Metrics for 2sqrt (example 3.1)

start0.0ms (0%)

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

analyze12.0ms (0.4%)

Memory

-42.2MiB live, 2.5MiB allocated; 12ms 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)

sample1.1s (31.6%)

Memory

17.4MiB live, 1 009.2MiB allocated; 298ms collecting garbage

Samples

804.0ms	8 128×	1	valid
5.0ms	127×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 543.0ms

ival-sqrt: 245.0ms (45.1% of total)

adjust: 161.0ms (29.6% of total)

ival-add!: 80.0ms (14.7% of total)

ival-sub!: 57.0ms (10.5% of total)

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

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

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

Bogosity

preprocess36.0ms (1.1%)

Memory

30.3MiB live, 30.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	38	22
2	78	22
3	254	21
4	949	21

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	8.3%	(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))

Symmetry

(abs x)

Compiler

Compiled 14 to 12 computations (14.3% saved)

series12.0ms (0.3%)

Memory

14.0MiB live, 14.0MiB 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
2.0ms	x	inf
1.0ms	x	-inf
1.0ms	x	0

rewrite134.0ms (4%)

Memory

-27.7MiB live, 123.6MiB allocated; 72ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	10	18
1	26	18
2	50	18
3	152	18
4	623	18
0	4193	18

Stop Event

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

Counts

6 → 666

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
(neg.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(-.f64 (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)))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/4 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))) (exp.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))) #s(literal 2 binary64))
(/.f64 (+.f64 (exp.f64 (asinh.f64 (sqrt.f64 x))) (exp.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))) #s(literal 2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(cosh.f64 (neg.f64 (asinh.f64 (neg.f64 (sqrt.f64 x)))))
(cosh.f64 (neg.f64 (asinh.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (neg.f64 (sqrt.f64 x))))
(cosh.f64 (asinh.f64 (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))))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 64 binary64)) #s(literal 16 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 32 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 4 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -16 binary64)) #s(literal -8 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 16 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -8 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -4 binary64)) #s(literal -4 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 8 binary64)) #s(literal 8 binary64))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -2 binary64))
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #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 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)) (-.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 0 binary64)))
(*.f64 (+.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 0 binary64)))
(.f64 (fabs.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) #s(literal 2 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #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 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(*.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(*.f64 (-.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))
(*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(.f64 #s(literal 4 binary64) (+.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(.f64 #s(literal 4 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(.f64 #s(literal 4 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (/.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(.f64 #s(literal 2 binary64) (+.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(.f64 #s(literal 2 binary64) (-.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(.f64 #s(literal 2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (/.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1 binary64)))
(pow.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (-.f64 #s(literal -1 binary64) x) (-.f64 #s(literal -1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))
(pow.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal -2 binary64))
(/.f64 (/.f64 (fma.f64 x #s(literal 4 binary64) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64))
(/.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -2 binary64)) #s(literal -1/2 binary64))
(/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -2 binary64))
(/.f64 (fma.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 8 binary64) #s(literal 4 binary64)) #s(literal 8 binary64))
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(fma.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
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(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(hypot.f64 (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 #s(literal -1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal -1 binary64)))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal -1 binary64)))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 #s(literal 1 binary64) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 #s(literal 1 binary64) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) #s(literal 1 binary64)))
(hypot.f64 (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) #s(literal 1 binary64)))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 x #s(literal -1 binary64)))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (neg.f64 (sqrt.f64 x))))
(hypot.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (*.f64 (neg.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 x)))
(hypot.f64 (sqrt.f64 (-.f64 x #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)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 3/2 binary64)))
(+.f64 (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))) (.f64 #s(literal 3 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (.f64 #s(literal 3/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 3/2 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))) (-.f64 x #s(literal -1 binary64)))
(+.f64 (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))) (.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1 binary64))))
(+.f64 (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
(+.f64 (-.f64 (-.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(+.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64)) #s(literal 0 binary64)))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/4 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) (*.f64 #s(literal 0 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 2 binary64))))
(+.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1 binary64) (-.f64 x #s(literal -1/2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (-.f64 x #s(literal -1/2 binary64)))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(pow.f64 (.f64 (.f64 x x) (*.f64 x x)) #s(literal 1/8 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 x)
(fabs.f64 (neg.f64 (sqrt.f64 x)))
(fabs.f64 (sqrt.f64 x))

eval79.0ms (2.4%)

Memory: 19.8MiB live, 108.6MiB allocated; 13ms collecting garbage
Compiler: Compiled 12 100 to 2 262 computations (81.3% saved)

prune26.0ms (0.8%)

Memory

-13.3MiB live, 39.8MiB allocated; 12ms collecting garbage

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	681	9	690
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	682	9	691

Accuracy

99.3%

Counts

691 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.2%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (sqrt.f64 x))
▶	8.2%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))) (sqrt.f64 x))
▶	4.6%	(-.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))
	30.4%	#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))
▶	39.4%	#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))
	65.2%	#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))
▶	96.3%	#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 416 to 300 computations (27.9% saved)

series35.0ms (1.1%)

Memory

9.5MiB live, 55.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	198	1581

Stop Event

1×	iter-limit

Counts

40 → 62

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

Calls

3 calls:

Time	Variable	Point
11.0ms	x	-inf
8.0ms	x	0
7.0ms	x	inf

rewrite154.0ms (4.6%)

Memory

-16.8MiB live, 215.7MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	355
0	70	329
1	185	312
2	666	288
0	4398	278

Stop Event

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

Counts

40 → 965

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

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

eval114.0ms (3.4%)

Memory: 28.3MiB live, 211.8MiB allocated; 21ms collecting garbage
Compiler: Compiled 54 016 to 6 329 computations (88.3% saved)

prune29.0ms (0.9%)

Memory

2.2MiB live, 47.6MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	1 126	11	1 137
Fresh	0	4	4
Picked	3	2	5
Done	0	0	0
Total	1 129	17	1 146

Accuracy

99.9%

Counts

1 146 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
▶	8.2%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (sqrt.f64 x))
	8.2%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (sqrt.f64 x))
	6.1%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (.f64 x (/.f64 (+.f64 x (.f64 x x)) (*.f64 x x))))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	38.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x))
▶	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
	30.4%	#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))
	65.2%	#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))
	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
▶	45.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))
✓	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
▶	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
	38.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 (.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal -4 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -5/2 binary64)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) (/.f64 #s(literal 1 binary64) x)))
	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) x)))
	96.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
▶	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))

Compiler

Compiled 809 to 567 computations (29.9% saved)

series37.0ms (1.1%)

Memory

-17.8MiB live, 43.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	228	1570

Stop Event

1×	iter-limit

Counts

41 → 69

Calls

Call 1

Inputs
#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))))
#s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
(-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))))
(fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(literal 1/16 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
#s(literal 1 binary64)
(pow.f64 (sqrt.f64 x) #s(literal 5 binary64))
(sqrt.f64 x)
x
#s(literal 5 binary64)
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(literal 1/2 binary64)
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(literal 1/8 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 x) #s(literal 3 binary64))
#s(literal 3 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))
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x))
(/.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) x)
(/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64)))
(*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))
(/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64))
(-.f64 x #s(literal -1 binary64))
#s(literal -1 binary64)
(E.f64)
#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))))
(/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x))))
(.f64 x (/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (*.f64 x x)))
(/.f64 (.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) (.f64 x x))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(*.f64 x 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 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (-.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))))
#s(approx (+ (* 1/16 (/ 1 (pow (sqrt x) 5))) (* 1/2 (/ 1 (sqrt x)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64))))
#s(approx (pow (sqrt x) 5) (pow.f64 (sqrt.f64 x) #s(literal 5 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx x x)
#s(approx (* 1/2 (/ 1 (sqrt x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal 1/8 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (/ 1 (pow (sqrt x) 3)) (/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64))))
#s(approx (pow (sqrt x) 3) (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)))
#s(approx (/ 1/2 (sqrt (/ 1 x))) (*.f64 #s(literal 1/2 binary64) (/.f64 x (sqrt.f64 x))))
#s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (* (/ (- x -1) (E)) (E))) #s(literal 1 binary64))
#s(approx (sqrt (* (/ (- x -1) (E)) (E))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) x)))
#s(approx (sqrt (* (/ (- x -1) (E)) (E))) (+.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) (E)) (E))) (+.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) (E)) (E)) (+.f64 #s(literal 1 binary64) x))
#s(approx (/ (- x -1) (E)) (/.f64 #s(literal 1 binary64) (E.f64)))
#s(approx (/ (- x -1) (E)) (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 x (E.f64))))
#s(approx (/ 1/2 (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x)))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 x) x)))
#s(approx (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x))) (/.f64 x (sqrt.f64 x)))
#s(approx (* x (/ 1 (sqrt (/ 1 x)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 x)))
#s(approx (* x 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 (+ (* 1/16 (/ 1 (pow (sqrt x) 5))) (* 1/2 (/ 1 (sqrt 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 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (pow (sqrt x) 5) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64))))
#s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal 1/8 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 (/ 1 (pow (sqrt x) 3)) (/.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 (pow (sqrt x) 3) (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
#s(approx (/ 1/2 (sqrt (/ 1 x))) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (sqrt (/ 1 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
#s(approx (sqrt (* (/ (- x -1) (E)) (E))) (.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) (E)) (E))) (.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) (E)) (E))) (.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) (E)) (E)) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))))
#s(approx (/ (- x -1) (E)) (/.f64 x (E.f64)))
#s(approx (/ (- x -1) (E)) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (E.f64)) (/.f64 #s(literal 1 binary64) (.f64 x (E.f64))))))
#s(approx (/ 1/2 (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
#s(approx (* x (/ 1 (sqrt (/ 1 x)))) (/.f64 x (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 (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.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))))) (.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))) x)))
#s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (.f64 #s(literal -1 binary64) (/.f64 (-.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)))) (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 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))) x)))
#s(approx (+ (* 1/16 (/ 1 (pow (sqrt x) 5))) (* 1/2 (/ 1 (sqrt x)))) (.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) (.f64 #s(literal 1/16 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)))))) x)))
#s(approx (/ 1 (pow (sqrt x) 5)) (/.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (pow (sqrt x) 5) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 5 binary64)))))
#s(approx (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (/ 1 (sqrt x)) (/.f64 #s(literal -1 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#s(approx (* 1/8 (/ 1 (pow (sqrt x) 3))) (/.f64 #s(literal -1/8 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 (/ 1 (pow (sqrt x) 3)) (/.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 (pow (sqrt x) 3) (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))))
#s(approx (sqrt (* (/ (- x -1) (E)) (E))) (.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) (E)) (E))) (.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) (E)) (E))) (.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
14.0ms	x	inf
7.0ms	x	-inf
6.0ms	x	0

rewrite190.0ms (5.7%)

Memory

7.9MiB live, 276.5MiB allocated; 47ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	407
0	94	310
1	285	301
2	1281	255
0	7257	248

Stop Event

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

Counts

41 → 1 966

Calls

Call 1

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

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

eval180.0ms (5.4%)

Memory: 30.4MiB live, 265.7MiB allocated; 28ms collecting garbage
Compiler: Compiled 77 960 to 7 704 computations (90.1% saved)

prune51.0ms (1.5%)

Memory

-12.1MiB live, 83.0MiB allocated; 14ms collecting garbage

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	1 408	15	1 423
Fresh	6	4	10
Picked	3	2	5
Done	0	2	2
Total	1 417	23	1 440

Accuracy

99.9%

Counts

1 440 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	6.5%	(fma.f64 (/.f64 (sqrt.f64 x) (.f64 x x)) (.f64 (neg.f64 x) x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	8.0%	(fma.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	8.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.1%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (/.f64 x (sqrt.f64 x)))
✓	8.2%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (sqrt.f64 x))
▶	8.1%	(-.f64 (sqrt.f64 (.f64 (.f64 (E.f64) (-.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (E.f64)))) (sqrt.f64 x))
	8.2%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
	38.0%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (.f64 (/.f64 (.f64 (.f64 (sqrt.f64 x) x) x) x) #s(literal 1 binary64)) (.f64 x #s(literal 2 binary64))) x))
▶	96.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) x))
	30.4%	#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))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
▶	45.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (.f64 x (/.f64 (.f64 x (/.f64 #s(literal 1 binary64) #s(approx (sqrt (/ 1 x)) (/.f64 (sqrt.f64 x) x)))) (*.f64 x x)))))
✓	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x))) (/.f64 x (sqrt.f64 x)))))
	36.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) x) (*.f64 x x)))))
	45.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))))
✓	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
▶	96.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 x) x))))))
▶	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))))
	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (/.f64 #s(literal 1/2 binary64) x) (sqrt.f64 x) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))))
	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (+.f64 (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (fma.f64 (pow.f64 x #s(literal -5/2 binary64)) #s(literal 1/16 binary64) (/.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 x) x))))))

Compiler

Compiled 1 179 to 824 computations (30.1% saved)

series93.0ms (2.8%)

Memory

-26.8MiB live, 123.9MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	258	1703

Stop Event

1×	iter-limit

Counts

39 → 72

Calls

Call 1

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

Calls

3 calls:

Time	Variable	Point
41.0ms	x	0
15.0ms	x	inf
12.0ms	x	-inf

rewrite111.0ms (3.3%)

Memory

11.1MiB live, 149.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	396
0	92	374
1	270	329
2	1283	298
0	4645	292

Stop Event

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

Counts

39 → 616

Calls

Call 1

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

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

eval65.0ms (1.9%)

Memory: 17.0MiB live, 112.1MiB allocated; 11ms collecting garbage
Compiler: Compiled 22 618 to 2 708 computations (88% saved)

prune56.0ms (1.7%)

Memory

-15.5MiB live, 31.6MiB allocated; 2ms collecting garbage

Pruning

23 alts after pruning (17 fresh and 6 done)

	Pruned	Kept	Total
New	593	8	601
Fresh	5	9	14
Picked	3	2	5
Done	0	4	4
Total	601	23	624

Accuracy

99.9%

Counts

624 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	8.0%	(fma.f64 (/.f64 (sqrt.f64 x) x) (neg.f64 x) (sqrt.f64 (*.f64 (-.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))))
	8.3%	(-.f64 (sqrt.f64 (-.f64 x #s(literal -1 binary64))) (sqrt.f64 x))
	8.1%	(-.f64 (sqrt.f64 (*.f64 (fma.f64 (E.f64) x (E.f64)) (/.f64 #s(literal 1 binary64) (E.f64)))) (sqrt.f64 x))
	8.1%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (/.f64 x (sqrt.f64 x)))
✓	8.2%	(-.f64 (sqrt.f64 (*.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (E.f64)) (E.f64))) (sqrt.f64 x))
	8.2%	(-.f64 (sqrt.f64 #s(approx (+ x 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) x))) (sqrt.f64 x))
✓	1.6%	(-.f64 #s(approx (sqrt (+ x 1)) #s(literal 1 binary64)) (sqrt.f64 x))
✓	96.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (/.f64 (*.f64 x #s(literal 1/2 binary64)) (sqrt.f64 x)) x))
	30.4%	#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))
	96.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 (*.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) x))
✓	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
	96.3%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (/ (* x (/ 1 (sqrt (/ 1 x)))) (* x x))) (/.f64 x (sqrt.f64 x)))))
	36.8%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (/.f64 (.f64 (.f64 (sqrt.f64 x) x) x) (*.f64 x x)))))
	45.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (/.f64 (.f64 x x) (.f64 (sqrt.f64 x) x)))))
✓	96.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (/.f64 #s(literal 1/2 binary64) #s(approx (* x (sqrt (/ 1 x))) (sqrt.f64 x))))
✓	96.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
	96.4%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) (*.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x)))
	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) x)))))
	98.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (/.f64 (sqrt.f64 x) x) #s(literal 1/2 binary64) #s(approx (+ (* (pow x -5/2) 1/16) (/ -1/8 (* (sqrt x) x))) (/.f64 #s(literal -1/8 binary64) (*.f64 x (sqrt.f64 x)))))))
	98.5%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (fma.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) x) (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) x)))))
	98.7%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (.f64 (sqrt.f64 x) x)) x (.f64 (sqrt.f64 x) #s(literal 1/2 binary64))) x)))
	98.6%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) (+.f64 (/.f64 (fma.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) x) #s(literal -1/8 binary64)) (*.f64 (sqrt.f64 x) x)) (/.f64 #s(literal 1/2 binary64) (sqrt.f64 x)))))
	98.1%	#s(approx (- (sqrt (+ x 1)) (sqrt x)) #s(approx (/ (- (+ (/ 1/16 (* (pow x 4) (pow (sqrt (/ 1 x)) 5))) (* 1/2 (/ 1 (sqrt (/ 1 x))))) (/ 1/8 (* (pow x 2) (pow (sqrt (/ 1 x)) 3)))) x) #s(approx (+ (* (/ (sqrt x) x) 1/2) (+ (* (pow x -5/2) 1/16) (/ -1/8 (* (sqrt x) x)))) (/.f64 (-.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 x)) (.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) x))))

Compiler

Compiled 711 to 490 computations (31.1% saved)

regimes122.0ms (3.7%)

Memory

-9.4MiB live, 180.6MiB allocated; 17ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

3 → 1

6 → 1

15 → 2

21 → 2

24 → 1

29 → 1

32 → 1

33 → 1

44 → 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))

Call 2

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

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

Call 3

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

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

Call 4

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

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

Call 5

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

Outputs

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

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

Call 6

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

Outputs

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

Call 7

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

Outputs

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

Call 8

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

Outputs

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

Call 9

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

Outputs

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

Call 10

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

Outputs

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

Calls

20 calls:

11.0ms	x
10.0ms	x
9.0ms	x
9.0ms	x
8.0ms	x

Results

Accuracy	Segments	Branch
1.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
1.6%	1	`x`
96.5%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.5%	1	`x`
96.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
96.7%	1	`x`
98.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.4%	2	`x`
98.4%	2	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.4%	2	`x`
98.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.1%	1	`x`
98.1%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.1%	1	`x`
98.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.6%	1	`x`
98.6%	1	`x`
98.6%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`(-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x))`
98.7%	1	`x`

Compiler

Compiled 1 465 to 339 computations (76.9% saved)

bsearch13.0ms (0.4%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	13573079.232701002	265663970.54328695

Samples

7.0ms

112×

valid

Compiler

Compiled 185 to 171 computations (7.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sqrt: 3.0ms (61.1% of total)

adjust: 1.0ms (20.4% of total)

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

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

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	13573079.232701002	265663970.54328695

Compiler

Compiled 157 to 150 computations (4.5% saved)

derivations614.0ms (18.5%)

Memory

-14.2MiB live, 191.7MiB allocated; 975ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 431 to 97 computations (77.5% saved)

preprocess111.0ms (3.3%)

Memory: -15.9MiB live, 231.8MiB allocated; 68ms collecting garbage
Remove: (abs x)
Compiler: Compiled 1 314 to 707 computations (46.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze12.0ms (0.4%)

sample1.1s (31.6%)

preprocess36.0ms (1.1%)

series12.0ms (0.3%)

rewrite134.0ms (4%)

eval79.0ms (2.4%)

prune26.0ms (0.8%)

series35.0ms (1.1%)

rewrite154.0ms (4.6%)

eval114.0ms (3.4%)

prune29.0ms (0.9%)

series37.0ms (1.1%)

rewrite190.0ms (5.7%)

eval180.0ms (5.4%)

prune51.0ms (1.5%)

series93.0ms (2.8%)

rewrite111.0ms (3.3%)

eval65.0ms (1.9%)

prune56.0ms (1.7%)

regimes122.0ms (3.7%)

bsearch13.0ms (0.4%)

bsearch1.0ms (0%)

derivations614.0ms (18.5%)

preprocess111.0ms (3.3%)

end0.0ms (0%)

Profiling