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

start0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze8.0ms (0.5%)

Memory

27.5MiB live, 27.5MiB 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)

sample698.0ms (43.6%)

Memory

28.5MiB live, 1 113.6MiB allocated; 134ms collecting garbage

Samples

407.0ms	8 255×	0	valid
10.0ms	255×	0	invalid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-sqrt: 84.0ms (40% of total)

ival-mult!: 61.0ms (29.1% of total)

ival-sub!: 48.0ms (22.9% of total)

ival-add!: 16.0ms (7.6% of total)

adjust: 1.0ms (0.5% of total)

Bogosity

preprocess101.0ms (6.3%)

Memory

-23.6MiB live, 51.2MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	55	54
2	112	54
3	196	51
4	415	50
5	1189	50
6	3067	50
7	6969	50

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)))

Compiler

Compiled 14 to 14 computations (0% saved)

series6.0ms (0.4%)

Memory

21.6MiB live, 21.6MiB allocated; 0ms collecting garbage

Counts

7 → 22

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))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

Calls

6 calls:

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

rewrite135.0ms (8.4%)

Memory

-10.6MiB live, 153.6MiB allocated; 102ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	333
0	84	307
0	392	289

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

29 → 40

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)
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))

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

eval3.0ms (0.2%)

Memory: 14.1MiB live, 14.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 251 to 125 computations (50.2% saved)

prune13.0ms (0.8%)

Memory

-27.1MiB live, 14.5MiB allocated; 12ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	6	36

Accuracy

100.0%

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	45.8%	(/.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (-.f64 #s(literal 1 binary64) x) (.f64 (sqrt.f64 x) y)))))
▶	72.1%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	68.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	58.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	66.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	42.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 156 to 138 computations (11.5% saved)

series43.0ms (2.7%)

Memory

-11.4MiB live, 44.0MiB allocated; 29ms collecting garbage

Counts

19 → 47

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (* y (sqrt x)) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
32.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) x (* y (sqrt x)) y (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) x (* y (sqrt x)) y (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) x (* y (sqrt x)) y (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) x (* y (sqrt x)) y (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
1.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (- 1 x) (neg x) x (* y (sqrt x)) y (sqrt x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))

rewrite60.0ms (3.8%)

Memory

3.0MiB live, 101.6MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	144	829
0	164	777
0	644	754

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

66 → 96

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: 21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 724 to 335 computations (53.7% saved)

prune7.0ms (0.4%)

Memory

-32.5MiB live, 14.7MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	82	6	88
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	85	9	94

Accuracy

100.0%

Counts

94 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))))
✓	58.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	66.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) x))
✓	42.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	36.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	28.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64)))
▶	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 215 to 197 computations (8.4% saved)

series10.0ms (0.6%)

Memory

22.3MiB live, 22.3MiB allocated; 0ms collecting garbage

Counts

22 → 73

Calls

Call 1

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

Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (/ 1 (sqrt x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (- 1 x) #s(hole binary64 (* -1 (* x (- 1 (/ 1 x))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x))))))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1))))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) 1)))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- 1 x)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 -1))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (+ (* (sqrt x) y) (- 1 x)) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (* (- (* (sqrt (/ 1 x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (sqrt (/ 1 x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (sqrt (/ 1 x)) y) 1) x) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x))
1.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (sqrt (/ 1 x)) y) 1) x) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x))
1.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (sqrt (/ 1 x)) y) 1) x) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x))
1.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (sqrt (/ 1 x)) y) 1) x) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x))
1.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (sqrt (/ 1 x)) y) 1) x) (- (* (sqrt (/ 1 x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x))

rewrite69.0ms (4.3%)

Memory

-1.4MiB live, 94.7MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	177	1407
0	196	1331
0	684	1277

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

95 → 121

Calls

Call 1

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

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

eval7.0ms (0.5%)

Memory: 18.7MiB live, 18.7MiB allocated; 0ms collecting garbage
Compiler: Compiled 724 to 320 computations (55.8% saved)

prune6.0ms (0.4%)

Memory

-36.0MiB live, 11.1MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	1	1
Picked	1	4	5
Done	0	3	3
Total	82	9	91

Accuracy

100.0%

Counts

91 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	38.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))))
✓	58.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	42.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
✓	36.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	36.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	28.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64)))
✓	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 127 to 117 computations (7.9% saved)

series28.0ms (1.7%)

Memory

8.7MiB live, 55.7MiB allocated; 2ms collecting garbage

Counts

19 → 91

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (/ 1 (- 1 (* (sqrt x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (+ (* -1 (/ (* x (* (pow y 2) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y))))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (+ (* x (- (/ (* x (* (pow y 4) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (pow y 2) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y))))) (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y))))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (+ 1 (* (sqrt (pow x 3)) (pow y 3)))))
#s(approx (pow (* (sqrt x) y) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow y 3))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (- (+ 1 (* x (pow y 2))) (* (sqrt x) y))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (* (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* (sqrt x) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2)))) (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (- (pow y 2) (* (sqrt (/ 1 x)) y))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 3)))) (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 4)))) (+ (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (- (pow y 2) (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 3)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (* (pow x 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2)))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow y 3))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* (sqrt (/ 1 x)) (pow y 3)) (/ 1 (pow x 2))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (- (pow y 2) (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (- (+ (/ 1 x) (pow y 2)) (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* x (- (/ 1 x) (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* (sqrt x) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (pow x 3))) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) (/ 1 (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (* (pow y 3) (pow (sqrt -1) 4)))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* (sqrt (/ 1 x)) (* (pow y 3) (pow (sqrt -1) 4))) (/ 1 (pow x 2))))))
#s(approx (pow (* (sqrt x) y) 3) #s(hole binary64 (* (sqrt (pow x 3)) (* (pow y 3) (pow (sqrt -1) 4)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))
#s(approx (* (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx y #s(hole binary64 y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* y (- (* -1 (* y (+ x (* -1 x)))) (* -1 (sqrt x)))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* y (- (* y (- (* -1 (* (sqrt x) (* y (+ x (* -1 x))))) (+ x (* -1 x)))) (* -1 (sqrt x)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 1))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (+ 1 (* -1 (* (sqrt x) y)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (+ 1 (* y (- (* x y) (sqrt x))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (+ 1 (* -1 (* (sqrt x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 3)))) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow y 3) (+ (sqrt (pow x 3)) (/ 1 (pow y 3))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (+ x (* -1 (* (sqrt x) (/ 1 y)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (- (+ x (/ 1 (pow y 2))) (* (sqrt x) (/ 1 y))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* y (- (/ 1 y) (sqrt x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) y)))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) y))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))) y))) y)))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* -1 (* (pow y 3) (- (* -1 (sqrt (pow x 3))) (/ 1 (pow y 3)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ 1 y))) (/ 1 (pow y 2)))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ 1 y)))))

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
6.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) (sqrt x) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))

rewrite95.0ms (5.9%)

Memory

27.1MiB live, 122.1MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	410	3401
0	433	2895
0	2314	2846

Stop Event

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

Counts

110 → 163

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x)
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))))
(+.f64 (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(*.f64 (sqrt.f64 x) y)
(sqrt.f64 x)
#s(literal 3 binary64)
(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))
(-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (+ (* -1 x) (* (sqrt x) y))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (/ (+ (* -1 x) (* (sqrt x) y)) x)))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (/ 1 (- 1 (* (sqrt x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (+ (* -1 (/ (* x (* (pow y 2) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (- 1 (* (sqrt x) y)))) (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y))))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ (* x (- (+ (* x (- (/ (* x (* (pow y 4) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2))))) (pow (- 1 (* (sqrt x) y)) 2)) (/ (* (pow y 2) (- (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y)))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (- 1 (* (sqrt x) y))))) (* (sqrt x) (/ (pow y 3) (- 1 (* (sqrt x) y))))) (/ (pow y 2) (pow (- 1 (* (sqrt x) y)) 2)))) (/ 1 (- 1 (* (sqrt x) y))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 1))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (+ 1 (* (sqrt (pow x 3)) (pow y 3)))))
#s(approx (pow (* (sqrt x) y) 3) #s(hole binary64 (* (sqrt (pow x 3)) (pow y 3))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (- (+ 1 (* x (pow y 2))) (* (sqrt x) y))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (- 1 (* (sqrt x) y))))
#s(approx (* (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* (sqrt x) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (+ (* -1 (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2)))) (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (- (pow y 2) (* (sqrt (/ 1 x)) y))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 3)))) (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* x (- (+ (* -1 (* (sqrt (/ 1 (pow x 7))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 4)))) (+ (* (sqrt (/ 1 x)) (/ (pow y 3) (- (pow y 2) (* (sqrt (/ 1 x)) y)))) (/ 1 (* (pow x 2) (- (pow y 2) (* (sqrt (/ 1 x)) y)))))) (+ (* -1 (* (sqrt (/ 1 (pow x 5))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 3)))) (+ (* (sqrt (/ 1 (pow x 3))) (/ (pow y 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2))) (/ 1 (* (pow x 3) (pow (- (pow y 2) (* (sqrt (/ 1 x)) y)) 2)))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (pow y 3))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* (sqrt (/ 1 x)) (pow y 3)) (/ 1 (pow x 2))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (- (pow y 2) (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (- (+ (/ 1 x) (pow y 2)) (* (sqrt (/ 1 x)) y)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* -1 (* (sqrt x) y))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* x (- (/ 1 x) (* (sqrt (/ 1 x)) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* x (- (+ 1 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) (/ 1 x))))))
#s(approx (* (sqrt (/ 1 x)) y) #s(hole binary64 (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))
#s(approx (sqrt (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) (pow (sqrt -1) 2))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* (sqrt x) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* (sqrt (/ 1 (pow x 3))) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (/ 1 (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))) (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* x (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 4)))) (/ 1 (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2))) x)) (/ 1 (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))) (* -1 (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 3))))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (pow (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))) 2)))) x)) (* (sqrt (/ 1 x)) (/ (* (pow y 3) (pow (sqrt -1) 4)) (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2)))))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (sqrt (pow x 3)) (* (pow y 3) (pow (sqrt -1) 4)))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow x 2) (+ (* (sqrt (/ 1 x)) (* (pow y 3) (pow (sqrt -1) 4))) (/ 1 (pow x 2))))))
#s(approx (pow (* (sqrt x) y) 3) #s(hole binary64 (* (sqrt (pow x 3)) (* (pow y 3) (pow (sqrt -1) 4)))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* -1 (* x (- (* (pow y 2) (pow (sqrt -1) 2)) (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* (sqrt x) (* y (pow (sqrt -1) 2)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) (* y (pow (sqrt -1) 2))) (/ 1 x)))))
#s(approx (* (* (sqrt x) y) 1) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- 1 x)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (- (+ 1 (* (sqrt x) y)) x)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 -1))
#s(approx y #s(hole binary64 y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 1))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* y (- (* -1 (* y (+ x (* -1 x)))) (* -1 (sqrt x)))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (+ 1 (* y (- (* y (- (* -1 (* (sqrt x) (* y (+ x (* -1 x))))) (+ x (* -1 x)))) (* -1 (sqrt x)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 1))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (+ 1 (* -1 (* (sqrt x) y)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (+ 1 (* y (- (* x y) (sqrt x))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 1))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (+ 1 (* -1 (* (sqrt x) y)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* y (+ (sqrt x) (* -1 (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* y (- (sqrt (/ 1 x)) (/ 1 y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (+ (sqrt x) (/ 1 y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (+ (sqrt x) (+ (* -1 (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 2))) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* y (- (+ (sqrt x) (+ (* -1 (* (sqrt (/ 1 x)) (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) (pow y 3)))) (/ 1 y))) (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 (pow y 2)))) (* (sqrt (/ 1 x)) (/ 1 (pow y 2))))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* (pow y 3) (+ (sqrt (pow x 3)) (/ 1 (pow y 3))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* x (pow y 2))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (+ x (* -1 (* (sqrt x) (/ 1 y)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (- (+ x (/ 1 (pow y 2))) (* (sqrt x) (/ 1 y))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* y (- (/ 1 y) (sqrt x)))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (- 1 x) y)))))))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (/ x y))))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt x)) (/ 1 y))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (+ (* -1 (* (sqrt (/ 1 x)) (/ 1 y))) (* (sqrt (/ 1 x)) (/ 1 y)))) y)))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (* (sqrt (/ 1 x)) (/ (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x)))) y))) (+ (sqrt (/ 1 x)) (* -1 (sqrt (/ 1 x))))) y))) y)))))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(hole binary64 (* -1 (* (pow y 3) (- (* -1 (sqrt (pow x 3))) (/ 1 (pow y 3)))))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(hole binary64 (* (pow y 2) (+ x (+ (* -1 (* (sqrt x) (/ 1 y))) (/ 1 (pow y 2)))))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(hole binary64 (* y (+ (* -1 (sqrt x)) (/ 1 y)))))

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x)
(.f64 x #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y)))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (expm1.f64 (.f64 (log.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (*.f64 y y) y))
(.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (sqrt.f64 x) y) (.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(literal 3 binary64)
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 x) y)) (fabs.f64 (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (neg.f64 (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (sqrt.f64 x) (.f64 y (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 y y) (.f64 (sqrt.f64 x) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 x) y))))))
(fma.f64 (*.f64 #s(literal -1 binary64) y) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(.f64 (sqrt.f64 x) (.f64 y #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (* (sqrt (/ 1 x)) y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))
#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 y y) (.f64 y y)) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) x) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (.f64 (.f64 y y) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(literal 1 binary64))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)))
#s(approx (pow (* (sqrt x) y) 3) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)))
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#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (pow.f64 (-.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (neg.f64 (.f64 (pow.f64 (/.f64 y (-.f64 (.f64 y y) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y))) #s(literal 3 binary64)) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))))))) x))
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#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (fma.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (-.f64 (.f64 y y) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (-.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (neg.f64 (*.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) #s(literal 1 binary64))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (neg.f64 x) (-.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))))
#s(approx (* (sqrt (/ 1 x)) y) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)))
#s(approx (sqrt (/ 1 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 x) (fma.f64 (.f64 (.f64 (.f64 y y) y) (pow.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
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#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
#s(approx (pow (* (sqrt x) y) 3) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (* (sqrt x) y) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (neg.f64 (*.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (.f64 (fma.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (sqrt x) y) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx y y)
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(literal 1 binary64))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 #s(literal 0 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (.f64 #s(literal 0 binary64) x) y)) (*.f64 #s(literal 0 binary64) x)) y) (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(literal 1 binary64))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (fma.f64 (-.f64 (*.f64 y x) (sqrt.f64 x)) y #s(literal 1 binary64)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(literal 1 binary64))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 x)) y))
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#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (.f64 y y) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (+.f64 (/.f64 x y) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y)) #s(literal 1 binary64)) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (neg.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (.f64 (*.f64 y y) y))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 y y))) x) (*.f64 y y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (sqrt.f64 x))) y))

eval17.0ms (1.1%)

Memory: -7.7MiB live, 38.9MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 668 to 882 computations (66.9% saved)

prune9.0ms (0.6%)

Memory

-25.3MiB live, 21.9MiB allocated; 1ms collecting garbage

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	170	9	179

Accuracy

100.0%

Counts

179 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	72.1%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	68.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	36.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(approx (- 1 ( (* (sqrt x) y) 1)) #s(literal 1 binary64)))))
✓	58.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	42.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
✓	36.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
✓	36.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	28.1%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) #s(literal 1 binary64)))
✓	31.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 255 to 188 computations (26.3% saved)

regimes14.0ms (0.9%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
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 9 to 11 computations (-22.2% saved)

regimes53.0ms (3.3%)

Memory

-8.4MiB live, 36.7MiB allocated; 51ms collecting garbage

Counts

7 → 2

Calls

Call 1

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

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

Calls

3 calls:

48.0ms	y
3.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.2%	2	`x`
96.7%	3	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes14.0ms (0.9%)

Memory

-19.4MiB live, 27.0MiB allocated; 13ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

9.0ms	y
2.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
94.3%	3	`y`
82.0%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
80.0%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
93.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.3%)

Memory

25.9MiB live, 25.9MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
58.0%	1	`x`
58.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
58.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes13.0ms (0.8%)

Memory

-25.4MiB live, 15.7MiB allocated; 11ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
57.3%	2	`x`
35.2%	3	`y`
57.9%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
28.1%	1	`y`
28.1%	1	`x`
28.1%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch11.0ms (0.7%)

Memory

21.3MiB live, 21.3MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	2.2277162059639326e-5	166.5900994608256

Samples

5.0ms	141×	0	valid
0.0ms	2×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 182 to 201 computations (-10.4% saved)

Precisions

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

ival-sqrt: 1.0ms (39.7% of total)

ival-mult!: 1.0ms (39.7% of total)

adjust: 0.0ms (0% of total)

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

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

bsearch42.0ms (2.7%)

Memory

11.1MiB live, 46.3MiB allocated; 22ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.9423324186918906e+86	1.4289263164313716e+91
32.0ms	-5695023841.285272	-1.144480088992608e-8

Samples

31.0ms

288×

valid

Compiler

Compiled 389 to 426 computations (-9.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-add!: 21.0ms (83.2% of total)

ival-sqrt: 2.0ms (7.9% of total)

ival-sub!: 1.0ms (4% of total)

ival-mult!: 1.0ms (4% of total)

adjust: 0.0ms (0% of total)

bsearch51.0ms (3.2%)

Memory

-4.9MiB live, 50.6MiB allocated; 39ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	3.9423324186918906e+86	1.4289263164313716e+91
44.0ms	-2.125930580898709e+71	-3.617509984542295e+68

Samples

7.0ms

208×

valid

Compiler

Compiled 331 to 364 computations (-10% saved)

Precisions

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

ival-sub!: 1.0ms (28.7% of total)

ival-sqrt: 1.0ms (28.7% of total)

ival-mult!: 1.0ms (28.7% of total)

adjust: 0.0ms (0% of total)

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

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6.179615416683437	0.9813748280787669

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations24.0ms (1.5%)

Memory

-28.0MiB live, 15.1MiB allocated; 17ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 68 to 47 computations (30.9% saved)

preprocess41.0ms (2.6%)

Memory: 25.3MiB live, 71.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 75 to 54 computations (28% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.5%)

sample698.0ms (43.6%)

preprocess101.0ms (6.3%)

series6.0ms (0.4%)

rewrite135.0ms (8.4%)

eval3.0ms (0.2%)

prune13.0ms (0.8%)

series43.0ms (2.7%)

rewrite60.0ms (3.8%)

eval8.0ms (0.5%)

prune7.0ms (0.4%)

series10.0ms (0.6%)

rewrite69.0ms (4.3%)

eval7.0ms (0.5%)

prune6.0ms (0.4%)

series28.0ms (1.7%)

rewrite95.0ms (5.9%)

eval17.0ms (1.1%)

prune9.0ms (0.6%)

regimes14.0ms (0.9%)

regimes53.0ms (3.3%)

regimes14.0ms (0.9%)

regimes2.0ms (0.1%)

regimes5.0ms (0.3%)

regimes13.0ms (0.8%)

regimes3.0ms (0.2%)

bsearch11.0ms (0.7%)

bsearch42.0ms (2.7%)

bsearch51.0ms (3.2%)

bsearch0.0ms (0%)

derivations24.0ms (1.5%)

preprocess41.0ms (2.6%)

end0.0ms (0%)

Profiling