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

start0.0ms (0%)

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

analyze62.0ms (2.7%)

Memory

-33.3MiB live, 28.1MiB allocated; 46ms 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)

sample1.0s (43.9%)

Memory

-2.2MiB live, 905.4MiB allocated; 203ms collecting garbage

Samples

650.0ms	8 256×	0	valid
42.0ms	324×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 273.0ms

ival-sqrt: 161.0ms (59% of total)

ival-mult!: 82.0ms (30.1% of total)

ival-add!: 28.0ms (10.3% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess74.0ms (3.2%)

Memory

-17.7MiB live, 35.8MiB allocated; 10ms 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
▶	67.0%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 10 to 10 computations (0% saved)

series12.0ms (0.5%)

Memory

19.7MiB live, 19.7MiB 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	Expression
1.0ms	x	@	inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	x	@	-inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	y	@	inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	y	@	-inf	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)
1.0ms	x	@	0	((sqrt (+ (* x x) y)) (+ (* x x) y) (* x x) x y)

rewrite65.0ms (2.8%)

Memory

25.1MiB live, 66.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	37	16
0	320	14

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

5 → 71

Calls

Call 1

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

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

eval45.0ms (1.9%)

Memory: -6.7MiB live, 35.1MiB allocated; 17ms collecting garbage
Compiler: Compiled 887 to 360 computations (59.4% saved)

prune7.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	92	5	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	92	6	98

Accuracy

99.9%

Counts

98 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	80.3%	(.f64 (sqrt.f64 (+.f64 (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
▶	67.0%	(sqrt.f64 (fma.f64 x x y))
✓	67.0%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	38.4%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	38.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
▶	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 79 to 79 computations (0% saved)

series57.0ms (2.5%)

Memory

-12.9MiB live, 33.8MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	330	2225

Stop Event

1×	iter-limit

Counts

20 → 73

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 1 binary64)
(fabs.f64 x)
(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 (+ (/ y (* x x)) 1)) (fabs x)) (/.f64 (*.f64 (fabs.f64 x) (sqrt.f64 y)) x))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (sqrt.f64 y)) (.f64 (fabs.f64 x) (sqrt.f64 y))) x))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (/.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 y)))))) x))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (/.f64 (fma.f64 (fabs.f64 x) (sqrt.f64 y) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (sqrt.f64 y)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (pow.f64 (sqrt.f64 y) #s(literal 3 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 (sqrt.f64 y) #s(literal 5 binary64))))))))) x))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (/.f64 (sqrt.f64 y) x))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (/.f64 (+.f64 (sqrt.f64 y) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 y)))) x))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (/.f64 (+.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)))))) x))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (/.f64 (+.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)))))) x))
#s(approx (+ (/ y (* x x)) 1) (/.f64 y (pow.f64 x #s(literal 2 binary64))))
#s(approx (+ (/ y (* x x)) 1) (/.f64 (+.f64 y (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (fabs x) (fabs.f64 x))
#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 (* -1 x) (*.f64 #s(literal -1 binary64) x))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (+.f64 (fabs.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (+.f64 (fabs.f64 x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 y (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (+.f64 (fabs.f64 x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 2 binary64)) (fabs.f64 x)) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (.f64 y (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (+.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 (+ (/ y (* x x)) 1)) (+.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 (* x x)) 1) (+.f64 #s(literal 1 binary64) (/.f64 y (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 (+ (* 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 (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (+.f64 (fabs.f64 x) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (.f64 y (fabs.f64 x)) (pow.f64 x #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (+.f64 (fabs.f64 x) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 2 binary64))) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 1/16 binary64) (/.f64 (.f64 y (fabs.f64 x)) (pow.f64 x #s(literal 6 binary64))))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (+.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 (sqrt (+ (/ y (* x x)) 1)) (+.f64 #s(literal 1 binary64) (.f64 y (fma.f64 y (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 y (pow.f64 x #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (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 (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 (/ 1 y)) (/.f64 (sqrt.f64 y) y))
#s(approx (/ 1 y) (/.f64 #s(literal 1 binary64) y))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 y (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 y (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 y (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))))))))
#s(approx (+ (/ y (* x x)) 1) (*.f64 y (+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (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 (/ 1 y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 #s(literal -1 binary64) (.f64 y (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))))))
#s(approx (* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (.f64 #s(literal -1 binary64) (.f64 y (fma.f64 #s(literal -1/8 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 5 binary64)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fabs.f64 x) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 (fabs.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 #s(literal -1 binary64) (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 #s(literal -1 binary64) (.f64 y (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y)))))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 binary64))))))))
#s(approx (sqrt (+ (/ y (* x x)) 1)) (.f64 #s(literal -1 binary64) (.f64 y (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 y #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 5 binary64))))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) y))) #s(literal 3 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 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	Expression
19.0ms	y	@	0	((* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (sqrt (+ (/ y (* x x)) 1)) (+ (/ y (* x x)) 1) (/ y (* x x)) y (* x x) x 1 (fabs x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* y (sqrt (/ 1 y))) (sqrt (/ 1 y)) (/ 1 y))
7.0ms	y	@	inf	((* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (sqrt (+ (/ y (* x x)) 1)) (+ (/ y (* x x)) 1) (/ y (* x x)) y (* x x) x 1 (fabs x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* y (sqrt (/ 1 y))) (sqrt (/ 1 y)) (/ 1 y))
5.0ms	y	@	-inf	((* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (sqrt (+ (/ y (* x x)) 1)) (+ (/ y (* x x)) 1) (/ y (* x x)) y (* x x) x 1 (fabs x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* y (sqrt (/ 1 y))) (sqrt (/ 1 y)) (/ 1 y))
4.0ms	x	@	0	((* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (sqrt (+ (/ y (* x x)) 1)) (+ (/ y (* x x)) 1) (/ y (* x x)) y (* x x) x 1 (fabs x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* y (sqrt (/ 1 y))) (sqrt (/ 1 y)) (/ 1 y))
3.0ms	x	@	inf	((* (sqrt (+ (/ y (* x x)) 1)) (fabs x)) (sqrt (+ (/ y (* x x)) 1)) (+ (/ y (* x x)) 1) (/ y (* x x)) y (* x x) x 1 (fabs x) (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* -1 x) -1 (sqrt (+ (* x x) y)) (+ (* x x) y) (sqrt (+ (* x x) y)) (* y (sqrt (/ 1 y))) (sqrt (/ 1 y)) (/ 1 y))

rewrite236.0ms (10.2%)

Memory

5.1MiB live, 296.1MiB allocated; 66ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	99
0	36	101
1	111	85
2	813	82
0	10104	81

Stop Event

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

Counts

20 → 909

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (+.f64 (/.f64 y (.f64 x x)) #s(literal 1 binary64))) (fabs.f64 x))
(sqrt.f64 (+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (/.f64 y (*.f64 x x)) #s(literal 1 binary64))
(/.f64 y (*.f64 x x))
y
(*.f64 x x)
x
#s(literal 1 binary64)
(fabs.f64 x)
(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
(*.f64 (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))))
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x)) (sqrt.f64 x))
(.f64 (pow.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) x) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y))))))
(.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x))))
(.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (pow.f64 (.f64 (/.f64 y (.f64 x x)) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 y))
(*.f64 (fma.f64 x x y) (sqrt.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x y))))
(*.f64 (fma.f64 x x y) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x) x)
(*.f64 x (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(pow.f64 (exp.f64 (log.f64 (fma.f64 x x y))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/4 binary64)) #s(literal 2 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))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (neg.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) (.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x))) (sqrt.f64 (fma.f64 x x y)))
(/.f64 (sqrt.f64 (neg.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)))) (sqrt.f64 (fma.f64 x x y)))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y)))) (sqrt.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y))))))
(/.f64 (sqrt.f64 (-.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 y y (.f64 (.f64 x x) (neg.f64 y))))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 y y (-.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (*.f64 x x) y)))))
(/.f64 (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (.f64 y y) y))) (sqrt.f64 (fma.f64 (.f64 (.f64 x x) x) x (*.f64 y (fma.f64 x x y)))))
(/.f64 (fma.f64 x x y) (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(/.f64 (fma.f64 x x y) (sqrt.f64 (fma.f64 x x y)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 y (fma.f64 x x y))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) (.f64 (*.f64 y y) y)))))
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)) x))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (sqrt.f64 (fma.f64 x x y)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64))))
(.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64))))
(.f64 (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64))))
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)) (sqrt.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(.f64 (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1 binary64))) #s(literal 1 binary64))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x)))))
(.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x))) #s(literal 1/2 binary64)))
(*.f64 (/.f64 (sqrt.f64 y) x) (sqrt.f64 (/.f64 (fma.f64 x x y) y)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (/.f64 (sqrt.f64 y) x))
(.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (/.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (sqrt.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x)))) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 x x y) y) (/.f64 y x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 x x y) y) (neg.f64 y))) x)
(/.f64 (sqrt.f64 (+.f64 x (/.f64 y x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 y y) (.f64 (.f64 (.f64 x x) x) x)))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (.f64 x x)) #s(literal -1 binary64)))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x)))))
(/.f64 (sqrt.f64 (expm1.f64 (.f64 (log.f64 (/.f64 y (.f64 x x))) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y y) (*.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64))) (sqrt.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (*.f64 x x))))
(/.f64 (sqrt.f64 (/.f64 (fma.f64 x x y) y)) (sqrt.f64 (/.f64 (*.f64 x x) y)))
(/.f64 (sqrt.f64 (fma.f64 x x y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))) (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (fma.f64 (/.f64 y (.f64 x x)) (/.f64 y (*.f64 x x)) #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (/.f64 (fma.f64 (/.f64 y (.f64 x x)) y (fma.f64 x x y)) (.f64 x x)) (-.f64 (pow.f64 (/.f64 y (*.f64 x x)) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(sqrt.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x x))))
(fabs.f64 (neg.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))))
(fabs.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x)))
(fabs.f64 (/.f64 (sqrt.f64 (fma.f64 x x y)) x))
(exp.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64))) (sinh.f64 (.f64 (log.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x)))) #s(literal 1/2 binary64))))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (.f64 (/.f64 #s(literal 1 binary64) y) x)) (/.f64 #s(literal -1 binary64) x))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (/.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (/.f64 (fma.f64 x x y) y) (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (.f64 x x)))
(.f64 (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (.f64 x x) y) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (.f64 (/.f64 (.f64 x x) y) (/.f64 (fma.f64 x x y) y)))) (/.f64 (pow.f64 (/.f64 y (.f64 x x)) #s(literal 3 binary64)) (/.f64 (.f64 y y) (.f64 (.f64 (*.f64 x x) x) x))))
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(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (/.f64 #s(literal 0 binary64) y))
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 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 #s(literal -1 binary64) y) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 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 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) y)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 y))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 y)))))
(fabs.f64 (/.f64 #s(literal 1 binary64) y))
(exp.f64 (fma.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64))))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 y)) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log.f64 y)))
(+.f64 (cosh.f64 (neg.f64 (log.f64 y))) (sinh.f64 (neg.f64 (log.f64 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 y))))
(+.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 0 binary64) y))

eval147.0ms (6.4%)

Memory: -10.7MiB live, 214.9MiB allocated; 61ms collecting garbage
Compiler: Compiled 11 837 to 3 291 computations (72.2% saved)

prune14.0ms (0.6%)

Memory

38.0MiB live, 38.0MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	922	3	925
Fresh	0	0	0
Picked	2	3	5
Done	0	1	1
Total	924	7	931

Accuracy

100.0%

Counts

931 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	83.7%	(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 y x) x) x)) (fabs.f64 x))
✓	67.0%	(sqrt.f64 (fma.f64 x x y))
✓	67.0%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	38.4%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	38.1%	#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
▶	64.0%	#s(approx (sqrt (+ (* x x) y)) x)

Compiler

Compiled 45 to 45 computations (0% saved)

series24.0ms (1%)

Memory

4.8MiB live, 50.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	342	2266

Stop Event

1×	iter-limit

Counts

12 → 75

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((sqrt (+ (* x x) y)) x (sqrt (+ (* x x) y)) (/ y (sqrt y)) y (sqrt y) (* (sqrt (/ (+ (/ y x) x) x)) (fabs x)) (sqrt (/ (+ (/ y x) x) x)) (/ (+ (/ y x) x) x) (+ (/ y x) x) (/ y x) (fabs x))
2.0ms	y	@	-inf	((sqrt (+ (* x x) y)) x (sqrt (+ (* x x) y)) (/ y (sqrt y)) y (sqrt y) (* (sqrt (/ (+ (/ y x) x) x)) (fabs x)) (sqrt (/ (+ (/ y x) x) x)) (/ (+ (/ y x) x) x) (+ (/ y x) x) (/ y x) (fabs x))
2.0ms	y	@	inf	((sqrt (+ (* x x) y)) x (sqrt (+ (* x x) y)) (/ y (sqrt y)) y (sqrt y) (* (sqrt (/ (+ (/ y x) x) x)) (fabs x)) (sqrt (/ (+ (/ y x) x) x)) (/ (+ (/ y x) x) x) (+ (/ y x) x) (/ y x) (fabs x))
1.0ms	x	@	-inf	((sqrt (+ (* x x) y)) x (sqrt (+ (* x x) y)) (/ y (sqrt y)) y (sqrt y) (* (sqrt (/ (+ (/ y x) x) x)) (fabs x)) (sqrt (/ (+ (/ y x) x) x)) (/ (+ (/ y x) x) x) (+ (/ y x) x) (/ y x) (fabs x))
1.0ms	y	@	0	((sqrt (+ (* x x) y)) x (sqrt (+ (* x x) y)) (/ y (sqrt y)) y (sqrt y) (* (sqrt (/ (+ (/ y x) x) x)) (fabs x)) (sqrt (/ (+ (/ y x) x) x)) (/ (+ (/ y x) x) x) (+ (/ y x) x) (/ y x) (fabs x))

rewrite62.0ms (2.7%)

Memory

0.9MiB live, 97.8MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	63
0	23	63
1	96	58
0	834	55

Stop Event

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

Counts

12 → 156

Calls

Call 1

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

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

eval33.0ms (1.4%)

Memory: -30.0MiB live, 61.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 394 to 963 computations (59.8% saved)

prune8.0ms (0.3%)

Memory

17.1MiB live, 17.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	3	3
Done	0	4	4
Total	221	7	228

Accuracy

100.0%

Counts

228 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	83.7%	(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 y x) x) x)) (fabs.f64 x))
✓	67.0%	(sqrt.f64 (fma.f64 x x y))
✓	67.0%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	38.4%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	38.1%	#s(approx (sqrt (+ (* x x) y)) (/.f64 y (sqrt.f64 y)))
✓	1.2%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))
✓	64.0%	#s(approx (sqrt (+ (* x x) y)) x)

Compiler

Compiled 91 to 79 computations (13.2% saved)

regimes63.0ms (2.7%)

Memory

-11.8MiB live, 41.8MiB allocated; 69ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 (*.f64 x x) y))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (/.f64 y x) x) x)) (fabs.f64 x))

Calls

5 calls:

49.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
4.0ms	x
3.0ms	y
3.0ms	(+.f64 (*.f64 x x) y)
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
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`
90.6%	2	`y`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes20.0ms (0.8%)

Memory

-18.4MiB live, 28.2MiB allocated; 12ms collecting garbage

Counts

8 → 2

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	(*.f64 x x)
3.0ms	x
3.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
3.0ms	(+.f64 (*.f64 x x) y)

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 x x)`
99.9%	2	`(+.f64 (*.f64 x x) y)`
99.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
99.9%	2	`x`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes9.0ms (0.4%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.9%	2	`(*.f64 x x)`
99.9%	2	`(+.f64 (*.f64 x x) y)`
99.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
99.9%	2	`x`

Compiler

Compiled 12 to 14 computations (-16.7% saved)

regimes18.0ms (0.8%)

Memory

-21.4MiB live, 24.3MiB allocated; 10ms collecting garbage

Counts

4 → 2

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	y
2.0ms	x
2.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
2.0ms	(+.f64 (*.f64 x x) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
76.4%	2	`y`
89.0%	2	`(*.f64 x x)`
76.3%	4	`(+.f64 (*.f64 x x) y)`
76.3%	4	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
89.0%	2	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

regimes6.0ms (0.3%)

Memory

16.2MiB live, 16.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* x x) y)) x)

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
64.0%	1	`(+.f64 (*.f64 x x) y)`
64.0%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
64.0%	1	`y`
64.0%	1	`(*.f64 x x)`
64.0%	1	`x`

Compiler

Compiled 13 to 16 computations (-23.1% saved)

bsearch3.0ms (0.1%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
2.0ms	6.525353806411844e+148	5.104804291038434e+150

Samples

1.0ms

32×

valid

Compiler

Compiled 35 to 40 computations (-14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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)

bsearch2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	6.525353806411844e+148	5.104804291038434e+150

Samples

1.0ms

16×

valid

Compiler

Compiled 42 to 49 computations (-16.7% 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)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	6.525353806411844e+148	5.104804291038434e+150

Compiler

Compiled 39 to 46 computations (-17.9% saved)

bsearch8.0ms (0.3%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	287704542417909.3	636738999582244.5

Samples

3.0ms	80×	0	valid
1.0ms	14×	0	invalid

Compiler

Compiled 69 to 80 computations (-15.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-sqrt: 1.0ms (66.9% of total)

ival-mult!: 1.0ms (66.9% of total)

adjust: 0.0ms (0% of total)

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

derivations199.0ms (8.6%)

Memory

-26.3MiB live, 111.8MiB allocated; 49ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 33 to 29 computations (12.1% saved)

preprocess120.0ms (5.2%)

Memory: 26.9MiB live, 119.0MiB allocated; 12ms collecting garbage
Compiler: Compiled 150 to 142 computations (5.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze62.0ms (2.7%)

sample1.0s (43.9%)

preprocess74.0ms (3.2%)

series12.0ms (0.5%)

rewrite65.0ms (2.8%)

eval45.0ms (1.9%)

prune7.0ms (0.3%)

series57.0ms (2.5%)

rewrite236.0ms (10.2%)

eval147.0ms (6.4%)

prune14.0ms (0.6%)

series24.0ms (1%)

rewrite62.0ms (2.7%)

eval33.0ms (1.4%)

prune8.0ms (0.3%)

regimes63.0ms (2.7%)

regimes20.0ms (0.8%)

regimes9.0ms (0.4%)

regimes18.0ms (0.8%)

regimes6.0ms (0.3%)

bsearch3.0ms (0.1%)

bsearch2.0ms (0.1%)

bsearch0.0ms (0%)

bsearch8.0ms (0.3%)

derivations199.0ms (8.6%)

preprocess120.0ms (5.2%)

end0.0ms (0%)

Profiling