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

start0.0ms (0.0%)

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

analyze22.0ms (0.5%)

Memory

-8.2MiB live, 37.5MiB allocated; 6ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	4
62.5%	62.4%	37.5%	0.1%	0.0%	0.0%	0.0%	5
66.7%	62.4%	31.2%	0.1%	0.0%	6.2%	0.0%	6
75.0%	65.6%	21.9%	0.1%	0.0%	12.5%	0.0%	7
80.0%	68.7%	17.2%	0.1%	0.0%	14.0%	0.0%	8
85.7%	70.2%	11.7%	0.1%	0.0%	18.0%	0.0%	9
88.9%	71.8%	9.0%	0.1%	0.0%	19.1%	0.0%	10
92.3%	72.6%	6.0%	0.1%	0.0%	21.3%	0.0%	11
94.1%	73.4%	4.6%	0.1%	0.0%	22.0%	0.0%	12

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample3.4s (76.6%)

Memory

-276.9MiB live, 1 116.4MiB allocated; 3.7s collecting garbage

Samples

3.1s	8 256×	0	valid
30.0ms	355×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 294.0ms

ival-sqrt: 148.0ms (50.4% of total)

ival-mult!: 119.0ms (40.5% of total)

ival-add!: 25.0ms (8.5% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

preprocess56.0ms (1.3%)

Memory

-27.3MiB live, 69.2MiB allocated; 26ms 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
▶	70.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))

Symmetry

(abs x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs

Outputs

series15.0ms (0.3%)

Memory

41.5MiB live, 41.5MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	735

Stop Event

1×	iter-limit

Counts

5 → 30

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite157.0ms (3.5%)

Memory

-1.9MiB live, 263.9MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	37	16
2	108	16
3	363	16
4	789	16
5	3237	16
0	4817	14

Stop Event

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

Counts

5 → 258

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 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (neg.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (fma.f64 x x y) #s(literal 1/8 binary64)) (pow.f64 (.f64 (fma.f64 x x y) (*.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/8 binary64)))
(.f64 (pow.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) (/.f64 #s(literal 1/4 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y)) #s(literal 1/4 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 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(*.f64 (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(pow.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/4 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (sqrt.f64 (fma.f64 x x y)))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (.f64 (neg.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y)) (.f64 (sqrt.f64 (fma.f64 x x y)) (fma.f64 x x y))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/4 binary64)))
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(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (fabs.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (fabs.f64 x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (fabs.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (fabs.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 (neg.f64 x) x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) (neg.f64 x)) (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (fabs.f64 x) x) x) (.f64 (*.f64 (fabs.f64 x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 (neg.f64 x) x) x) (.f64 (*.f64 (neg.f64 x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 x x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 1/4 binary64)) (pow.f64 (.f64 x (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (*.f64 x x) x) x)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 (fabs.f64 x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (*.f64 x x))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (neg.f64 (fabs.f64 x)))
(*.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (fabs.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (fabs.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 x) x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (fabs.f64 x))) (sqrt.f64 (.f64 (*.f64 (fabs.f64 x) x) (neg.f64 x))))
(.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (.f64 (*.f64 (fabs.f64 x) x) x)))
(.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (.f64 (*.f64 (neg.f64 x) x) x)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 (*.f64 x x) x)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (fabs.f64 x))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 x))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (fabs.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (neg.f64 x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 x #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 0 binary64)))
(.f64 (.f64 x x) (pow.f64 (*.f64 x x) #s(literal 0 binary64)))
(*.f64 x x)
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (pow.f64 (.f64 x x) #s(literal 0 binary64)) (pow.f64 (.f64 x x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)))
(/.f64 (pow.f64 (fabs.f64 x) #s(literal 1 binary64)) (pow.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 (neg.f64 x) #s(literal 1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (fabs.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) #s(literal -1 binary64)))
(/.f64 (fabs.f64 x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 (.f64 x x) (pow.f64 (.f64 x x) #s(literal 0 binary64)))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (.f64 (.f64 (*.f64 x x) x) x))
(fabs.f64 (*.f64 (fabs.f64 x) (neg.f64 x)))
(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (log.f64 (.f64 (.f64 (.f64 x x) x) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
y

eval40.0ms (0.9%)

Memory: 13.6MiB live, 108.0MiB allocated; 24ms collecting garbage
Compiler: Compiled 5 211 to 1 067 computations (79.5% saved)

prune9.0ms (0.2%)

Memory

-24.3MiB live, 21.3MiB allocated; 4ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	280	4	284
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	280	5	285

Accuracy

100.0%

Counts

285 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	70.2%	(sqrt.f64 (fma.f64 x x y))
✓	70.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
▶	33.7%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	68.8%	#s(approx (sqrt (+ (* x x) y)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 y (pow.f64 x #s(literal 2 binary64)))))))
▶	1.3%	#s(approx (sqrt (+ (* x x) y)) (*.f64 #s(literal -1 binary64) x))

Compiler

Compiled 47 to 37 computations (21.3% saved)

sample0.0ms (0.0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
-1
1
1/2
2

Outputs
#s(literal -1 binary64)
#s(literal 1 binary64)
#s(literal 1/2 binary64)
#s(literal 2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 6 to 6 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series23.0ms (0.5%)

Memory

9.3MiB live, 54.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	986

Stop Event

1×	iter-limit

Counts

18 → 43

Calls

Call 1

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

Calls

6 calls:

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

rewrite179.0ms (4.0%)

Memory

32.7MiB live, 269.0MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	29	90
1	107	90
2	404	82
3	1918	82
0	4334	79

Stop Event

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

Counts

18 → 816

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
#s(literal -1 binary64)
x
#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(*.f64 (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
(.f64 x (.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(.f64 x (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) x) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (/.f64 y x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) y)))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y)))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) y) x))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 x x)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fabs.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x)))))) (.f64 #s(literal 2 binary64) (fabs.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (/.f64 y x) #s(literal -1/2 binary64))))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 (/.f64 y x) #s(literal 1/2 binary64))))) (.f64 #s(literal 2 binary64) x))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -1/2 binary64) y)))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/2 binary64) y)))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal -1/2 binary64) y) x))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 x x)) (.f64 #s(literal 2 binary64) (neg.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x)))) (.f64 #s(literal 2 binary64) (.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) (.f64 (neg.f64 x) x)) (.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) x)))
(/.f64 (neg.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) y (.f64 x x)))) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 x x)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (neg.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) x))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 x (fma.f64 #s(literal 1/2 binary64) y (.f64 x x))) (*.f64 x x))
(/.f64 (.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 x x)) x) (*.f64 x x))
(/.f64 (fma.f64 x (.f64 x x) (.f64 (.f64 #s(literal 1/2 binary64) y) x)) (.f64 x x))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64))) (.f64 x x)) (-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) (.f64 (/.f64 y x) #s(literal -1/2 binary64)))) (+.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64)) (.f64 x (.f64 x x))) (fma.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) x))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (/.f64 y x) #s(literal -1/2 binary64)) (.f64 (/.f64 y x) #s(literal -1/2 binary64)) (.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64)))) (-.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64))))
(/.f64 (+.f64 (.f64 x (.f64 x x)) (pow.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 (.f64 (/.f64 y x) #s(literal 1/2 binary64)) (.f64 (/.f64 y x) #s(literal 1/2 binary64))) (.f64 x (.f64 (/.f64 y x) #s(literal 1/2 binary64))))))
(neg.f64 (.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x x)) #s(literal -1 binary64)) x))
(neg.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x x)) #s(literal -1 binary64))))
(neg.f64 (-.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x))
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x x))) y x)
(fma.f64 (.f64 (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) x x)
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) (fabs.f64 x))) (/.f64 y (fabs.f64 x)) x)
(fma.f64 (*.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 (neg.f64 y) x) x)
(fma.f64 (*.f64 x (/.f64 #s(literal 1/2 binary64) x)) (/.f64 y x) x)
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) x) (neg.f64 y)) (/.f64 #s(literal -1 binary64) (*.f64 x x)) x)
(fma.f64 (.f64 x y) (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x)
(fma.f64 (/.f64 (neg.f64 x) (fabs.f64 x)) (/.f64 (*.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)) x)
(fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) y) (fabs.f64 x)) (/.f64 (neg.f64 x) (fabs.f64 x)) x)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x x))) x)
(fma.f64 (copysign.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) x)
(fma.f64 (/.f64 (neg.f64 x) x) (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) x)
(fma.f64 (/.f64 x #s(literal 1 binary64)) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 x (.f64 x x)) (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) x)
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64)) (/.f64 x (.f64 x x)) x)
(fma.f64 (/.f64 x (.f64 (neg.f64 x) x)) (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) x)
(fma.f64 (/.f64 (.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64)) (/.f64 x (.f64 (neg.f64 x) x)) x)
(fma.f64 (/.f64 x x) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) x) (/.f64 y (.f64 x x)) x)
(fma.f64 (.f64 (.f64 #s(literal 1/2 binary64) y) x) (/.f64 #s(literal 1 binary64) (*.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y (fabs.f64 x))) (copysign.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) (*.f64 (/.f64 y (fabs.f64 x)) x) x)
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (/.f64 (neg.f64 y) x) x) x)
(fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (*.f64 (/.f64 y x) x) x)
(fma.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 y #s(literal 1 binary64)) x)
(fma.f64 (.f64 #s(literal 1/2 binary64) y) (/.f64 x (.f64 x x)) x)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1 binary64) x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (/.f64 x x) x)
(fma.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) #s(literal 1 binary64) x)
(fma.f64 (.f64 #s(literal -1/2 binary64) (/.f64 y (.f64 x x))) (/.f64 x #s(literal -1 binary64)) x)
(fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 (*.f64 #s(literal 1/2 binary64) y) x) x)
(fma.f64 (neg.f64 y) (.f64 (/.f64 #s(literal -1 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) (/.f64 x #s(literal 1 binary64)) x)
(fma.f64 (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x x)
(fma.f64 (/.f64 y (.f64 x x)) (.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 #s(literal 1/2 binary64) (/.f64 y x) x)
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(fma.f64 y (.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x x)) x) x)
(fma.f64 y (.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 #s(literal 1/2 binary64) x)) x)
(fma.f64 y (/.f64 #s(literal 1/2 binary64) x) x)
(fma.f64 x (.f64 #s(literal 1 binary64) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64))) x)
(fma.f64 x (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)) x)
(-.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) (neg.f64 x))
(-.f64 x (*.f64 (/.f64 y x) #s(literal -1/2 binary64)))
(+.f64 (*.f64 (/.f64 y x) #s(literal 1/2 binary64)) x)
(+.f64 x (*.f64 (/.f64 y x) #s(literal 1/2 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64)))) (.f64 (/.f64 y (*.f64 x x)) #s(literal 1/2 binary64)))
(.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(.f64 (fma.f64 (/.f64 y (.f64 x x)) #s(literal 1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) y) #s(literal 2 binary64)) (.f64 (fabs.f64 x) #s(literal -2 binary64))) (.f64 (fabs.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) y) #s(literal -2 binary64)) (.f64 (fabs.f64 x) #s(literal 2 binary64))) (.f64 (fabs.f64 x) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) y) #s(literal -1 binary64)) (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) (fabs.f64 x)) y) #s(literal 1 binary64)) (*.f64 (fabs.f64 x) #s(literal -1 binary64))) (fabs.f64 x))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal -1/2 binary64) x) y) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal -2 binary64))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
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(fabs.f64 (*.f64 (fabs.f64 x) x))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (neg.f64 (fabs.f64 x))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (fabs.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (neg.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 0 binary64)))
(+.f64 (.f64 x x) (.f64 #s(literal 0 binary64) (*.f64 x x)))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))
(.f64 (pow.f64 #s(approx (+ ( x x) y) y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 #s(approx (+ (* x x) y) y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(pow.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y)) #s(literal 1/4 binary64))
(pow.f64 #s(approx (+ (* x x) y) y) #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal -1/2 binary64)))
(sqrt.f64 #s(approx (+ (* x x) y) y))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))))
(fabs.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))
(fabs.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( x x) y) y)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 #s(approx (+ ( x x) y) y) #s(literal 0 binary64)) #s(approx (+ (* x x) y) y))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal 1 binary64)))
(.f64 (pow.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) #s(literal 1 binary64)) (sqrt.f64 #s(approx (+ (* x x) y) y)))
(.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))
(.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) (sqrt.f64 #s(approx (+ (* x x) y) y)))
(.f64 #s(approx (+ ( x x) y) y) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal 0 binary64)))
(.f64 #s(approx (+ ( x x) y) y) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 0 binary64)))
(pow.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal 2 binary64))
(pow.f64 #s(approx (+ (* x x) y) y) #s(literal 1 binary64))
#s(approx (+ (* x x) y) y)
(/.f64 (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 0 binary64)) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal -1/2 binary64)))
(/.f64 #s(approx (+ (* x x) y) y) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (+ (* x x) y) y) #s(literal -1 binary64)))
(sqrt.f64 (.f64 #s(approx (+ ( x x) y) y) #s(approx (+ (* x x) y) y)))
(fabs.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(fabs.f64 (neg.f64 (.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))))
(fabs.f64 (neg.f64 #s(approx (+ (* x x) y) y)))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)))) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(fabs.f64 (.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)))) (sqrt.f64 #s(approx (+ (* x x) y) y))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))))
(fabs.f64 (.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y))))))
(fabs.f64 (.f64 (neg.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) (sqrt.f64 #s(approx (+ (* x x) y) y))))
(fabs.f64 (.f64 (sqrt.f64 #s(approx (+ ( x x) y) y)) (neg.f64 (sqrt.f64 #s(approx (+ (* x x) y) y)))))
(fabs.f64 #s(approx (+ (* x x) y) y))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (+ (* x x) y) y) #s(approx (+ (* x x) y) y))) #s(literal 1/2 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 #s(approx (+ ( x x) y) y))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (+ ( x x) y) y)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (sqrt.f64 (fma.f64 x x y))))
(*.f64 (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) (/.f64 #s(literal 1/2 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 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1/2 binary64)))
(sqrt.f64 (fma.f64 x x y))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (neg.f64 (neg.f64 (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 (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)) (fma.f64 x x y))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1 binary64)) (sqrt.f64 (fma.f64 x x y)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (.f64 (neg.f64 x) x) y)) y)
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) y)) y)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (.f64 (neg.f64 x) x))) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (sqrt.f64 (fma.f64 x x y))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (.f64 x x))) (*.f64 x x))
(*.f64 (sqrt.f64 (fma.f64 x x y)) (sqrt.f64 (fma.f64 x x y)))
(*.f64 (fma.f64 x x y) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 0 binary64)))
(*.f64 (fma.f64 x x y) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x y) #s(literal 1 binary64))
(/.f64 (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(/.f64 (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) x) #s(literal 3 binary64))) (fma.f64 y y (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 (neg.f64 x) x)))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) (+.f64 y (*.f64 (neg.f64 x) x)))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x x) (.f64 x x))) (-.f64 y (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (neg.f64 y) (neg.f64 y))) (+.f64 (*.f64 x x) (neg.f64 y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 (neg.f64 y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (fma.f64 (neg.f64 y) (neg.f64 y) (.f64 (*.f64 x x) (neg.f64 y)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 y y)) (-.f64 (*.f64 x x) y))
(/.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (.f64 x x) (.f64 x x) (-.f64 (.f64 y y) (.f64 (.f64 x x) y))))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 (fma.f64 x x y)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x x y)) (pow.f64 (fma.f64 x x y) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 x x y) (pow.f64 (fma.f64 x x y) #s(literal 0 binary64)))
(neg.f64 (fma.f64 (neg.f64 x) x (neg.f64 y)))
(neg.f64 (-.f64 (*.f64 (neg.f64 x) x) y))
(neg.f64 (neg.f64 (fma.f64 x x y)))
(fma.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64))) y)
(fma.f64 (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64))) y)
(fma.f64 (neg.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64))) (neg.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64))) y)
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x)))) y)
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))) (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x)))) y)
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x))) (neg.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x))) y)
(fma.f64 (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) (neg.f64 (neg.f64 (neg.f64 (fabs.f64 x)))) y)
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) y)
(fma.f64 (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) (.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) y)
(fma.f64 (.f64 (fabs.f64 x) #s(literal -1 binary64)) (.f64 (fabs.f64 x) #s(literal -1 binary64)) y)
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) y)
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fabs.f64 x))) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (fabs.f64 x))) (fabs.f64 x) y)
(fma.f64 (.f64 #s(literal -1 binary64) (fabs.f64 x)) (.f64 #s(literal -1 binary64) (fabs.f64 x)) y)
(fma.f64 (*.f64 #s(literal -1 binary64) (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (neg.f64 (neg.f64 (fabs.f64 x))) y)
(fma.f64 (neg.f64 (neg.f64 (fabs.f64 x))) (fabs.f64 x) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal 1 binary64)) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (*.f64 (fabs.f64 x) #s(literal -1 binary64)) y)
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) y)
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) y)
(fma.f64 (fabs.f64 x) (*.f64 (neg.f64 (fabs.f64 x)) #s(literal -1 binary64)) y)
(fma.f64 (fabs.f64 x) (neg.f64 (neg.f64 (fabs.f64 x))) y)
(fma.f64 (fabs.f64 x) (fabs.f64 x) y)
(fma.f64 (neg.f64 x) (neg.f64 x) y)
(fma.f64 (*.f64 x x) #s(literal 1 binary64) y)
(fma.f64 #s(literal 1 binary64) (*.f64 x x) y)
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) y)
(fma.f64 x x y)
(-.f64 (*.f64 x x) (neg.f64 y))
(-.f64 y (*.f64 (neg.f64 x) x))
(sqrt.f64 (*.f64 (fma.f64 x x y) (fma.f64 x x y)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (*.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y)))) (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))))))
(fabs.f64 (fma.f64 (neg.f64 x) x (neg.f64 y)))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) x) y))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x y))) (sqrt.f64 (fma.f64 x x y))))
(fabs.f64 (*.f64 (sqrt.f64 (fma.f64 x x y)) (neg.f64 (sqrt.f64 (fma.f64 x x y)))))
(fabs.f64 (neg.f64 (fma.f64 x x y)))
(fabs.f64 (fma.f64 x x y))
(exp.f64 (.f64 (log.f64 (.f64 (fma.f64 x x y) (fma.f64 x x y))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(+.f64 (*.f64 x x) y)
(+.f64 y (*.f64 x x))

eval114.0ms (2.6%)

Memory: -18.8MiB live, 261.2MiB allocated; 46ms collecting garbage
Compiler: Compiled 18 747 to 3 861 computations (79.4% saved)

prune18.0ms (0.4%)

Memory

1.9MiB live, 47.4MiB allocated; 4ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	843	3	846
Fresh	0	0	0
Picked	2	2	4
Done	0	1	1
Total	845	6	851

Accuracy

100.0%

Counts

851 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(sqrt.f64 (fma.f64 x x y))
✓	70.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 #s(approx (+ (* x x) y) y))
▶	69.1%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
▶	68.8%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
▶	1.3%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 61 to 47 computations (23.0% saved)

sample0.0ms (0.0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2

Outputs
#s(literal 1 binary64)
#s(literal 1/2 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series18.0ms (0.4%)

Memory

-4.2MiB live, 41.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	179	913

Stop Event

1×	iter-limit

Counts

12 → 38

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite147.0ms (3.3%)

Memory

-4.4MiB live, 255.7MiB allocated; 42ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	81
0	25	81
1	118	81
2	390	78
3	1507	78
0	4137	75

Stop Event

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

Counts

12 → 90

Calls

Call 1

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

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

eval14.0ms (0.3%)

Memory: -9.7MiB live, 36.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 618 to 472 computations (82.0% saved)

prune4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	118	6	124

Accuracy

100.0%

Counts

124 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	70.2%	(sqrt.f64 (fma.f64 x x y))
✓	70.2%	(sqrt.f64 (+.f64 (*.f64 x x) y))
✓	33.7%	(sqrt.f64 #s(approx (+ (* x x) y) y))
✓	69.1%	#s(approx (sqrt (+ (* x x) y)) (fma.f64 (/.f64 y x) #s(literal 1/2 binary64) x))
✓	68.8%	#s(approx (sqrt (+ (* x x) y)) (.f64 x #s(approx (+ 1 ( 1/2 (/ y (pow x 2)))) #s(literal 1 binary64))))
✓	1.3%	#s(approx (sqrt (+ (* x x) y)) (neg.f64 x))

Compiler

Compiled 61 to 47 computations (23.0% saved)

regimes86.0ms (1.9%)

Memory

25.2MiB live, 215.3MiB allocated; 18ms collecting garbage

Counts

1 → 1

3 → 1

4 → 2

5 → 2

6 → 2

8 → 2

Calls

Call 1

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

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

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

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

Call 6

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

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

Calls

27 calls:

17.0ms	x
5.0ms	(sqrt.f64 (+.f64 (*.f64 x x) y))
5.0ms	(*.f64 x x)
4.0ms	y
3.0ms	y

Results

Accuracy	Segments	Branch
1.3%	1	`x`
1.3%	1	`y`
1.3%	1	`(*.f64 x x)`
1.3%	1	`(+.f64 (*.f64 x x) y)`
1.3%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
33.7%	1	`(+.f64 (*.f64 x x) y)`
33.7%	1	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
33.7%	1	`y`
33.7%	1	`(*.f64 x x)`
33.7%	1	`x`
91.2%	2	`(*.f64 x x)`
79.9%	2	`(+.f64 (*.f64 x x) y)`
79.9%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
91.2%	2	`x`
100.0%	2	`(*.f64 x x)`
100.0%	2	`(+.f64 (*.f64 x x) y)`
100.0%	2	`(sqrt.f64 (+.f64 (*.f64 x x) y))`
100.0%	2	`x`
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`
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`
83.5%	2	`y`

Compiler

Compiled 182 to 129 computations (29.1% saved)

bsearch5.0ms (0.1%)

Memory

-35.6MiB live, 10.4MiB allocated; 2ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
5.0ms	3.6580242829977175e+129	4.0703357709002324e+129

Samples

3.0ms

32×

valid

Compiler

Compiled 47 to 42 computations (10.6% saved)

Precisions

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

ival-sqrt: 2.0ms (87.2% of total)

adjust: 0.0ms (0.0% of total)

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

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

bsearch2.0ms (0.0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
1.0ms	3.6580242829977175e+129	4.0703357709002324e+129

Samples

1.0ms

16×

valid

Compiler

Compiled 61 to 56 computations (8.2% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

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

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

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

bsearch0.0ms (0.0%)

Memory

1.7MiB live, 1.7MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
0.0ms	3.6580242829977175e+129	4.0703357709002324e+129

Compiler

Compiled 59 to 54 computations (8.5% saved)

bsearch6.0ms (0.1%)

Memory

19.3MiB live, 19.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.2536906274622269e-44	2.837567589610313e-44

Samples

3.0ms

80×

valid

Compiler

Compiled 149 to 130 computations (12.8% saved)

Precisions

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

ival-sqrt: 1.0ms (77.6% of total)

ival-mult!: 1.0ms (77.6% of total)

adjust: 0.0ms (0.0% of total)

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

derivations57.0ms (1.3%)

Memory

-33.1MiB live, 64.4MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 131 to 39 computations (70.2% saved)

preprocess71.0ms (1.6%)

Memory: 20.4MiB live, 113.8MiB allocated; 5ms collecting garbage
Compiler: Compiled 427 to 234 computations (45.2% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze22.0ms (0.5%)

sample3.4s (76.6%)

preprocess56.0ms (1.3%)

sample0.0ms (0.0%)

series15.0ms (0.3%)

rewrite157.0ms (3.5%)

eval40.0ms (0.9%)

prune9.0ms (0.2%)

sample0.0ms (0.0%)

series23.0ms (0.5%)

rewrite179.0ms (4.0%)

eval114.0ms (2.6%)

prune18.0ms (0.4%)

sample0.0ms (0.0%)

series18.0ms (0.4%)

rewrite147.0ms (3.3%)

eval14.0ms (0.3%)

prune4.0ms (0.1%)

regimes86.0ms (1.9%)

bsearch5.0ms (0.1%)

bsearch2.0ms (0.0%)

bsearch0.0ms (0.0%)

bsearch6.0ms (0.1%)

derivations57.0ms (1.3%)

preprocess71.0ms (1.6%)

end0.0ms (0.0%)

Profiling