Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

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

analyze2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
0%	0%	25%	75%	0%	0%	0%	1
50%	12.5%	12.5%	75%	0%	0%	0%	2
75%	18.7%	6.2%	75%	0%	0%	0%	3
87.5%	21.9%	3.1%	75%	0%	0%	0%	4
93.8%	23.4%	1.6%	75%	0%	0%	0%	5
96.9%	24.2%	0.8%	75%	0%	0%	0%	6
98.4%	24.6%	0.4%	75%	0%	0%	0%	7
99.2%	24.8%	0.2%	75%	0%	0%	0%	8
99.6%	24.9%	0.1%	75%	0%	0%	0%	9
99.8%	24.9%	0%	75%	0%	0%	0%	10
99.9%	25%	0%	75%	0%	0%	0%	11
100%	25%	0%	75%	0%	0%	0%	12

Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.4s (41.3%)

Memory

3.2MiB live, 2 070.6MiB allocated; 511ms collecting garbage

Samples

1.1s	8 130×	1	valid
4.0ms	125×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 711.0ms

ival-sqrt: 403.0ms (56.7% of total)

adjust: 165.0ms (23.2% of total)

ival-add!: 90.0ms (12.7% of total)

ival-sub!: 53.0ms (7.5% of total)

ival-assert: 0.0ms (0% of total)

ival-and: 0.0ms (0% of total)

ival-<: 0.0ms (0% of total)

Bogosity

preprocess250.0ms (7.4%)

Memory

-12.5MiB live, 70.7MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	38	22
2	78	22
3	254	21
4	947	21
5	6141	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.8%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 12 to 12 computations (0% saved)

series9.0ms (0.3%)

Memory

32.4MiB live, 32.4MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	126	710

Stop Event

1×	iter-limit

Counts

6 → 28

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (+ x 1) (+.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 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 (+.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 1)) (.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 (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x)))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (+ x 1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.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 1)) (.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)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))
1.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ x 1) x 1 (sqrt x))

rewrite67.0ms (2%)

Memory

-21.3MiB live, 78.6MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	57	18
0	476	18

Stop Event

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

Counts

6 → 69

Calls

Call 1

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

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

eval9.0ms (0.3%)

Memory: 16.0MiB live, 16.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 873 to 361 computations (58.6% saved)

prune12.0ms (0.4%)

Memory

-33.3MiB live, 14.6MiB allocated; 5ms collecting garbage

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Accuracy

99.4%

Counts

94 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	6.4%	(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	4.7%	(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
▶	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	6.4%	(.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
	44.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
	67.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
▶	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))

Compiler

Compiled 316 to 286 computations (9.5% saved)

series35.0ms (1%)

Memory

9.6MiB live, 55.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	569	3733

Stop Event

1×	iter-limit

Counts

30 → 116

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx x x)
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (* 1/2 x) (*.f64 #s(literal 1/2 binary64) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (sqrt (/ (- x -1) x)) (/.f64 (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) x))
#s(approx (sqrt (/ (- x -1) x)) (/.f64 (+.f64 (sqrt.f64 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 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (sqrt (/ (- x -1) x)) (/.f64 (+.f64 (sqrt.f64 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 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) x))
#s(approx (/ (- x -1) x) (/.f64 (+.f64 #s(literal 1 binary64) x) x))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (neg (sqrt x)) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (fma.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (fma.f64 x (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (fma.f64 x (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)) (sqrt.f64 x)))))
#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))) (sqrt.f64 x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))))))
#s(approx (* (sqrt x) x) (*.f64 x (sqrt.f64 x)))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))))))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))))
#s(approx (+ (- x -1) x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) x)))
#s(approx (sqrt (* (- x -1) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (* (- x -1) x)) (+.f64 (sqrt.f64 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 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (* (- x -1) x)) (+.f64 (sqrt.f64 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 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (* (- x -1) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (+ x 1)) (.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 (+.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 1)) (.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 (+ 1 (* 1/2 x)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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#s(approx (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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 -1)) (* (sqrt x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.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)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (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)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))))
#s(approx (* (sqrt (- x -1)) (- x -1)) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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)))))) x)))))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.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(literal 1 binary64)))))
#s(approx (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x))) 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 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))
5.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))
5.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))

Time

Variable

Point

Expression

6.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))

5.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))

5.0ms

((- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) 1/2 (* x (sqrt (/ 1 x))) x (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (sqrt x) (- (sqrt (+ x 1)) (sqrt x)) (sqrt (+ x 1)) (+ 1 (* 1/2 x)) (* 1/2 x) (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (sqrt (/ (- x -1) x)) (/ (- x -1) x) (- x -1) -1 (neg (sqrt x)) (/ (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (+ (+ (- x -1) x) (sqrt (* (- x -1) x)))) (- (* (sqrt (- x -1)) (- x -1)) (* (sqrt x) x)) (* (sqrt (- x -1)) (- x -1)) (sqrt (- x -1)) (* (sqrt x) x) (+ (+ (- x -1) x) (sqrt (* (- x -1) x))) (+ (- x -1) x) (sqrt (* (- x -1) x)) (* (- x -1) x))

rewrite119.0ms (3.5%)

Memory

-0.0MiB live, 140.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	201
0	58	185
1	297	162
0	3092	156

Stop Event

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

Counts

30 → 641

Calls

Call 1

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

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 x (sqrt.f64 x)))))
(.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 x))))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(pow.f64 (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x)
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 #s(literal -1/2 binary64) (neg.f64 (/.f64 x (sqrt.f64 x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64))))
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 (/.f64 x (sqrt.f64 x)))))
(/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64)))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 x (sqrt.f64 x)))))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (sqrt.f64 x)) #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 x (sqrt.f64 x))
x
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/4 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 x #s(literal -1/2 binary64))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(neg.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(fabs.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(fabs.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (/.f64 #s(literal -1 binary64) x))
(exp.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)))
#s(literal 1 binary64)
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
(.f64 (-.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))))
(.f64 (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x))))
(*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x)) (neg.f64 (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x) (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (.f64 (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (-.f64 x (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x))))))
(/.f64 (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x)) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (-.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x)) (-.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (*.f64 (sqrt.f64 x) x))))
(neg.f64 (-.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))))
(-.f64 (/.f64 (*.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64))) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x))) (/.f64 (*.f64 (sqrt.f64 x) x) (fma.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) x))))
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
(+.f64 (neg.f64 (sqrt.f64 x)) #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)))
(+.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 x)))
#s(approx (sqrt (+ x 1)) #s(literal 1 binary64))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
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eval78.0ms (2.3%)

Memory: 20.7MiB live, 109.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 9 210 to 2 945 computations (68% saved)

prune337.0ms (10%)

Memory

-53.2MiB live, 33.1MiB allocated; 691ms collecting garbage

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	719	9	728
Fresh	2	4	6
Picked	3	2	5
Done	0	0	0
Total	724	15	739

Accuracy

100.0%

Counts

739 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
▶	6.4%	(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
▶	7.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
▶	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	6.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
	44.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
▶	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
▶	98.9%	#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
	97.0%	#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 419 to 386 computations (7.9% saved)

series38.0ms (1.1%)

Memory

40.1MiB live, 40.1MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	719	4848

Stop Event

1×	iter-limit

Counts

39 → 146

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/8 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(literal -5/128 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/16 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
(-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) x)
(-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))
(-.f64 #s(literal -1 binary64) x)
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)

Outputs
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (*.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 4 binary64)))))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 x) (.f64 #s(literal 1/16 binary64) (.f64 x (sqrt.f64 x)))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/8 binary64) (.f64 x (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 x))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 x)))))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (sqrt (/ 1 x)) x) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 2 binary64))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) (/.f64 (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 x) (.f64 x (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))) (pow.f64 x #s(literal 4 binary64))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 3)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 4 binary64))))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64)))))
#s(approx (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) (/.f64 (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 x) (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 2)) (/.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3 binary64))))
#s(approx (pow x 2) (pow.f64 x #s(literal 2 binary64)))
#s(approx (* 1/2 (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (/ 1/2 (* x (sqrt (/ 1 x)))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
#s(approx (sqrt (- x -1)) #s(literal 1 binary64))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (-.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 x (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 x (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 x (-.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 x (-.f64 (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (.f64 #s(literal 3/8 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64)))) (.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))) (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 (sqrt.f64 x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 3/2 binary64) (sqrt.f64 x)))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)) (sqrt.f64 x)))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (+.f64 #s(literal 1 binary64) (.f64 x (-.f64 (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))) (sqrt.f64 x)))))
#s(approx (* (- x -1) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/2 binary64) x)))
#s(approx (* (- x -1) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 #s(literal 3/8 binary64) x)))))
#s(approx (* (- x -1) (sqrt (- x -1))) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 3/2 binary64) (.f64 x (+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -1/16 binary64) x)))))))
#s(approx (* (sqrt x) x) (*.f64 x (sqrt.f64 x)))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 2 binary64) (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (*.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (-.f64 (*.f64 #s(literal -1 binary64) x) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (-.f64 (.f64 x (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (-.f64 (.f64 x (-.f64 (.f64 x (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) #s(literal 1 binary64))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (- -1 x) #s(literal -1 binary64))
#s(approx (- -1 x) (-.f64 (*.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 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 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 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 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (/ (sqrt (/ 1 x)) x) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 3)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))))
#s(approx (/ (sqrt (/ 1 x)) (pow x 2)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x))
#s(approx (* x (sqrt (/ 1 x))) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (- x -1)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (sqrt (- x -1)) (.f64 x (-.f64 (+.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 -1)) (.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 (- x -1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 x (fma.f64 #s(literal 2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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 (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/6 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (-.f64 (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal 1/144 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 1/24 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 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/72 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))))) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))) (fma.f64 #s(literal -1/72 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 1/6 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (pow.f64 x #s(literal 2 binary64))))))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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 (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (.f64 x (-.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 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 2 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 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))))
#s(approx (* (- x -1) (sqrt (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (- x -1) (sqrt (- x -1))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (* (- x -1) (sqrt (- x -1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)))))
#s(approx (* (- x -1) (sqrt (- x -1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.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)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (*.f64 #s(literal 3 binary64) x))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (.f64 x (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (.f64 x (-.f64 (+.f64 #s(literal 3 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (.f64 x (-.f64 (+.f64 #s(literal 3 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (*.f64 #s(literal -2 binary64) x))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 2 binary64) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (.f64 x (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))) (+.f64 #s(literal 2 binary64) (fma.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))))))
#s(approx (- -1 x) (*.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 (+ (* x x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (+ (* x x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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)))))) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x)))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (sqrt (- x -1)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (+.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 -1)) (.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 (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 #s(literal -2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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 (/ 1 (- (sqrt (- x -1)) (sqrt x))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal 1/8 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (/.f64 #s(literal 1/8 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) 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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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 (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))))))
#s(approx (* (- x -1) (sqrt (- x -1))) (.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 -1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (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 (* (- x -1) (sqrt (- x -1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))))
#s(approx (* (- x -1) (sqrt (- x -1))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (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)))))) x)))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.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(literal 1 binary64)))))
#s(approx (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x))) x)) #s(literal 1 binary64)))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) #s(literal -1/2 binary64))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (.f64 #s(literal -1 binary64) (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/8 binary64) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x))) x)) #s(literal 1/2 binary64)))
#s(approx (- (- -1 x) (sqrt (+ (* x x) x))) (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/8 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) x))) x))) x)) #s(literal 1/2 binary64)))
#s(approx (sqrt (+ (* x x) 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 x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))
6.0ms	x	@	-inf	((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))
4.0ms	x	@	0	((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))

Time

Variable

Point

Expression

7.0ms

inf

((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))

6.0ms

-inf

((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))

4.0ms

((+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (+ (* -1/8 (/ (sqrt (/ 1 x)) x)) (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))))) -1/8 (/ (sqrt (/ 1 x)) x) (sqrt (/ 1 x)) (/ 1 x) 1 x (+ (* -5/128 (/ (sqrt (/ 1 x)) (pow x 3))) (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x))))) -5/128 (/ (sqrt (/ 1 x)) (pow x 3)) (pow x 3) 3 (+ (* 1/16 (/ (sqrt (/ 1 x)) (pow x 2))) (* 1/2 (sqrt (/ 1 x)))) 1/16 (/ (sqrt (/ 1 x)) (pow x 2)) (pow x 2) 2 (* 1/2 (sqrt (/ 1 x))) 1/2 (- (sqrt (+ x 1)) (sqrt x)) (/ 1/2 (* x (sqrt (/ 1 x)))) (* x (sqrt (/ 1 x))) (sqrt x) (- (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)) (- x -1) -1 (/ 1 (/ 1 (- (sqrt (- x -1)) (sqrt x)))) (/ 1 (- (sqrt (- x -1)) (sqrt x))) (/ (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (- x (- (- -1 x) (sqrt (+ (* x x) x))))) (- (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x)) (* (- x -1) (sqrt (- x -1))) (* (sqrt x) x) (- x (- (- -1 x) (sqrt (+ (* x x) x)))) (- (- -1 x) (sqrt (+ (* x x) x))) (- -1 x) (sqrt (+ (* x x) x)) (+ (* x x) x))

rewrite173.0ms (5.1%)

Memory

-36.2MiB live, 115.9MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	52	331
0	85	307
1	435	255
0	4736	255

Stop Event

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

Counts

39 → 1 000

Calls

Call 1

Inputs
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
(fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(literal -1/8 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(literal -5/128 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
#s(literal 3 binary64)
(fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(literal 1/16 binary64)
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
(/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x)))
#s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))
(sqrt.f64 x)
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
(-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 x) x)
(-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))
(-.f64 #s(literal -1 binary64) x)
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x))) #s(literal -1/8 binary64))
(.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) #s(literal -1/8 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) x)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))))) (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))
(.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(.f64 (-.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (pow.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))))))
(.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (pow.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x))) (.f64 #s(literal 1/64 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) x))))))
(.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))))) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x #s(literal 1 binary64)) (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x)
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))) (-.f64 (.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x))))
(/.f64 (fma.f64 (+.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))))) (fma.f64 (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (pow.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))) (fma.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (*.f64 (sqrt.f64 x) x)))))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))) (-.f64 (pow.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 2 binary64)))) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))))
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))) (pow.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) #s(literal 3 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (-.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))) (pow.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))))
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 x x x)) x) #s(literal -1 binary64))) #s(literal -1 binary64))
(*.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)) #s(literal -1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) x))
(.f64 (-.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (.f64 (sqrt.f64 (fma.f64 x x x)) (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))))
(*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (.f64 x x))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (sqrt.f64 (fma.f64 x x x)) x) (+.f64 (sqrt.f64 (fma.f64 x x x)) x))) (+.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x x)) x)))
(/.f64 (fma.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (-.f64 (fma.f64 x x x) (.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))))
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 x x x)) x) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (sqrt.f64 (fma.f64 x x x)) x) (+.f64 (sqrt.f64 (fma.f64 x x x)) x) (*.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x x)) x)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))) (neg.f64 (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (fma.f64 x x x)))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))))
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (fma.f64 x x x))) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x)))) (-.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x))) (-.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (*.f64 (sqrt.f64 (fma.f64 x x x)) (fma.f64 x x x)))))
(neg.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x))))
(neg.f64 (-.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)))
(fma.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fma.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fma.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
(fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fma.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fma.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (neg.f64 (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))) (-.f64 #s(literal -1 binary64) x))
(fma.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (*.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)))))
(fma.f64 #s(literal -1 binary64) (-.f64 x #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x))))) (/.f64 (fma.f64 x x x) (-.f64 #s(literal -1 binary64) (-.f64 x (sqrt.f64 (fma.f64 x x x))))))
(-.f64 (/.f64 (.f64 (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal -1 binary64) x)) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) (fma.f64 x x x)) (fma.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x) (fma.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x) (fma.f64 x x x)))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))
(-.f64 #s(literal -1 binary64) (+.f64 (sqrt.f64 (fma.f64 x x x)) x))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) #s(literal -1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x))) (neg.f64 x)))
(+.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)))) (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x x)) (-.f64 #s(literal -1 binary64) x)))))
(+.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (-.f64 #s(literal -1 binary64) x))
(+.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(+.f64 #s(literal -1 binary64) (+.f64 (neg.f64 x) (neg.f64 (sqrt.f64 (fma.f64 x x x)))))
(+.f64 #s(literal -1 binary64) (-.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x x))))
(+.f64 #s(literal -1 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 x x x)) x)))
(*.f64 (neg.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (neg.f64 x))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal -1 binary64) (.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (-.f64 x #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)))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) (.f64 #s(literal -1 binary64) (neg.f64 x)))))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) x))))
(neg.f64 (-.f64 x #s(literal -1 binary64)))
(fma.f64 #s(literal -1 binary64) x #s(literal -1 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))
(-.f64 #s(literal -1 binary64) x)
(+.f64 (neg.f64 x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (neg.f64 x))
(*.f64 (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) x)
(pow.f64 (fma.f64 x x x) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (sqrt.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (hypot.f64 (.f64 (sqrt.f64 x) x) (.f64 (.f64 x x) x)) (sqrt.f64 (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (*.f64 x x))))))
(sqrt.f64 (fma.f64 x x x))
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(fabs.f64 (sqrt.f64 (fma.f64 x x x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x x)) #s(literal 1/2 binary64)))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) x)) x)
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (.f64 x x))) (*.f64 x x))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (fma.f64 x x x))))
(.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x) (.f64 x x))
(.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (*.f64 x x))))))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (fma.f64 x x x)))
(*.f64 (-.f64 #s(literal -1 binary64) x) (neg.f64 x))
(*.f64 (-.f64 x #s(literal -1 binary64)) x)
(.f64 (.f64 x x) (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(*.f64 x (-.f64 x #s(literal -1 binary64)))
(pow.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x x) #s(literal 1 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x) (-.f64 x #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (-.f64 x (*.f64 x x)))
(/.f64 (neg.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))) (neg.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (.f64 x x))))))
(/.f64 (.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x)) (*.f64 x (-.f64 x #s(literal 1 binary64))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 x x (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (*.f64 x x) x))))
(/.f64 (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (.f64 x x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 x (-.f64 x #s(literal 1 binary64))) (.f64 (*.f64 x (-.f64 x #s(literal 1 binary64))) (fma.f64 x x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) x (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))))
(neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x))
(neg.f64 (-.f64 (neg.f64 x) (*.f64 x x)))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) x)
(fma.f64 (neg.f64 x) (neg.f64 x) x)
(fma.f64 x x x)
(sqrt.f64 (*.f64 (fma.f64 x x x) (fma.f64 x x x)))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x (-.f64 x #s(literal 1 binary64)))) (/.f64 (.f64 x x) (.f64 x (-.f64 x #s(literal 1 binary64)))))
(-.f64 (*.f64 x x) (neg.f64 x))
(-.f64 x (*.f64 (neg.f64 x) x))
(fabs.f64 (fma.f64 x x x))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (.f64 x x))))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) (.f64 x x) (.f64 x (-.f64 x (*.f64 x x))))))
(+.f64 (*.f64 x x) x)
(+.f64 x (*.f64 x x))

eval151.0ms (4.5%)

Memory: 37.7MiB live, 174.8MiB allocated; 22ms collecting garbage
Compiler: Compiled 18 331 to 4 635 computations (74.7% saved)

prune32.0ms (0.9%)

Memory

-40.6MiB live, 58.9MiB allocated; 16ms collecting garbage

Pruning

16 alts after pruning (11 fresh and 5 done)

	Pruned	Kept	Total
New	1 174	5	1 179
Fresh	2	6	8
Picked	2	3	5
Done	0	2	2
Total	1 178	16	1 194

Accuracy

100.0%

Counts

1 194 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	7.2%	(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))) x))
▶	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
✓	7.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
▶	7.0%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
✓	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	6.4%	(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
✓	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
▶	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
▶	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
	98.6%	#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))))) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
▶	97.0%	#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 384 to 351 computations (8.6% saved)

series36.0ms (1.1%)

Memory

36.9MiB live, 83.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	567	3953

Stop Event

1×	iter-limit

Counts

38 → 130

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
(-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x)))
#s(literal -5/128 binary64)
(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))
#s(literal 1/16 binary64)
(.f64 x (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal -1/8 binary64)
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))) (sqrt.f64 x)))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 #s(literal -5/128 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (.f64 x (fma.f64 #s(literal -1/8 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (.f64 x (fma.f64 x (-.f64 (.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 3 binary64))))
#s(approx (* (* x x) (* (sqrt x) x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x)))
#s(approx (* x x) (pow.f64 x #s(literal 2 binary64)))
#s(approx x x)
#s(approx (* (sqrt x) x) (*.f64 x (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))
#s(approx (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 x (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (/.f64 (-.f64 (.f64 x (fma.f64 #s(literal -1/2 binary64) (/.f64 x (sqrt.f64 x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/.f64 (-.f64 (.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (pow.f64 x #s(literal 2 binary64))))
#s(approx (/ -1/2 (sqrt x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1/16 (* x (* (sqrt x) x))) (/.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x))))
#s(approx (* x (* (sqrt x) x)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
#s(approx (/ -1/8 (* (sqrt x) x)) (/.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 x (-.f64 (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64)))))) (sqrt.f64 x)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))) x))
#s(approx (* 1/2 (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (/ (/ 1/2 x) 1) (/.f64 #s(literal 1/2 binary64) x))
#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt 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 x) #s(literal 2 binary64))))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.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 x) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (-.f64 (+.f64 #s(literal 1 binary64) (.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 x) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))) (sqrt.f64 x)))
#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) #s(literal 1 binary64))
#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))
#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (+.f64 #s(literal 1 binary64) (.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 x) #s(literal 4 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))))
#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (+.f64 #s(literal 1 binary64) (.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 x) #s(literal 6 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 2 binary64))))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 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 x) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (sqrt (+ (* x x) x)) (+.f64 (sqrt.f64 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 x) #s(literal 5 binary64)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))))
#s(approx (+ (* x x) x) (*.f64 x (+.f64 #s(literal 1 binary64) x)))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (/.f64 x (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64)))))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (fma.f64 x (-.f64 (.f64 x (fma.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))) (+.f64 #s(literal 1 binary64) (sqrt.f64 x))))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 3 binary64))))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 x)) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
#s(approx (- x -1) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (*.f64 #s(literal 1/2 binary64) x))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (+.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 x) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64))))))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 #s(literal -1/8 binary64) x)))))
#s(approx (sqrt (- x -1)) (+.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 1/2 binary64) (.f64 x (-.f64 (*.f64 #s(literal 1/16 binary64) x) #s(literal 1/8 binary64)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (.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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
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#s(approx (* (* x x) (* (sqrt x) x)) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt x) x) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (.f64 x (-.f64 (+.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 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
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#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (/.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
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#s(approx (sqrt (+ (* x x) x)) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 x (-.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))))) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 2 binary64))))))
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#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal 2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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))))))))
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#s(approx (sqrt (- x -1)) (.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 (- x -1)) (.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))))))))
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#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (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 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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 5 binary64)))))) (+.f64 (/.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 5/128 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 7 binary64))))))) x)))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 #s(literal 5/128 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ -5/128 (* (* x x) (* (sqrt x) x))) (/.f64 #s(literal 5/128 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
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#s(approx (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x))
#s(approx (/ 1/16 (* x (* (sqrt x) x))) (/.f64 #s(literal -1/16 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* x (* (sqrt x) x)) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ -1/8 (* (sqrt x) x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 #s(literal 1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (.f64 #s(literal 5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x))) x) (.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (.f64 x (+.f64 (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 (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.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 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.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) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
#s(approx (/ (sqrt (+ (* x x) x)) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.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) (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 (+ (* x x) x)) (sqrt x)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)) (*.f64 #s(literal 1/2 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 (sqrt (+ (* x x) x)) (*.f64 #s(literal -1 binary64) x))
#s(approx (sqrt (+ (* x x) 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 x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (sqrt (+ (* x x) x)) (.f64 #s(literal -1 binary64) (.f64 x (+.f64 #s(literal 1 binary64) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/8 binary64)) x)) #s(literal 1/2 binary64)) x))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal 2 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)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))))
#s(approx (+ (sqrt (- x -1)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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 -1)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 (fma.f64 #s(literal 2 binary64) (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)) (.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 (+.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 -1)) (.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)))))))))

Calls

3 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))
6.0ms	x	@	0	((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))
6.0ms	x	@	inf	((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))

Time

Variable

Point

Expression

8.0ms

-inf

((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))

6.0ms

((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))

6.0ms

inf

((- (sqrt (+ x 1)) (sqrt x)) (- (/ -5/128 (* (* x x) (* (sqrt x) x))) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x)))) (/ -5/128 (* (* x x) (* (sqrt x) x))) -5/128 (* (* x x) (* (sqrt x) x)) (* x x) x (* (sqrt x) x) (sqrt x) (- (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/8 (* (sqrt x) x))) (- (/ -1/2 (sqrt x)) (/ 1/16 (* x (* (sqrt x) x)))) (/ -1/2 (sqrt x)) -1/2 (/ 1/16 (* x (* (sqrt x) x))) 1/16 (* x (* (sqrt x) x)) (/ -1/8 (* (sqrt x) x)) -1/8 (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (* 1/2 (sqrt (/ 1 x))) 1/2 (sqrt (/ 1 x)) (/ 1 x) 1 (- (sqrt (+ x 1)) (sqrt x)) (* (/ (/ 1/2 x) 1) (sqrt x)) (/ (/ 1/2 x) 1) (/ 1/2 x) (- (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt x)) (/ (sqrt (+ (* x x) x)) (sqrt x)) (sqrt (+ (* x x) x)) (+ (* x x) x) (/ (- (- x -1) x) (+ (sqrt (- x -1)) (sqrt x))) (- (- x -1) x) (- x -1) -1 (+ (sqrt (- x -1)) (sqrt x)) (sqrt (- x -1)))

rewrite186.0ms (5.5%)

Memory

0.9MiB live, 225.1MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	287
0	77	277
1	407	215
0	5499	215

Stop Event

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

Counts

38 → 900

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
(-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x)))
#s(literal -5/128 binary64)
(.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 x) x)
(sqrt.f64 x)
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))
(-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))))
(/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))
#s(literal -1/2 binary64)
(/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))
#s(literal 1/16 binary64)
(.f64 x (.f64 (sqrt.f64 x) x))
(/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))
#s(literal -1/8 binary64)
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) x)
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(sqrt.f64 (fma.f64 x x x))
(fma.f64 x x x)
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(-.f64 (-.f64 x #s(literal -1 binary64)) x)
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))

Outputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x)))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x)) #s(literal -128/5 binary64)))) #s(literal -5/128 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) x) (sqrt.f64 x))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x)))))) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x)))))
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x))) (.f64 (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x)) #s(literal -128/5 binary64)))) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))))
(.f64 (-.f64 (/.f64 (.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) (/.f64 #s(literal -5/128 binary64) (.f64 x x))) (.f64 (.f64 x x) x)) (pow.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 (.f64 x x) x) (sqrt.f64 x))) (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x))))))
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(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 (sqrt.f64 (fma.f64 x x x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (fma.f64 x x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(.f64 x (.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))))
(*.f64 x (/.f64 (-.f64 x #s(literal -1 binary64)) x))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x))
(/.f64 (*.f64 (sqrt.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 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) x) (neg.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) x)
(/.f64 (.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (fma.f64 x x x))) (.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) #s(literal 1 binary64)) (neg.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x x)) (neg.f64 x))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 (fma.f64 x x x))) x)
(/.f64 (.f64 (-.f64 (.f64 x x) x) (fma.f64 x x x)) (.f64 (-.f64 (.f64 x x) x) x))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 x x) (.f64 (.f64 x x) x)) (.f64 (fma.f64 (.f64 (.f64 x x) x) x (.f64 x (-.f64 x (*.f64 x x)))) x))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 x x) x)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (fma.f64 x x x) x)
(/.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) (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 x x) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.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 #s(literal 1 binary64) (/.f64 x (fma.f64 x x x)))
(/.f64 x (/.f64 x (-.f64 x #s(literal -1 binary64))))
(neg.f64 (-.f64 #s(literal -1 binary64) x))
(sqrt.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal -1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(-.f64 (/.f64 (*.f64 x x) x) (/.f64 (neg.f64 x) x))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(-.f64 x (/.f64 (neg.f64 x) x))
(-.f64 x #s(literal -1 binary64))
(fabs.f64 (-.f64 x #s(literal -1 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (*.f64 x x) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) x))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
#s(literal -1 binary64)
(*.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (-.f64 x #s(literal -1 binary64)) x)) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(.f64 (/.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)))) (*.f64 (sqrt.f64 x) x))) (+.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x))))
(*.f64 (+.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x))) (sqrt.f64 x))
(*.f64 (+.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x)))))
(*.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 (/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 x (-.f64 x #s(literal -1 binary64)))))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(/.f64 (neg.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x))) (neg.f64 (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) (+.f64 x (-.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (fma.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) x)) (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x))))
(/.f64 (-.f64 x (-.f64 x #s(literal -1 binary64))) (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(neg.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fma.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 x))
(fma.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(fma.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (sqrt.f64 x))
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (sqrt.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))
(fma.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))) (/.f64 x (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x)))
(-.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(+.f64 (/.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x)))) (/.f64 (.f64 (sqrt.f64 x) x) (-.f64 (-.f64 x (-.f64 #s(literal -1 binary64) x)) (sqrt.f64 (fma.f64 x x x)))))
(+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (fma.f64 x x x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x x)) #s(literal 1 binary64)) (sqrt.f64 x))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x)))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (fma.f64 (*.f64 x x) x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (neg.f64 (sqrt.f64 x)))
(/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(neg.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (neg.f64 (sqrt.f64 x))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(neg.f64 (/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x x))) (sqrt.f64 x)))
(sqrt.f64 (-.f64 x #s(literal -1 binary64)))
(fabs.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(fabs.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1/2 binary64)))

eval137.0ms (4.1%)

Memory: 20.9MiB live, 199.7MiB allocated; 95ms collecting garbage
Compiler: Compiled 13 048 to 3 844 computations (70.5% saved)

prune27.0ms (0.8%)

Memory

12.8MiB live, 57.8MiB allocated; 6ms collecting garbage

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	901	5	906
Fresh	4	2	6
Picked	3	2	5
Done	0	5	5
Total	908	14	922

Accuracy

100.0%

Counts

922 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	7.7%	(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
	9.8%	(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (sqrt.f64 x)))
	9.8%	(/.f64 (-.f64 x (-.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
✓	7.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
✓	7.0%	(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
	7.7%	(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
✓	7.8%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	67.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x))) (sqrt.f64 x)) x #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
✓	96.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
✓	97.0%	#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))

Compiler

Compiled 490 to 313 computations (36.1% saved)

regimes28.0ms (0.8%)

Memory

-19.0MiB live, 31.9MiB allocated; 15ms collecting garbage

Counts

31 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 x (-.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))) x))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)))
(.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x))) (sqrt.f64 x)) x #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))))) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))) (.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 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))) x))

Outputs

#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) x) (fma.f64 #s(literal -5/128 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))))

Calls

2 calls:

8.0ms	x
6.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.9%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.9%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes19.0ms (0.6%)

Memory

-15.5MiB live, 29.4MiB allocated; 6ms collecting garbage

Counts

29 → 1

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 x (-.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))) x))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)))
(.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x))) (sqrt.f64 x)) x #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (.f64 (sqrt.f64 x) x)))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/16 binary64) (.f64 x (.f64 (sqrt.f64 x) x))) (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal -5/128 binary64) (.f64 (.f64 x x) (*.f64 (sqrt.f64 x) x))))) x (/.f64 #s(literal -1/8 binary64) (sqrt.f64 x))) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (.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)))))) x))

Outputs

#s(approx (- (sqrt (+ x 1)) (sqrt x)) (-.f64 (/.f64 #s(literal -5/128 binary64) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 x) x))) (-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (*.f64 x (*.f64 (sqrt.f64 x) x)))) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x)))))

Calls

2 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
8.0ms	x

Results

Accuracy	Segments	Branch
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.4%)

Memory

26.7MiB live, 26.7MiB allocated; 0ms collecting garbage

Counts

26 → 2

Calls

Call 1

Inputs
(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
#s(approx (+ (* (sqrt (/ (- x -1) x)) (sqrt x)) (neg (sqrt x))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
(-.f64 #s(approx (sqrt (+ x 1)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 x))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (sqrt.f64 x)))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))))
(-.f64 (/.f64 (sqrt.f64 (fma.f64 x x x)) (sqrt.f64 x)) (sqrt.f64 x))
(-.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x)) (sqrt.f64 x))
(fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (-.f64 x (-.f64 x #s(literal 1 binary64))) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(/.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) x) (fma.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) x)) (sqrt.f64 x) (sqrt.f64 x)))
(/.f64 (fma.f64 (sqrt.f64 x) x (*.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (-.f64 (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))) x))
(/.f64 (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (.f64 (sqrt.f64 x) x)) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x)))))
(/.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) x))))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 (-.f64 #s(literal -1 binary64) x) (sqrt.f64 (fma.f64 x x x))))) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) x)))
(.f64 (-.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64))) (.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (-.f64 x #s(literal -1 binary64)) x) (sqrt.f64 (.f64 (-.f64 x #s(literal -1 binary64)) x)))))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (-.f64 (/.f64 #s(literal -5/128 binary64) (.f64 x x)) (fma.f64 (.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/16 binary64) (.f64 (.f64 (sqrt.f64 x) x) x))) (sqrt.f64 x)) x #s(literal 1/8 binary64))) (*.f64 (sqrt.f64 x) x)))

Outputs

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

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

Calls

2 calls:

7.0ms	x
5.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
99.8%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
99.8%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes13.0ms (0.4%)

Memory

-27.0MiB live, 18.1MiB allocated; 5ms collecting garbage

Counts

16 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

8.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))
5.0ms	x

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes7.0ms (0.2%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

12 → 2

Calls

Call 1

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

Outputs

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

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

Calls

2 calls:

4.0ms	x
3.0ms	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Results

Accuracy	Segments	Branch
98.7%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	2	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
97.0%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
97.0%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

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

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
96.8%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.8%	1	`x`

Compiler

Compiled 7 to 7 computations (0% saved)

regimes2.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
1.6%	1	`x`
1.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`

Compiler

Compiled 7 to 7 computations (0% saved)

bsearch8.0ms (0.2%)

Memory

-38.5MiB live, 6.8MiB allocated; 5ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	predicate-same

Steps

Time	Left	Right
8.0ms	1569371182315160.0	7840545392869238.0

Samples

6.0ms

32×

valid

Compiler

Compiled 62 to 64 computations (-3.2% saved)

Precisions

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

ival-sqrt: 1.0ms (70.9% of total)

adjust: 0.0ms (0% of total)

ival-sub!: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch11.0ms (0.3%)

Memory

18.5MiB live, 18.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	14418980.28073961	208279760.0894303

Samples

6.0ms

96×

valid

Compiler

Compiled 160 to 166 computations (-3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-sqrt: 2.0ms (48.1% of total)

adjust: 1.0ms (24% of total)

ival-sub!: 0.0ms (0% of total)

ival-add!: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	14418980.28073961	208279760.0894303

Compiler

Compiled 142 to 148 computations (-4.2% saved)

derivations103.0ms (3%)

Memory

19.3MiB live, 111.0MiB allocated; 22ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 113 to 72 computations (36.3% saved)

preprocess76.0ms (2.2%)

Memory: -9.6MiB live, 180.4MiB allocated; 15ms collecting garbage
Remove: (abs x)
Compiler: Compiled 488 to 414 computations (15.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze2.0ms (0.1%)

sample1.4s (41.3%)

preprocess250.0ms (7.4%)

series9.0ms (0.3%)

rewrite67.0ms (2%)

eval9.0ms (0.3%)

prune12.0ms (0.4%)

series35.0ms (1%)

rewrite119.0ms (3.5%)

eval78.0ms (2.3%)

prune337.0ms (10%)

series38.0ms (1.1%)

rewrite173.0ms (5.1%)

eval151.0ms (4.5%)

prune32.0ms (0.9%)

series36.0ms (1.1%)

rewrite186.0ms (5.5%)

eval137.0ms (4.1%)

prune27.0ms (0.8%)

regimes28.0ms (0.8%)

regimes19.0ms (0.6%)

regimes13.0ms (0.4%)

regimes13.0ms (0.4%)

regimes7.0ms (0.2%)

regimes4.0ms (0.1%)

regimes2.0ms (0.1%)

regimes2.0ms (0.1%)

bsearch8.0ms (0.2%)

bsearch11.0ms (0.3%)

bsearch1.0ms (0%)

derivations103.0ms (3%)

preprocess76.0ms (2.2%)

end0.0ms (0%)

Profiling