Metrics for sqrt(x) + sqrt(1-x)

start0.0ms (0.0%)

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

analyze2.0ms (0.2%)

Memory

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

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	51.4%	48.6%	0.0%	0.0%	0.0%	0
0.0%	0.0%	51.4%	48.6%	0.0%	0.0%	0.0%	1
0.0%	0.0%	51.4%	48.6%	0.0%	0.0%	0.0%	2
33.3%	12.9%	25.7%	48.6%	0.0%	12.9%	0.0%	3
60.0%	19.3%	12.9%	48.6%	0.0%	19.3%	0.0%	4
77.8%	22.5%	6.4%	48.6%	0.0%	22.5%	0.0%	5
88.2%	24.1%	3.2%	48.6%	0.0%	24.1%	0.0%	6
93.9%	24.9%	1.6%	48.6%	0.0%	24.9%	0.0%	7
96.9%	24.9%	0.8%	48.6%	0.0%	25.7%	0.0%	8
98.4%	24.9%	0.4%	48.6%	0.0%	26.1%	0.0%	9
99.2%	24.9%	0.2%	48.6%	0.0%	26.3%	0.0%	10
99.6%	25.0%	0.1%	48.6%	0.0%	26.4%	0.0%	11
99.8%	25.0%	0.1%	48.6%	0.0%	26.4%	0.0%	12

Compiler

Compiled 15 to 12 computations (20.0% saved)

sample570.0ms (45.6%)

Memory

48.3MiB live, 272.9MiB allocated; 70ms collecting garbage

Samples

324.0ms	8 256×	0	valid
0.0ms	8×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-sqrt: 125.0ms (71.9% of total)

ival-sub!: 30.0ms (17.2% of total)

ival-add!: 17.0ms (9.8% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess42.0ms (3.4%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	40	23
2	84	23
3	249	22
4	1012	22

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB 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 (1.0%)

Memory

6.3MiB live, 6.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	755

Stop Event

1×	iter-limit

Counts

6 → 32

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite156.0ms (12.5%)

Memory

-22.0MiB live, 49.3MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	56	18
2	141	18
3	351	18
4	1276	18
0	4090	18

Stop Event

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

Counts

6 → 355

Calls

Call 1

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

Outputs
x
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/4 binary64)) (pow.f64 (.f64 (neg.f64 (sqrt.f64 x)) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/4 binary64)) (pow.f64 (.f64 (sqrt.f64 x) x) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(*.f64 (pow.f64 x #s(literal 0 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (pow.f64 x #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))
(/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 0 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1/2 binary64)))
#s(literal 1 binary64)
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 8 binary64))) #s(literal 4 binary64))
(*.f64 (fabs.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))
(*.f64 (fabs.f64 (+.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))) (fabs.f64 (-.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64))))
(*.f64 (fabs.f64 (+.f64 (sqrt.f64 x) #s(literal 1 binary64))) (fabs.f64 (-.f64 (sqrt.f64 x) #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64))) #s(literal 4 binary64))
(.f64 (fabs.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64))) #s(literal 2 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 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(.f64 (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(.f64 (sqrt.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 3/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (neg.f64 (sqrt.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 #s(literal 1 binary64) x))) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (pow.f64 #s(literal 1/2 binary64) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 8 binary64)) #s(literal 4 binary64))
(.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 4 binary64)) #s(literal 2 binary64))
(*.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 x))
(.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))) (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 2 binary64) #s(literal 2 binary64))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) #s(literal 2 binary64))))
(.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) x))
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(sin.f64 (+.f64 (asin.f64 (sqrt.f64 x)) (/.f64 (PI.f64) #s(literal 2 binary64))))
(sin.f64 (acos.f64 (neg.f64 (sqrt.f64 x))))
(sin.f64 (acos.f64 (sqrt.f64 x)))
(sqrt.f64 (-.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(fabs.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(cos.f64 (fabs.f64 (asin.f64 (neg.f64 (sqrt.f64 x)))))
(cos.f64 (fabs.f64 (asin.f64 (sqrt.f64 x))))
(cos.f64 (asin.f64 (neg.f64 (sqrt.f64 x))))
(cos.f64 (asin.f64 (sqrt.f64 x)))
(exp.f64 (.f64 (log.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (sqrt.f64 x))) (sqrt.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)))) (+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (.f64 (neg.f64 (sqrt.f64 x)) x)) (+.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) x) (-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))
(/.f64 (+.f64 (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x)) (.f64 (sqrt.f64 x) x)) (+.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 x (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 x) x) (.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))) (+.f64 x (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))))
(/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (+.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 x (-.f64 #s(literal 1 binary64) x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (.f64 (sqrt.f64 x) x) (.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) (+.f64 x (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(-.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x))))
(+.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) x)) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))

eval35.0ms (2.8%)

Memory: 30.5MiB live, 30.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 000 to 1 592 computations (73.5% saved)

prune12.0ms (0.9%)

Memory

7.3MiB live, 7.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	380	2	382
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	380	3	383

Accuracy

100.0%

Counts

383 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

100.0%

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

▶

98.7%

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

▶

97.9%

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

Compiler

Compiled 35 to 29 computations (17.1% saved)

sample0.0ms (0.0%)

Memory

0.1MiB live, 0.1MiB 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)

series11.0ms (0.9%)

Memory

3.6MiB live, 3.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	113	541

Stop Event

1×	iter-limit

Counts

10 → 24

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite156.0ms (12.5%)

Memory

-34.0MiB live, 46.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	19	54
1	116	54
2	344	54
3	902	54
4	2842	54
0	4154	51

Stop Event

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

Counts

10 → 267

Calls

Call 1

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

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

eval23.0ms (1.8%)

Memory: 23.8MiB live, 23.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 075 to 1 256 computations (82.2% saved)

prune10.0ms (0.8%)

Memory

6.8MiB live, 6.8MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	323	2	325
Fresh	0	0	0
Picked	2	0	2
Done	-1	2	1
Total	324	4	328

Accuracy

100.0%

Counts

328 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
▶	98.7%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (fma.f64 x #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
▶	97.8%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	97.9%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Compiler

Compiled 48 to 39 computations (18.8% saved)

sample0.0ms (0.0%)

Memory

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

Calls

Call 1

Inputs
1/2
-1/2
-1

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

Samples

0.0ms

1×

valid

Compiler

Compiled 5 to 5 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 (0.7%)

Memory

3.4MiB live, 3.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	572

Stop Event

1×	iter-limit

Counts

11 → 25

Calls

Call 1

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

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

Calls

3 calls:

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

rewrite134.0ms (10.7%)

Memory

-29.6MiB live, 48.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	22	52
1	138	52
2	404	52
3	1347	52
0	4071	52

Stop Event

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

Counts

11 → 304

Calls

Call 1

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

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

eval21.0ms (1.7%)

Memory: 21.1MiB live, 21.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 6 503 to 1 152 computations (82.3% saved)

prune9.0ms (0.7%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	283	0	283
Fresh	0	0	0
Picked	2	0	2
Done	-2	4	2
Total	283	4	287

Accuracy

100.0%

Counts

287 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
✓	98.7%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (fma.f64 x #s(literal -1/2 binary64) (-.f64 (sqrt.f64 x) #s(literal -1 binary64))))
✓	97.8%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (+.f64 (+.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
✓	97.9%	#s(approx (+ (sqrt x) (sqrt (- 1 x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))

Compiler

Compiled 48 to 39 computations (18.8% saved)

regimes7.0ms (0.5%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Counts

2 → 1

5 → 1

Calls

Call 1

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

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

Call 2

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
97.9%	1	`(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
97.9%	1	`x`
100.0%	1	`(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))`
100.0%	1	`x`

Compiler

Compiled 80 to 40 computations (50.0% saved)

derivations2.0ms (0.2%)

Memory

0.4MiB live, 0.4MiB allocated; 0ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 19 to 13 computations (31.6% saved)

preprocess36.0ms (2.9%)

Memory: -79.7MiB live, 10.9MiB allocated; 26ms collecting garbage
Compiler: Compiled 64 to 51 computations (20.3% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze2.0ms (0.2%)

sample570.0ms (45.6%)

preprocess42.0ms (3.4%)

sample0.0ms (0.0%)

series13.0ms (1.0%)

rewrite156.0ms (12.5%)

eval35.0ms (2.8%)

prune12.0ms (0.9%)

sample0.0ms (0.0%)

series11.0ms (0.9%)

rewrite156.0ms (12.5%)

eval23.0ms (1.8%)

prune10.0ms (0.8%)

sample0.0ms (0.0%)

series9.0ms (0.7%)

rewrite134.0ms (10.7%)

eval21.0ms (1.7%)

prune9.0ms (0.7%)

regimes7.0ms (0.5%)

derivations2.0ms (0.2%)

preprocess36.0ms (2.9%)

end0.0ms (0.0%)

Profiling