Metrics for sqrt times

start0.0ms (0%)

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

analyze6.0ms (0.3%)

Memory

-34.7MiB live, 3.8MiB allocated; 10ms 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)

sample820.0ms (34.2%)

Memory

87.7MiB live, 668.7MiB allocated; 899ms collecting garbage

Samples

641.0ms	8 250×	0	valid
1.0ms	15×	0	invalid
0.0ms	6×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-sqrt: 113.0ms (60.7% of total)

ival-sub!: 38.0ms (20.4% of total)

ival-mult!: 34.0ms (18.3% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess55.0ms (2.3%)

Memory

-10.7MiB live, 41.7MiB allocated; 20ms 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
▶	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series20.0ms (0.9%)

Memory

-27.1MiB live, 18.8MiB allocated; 5ms 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

rewrite206.0ms (8.6%)

Memory

13.5MiB live, 170.3MiB allocated; 73ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	17
1	42	17
2	107	17
3	297	17
4	1533	17
0	4194	17

Stop Event

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

Counts

6 → 345

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 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (sqrt.f64 (.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x))) (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (sqrt.f64 x)))
(.f64 (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))))) (sqrt.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))) (sqrt.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)) (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 x (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) x)))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x))) (sqrt.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 (neg.f64 x)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x)))
(.f64 (sqrt.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (.f64 x (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))
(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 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 x x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)))
(/.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)))
(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))))))
(fabs.f64 (neg.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))))))
(fabs.f64 (neg.f64 (neg.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))))
(fabs.f64 (sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) (sqrt.f64 #s(literal 4 binary64)))
(*.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) #s(literal 1/4 binary64)))
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eval40.0ms (1.7%)

Memory: 10.6MiB live, 101.3MiB allocated; 11ms collecting garbage
Compiler: Compiled 5 526 to 1 352 computations (75.5% saved)

prune9.0ms (0.4%)

Memory

-25.5MiB live, 20.3MiB allocated; 5ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	361	4	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	361	5	366

Accuracy

100.0%

Counts

366 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 x))
✓	99.2%	(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
▶	66.9%	(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	97.9%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Compiler

Compiled 49 to 37 computations (24.5% saved)

series37.0ms (1.6%)

Memory

26.0MiB live, 77.8MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	3302

Stop Event

1×	iter-limit

Counts

18 → 96

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

Calls

3 calls:

Time	Variable	Point
4.0ms	x	inf
4.0ms	x	0
4.0ms	x	-inf

rewrite212.0ms (8.8%)

Memory

-8.2MiB live, 362.6MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	35	100
1	103	100
2	332	92
3	1227	92
0	4587	92

Stop Event

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

Counts

18 → 3 026

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

Outputs
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (neg.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (sqrt.f64 (.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (*.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (sqrt.f64 x) (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))))
(.f64 (/.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64))) (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 x) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x #s(literal 1 binary64))))
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(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal 1 binary64)))))
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(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) x) #s(literal -1/2 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x))
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(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)))
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(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
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eval321.0ms (13.4%)

Memory: 23.5MiB live, 586.4MiB allocated; 127ms collecting garbage
Compiler: Compiled 47 692 to 6 518 computations (86.3% saved)

prune75.0ms (3.1%)

Memory

-10.7MiB live, 81.8MiB allocated; 8ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	2 153	2	2 155
Fresh	0	0	0
Picked	3	1	4
Done	1	0	1
Total	2 157	3	2 160

Accuracy

100.0%

Counts

2 160 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.8%	(.f64 #s(approx (sqrt (- x 1)) #s(approx ( x (sqrt (/ 1 x))) (sqrt.f64 x))) (sqrt.f64 x))
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.1%	#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)))))

Status

Accuracy

Program

▶

97.8%

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

✓

51.4%

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

▶

99.1%

#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 39 to 28 computations (28.2% saved)

series12.0ms (0.5%)

Memory

30.1MiB live, 30.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	222	987

Stop Event

1×	iter-limit

Counts

12 → 42

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)
(.f64 #s(approx (sqrt (- x 1)) #s(approx ( x (sqrt (/ 1 x))) (sqrt.f64 x))) (sqrt.f64 x))
#s(approx (sqrt (- x 1)) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 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 (* 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 (* (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 (* (- 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 (* (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 (* (- 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)))))
#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
1.0ms	x	-inf
1.0ms	x	0
1.0ms	x	inf

rewrite129.0ms (5.4%)

Memory

-28.7MiB live, 208.3MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	85
0	25	77
1	96	69
2	286	69
3	900	69
0	4027	69

Stop Event

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

Counts

12 → 883

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

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

eval117.0ms (4.9%)

Memory: -8.7MiB live, 332.1MiB allocated; 59ms collecting garbage
Compiler: Compiled 19 652 to 4 025 computations (79.5% saved)

prune37.0ms (1.6%)

Memory

18.4MiB live, 63.0MiB allocated; 7ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	913	2	915
Fresh	0	0	0
Picked	2	0	2
Done	0	1	1
Total	915	3	918

Accuracy

100.0%

Counts

918 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	99.1%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.0%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

51.4%

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

▶

99.1%

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

▶

1.0%

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

series6.0ms (0.2%)

Memory

19.6MiB live, 19.6MiB allocated; 0ms 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

rewrite146.0ms (6.1%)

Memory

-4.5MiB live, 226.5MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	45
0	16	41
1	92	33
2	274	33
3	816	33
0	4073	33

Stop Event

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

Counts

7 → 135

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 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1/2 binary64))) #s(literal -1/2 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.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 #s(literal 1 binary64) (/.f64 x #s(literal -1/2 binary64))) #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 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1/2 binary64)) #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 (fma.f64 x x (*.f64 x #s(literal -1/2 binary64))) x)
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 x #s(literal 1/2 binary64))) (neg.f64 x))
(/.f64 (fma.f64 x x (*.f64 #s(literal -1/2 binary64) x)) x)
(/.f64 (fma.f64 x (neg.f64 x) (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 x))
(/.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 x (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 x (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) x)) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x) x) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x) x) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x) (.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 (/.f64 #s(literal 1/2 binary64) x) x))) (+.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)))) (+.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 (-.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (+.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 (/.f64 #s(literal 1/2 binary64) x) x) (.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) (.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)) (.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x))))))
(/.f64 (fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (.f64 x #s(literal 2 binary64)))
(/.f64 (+.f64 x (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 x (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 x (.f64 x #s(literal 2 binary64)))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64) (.f64 x (.f64 #s(literal 2 binary64) x))) (.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 2 binary64)))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x))) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 4 binary64))
(/.f64 (+.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x))) #s(literal 4 binary64))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 #s(literal 2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 x #s(literal 2 binary64)) (neg.f64 x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (.f64 x #s(literal -1/2 binary64)))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) x (.f64 #s(literal 2 binary64) (.f64 #s(literal -1/2 binary64) x))) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (neg.f64 x) (.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) x))) (.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (fma.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (.f64 x #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 x #s(literal 2 binary64))) (.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))) (.f64 #s(literal 2 binary64) x)) (.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64))) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64)) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.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 #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 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 #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (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 x #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -2 binary64))) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x))) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal -1 binary64) (.f64 x #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (+.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) 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 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 1 binary64))) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) x) (.f64 x #s(literal 2 binary64))) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/2 binary64) x) (.f64 #s(literal 2 binary64) x)) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 x #s(literal 2 binary64))) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (-.f64 x #s(literal 1/2 binary64)) (.f64 #s(literal 2 binary64) x)) (*.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 x #s(literal 2 binary64)) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) (-.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) x))
(/.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 (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64))) (-.f64 x #s(literal -1/2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (+.f64 #s(literal -1/2 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x x)) (-.f64 #s(literal -1/2 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64)) (.f64 x #s(literal -1/2 binary64)))))
(/.f64 (+.f64 (pow.f64 #s(literal -1/2 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) #s(literal -1/2 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1/2 binary64) x))))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64))) (+.f64 x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/2 binary64) #s(literal 1/2 binary64) (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 x (-.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (-.f64 x #s(literal 1/2 binary64)) x)))
(neg.f64 (-.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal -1/2 binary64) (neg.f64 x))
(-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x)))
(-.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) x) x))
(-.f64 x (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x)))
(-.f64 x #s(literal 1/2 binary64))
(+.f64 #s(literal -1/2 binary64) x)
(+.f64 x (neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x))))
(+.f64 x #s(literal -1/2 binary64))
x
#s(literal 1/2 binary64)

eval17.0ms (0.7%)

Memory: -13.1MiB live, 34.2MiB allocated; 7ms collecting garbage
Compiler: Compiled 2 803 to 541 computations (80.7% saved)

prune4.0ms (0.2%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	142	3	145

Accuracy

100.0%

Counts

145 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	51.4%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
✓	99.1%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
✓	1.0%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

51.4%

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

✓

99.1%

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

✓

1.0%

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

Compiler

Compiled 34 to 26 computations (23.5% saved)

regimes22.0ms (0.9%)

Memory

2.9MiB live, 48.9MiB allocated; 5ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

4 → 1

7 → 1

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

Call 4

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

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

Calls

8 calls:

6.0ms	x
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

Results

Accuracy	Segments	Branch
1.0%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.0%	1	`x`
99.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.1%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`
99.8%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.8%	1	`x`

Compiler

Compiled 142 to 72 computations (49.3% saved)

derivations74.0ms (3.1%)

Memory

-31.2MiB live, 72.6MiB allocated; 44ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 46 to 23 computations (50% saved)

preprocess28.0ms (1.2%)

Memory: 18.5MiB live, 66.6MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 145 to 97 computations (33.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze6.0ms (0.3%)

sample820.0ms (34.2%)

preprocess55.0ms (2.3%)

series20.0ms (0.9%)

rewrite206.0ms (8.6%)

eval40.0ms (1.7%)

prune9.0ms (0.4%)

series37.0ms (1.6%)

rewrite212.0ms (8.8%)

eval321.0ms (13.4%)

prune75.0ms (3.1%)

series12.0ms (0.5%)

rewrite129.0ms (5.4%)

eval117.0ms (4.9%)

prune37.0ms (1.6%)

series6.0ms (0.2%)

rewrite146.0ms (6.1%)

eval17.0ms (0.7%)

prune4.0ms (0.2%)

regimes22.0ms (0.9%)

derivations74.0ms (3.1%)

preprocess28.0ms (1.2%)

end0.0ms (0%)

Profiling