Metrics for sqrt times

start0.0ms (0%)

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

analyze1.0ms (0.1%)

Memory

1.8MiB live, 1.8MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	50%	0%	0%	50%	0%	2
50%	25%	25%	0%	0%	50%	0%	3
66.7%	25%	12.5%	0%	0%	62.5%	0%	4
80%	25%	6.2%	0%	0%	68.7%	0%	5
88.9%	25%	3.1%	0%	0%	71.8%	0%	6
94.1%	25%	1.6%	0%	0%	73.4%	0%	7
97%	25%	0.8%	0%	0%	74.2%	0%	8
98.5%	25%	0.4%	0%	0%	74.6%	0%	9
99.2%	25%	0.2%	0%	0%	74.8%	0%	10
99.6%	25%	0.1%	0%	0%	74.9%	0%	11
99.8%	25%	0%	0%	0%	74.9%	0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample737.0ms (47.1%)

Memory

30.7MiB live, 624.6MiB allocated; 663ms collecting garbage

Samples

556.0ms	8 245×	0	valid
1.0ms	11×	1	valid
0.0ms	12×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 430.0ms

ival-sqrt: 369.0ms (85.7% of total)

ival-mult!: 32.0ms (7.4% of total)

ival-sub!: 28.0ms (6.5% of total)

adjust: 2.0ms (0.5% of total)

Bogosity

preprocess40.0ms (2.6%)

Memory

-7.8MiB live, 37.9MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	21
1	42	21
2	92	19
3	323	19
4	1616	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series13.0ms (0.8%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	640

Stop Event

1×	iter-limit

Counts

6 → 26

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)

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

Calls

3 calls:

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

rewrite95.0ms (6.1%)

Memory

6.1MiB live, 114.7MiB allocated; 64ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	26	17
2	53	17
3	181	17
4	973	17
0	4086	17

Stop Event

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

Counts

6 → 144

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(sqrt.f64 x)

Outputs
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(pow.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (-.f64 x #s(literal 1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(.f64 (fabs.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 binary64))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(*.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -4 binary64) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (E.f64) (E.f64)) (E.f64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 8 binary64) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4 binary64) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 8 binary64) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 x #s(literal -8 binary64) #s(literal 8 binary64)) #s(literal -8 binary64))
(/.f64 (fma.f64 x #s(literal -4 binary64) #s(literal 4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -4 binary64)) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -4 binary64)) #s(literal 0 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 8 binary64)) #s(literal 0 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal -4 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(/.f64 (-.f64 (*.f64 x (E.f64)) (E.f64)) (E.f64))
(/.f64 (-.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal -4 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (+.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 8 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal -2 binary64))
(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal -4 binary64))
(/.f64 (fabs.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal -4 binary64)))
(neg.f64 (.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal -2 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(fma.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(fma.f64 (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 binary64))) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64)) #s(literal 1/4 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(sqrt.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1/2 binary64))
(-.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal 1 binary64))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal -1/2 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal -1/2 binary64) (-.f64 x #s(literal 1/2 binary64)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))))
(+.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x))) (sqrt.f64 x)))
(+.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 x) (neg.f64 (.f64 (sqrt.f64 x) #s(literal -1 binary64)))))
(+.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) x)
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(+.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))

eval18.0ms (1.1%)

Memory: -9.4MiB live, 37.0MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 383 to 669 computations (71.9% saved)

prune4.0ms (0.3%)

Memory

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

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	162	2	164
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	3	165

Accuracy

99.7%

Counts

165 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.3%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	97.6%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	50.9%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Status

Accuracy

Program

✓

99.3%

(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

▶

97.6%

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

▶

50.9%

(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series14.0ms (0.9%)

Memory

-20.4MiB live, 24.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	223	973

Stop Event

1×	iter-limit

Counts

11 → 43

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite98.0ms (6.2%)

Memory

-0.9MiB live, 137.3MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	56
0	21	60
1	45	60
2	91	60
3	303	60
4	2018	43
0	4056	43

Stop Event

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

Counts

11 → 479

Calls

Call 1

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

Outputs
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(pow.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x)))))
(.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))))
(.f64 (neg.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))) (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x)))))
(.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(.f64 (neg.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (neg.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (neg.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) x)
(.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) x)
(*.f64 (fabs.f64 (+.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 x) (sqrt.f64 x))) (fabs.f64 (-.f64 (neg.f64 x) (sqrt.f64 x))))
(*.f64 (fabs.f64 (+.f64 x (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 x (neg.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (+.f64 x (sqrt.f64 x))) (fabs.f64 (-.f64 x (sqrt.f64 x))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x)
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (neg.f64 x))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (+.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))) (-.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x))))
(*.f64 (+.f64 (neg.f64 x) (sqrt.f64 x)) (-.f64 (neg.f64 x) (sqrt.f64 x)))
(*.f64 (+.f64 x (neg.f64 (sqrt.f64 x))) (-.f64 x (neg.f64 (sqrt.f64 x))))
(*.f64 (+.f64 x (sqrt.f64 x)) (-.f64 x (sqrt.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64))
(.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))))
(.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) x))
(.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x))
(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(*.f64 (-.f64 x #s(literal 1 binary64)) x)
(.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x))
(*.f64 x (-.f64 x #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64))
(pow.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) #s(literal 2 binary64))
(/.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x) #s(literal 2 binary64))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 x)) x) (neg.f64 (sqrt.f64 x)) (neg.f64 x))
(fma.f64 (*.f64 (sqrt.f64 x) x) (sqrt.f64 x) (neg.f64 x))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(fma.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64) (neg.f64 x))
(fma.f64 (*.f64 x x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (*.f64 (neg.f64 (sqrt.f64 x)) x) (neg.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 x x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (neg.f64 x)) (.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (neg.f64 x))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) (*.f64 x x))
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) x) (neg.f64 x))
(fma.f64 #s(literal -1 binary64) x (*.f64 x x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) x) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) #s(literal -1 binary64)) (.f64 x x))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (*.f64 x x) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) (*.f64 x x))
(fma.f64 x #s(literal -1 binary64) (*.f64 x x))
(fma.f64 x x (neg.f64 x))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64)))))
(sqrt.f64 (.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (*.f64 x x) x)
(-.f64 (neg.f64 x) (*.f64 (neg.f64 x) x))
(fabs.f64 (-.f64 (*.f64 (neg.f64 x) x) (neg.f64 x)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) x)))
(fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(+.f64 (*.f64 x x) (neg.f64 x))
(+.f64 (neg.f64 x) (*.f64 x x))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
(*.f64 (fabs.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (fabs.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal 4 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64)) (-.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64)) (-.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) #s(literal 4 binary64) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (fma.f64 (neg.f64 x) #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal 4 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64))) #s(literal 2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) #s(literal 4 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)) #s(literal -2 binary64))
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64))) #s(literal -2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (+.f64 #s(literal -1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) (fabs.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fabs.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) (fabs.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (fabs.f64 (+.f64 (sqrt.f64 x) #s(literal -1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal -1 binary64))) #s(literal 0 binary64))
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(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 x x)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) x)))
(/.f64 #s(literal 4 binary64) (*.f64 (+.f64 x x) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (+.f64 x x))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) (neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) (neg.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (neg.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (neg.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 8 binary64)) #s(literal 4 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1/2 binary64) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x x)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(fma.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)) (/.f64 #s(literal -1 binary64) (+.f64 x x)))
(-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(fabs.f64 (-.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 1/2 binary64))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) x)))
(fabs.f64 (-.f64 (/.f64 #s(literal -1 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x x))))
(fabs.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x)))
(fabs.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal -1/2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64)))
(fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(fabs.f64 (.f64 #s(literal -1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))))
(fabs.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) x)))
(fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal -1 binary64) x) #s(literal 2 binary64))))
(fabs.f64 (.f64 #s(literal 1/2 binary64) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) x))))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 (neg.f64 x) x)))
(fabs.f64 (/.f64 (neg.f64 x) (*.f64 x x)))
(fabs.f64 (/.f64 #s(literal -1 binary64) x))
(fabs.f64 (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) x)))
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x x)))
(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) x))
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (sqrt.f64 x))) (neg.f64 (sqrt.f64 x)))
(.f64 (neg.f64 (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 x (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 x))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(fabs.f64 (neg.f64 (*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
(fabs.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fabs.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(fabs.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(fabs.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (neg.f64 x)))
(fabs.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
(fabs.f64 (*.f64 (neg.f64 x) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fabs.f64 (*.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))

eval55.0ms (3.5%)

Memory: 35.1MiB live, 125.8MiB allocated; 10ms collecting garbage
Compiler: Compiled 7 872 to 2 111 computations (73.2% saved)

prune12.0ms (0.8%)

Memory

-32.8MiB live, 19.9MiB allocated; 7ms collecting garbage

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	479	3	482
Fresh	0	0	0
Picked	1	1	2
Done	1	0	1
Total	481	4	485

Accuracy

100.0%

Counts

485 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(*.f64 (sqrt.f64 x) #s(approx (sqrt (- x 1)) (sqrt.f64 x)))
▶	50.9%	(sqrt.f64 (-.f64 (*.f64 x x) x))
✓	50.9%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.2%	#s(approx (sqrt (* (- x 1) x)) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series13.0ms (0.9%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	230	1011

Stop Event

1×	iter-limit

Counts

14 → 45

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite89.0ms (5.7%)

Memory

-3.5MiB live, 131.5MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	76
0	27	68
1	69	60
2	176	60
3	632	60
0	4325	60

Stop Event

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

Counts

14 → 859

Calls

Call 1

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

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

eval161.0ms (10.3%)

Memory: -11.3MiB live, 237.2MiB allocated; 77ms collecting garbage
Compiler: Compiled 17 401 to 3 313 computations (81% saved)

prune14.0ms (0.9%)

Memory

32.6MiB live, 32.6MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	891	2	893
Fresh	0	0	0
Picked	2	1	3
Done	0	1	1
Total	893	4	897

Accuracy

100.0%

Counts

897 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(sqrt.f64 (-.f64 (*.f64 x x) x))
✓	50.9%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.2%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.1%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Compiler

Compiled 40 to 30 computations (25% saved)

series10.0ms (0.7%)

Memory

-32.7MiB live, 13.3MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	318

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite72.0ms (4.6%)

Memory

27.5MiB live, 117.9MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	16	41
1	45	33
2	118	33
3	444	33
0	4109	33

Stop Event

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

Counts

7 → 113

Calls

Call 1

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

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

eval16.0ms (1%)

Memory: -24.4MiB live, 28.3MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 134 to 380 computations (82.2% saved)

prune3.0ms (0.2%)

Memory

10.1MiB live, 10.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	120	4	124

Accuracy

100.0%

Counts

124 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.9%	(sqrt.f64 (-.f64 (*.f64 x x) x))
✓	50.9%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	99.2%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
✓	1.1%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Compiler

Compiled 40 to 30 computations (25% saved)

regimes16.0ms (1%)

Memory

-10.6MiB live, 35.1MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

5 → 1

8 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Outputs
#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Call 2

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

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

Call 3

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

Outputs
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Calls

6 calls:

3.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
3.0ms	x
2.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
2.0ms	x
1.0ms	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
1.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.1%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`
99.3%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.3%	1	`x`

Compiler

Compiled 111 to 59 computations (46.8% saved)

derivations40.0ms (2.5%)

Memory

-0.2MiB live, 44.3MiB allocated; 7ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 35 to 21 computations (40% saved)

preprocess43.0ms (2.8%)

Memory: 15.4MiB live, 60.6MiB allocated; 7ms collecting garbage
Remove: (abs x)
Compiler: Compiled 112 to 81 computations (27.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze1.0ms (0.1%)

sample737.0ms (47.1%)

preprocess40.0ms (2.6%)

series13.0ms (0.8%)

rewrite95.0ms (6.1%)

eval18.0ms (1.1%)

prune4.0ms (0.3%)

series14.0ms (0.9%)

rewrite98.0ms (6.2%)

eval55.0ms (3.5%)

prune12.0ms (0.8%)

series13.0ms (0.9%)

rewrite89.0ms (5.7%)

eval161.0ms (10.3%)

prune14.0ms (0.9%)

series10.0ms (0.7%)

rewrite72.0ms (4.6%)

eval16.0ms (1%)

prune3.0ms (0.2%)

regimes16.0ms (1%)

derivations40.0ms (2.5%)

preprocess43.0ms (2.8%)

end0.0ms (0%)

Profiling