.2%)

prune5.0ms (0.2%)

series41.0ms (2%)

rewrite231.0ms (11.2%)

eval159.0ms (7.7%)

prune44.0ms (2.1%)

series27.0ms (1.3%)

rewrite128.0ms (6.2%)

eval102.0ms (4.9%)

prune15.0ms (0.7%)

series31.0ms (1.5%)

rewrite139.0ms (6.7%)

eval140.0ms (6.8%)

prune15.0ms (0.7%)

regimes66.0ms (3.2%)

bsearch2.0ms (0.1%)

bsearch8.0ms (0.4%)

derivations50.0ms (2.4%)

preprocess60.0ms (2.9%)

end0.0ms (0%)

Profiling