Metrics for sqrt times

start0.0ms (0.0%)

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

analyze2.0ms (0.1%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	0
0.0%	0.0%	100.0%	0.0%	0.0%	0.0%	0.0%	1
0.0%	0.0%	50.0%	0.0%	0.0%	50.0%	0.0%	2
50.0%	25.0%	25.0%	0.0%	0.0%	50.0%	0.0%	3
66.7%	25.0%	12.5%	0.0%	0.0%	62.5%	0.0%	4
80.0%	25.0%	6.2%	0.0%	0.0%	68.7%	0.0%	5
88.9%	25.0%	3.1%	0.0%	0.0%	71.8%	0.0%	6
94.1%	25.0%	1.6%	0.0%	0.0%	73.4%	0.0%	7
97.0%	25.0%	0.8%	0.0%	0.0%	74.2%	0.0%	8
98.5%	25.0%	0.4%	0.0%	0.0%	74.6%	0.0%	9
99.2%	25.0%	0.2%	0.0%	0.0%	74.8%	0.0%	10
99.6%	25.0%	0.1%	0.0%	0.0%	74.9%	0.0%	11
99.8%	25.0%	0.0%	0.0%	0.0%	74.9%	0.0%	12

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample890.0ms (38.0%)

Memory

48.0MiB live, 680.2MiB allocated; 997ms collecting garbage

Samples

710.0ms	8 251×	0	valid
1.0ms	13×	0	invalid
0.0ms	5×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 559.0ms

ival-sqrt: 494.0ms (88.4% of total)

ival-mult!: 35.0ms (6.3% of total)

ival-sub!: 29.0ms (5.2% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

preprocess48.0ms (2.1%)

Memory

-21.1MiB live, 22.9MiB allocated; 17ms 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)

sample0.0ms (0.0%)

Memory

0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series13.0ms (0.6%)

Memory

24.1MiB live, 24.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	640

Stop Event

1×	iter-limit

Counts

6 → 26

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite134.0ms (5.7%)

Memory

-14.7MiB live, 128.7MiB allocated; 21ms 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	1529	17
0	4194	17

Stop Event

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

Counts

6 → 343

Calls

Call 1

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

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

eval40.0ms (1.7%)

Memory: 27.6MiB live, 71.4MiB allocated; 6ms collecting garbage
Compiler: Compiled 5 390 to 1 306 computations (75.8% saved)

prune12.0ms (0.5%)

Memory

-24.7MiB live, 20.8MiB allocated; 6ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	360	4	364
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	360	5	365

Accuracy

100.0%

Counts

365 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.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))
▶	68.9%	(.f64 (sqrt.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
▶	97.0%	(.f64 #s(approx (sqrt (- x 1)) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (sqrt.f64 x))
▶	52.3%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))

Compiler

Compiled 44 to 18 computations (59.1% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1

Outputs
#s(literal 1 binary64)

Samples

0.0ms

1×

valid

Compiler

Compiled 3 to 3 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series51.0ms (2.2%)

Memory

15.6MiB live, 75.3MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	586	3298

Stop Event

1×	iter-limit

Counts

18 → 96

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite278.0ms (11.8%)

Memory

-9.3MiB live, 451.0MiB allocated; 70ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	106
0	35	104
1	103	104
2	332	92
3	1227	92
0	4583	92

Stop Event

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

Counts

18 → 3 022

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal 1 binary64)))
(.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (-.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) x)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 x #s(literal -1 binary64))) #s(literal -1 binary64))
(.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) x)
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 2 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 1 binary64)))
(*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 2 binary64))
(/.f64 (fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal 2 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal -2 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal 4 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 4 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal -2 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal 2 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64))) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) x) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (fabs.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (.f64 x x)) (-.f64 #s(literal -1 binary64) x))
(/.f64 (+.f64 (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal -1 binary64) #s(literal -1 binary64) (-.f64 (*.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 1 binary64) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) x))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) (neg.f64 x))
(-.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)))
(sqrt.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))
(sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))
(fabs.f64 (-.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (neg.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (neg.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal -1 binary64)))
(fabs.f64 (.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) #s(literal 1 binary64)))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))))
(fabs.f64 (*.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64))))
(fabs.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(fabs.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(fabs.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(fabs.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(fabs.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (-.f64 x #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 #s(literal -1 binary64) x)
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 x #s(literal 1 binary64))))
(+.f64 x #s(literal -1 binary64))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 2 binary64)) #s(literal 2 binary64))
(.f64 (/.f64 (neg.f64 (sqrt.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 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) #s(literal 1 binary64)) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (neg.f64 (sqrt.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 (-.f64 x #s(literal 1 binary64)))) (-.f64 x #s(literal 1 binary64))))
(*.f64 (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (sqrt.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 (.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 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)))
(.f64 (/.f64 (sqrt.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 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (-.f64 #s(literal 1 binary64) x) #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) (sqrt.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 #s(literal 1 binary64) x)) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
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(.f64 #s(approx (sqrt (- x 1)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)) (sqrt.f64 x))
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eval307.0ms (13.1%)

Memory: 22.7MiB live, 549.6MiB allocated; 120ms collecting garbage
Compiler: Compiled 48 125 to 6 808 computations (85.9% saved)

prune44.0ms (1.9%)

Memory

-1.8MiB live, 142.9MiB allocated; 14ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	2 157	1	2 158
Fresh	0	0	0
Picked	3	1	4
Done	0	1	1
Total	2 160	3	2 163

Accuracy

100.0%

Counts

2 163 → 3

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))
✓	52.3%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	98.8%	#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

✓

99.2%

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

✓

52.3%

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

▶

98.8%

#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 22 to 13 computations (40.9% saved)

sample0.0ms (0.0%)

Memory

0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series37.0ms (1.6%)

Memory

-18.8MiB live, 26.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	93	385

Stop Event

1×	iter-limit

Counts

8 → 21

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite128.0ms (5.5%)

Memory

10.4MiB live, 238.7MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	43
0	15	35
1	76	27
2	232	27
3	761	27
0	4135	27

Stop Event

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

Counts

8 → 713

Calls

Call 1

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

Outputs
x
#s(literal 1 binary64)
#s(literal 1/2 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal -1 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal -2 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal 0 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 #s(literal 1 binary64) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (fma.f64 #s(literal -2 binary64) x (.f64 #s(literal 0 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64)))) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -2 binary64) x (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x)))) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 0 binary64) (.f64 x #s(literal 2 binary64)))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 0 binary64) (.f64 #s(literal 2 binary64) x))) (.f64 (.f64 #s(literal 2 binary64) x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 #s(literal 0 binary64) (neg.f64 x))) (.f64 (neg.f64 x) x))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 0 binary64) x) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (/.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 0 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 0 binary64) x)))))
(/.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) x #s(literal 0 binary64)) (.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) x) x #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) x))
(/.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal -2 binary64) x (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))) (.f64 (.f64 x #s(literal 2 binary64)) x))
(/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 0 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 0 binary64))) (.f64 (neg.f64 x) x))
(/.f64 (*.f64 #s(literal 8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 8 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 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)) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) #s(literal -4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 4 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 8 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 8 binary64))
(/.f64 (.f64 #s(literal -2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -4 binary64))
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal -4 binary64))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 4 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 4 binary64))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x)) #s(literal 2 binary64))
(/.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)) #s(literal 8 binary64))
(/.f64 #s(literal -4 binary64) (*.f64 #s(literal 4 binary64) (neg.f64 x)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 2 binary64)))
(/.f64 #s(literal -4 binary64) (*.f64 (neg.f64 x) #s(literal 4 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal -4 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -2 binary64))
(/.f64 #s(literal -8 binary64) (.f64 #s(literal 4 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -8 binary64) (.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal -8 binary64) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 4 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (/.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))
(/.f64 #s(literal 8 binary64) (.f64 #s(literal 4 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 8 binary64) (.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) x))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal 4 binary64) (*.f64 x #s(literal 4 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 4 binary64) (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 4 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal 1 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 x #s(literal -2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal -2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (*.f64 (neg.f64 x) #s(literal -2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (neg.f64 x)))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))))
(/.f64 #s(literal 2 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) x)
(/.f64 x (*.f64 x x))
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 2 binary64)) #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal -1/4 binary64) (/.f64 #s(literal 2 binary64) (neg.f64 x)) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1/4 binary64) (/.f64 #s(literal 1/2 binary64) x))
(fma.f64 (/.f64 #s(literal 2 binary64) (neg.f64 x)) #s(literal -1/2 binary64) (/.f64 #s(literal 0 binary64) x))
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(-.f64 x (.f64 (neg.f64 (.f64 x #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) x)))
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(-.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))
#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))

eval80.0ms (3.4%)

Memory: 29.6MiB live, 227.0MiB allocated; 52ms collecting garbage
Compiler: Compiled 9 501 to 2 357 computations (75.2% saved)

prune15.0ms (0.7%)

Memory

12.5MiB live, 58.0MiB allocated; 5ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	725	2	727
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	727	3	730

Accuracy

100.0%

Counts

730 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.3%	(sqrt.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))
▶	98.8%	#s(approx (sqrt (* (- x 1) x)) (-.f64 x #s(literal 1/2 binary64)))
▶	1.1%	#s(approx (sqrt (* (- x 1) x)) #s(approx (* x (- 1 (* 1/2 (/ 1 x)))) #s(literal -1/2 binary64)))

Status

Accuracy

Program

✓

52.3%

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

▶

98.8%

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

▶

1.1%

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

Compiler

Compiled 10 to 8 computations (20.0% saved)

sample8.0ms (0.4%)

Memory

-49.2MiB live, 2.1MiB allocated; 18ms collecting garbage

Calls

Call 1

Inputs
1/2
-1/2

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

Samples

0.0ms

1×

valid

Compiler

Compiled 4 to 4 computations (0.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series9.0ms (0.4%)

Memory

43.7MiB live, 43.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	297

Stop Event

1×	iter-limit

Counts

7 → 15

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite139.0ms (5.9%)

Memory

-23.7MiB live, 206.9MiB allocated; 66ms 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	4067	33

Stop Event

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

Counts

7 → 135

Calls

Call 1

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

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

eval12.0ms (0.5%)

Memory: 30.3MiB live, 30.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 792 to 386 computations (78.5% saved)

prune8.0ms (0.3%)

Memory

-32.1MiB live, 13.7MiB allocated; 4ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	145	3	148

Accuracy

100.0%

Counts

148 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

52.3%

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

✓

98.8%

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

✓

1.1%

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

Compiler

Compiled 10 to 8 computations (20.0% saved)

regimes20.0ms (0.9%)

Memory

40.2MiB live, 40.2MiB allocated; 0ms collecting garbage

Counts

1 → 1

3 → 1

6 → 1

8 → 1

Calls

Call 1

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

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

Call 2

Inputs

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

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

(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)))
(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)))
(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:

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

Results

Accuracy	Segments	Branch
1.1%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.1%	1	`x`
98.8%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.8%	1	`x`
99.2%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.2%	1	`x`
99.9%	1	`(*.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.9%	1	`x`

Compiler

Compiled 89 to 52 computations (41.6% saved)

derivations45.0ms (1.9%)

Memory

-33.8MiB live, 13.1MiB allocated; 2ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 22 to 11 computations (50.0% saved)

preprocess23.0ms (1.0%)

Memory: 31.9MiB live, 31.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 73 to 53 computations (27.4% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.1%)

sample890.0ms (38.0%)

preprocess48.0ms (2.1%)

sample0.0ms (0.0%)

series13.0ms (0.6%)

rewrite134.0ms (5.7%)

eval40.0ms (1.7%)

prune12.0ms (0.5%)

sample0.0ms (0.0%)

series51.0ms (2.2%)

rewrite278.0ms (11.8%)

eval307.0ms (13.1%)

prune44.0ms (1.9%)

sample0.0ms (0.0%)

series37.0ms (1.6%)

rewrite128.0ms (5.5%)

eval80.0ms (3.4%)

prune15.0ms (0.7%)

sample8.0ms (0.4%)

series9.0ms (0.4%)

rewrite139.0ms (5.9%)

eval12.0ms (0.5%)

prune8.0ms (0.3%)

regimes20.0ms (0.9%)

derivations45.0ms (1.9%)

preprocess23.0ms (1.0%)

end0.0ms (0.0%)

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