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

start0.0ms (0%)

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

analyze8.0ms (0.4%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
50%	50%	50%	0.1%	0%	0%	0%	2
50%	50%	50%	0.1%	0%	0%	0%	3
66.7%	50%	25%	0.1%	0%	25%	0%	4
66.7%	50%	25%	0.1%	0%	25%	0%	5
80%	50%	12.5%	0.1%	0%	37.5%	0%	6
80%	50%	12.5%	0.1%	0%	37.5%	0%	7
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	8
88.9%	50%	6.2%	0.1%	0%	43.7%	0%	9
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	10
94.1%	50%	3.1%	0.1%	0%	46.8%	0%	11
97%	50%	1.6%	0.1%	0%	48.4%	0%	12

Compiler

Compiled 10 to 9 computations (10% saved)

sample930.0ms (47%)

Memory

34.5MiB live, 1 050.4MiB allocated; 297ms collecting garbage

Samples

681.0ms	8 256×	0	valid
10.0ms	259×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-sqrt: 76.0ms (40.9% of total)

ival-sub!: 47.0ms (25.3% of total)

ival-mult!: 44.0ms (23.7% of total)

ival-add!: 18.0ms (9.7% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

preprocess58.0ms (2.9%)

Memory

-25.9MiB live, 66.3MiB allocated; 7ms 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)

series8.0ms (0.4%)

Memory

17.6MiB live, 17.6MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	307

Stop Event

1×	iter-limit

Counts

7 → 23

Calls

Call 1

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

Outputs
#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) (fma.f64 #s(literal -1 binary64) x (*.f64 y (sqrt.f64 x)))))
#s(approx (- 1 x) #s(literal 1 binary64))
#s(approx (- 1 x) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) x)))
#s(approx x x)
#s(approx (* y (sqrt x)) (*.f64 y (sqrt.f64 x)))
#s(approx (sqrt 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 (sqrt x))) (*.f64 x (-.f64 (fma.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) x))
#s(approx (- 1 x) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))))
#s(approx (* y (sqrt x)) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#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) (.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) (.f64 #s(literal -1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (/.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 (sqrt x) (.f64 #s(literal -1 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))))
#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 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 #s(literal -1 binary64) (.f64 y (fma.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	y	-inf
1.0ms	x	0
1.0ms	y	inf

rewrite40.0ms (2%)

Memory

10.0MiB live, 55.8MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	61	20
0	639	19

Stop Event

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

Counts

7 → 94

Calls

Call 1

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

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

eval28.0ms (1.4%)

Memory: -29.2MiB live, 33.7MiB allocated; 29ms collecting garbage
Compiler: Compiled 1 949 to 318 computations (83.7% saved)

prune6.0ms (0.3%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	101	10	111
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	10	112

Accuracy

100.0%

Counts

112 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	56.8%	(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (-.f64 (*.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x)))
	46.1%	(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (-.f64 x (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (fma.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))))))
▶	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
	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))))))
	70.6%	(+.f64 #s(approx (- 1 x) #s(literal 1 binary64)) (*.f64 y (sqrt.f64 x)))
	45.4%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) y) (sqrt.f64 x)) (.f64 (sqrt.f64 x) y) (.f64 (.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)) (.f64 (.f64 (sqrt.f64 x) y) (-.f64 (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) x))))))
▶	99.8%	(*.f64 (fma.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
▶	59.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	64.2%	#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 394 to 220 computations (44.2% saved)

series115.0ms (5.8%)

Memory

21.4MiB live, 207.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	353	2048

Stop Event

1×	iter-limit

Counts

21 → 85

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) 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 (-.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)))
(-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (fma.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

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

Calls

6 calls:

Time	Variable	Point
30.0ms	y	0
28.0ms	x	0
16.0ms	y	-inf
12.0ms	x	inf
10.0ms	x	-inf

rewrite75.0ms (3.8%)

Memory

-10.8MiB live, 82.1MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	137
0	42	113
1	207	104
0	1695	104

Stop Event

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

Counts

21 → 604

Calls

Call 1

Inputs
(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
(sqrt.f64 x)
x
y
(-.f64 #s(literal 1 binary64) 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 (-.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)))
(-.f64 (*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64))
(*.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
(*.f64 (fma.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) x))
(fma.f64 (sqrt.f64 x) (/.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(/.f64 y (-.f64 #s(literal 1 binary64) x))
(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
(.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
#s(literal 1/4 binary64)

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

eval60.0ms (3.1%)

Memory: -18.2MiB live, 122.3MiB allocated; 13ms collecting garbage
Compiler: Compiled 11 427 to 1 588 computations (86.1% saved)

prune12.0ms (0.6%)

Memory

30.5MiB live, 30.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	490	11	501
Fresh	5	0	5
Picked	3	2	5
Done	0	0	0
Total	498	13	511

Accuracy

100.0%

Counts

511 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (sqrt.f64 (sqrt.f64 x)))) y (-.f64 #s(literal 1 binary64) x))
	99.7%	(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) y (-.f64 #s(literal 1 binary64) x))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	70.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶	99.8%	(fma.f64 #s(approx (sqrt x) (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))) y (-.f64 #s(literal 1 binary64) x))
	83.0%	(.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x))) #s(literal 1 binary64)) (sqrt.f64 x)) y)
▶	59.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 1 binary64)))))
✓	59.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	64.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
▶	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	42.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
▶	36.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (.f64 x (.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 391 to 282 computations (27.9% saved)

series17.0ms (0.8%)

Memory

-17.4MiB live, 28.9MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	132	635

Stop Event

1×	iter-limit

Counts

24 → 45

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
4.0ms	x	-inf
2.0ms	y	-inf
2.0ms	x	inf
2.0ms	x	0
2.0ms	y	inf

rewrite164.0ms (8.3%)

Memory

32.1MiB live, 263.4MiB allocated; 16ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	199
0	47	185
1	173	164
2	1535	156
0	8126	148

Stop Event

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

Counts

24 → 841

Calls

Call 1

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

Outputs
(.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (sqrt.f64 x)))) #s(literal 1 binary64)) y) #s(approx (sqrt x) (sqrt.f64 x)))
(.f64 (.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (sqrt.f64 x)))) #s(literal 1 binary64)) #s(approx (sqrt x) (sqrt.f64 x))) y)
(.f64 (+.f64 #s(literal 1 binary64) (/.f64 (.f64 y #s(approx (sqrt x) (sqrt.f64 x))) (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 y #s(approx (sqrt x) (sqrt.f64 x)) #s(literal 1 binary64)))) (fma.f64 y #s(approx (sqrt x) (sqrt.f64 x)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x #s(literal 1 binary64)) (.f64 y #s(approx (sqrt x) (sqrt.f64 x))))) (*.f64 y #s(approx (sqrt x) (sqrt.f64 x))))
(.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y #s(approx (sqrt x) (sqrt.f64 x)))) #s(literal 1 binary64)) (*.f64 y #s(approx (sqrt x) (sqrt.f64 x))))
(.f64 (.f64 (fma.f64 y #s(approx (sqrt x) (sqrt.f64 x)) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y #s(approx (sqrt x) (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y #s(approx (sqrt x) (sqrt.f64 x)) (-.f64 x #s(literal 1 binary64)))))
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(.f64 (.f64 y #s(approx (sqrt x) (sqrt.f64 x))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y #s(approx (sqrt x) (sqrt.f64 x)))) #s(literal 1 binary64)))
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eval149.0ms (7.5%)

Memory: -37.0MiB live, 194.0MiB allocated; 116ms collecting garbage
Compiler: Compiled 22 346 to 2 872 computations (87.1% saved)

prune22.0ms (1.1%)

Memory

-5.9MiB live, 43.3MiB allocated; 9ms collecting garbage

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	764	5	769
Fresh	2	4	6
Picked	3	2	5
Done	0	2	2
Total	769	13	782

Accuracy

100.0%

Counts

782 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.7%	(fma.f64 (*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))) y (-.f64 #s(literal 1 binary64) x))
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
▶	70.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
▶	99.8%	(fma.f64 #s(approx (sqrt x) (/.f64 x (sqrt.f64 x))) y (-.f64 #s(literal 1 binary64) x))
	30.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- x 1)) (/.f64 #s(literal -1 binary64) x))))
✓	59.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	64.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
▶	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
✓	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	39.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (/.f64 (*.f64 y x) (sqrt.f64 x))))
	36.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)))
▶	39.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (.f64 y x))))
✓	42.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))

Compiler

Compiled 399 to 286 computations (28.3% saved)

series18.0ms (0.9%)

Memory

-10.1MiB live, 36.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	614

Stop Event

1×	iter-limit

Counts

22 → 43

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite62.0ms (3.1%)

Memory

-10.6MiB live, 81.2MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	200
0	44	194
1	188	179
0	1558	176

Stop Event

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

Counts

22 → 199

Calls

Call 1

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

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

eval28.0ms (1.4%)

Memory: 7.4MiB live, 57.5MiB allocated; 6ms collecting garbage
Compiler: Compiled 6 070 to 808 computations (86.7% saved)

prune9.0ms (0.4%)

Memory

23.5MiB live, 23.5MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	236	2	238
Fresh	1	3	4
Picked	1	4	5
Done	0	4	4
Total	238	13	251

Accuracy

100.0%

Counts

251 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
✓	70.6%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) #s(literal 1 binary64)))
✓	99.8%	(fma.f64 #s(approx (sqrt x) (/.f64 x (sqrt.f64 x))) y (-.f64 #s(literal 1 binary64) x))
	30.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- x 1)) (/.f64 #s(literal -1 binary64) x))))
✓	59.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	64.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
✓	30.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 x #s(approx (- ( y (sqrt (/ 1 x))) 1) #s(literal -1 binary64))))
✓	29.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	39.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (/.f64 (*.f64 y x) (sqrt.f64 x))))
	42.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (/.f64 y (/.f64 (sqrt.f64 x) x))))
	36.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 (/.f64 y (sqrt.f64 x)) x)))
✓	42.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
	42.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) #s(approx (/ (* y x) (sqrt x)) (/.f64 y (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))))

Compiler

Compiled 247 to 175 computations (29.1% saved)

regimes70.0ms (3.5%)

Memory

-37.6MiB live, 152.5MiB allocated; 8ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

3 → 1

5 → 3

6 → 3

12 → 3

13 → 1

29 → 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))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* x (- (* y (sqrt (/ 1 x))) 1)) (*.f64 y (sqrt.f64 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 #s(literal 1 binary64) #s(approx (/ -1 (- x 1)) (/.f64 #s(literal -1 binary64) x))))

Outputs

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

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

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

Outputs

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

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

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

Call 5

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

Outputs

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

#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 6

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

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

Call 7

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

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

Calls

17 calls:

8.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
8.0ms	x
7.0ms	y
5.0ms	x
4.0ms	x

Results

Accuracy	Segments	Branch
29.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
29.9%	1	`x`
29.9%	1	`y`
59.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
59.3%	1	`x`
59.3%	1	`y`
95.5%	3	`y`
96.6%	3	`y`
82.5%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
82.1%	2	`x`
96.6%	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`
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 614 to 182 computations (70.4% saved)

bsearch18.0ms (0.9%)

Memory

31.3MiB live, 31.3MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.7272047711308467e+38	2.0340313548795248e+43
6.0ms	-1.3742448090168906e+47	-3.924721811350628e+46

Samples

8.0ms

224×

valid

Compiler

Compiled 314 to 301 computations (4.1% saved)

Precisions

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

ival-sqrt: 2.0ms (52.8% of total)

ival-sub!: 1.0ms (26.4% of total)

ival-mult!: 1.0ms (26.4% of total)

adjust: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	2.7272047711308467e+38	2.0340313548795248e+43
1.0ms	-1.3742448090168906e+47	-3.924721811350628e+46

Compiler

Compiled 305 to 292 computations (4.3% saved)

bsearch15.0ms (0.8%)

Memory

-16.3MiB live, 30.1MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	2.2726883627652767e+67	8.098564459197901e+68
6.0ms	-1.3742448090168906e+47	-3.924721811350628e+46

Samples

6.0ms

176×

valid

Compiler

Compiled 443 to 348 computations (21.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub!: 1.0ms (32.9% of total)

ival-sqrt: 1.0ms (32.9% of total)

ival-mult!: 1.0ms (32.9% of total)

adjust: 0.0ms (0% of total)

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

derivations7.0ms (0.4%)

Memory

12.7MiB live, 12.7MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 186 to 39 computations (79% saved)

preprocess55.0ms (2.8%)

Memory: -6.7MiB live, 133.3MiB allocated; 22ms collecting garbage
Remove: (abs x)
Compiler: Compiled 566 to 242 computations (57.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.4%)

sample930.0ms (47%)

preprocess58.0ms (2.9%)

series8.0ms (0.4%)

rewrite40.0ms (2%)

eval28.0ms (1.4%)

prune6.0ms (0.3%)

series115.0ms (5.8%)

rewrite75.0ms (3.8%)

eval60.0ms (3.1%)

prune12.0ms (0.6%)

series17.0ms (0.8%)

rewrite164.0ms (8.3%)

eval149.0ms (7.5%)

prune22.0ms (1.1%)

series18.0ms (0.9%)

rewrite62.0ms (3.1%)

eval28.0ms (1.4%)

prune9.0ms (0.4%)

regimes70.0ms (3.5%)

bsearch18.0ms (0.9%)

bsearch2.0ms (0.1%)

bsearch15.0ms (0.8%)

derivations7.0ms (0.4%)

preprocess55.0ms (2.8%)

end0.0ms (0%)

Profiling