Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, E

start0.0ms (0.0%)

Memory: 0.1MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze20.0ms (0.2%)

Memory

-32.6MiB live, 12.3MiB allocated; 11ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	0
0.0%	0.0%	99.9%	0.1%	0.0%	0.0%	0.0%	1
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	2
50.0%	50.0%	50.0%	0.1%	0.0%	0.0%	0.0%	3
66.7%	50.0%	25.0%	0.1%	0.0%	25.0%	0.0%	4
66.7%	50.0%	25.0%	0.1%	0.0%	25.0%	0.0%	5
80.0%	50.0%	12.5%	0.1%	0.0%	37.5%	0.0%	6
80.0%	50.0%	12.5%	0.1%	0.0%	37.5%	0.0%	7
88.9%	50.0%	6.2%	0.1%	0.0%	43.7%	0.0%	8
88.9%	50.0%	6.2%	0.1%	0.0%	43.7%	0.0%	9
94.1%	50.0%	3.1%	0.1%	0.0%	46.8%	0.0%	10
94.1%	50.0%	3.1%	0.1%	0.0%	46.8%	0.0%	11
97.0%	50.0%	1.6%	0.1%	0.0%	48.4%	0.0%	12

Compiler

Compiled 10 to 9 computations (10.0% saved)

sample771.0ms (6.9%)

Memory

24.7MiB live, 907.8MiB allocated; 224ms collecting garbage

Samples

487.0ms	8 254×	0	valid
15.0ms	258×	0	invalid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 227.0ms

ival-sqrt: 83.0ms (36.6% of total)

ival-mult!: 69.0ms (30.4% of total)

ival-sub!: 38.0ms (16.8% of total)

ival-add!: 26.0ms (11.5% of total)

adjust: 11.0ms (4.9% of total)

Bogosity

preprocess51.0ms (0.5%)

Memory

-1.9MiB live, 48.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	51
1	79	50
2	255	49
3	642	48
4	2995	48

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Symmetry

(abs x)

Compiler

Compiled 16 to 14 computations (12.5% saved)

series16.0ms (0.1%)

Memory

23.9MiB live, 23.9MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	310

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite129.0ms (1.2%)

Memory

-3.6MiB live, 136.2MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	61	20
2	206	20
3	607	20
4	2012	20
0	4007	20

Stop Event

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

Counts

7 → 276

Calls

Call 1

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

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

eval26.0ms (0.2%)

Memory: 0.2MiB live, 45.5MiB allocated; 5ms collecting garbage
Compiler: Compiled 4 462 to 905 computations (79.7% saved)

prune8.0ms (0.1%)

Memory

16.8MiB live, 16.8MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	285	8	293
Fresh	0	0	0
Picked	1	0	1
Done	-1	1	0
Total	285	9	294

Accuracy

100.0%

Counts

294 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/2 binary64)))))
	99.6%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))))
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	92.0%	(+.f64 (-.f64 #s(literal 1 binary64) x) #s(approx (* y (sqrt x)) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	69.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
▶	57.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	90.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 y (-.f64 (+.f64 (sqrt.f64 x) (/.f64 #s(literal 1 binary64) y)) (/.f64 x y))))
▶	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))

Compiler

Compiled 244 to 185 computations (24.2% saved)

series116.0ms (1.0%)

Memory

19.4MiB live, 157.2MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1250

Stop Event

1×	iter-limit

Counts

27 → 71

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
28.0ms	x	0
21.0ms	y	inf
21.0ms	y	0
14.0ms	x	-inf
12.0ms	y	-inf

rewrite179.0ms (1.6%)

Memory

-15.4MiB live, 307.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	193
0	50	184
1	246	178
2	936	178
0	4141	178

Stop Event

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

Counts

27 → 994

Calls

Call 1

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

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

eval2.0s (17.8%)

Memory

87.3MiB live, 2 692.0MiB allocated; 463ms collecting garbage

Samples

1.5s	24 190×	0	valid
102.0ms	1 922×	0	invalid

Compiler

Compiled 34 353 to 5 053 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult!: 381.0ms (72.8% of total)

ival-sub!: 107.0ms (20.4% of total)

adjust: 35.0ms (6.7% of total)

prune23.0ms (0.2%)

Memory

-10.7MiB live, 43.5MiB allocated; 7ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	1 085	8	1 093
Fresh	2	1	3
Picked	5	0	5
Done	-3	4	1
Total	1 089	13	1 102

Accuracy

100.0%

Counts

1 102 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (.f64 x (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))))))
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
▶	69.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
▶	69.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 y #s(approx (sqrt x) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
	69.6%	#s(approx (+ (- 1 x) (* y (/ 1 (pow x -1/2)))) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
▶	78.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 (-.f64 (.f64 (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) y) x) y) y))
✓	57.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	90.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y (/.f64 (sqrt.f64 #s(literal 1 binary64)) (sqrt.f64 x))) #s(literal 1 binary64))))
✓	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
	30.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
▶	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 372 to 280 computations (24.7% saved)

series20.0ms (0.2%)

Memory

30.6MiB live, 30.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	850

Stop Event

1×	iter-limit

Counts

29 → 53

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
3.0ms	x	-inf
2.0ms	x	0
2.0ms	x	inf
2.0ms	y	-inf
1.0ms	y	inf

rewrite177.0ms (1.6%)

Memory

12.5MiB live, 292.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	214
0	56	200
1	236	187
2	817	179
3	2788	179
0	4152	161

Stop Event

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

Counts

29 → 1 554

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
x
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))
(/.f64 (neg.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 y))) y)
(/.f64 (neg.f64 (+.f64 (*.f64 (neg.f64 x) y) y)) (neg.f64 y))
(/.f64 (+.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 (+.f64 (*.f64 (neg.f64 x) (neg.f64 y)) (neg.f64 y)) (neg.f64 y))
(/.f64 (+.f64 (*.f64 (neg.f64 x) y) y) y)
(/.f64 (+.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (+.f64 (.f64 x x) (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (neg.f64 x))))
(/.f64 (-.f64 (.f64 x x) (.f64 #s(literal 1 binary64) #s(literal 1 binary64))) (-.f64 (neg.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (-.f64 (.f64 x x) (neg.f64 x))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (-.f64 #s(literal 1 binary64) (neg.f64 x)))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (.f64 x x)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 #s(literal 1 binary64) #s(literal 1 binary64)) (+.f64 (.f64 x x) (*.f64 #s(literal 1 binary64) x))))
(neg.f64 (-.f64 x #s(literal 1 binary64)))
(-.f64 (neg.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal 1 binary64) x)
(+.f64 (neg.f64 x) #s(literal 1 binary64))
(+.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (neg.f64 x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))
(+.f64 #s(literal 1 binary64) (neg.f64 x))
y
#s(literal 1 binary64)
(.f64 (fabs.f64 (.f64 (sqrt.f64 x) y)) (/.f64 #s(literal 1 binary64) (fabs.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 (neg.f64 (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x)))
(.f64 (pow.f64 (.f64 x y) #s(literal 1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 1/2 binary64)) (pow.f64 #s(literal -1 binary64) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) y) x) #s(literal 1/2 binary64)))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))
(*.f64 (fabs.f64 y) (fabs.f64 (/.f64 (sqrt.f64 x) y)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 #s(literal -1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 x))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 #s(literal -1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) y) (/.f64 #s(literal 1 binary64) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 1 binary64))
(.f64 y (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))
(*.f64 y (/.f64 (sqrt.f64 x) y))
(*.f64 x (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (sqrt.f64 x))
(pow.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)) #s(literal 1/2 binary64))
(pow.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 1 binary64))
(pow.f64 x #s(literal 1/2 binary64))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x))) #s(literal -2 binary64))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) (neg.f64 (.f64 #s(literal 2 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) x)) (.f64 (sqrt.f64 x) y))
(/.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x)))))
(/.f64 (neg.f64 (.f64 (neg.f64 y) (neg.f64 x))) (.f64 (neg.f64 y) (sqrt.f64 x)))
(/.f64 (fabs.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (fabs.f64 (.f64 (neg.f64 y) (neg.f64 x))) (fabs.f64 (.f64 (sqrt.f64 x) y)))
(/.f64 (fabs.f64 (.f64 (neg.f64 x) y)) (fabs.f64 (.f64 (neg.f64 y) (sqrt.f64 x))))
(/.f64 (fabs.f64 (.f64 (neg.f64 y) x)) (fabs.f64 (.f64 (neg.f64 y) (sqrt.f64 x))))
(/.f64 (fabs.f64 (.f64 y x)) (fabs.f64 (.f64 (sqrt.f64 x) y)))
(/.f64 (fabs.f64 (*.f64 (neg.f64 y) (sqrt.f64 x))) (fabs.f64 y))
(/.f64 (fabs.f64 (*.f64 (sqrt.f64 x) y)) (fabs.f64 y))
(/.f64 (sqrt.f64 (*.f64 x (neg.f64 y))) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (*.f64 x y)) (sqrt.f64 y))
(/.f64 (sqrt.f64 (*.f64 x #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 y) x)) (sqrt.f64 (neg.f64 y)))
(/.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 y))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 x)) (sqrt.f64 x))
(/.f64 (neg.f64 (.f64 (neg.f64 x) y)) (.f64 (sqrt.f64 x) y))
(/.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 x)) #s(literal 2 binary64))
(/.f64 (.f64 x y) (.f64 (sqrt.f64 x) y))
(/.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 x))))
(/.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) (sqrt.f64 x)))
(/.f64 (.f64 (neg.f64 y) (neg.f64 x)) (.f64 (sqrt.f64 x) y))
(/.f64 (.f64 (neg.f64 y) x) (.f64 (neg.f64 y) (sqrt.f64 x)))
(/.f64 (.f64 y x) (.f64 (sqrt.f64 x) y))
(/.f64 (.f64 (neg.f64 x) y) (.f64 (neg.f64 y) (sqrt.f64 x)))
(/.f64 (*.f64 (neg.f64 y) (sqrt.f64 x)) (neg.f64 y))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(/.f64 (neg.f64 x) (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 x) (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)))
(/.f64 (neg.f64 x) (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(/.f64 (neg.f64 x) (/.f64 (neg.f64 x) (sqrt.f64 x)))
(/.f64 (neg.f64 x) (neg.f64 (sqrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 x) y) y)
(/.f64 x (sqrt.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 x) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) x))
(neg.f64 (*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
(neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 x)))
(neg.f64 (*.f64 x (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(neg.f64 (/.f64 (neg.f64 x) (sqrt.f64 x)))
(neg.f64 (neg.f64 (sqrt.f64 x)))
(sqrt.f64 (/.f64 (*.f64 x x) x))
(sqrt.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 x x)))
(sqrt.f64 (.f64 (.f64 x x) (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 x)
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(/.f64 (-.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (.f64 x x)) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (neg.f64 x)))
(/.f64 (-.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (.f64 x x)) (+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x))
(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (pow.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (+.f64 (.f64 x x) (.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x))))
(/.f64 (.f64 (-.f64 x (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) y) (neg.f64 y))
(/.f64 (.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) y) y)
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (.f64 (-.f64 x (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 y (.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) y)))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (*.f64 y y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) x y)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) y (neg.f64 y) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) y x y)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y) (neg.f64 y) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (*.f64 y y) x y)
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) y (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (neg.f64 y) (neg.f64 x))
(134-z0z1z2z3z4 (/.f64 #s(literal 1 binary64) y) y (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x y)
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) (.f64 (neg.f64 y) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) (neg.f64 y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 x) #s(literal 1 binary64) y (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 (sqrt.f64 x)) (neg.f64 y) #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (neg.f64 y) (neg.f64 (sqrt.f64 x)) #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x (.f64 (neg.f64 y) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x (neg.f64 y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal -1 binary64) x y (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)))
(134-z0z1z2z3z4 #s(literal 1 binary64) (sqrt.f64 x) y #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) y (sqrt.f64 x) #s(literal 1 binary64) (-.f64 x #s(literal 1 binary64)))
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) (.f64 (neg.f64 y) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) (neg.f64 y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) x #s(literal -1 binary64) y (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) (.f64 (neg.f64 y) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) (neg.f64 y) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) (-.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) y)) (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) y (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (neg.f64 x) y (-.f64 (/.f64 #s(literal -1 binary64) y) (sqrt.f64 x)))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 x)) y)
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (neg.f64 y) (sqrt.f64 x))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) (sqrt.f64 x) (neg.f64 y))
(134-z0z1z2z3z4 #s(literal 1 binary64) #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x) y (neg.f64 (sqrt.f64 x)))
(neg.f64 (.f64 (/.f64 #s(literal -1 binary64) y) (.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) y)))
(neg.f64 (.f64 #s(literal -1 binary64) (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x)))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (-.f64 x (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) y)))
(neg.f64 (-.f64 x (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
(-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64))
(-.f64 (neg.f64 x) (-.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x)
(-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 x #s(literal 1 binary64)))
(-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 y) (sqrt.f64 x)))
(-.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) y)) (.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (neg.f64 x) y)))
(+.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))) (neg.f64 x))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) x))
(+.f64 (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64))
(+.f64 (neg.f64 x) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64))))
(+.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 y) (sqrt.f64 x))))
(+.f64 (neg.f64 x) (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)))
(+.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) (.f64 (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) #s(literal 0 binary64)))
(+.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x) (.f64 #s(literal 0 binary64) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal 1 binary64) y)))
(+.f64 (-.f64 (.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (/.f64 (.f64 (neg.f64 x) y) y))
(+.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) (neg.f64 x))
(+.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (sqrt.f64 x) y))
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x)))
(+.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 x (*.f64 (sqrt.f64 x) y))))
(+.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) (-.f64 (.f64 (sqrt.f64 x) y) x)))
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (sqrt.f64 x) y) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (-.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64)) x))

eval5.5s (49.0%)

Memory

140.5MiB live, 7 533.2MiB allocated; 1.3s collecting garbage

Samples

4.0s	64 364×	0	valid
313.0ms	5 268×	0	invalid

Compiler

Compiled 31 924 to 6 668 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.5s

ival-mult!: 1.1s (74.3% of total)

ival-sub!: 259.0ms (17.5% of total)

adjust: 122.0ms (8.2% of total)

prune27.0ms (0.2%)

Memory

17.9MiB live, 71.1MiB allocated; 8ms collecting garbage

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1 298	5	1 303
Fresh	1	3	4
Picked	5	0	5
Done	-1	5	4
Total	1 303	13	1 316

Accuracy

100.0%

Counts

1 316 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) #s(approx ( x (/ (sqrt 1) (sqrt x))) (/.f64 x (sqrt.f64 x))))))
	54.7%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 y (/.f64 (.f64 y x) (*.f64 (sqrt.f64 x) y))))
	69.5%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (/.f64 x (sqrt.f64 x))))
	69.5%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
✓	69.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
▶	69.6%	#s(approx (+ (- 1 x) (* y (/ 1 (pow x -1/2)))) (+.f64 #s(literal 1 binary64) (/.f64 y (pow.f64 x #s(literal -1/2 binary64)))))
▶	78.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (.f64 (-.f64 (-.f64 (.f64 (sqrt.f64 x) y) x) #s(literal -1 binary64)) y) y))
✓	57.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	90.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
✓	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x (-.f64 (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))))
▶	30.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
✓	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 349 to 264 computations (24.4% saved)

series86.0ms (0.8%)

Memory

-5.6MiB live, 227.4MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	244	1476

Stop Event

1×	iter-limit

Counts

29 → 83

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
17.0ms	y	-inf
13.0ms	y	inf
11.0ms	x	-inf
10.0ms	x	0
10.0ms	x	inf

rewrite206.0ms (1.9%)

Memory

-3.0MiB live, 471.2MiB allocated; 39ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	255
0	64	237
1	324	237
2	1107	211
0	4100	211

Stop Event

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

Counts

29 → 1 551

Calls

Call 1

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

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

eval1.7s (15.3%)

Memory

52.4MiB live, 3 367.3MiB allocated; 419ms collecting garbage

Samples

1.3s	19 596×	0	valid
23.0ms	372×	0	invalid

Compiler

Compiled 37 242 to 5 486 computations (85.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 435.0ms

ival-mult!: 336.0ms (77.2% of total)

ival-sub!: 70.0ms (16.1% of total)

adjust: 30.0ms (6.9% of total)

prune23.0ms (0.2%)

Memory

19.2MiB live, 65.9MiB allocated; 4ms collecting garbage

Pruning

13 alts after pruning (6 fresh and 7 done)

	Pruned	Kept	Total
New	1 244	4	1 248
Fresh	1	2	3
Picked	5	0	5
Done	-2	7	5
Total	1 248	13	1 261

Accuracy

100.0%

Counts

1 261 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
✓	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) #s(approx ( x (/ (sqrt 1) (sqrt x))) (/.f64 x (sqrt.f64 x))))))
	69.5%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (/.f64 x (sqrt.f64 x))))
	69.5%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (.f64 y (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) x)))
✓	69.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
	51.3%	#s(approx (+ (- 1 x) (* y (/ 1 (pow x -1/2)))) (/.f64 (+.f64 (.f64 (.f64 (sqrt.f64 x) y) y) y) y))
	69.6%	#s(approx (+ (- 1 x) (* y (/ 1 (pow x -1/2)))) (+.f64 #s(literal 1 binary64) (/.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))))
	69.5%	#s(approx (+ (- 1 x) (* y (/ 1 (pow x -1/2)))) (+.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))))))
✓	57.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	90.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (sqrt.f64 x)) y))
	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))
✓	30.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
✓	28.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 225 to 167 computations (25.8% saved)

regimes47.0ms (0.4%)

Memory

-19.8MiB live, 78.3MiB allocated; 9ms collecting garbage

Counts

1 → 1

3 → 1

4 → 3

26 → 1

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Call 2

Inputs

#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

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

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

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

Call 3

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

Outputs

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

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

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

Call 4

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

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

Calls

12 calls:

8.0ms	y
7.0ms	x
7.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
4.0ms	y
2.0ms	y

Results

Accuracy	Segments	Branch
28.3%	1	`y`
28.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
28.3%	1	`x`
57.8%	1	`x`
57.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
57.8%	1	`y`
83.9%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.8%	2	`x`
96.8%	3	`y`
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 493 to 166 computations (66.3% saved)

bsearch27.0ms (0.2%)

Memory

-10.9MiB live, 35.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	6.337869739263272e+27	1.8194010239232697e+34
11.0ms	-5.169861351621993e+22	-14045099709185219000.0

Samples

13.0ms

272×

valid

Compiler

Compiled 385 to 369 computations (4.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sqrt: 2.0ms (33.1% of total)

ival-sub!: 1.0ms (16.5% of total)

ival-add!: 1.0ms (16.5% of total)

ival-mult!: 1.0ms (16.5% of total)

adjust: 0.0ms (0.0% of total)

derivations2.0ms (0.0%)

Memory

3.1MiB live, 3.1MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 74 to 22 computations (70.3% saved)

preprocess36.0ms (0.3%)

Memory: 11.2MiB live, 56.7MiB allocated; 5ms collecting garbage
Compiler: Compiled 230 to 123 computations (46.5% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze20.0ms (0.2%)

sample771.0ms (6.9%)

preprocess51.0ms (0.5%)

series16.0ms (0.1%)

rewrite129.0ms (1.2%)

eval26.0ms (0.2%)

prune8.0ms (0.1%)

series116.0ms (1.0%)

rewrite179.0ms (1.6%)

eval2.0s (17.8%)

prune23.0ms (0.2%)

series20.0ms (0.2%)

rewrite177.0ms (1.6%)

eval5.5s (49.0%)

prune27.0ms (0.2%)

series86.0ms (0.8%)

rewrite206.0ms (1.9%)

eval1.7s (15.3%)

prune23.0ms (0.2%)

regimes47.0ms (0.4%)

bsearch27.0ms (0.2%)

derivations2.0ms (0.0%)

preprocess36.0ms (0.3%)

end0.0ms (0.0%)

Profiling