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

start0.0ms (0%)

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

analyze8.0ms (0.2%)

Memory

13.8MiB live, 13.8MiB 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)

sample1.0s (28.5%)

Memory

-3.0MiB live, 844.1MiB allocated; 159ms collecting garbage

Samples

718.0ms	8 255×	0	valid
10.0ms	254×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 340.0ms

ival-sqrt: 242.0ms (71.1% of total)

ival-mult!: 40.0ms (11.8% of total)

ival-sub!: 38.0ms (11.2% of total)

ival-add!: 18.0ms (5.3% of total)

adjust: 2.0ms (0.6% of total)

Bogosity

preprocess193.0ms (5.4%)

Memory

-18.3MiB live, 104.0MiB allocated; 106ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	60	54
2	122	54
3	220	51
4	662	50
5	4272	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 (0.2%)

Memory

12.5MiB live, 12.5MiB 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	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	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))

rewrite72.0ms (2%)

Memory

-13.6MiB live, 133.5MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	80	333
0	84	307
0	205	293
0	1025	275

Stop Event

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

Counts

29 → 98

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

eval12.0ms (0.3%)

Memory: -25.0MiB live, 20.6MiB allocated; 6ms collecting garbage
Compiler: Compiled 642 to 270 computations (57.9% saved)

prune4.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Accuracy

100.0%

Counts

90 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	99.7%	(+.f64 (-.f64 #s(literal 1 binary64) x) (.f64 y (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))))
▶	67.2%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	69.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	64.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	62.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 140 to 138 computations (1.4% saved)

series8.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated; 0ms collecting garbage

Counts

15 → 44

Calls

Call 1

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

Calls

6 calls:

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

rewrite148.0ms (4.2%)

Memory

-14.3MiB live, 79.9MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	760
0	135	686
0	283	648
0	1235	640

Stop Event

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

Counts

59 → 188

Calls

Call 1

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

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

eval105.0ms (2.9%)

Memory: -18.9MiB live, 32.8MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 341 to 479 computations (64.3% saved)

prune7.0ms (0.2%)

Memory

16.9MiB live, 16.9MiB allocated; 0ms collecting garbage

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	186	9	195

Accuracy

100.0%

Counts

195 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	67.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.2%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
✓	69.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	64.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	62.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	37.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
✓	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	33.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	64.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) x #s(literal 1 binary64))))

Compiler

Compiled 166 to 160 computations (3.6% saved)

series236.0ms (6.6%)

Memory

23.5MiB live, 111.9MiB allocated; 13ms collecting garbage

Counts

22 → 67

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

Outputs
#s(approx (+ (* (sqrt x) y) (- 1 x)) #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) x) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#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 (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 (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#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) x) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (* (/ 1 (sqrt x)) y) x) 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 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 (+ (* (* (/ 1 (sqrt x)) y) x) 1) #s(hole binary64 (* -1 (* x (- (* -1 (* (sqrt (/ 1 x)) y)) (/ 1 x))))))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) y) #s(hole binary64 (* -1 (* (sqrt x) (* y (pow (sqrt -1) 2))))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#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) x) 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 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) x) 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 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) x) 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
113.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* (/ 1 (sqrt x)) y) x) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
95.0ms	x	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* (/ 1 (sqrt x)) y) x) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
21.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* (/ 1 (sqrt x)) y) x) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
2.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* (/ 1 (sqrt x)) y) x) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)
1.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (* (* (/ 1 (sqrt x)) y) x) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (* (pow x 1/4) (pow x 1/4)) y) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) 1/4)

rewrite321.0ms (9%)

Memory

-40.1MiB live, 106.4MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	185	1274
0	208	1160
0	454	1033
0	2040	986

Stop Event

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

Counts

89 → 229

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

eval122.0ms (3.4%)

Memory: 4.5MiB live, 50.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 059 to 892 computations (56.7% saved)

prune9.0ms (0.3%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	245	7	252
Fresh	0	0	0
Picked	2	3	5
Done	1	3	4
Total	248	13	261

Accuracy

100.0%

Counts

261 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	64.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	62.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
▶	37.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))
✓	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	58.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
▶	32.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
✓	33.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	66.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64))))
▶	67.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)))
▶	31.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 283 to 267 computations (5.7% saved)

series241.0ms (6.8%)

Memory

0.5MiB live, 100.5MiB allocated; 18ms collecting garbage

Counts

22 → 57

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
111.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (sqrt x) y) x) (* (sqrt x) y) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ y (sqrt x)) 1) x) (- (/ y (sqrt x)) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
94.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (sqrt x) y) x) (* (sqrt x) y) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ y (sqrt x)) 1) x) (- (/ y (sqrt x)) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
10.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (sqrt x) y) x) (* (sqrt x) y) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ y (sqrt x)) 1) x) (- (/ y (sqrt x)) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
9.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (sqrt x) y) x) (* (sqrt x) y) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ y (sqrt x)) 1) x) (- (/ y (sqrt x)) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (sqrt (sqrt x)))
8.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (sqrt x) y) x) (* (sqrt x) y) (sqrt x) x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ y (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (* (- (/ y (sqrt x)) 1) x) (- (/ y (sqrt x)) 1) 1 (+ (- 1 x) (* y (sqrt x))) (* (* y (sqrt (sqrt x))) (sqrt (sqrt x))) (* y (sqrt (sqrt x))) (sqrt (sqrt x)))

rewrite121.0ms (3.4%)

Memory

16.1MiB live, 63.6MiB allocated; 1ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	158	1123
0	180	1064
0	362	943
0	1570	922

Stop Event

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

Counts

79 → 171

Calls

Call 1

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

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

eval121.0ms (3.4%)

Memory: 2.2MiB live, 38.2MiB allocated; 11ms collecting garbage
Compiler: Compiled 1 508 to 721 computations (52.2% saved)

prune124.0ms (3.5%)

Memory

-5.4MiB live, 29.8MiB allocated; 20ms collecting garbage

Pruning

13 alts after pruning (2 fresh and 11 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	2	2
Picked	0	5	5
Done	0	6	6
Total	170	13	183

Accuracy

100.0%

Counts

183 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	67.2%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	64.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	62.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
✓	37.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) y))
✓	37.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (.f64 y (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x))))
✓	37.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	58.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (fma.f64 (sqrt.f64 x) (/.f64 y x) #s(literal -1 binary64))) x))
✓	32.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
✓	33.9%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
	66.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (*.f64 y x) #s(literal 1 binary64))))
✓	67.2%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (-.f64 (*.f64 (sqrt.f64 x) y) x)))
✓	31.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x)))

Compiler

Compiled 303 to 235 computations (22.4% saved)

regimes131.0ms (3.7%)

Memory

-1.7MiB live, 52.2MiB allocated; 35ms collecting garbage

Counts

19 → 1

Calls

Call 1

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

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

Calls

3 calls:

119.0ms	x
5.0ms	y
5.0ms	(+.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)

regimes124.0ms (3.5%)

Memory

-8.3MiB live, 35.5MiB allocated; 15ms collecting garbage

Counts

9 → 2

Calls

Call 1

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

Calls

3 calls:

118.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
3.0ms	x
3.0ms	y

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)

regimes7.0ms (0.2%)

Memory

23.9MiB live, 24.0MiB allocated; 0ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
95.4%	3	`y`
87.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
82.4%	2	`x`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes2.0ms (0.1%)

Memory

4.0MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #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
95.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

Results

Accuracy	Segments	Branch
64.0%	1	`x`
64.0%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
64.0%	1	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes111.0ms (3.1%)

Memory

-37.1MiB live, 8.0MiB allocated; 9ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

Calls

3 calls:

108.0ms	y
2.0ms	x
1.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
63.8%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
63.3%	2	`x`
39.6%	2	`y`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

regimes3.0ms (0.1%)

Memory

6.6MiB live, 6.6MiB 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 (- 1 x) #s(literal 1 binary64)))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
33.9%	1	`y`
33.9%	1	`x`
33.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 9 to 11 computations (-22.2% saved)

bsearch10.0ms (0.3%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.09154031068676623	338.5413001647437

Samples

5.0ms

128×

valid

Compiler

Compiled 235 to 244 computations (-3.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sqrt: 1.0ms (45.8% of total)

ival-mult!: 1.0ms (45.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch100.0ms (2.8%)

Memory

-9.5MiB live, 34.3MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
89.0ms	1.4874535545331638e+83	4.9220108418778286e+95
9.0ms	-6.190005216929465e+51	-3.2520675443347826e+48

Samples

88.0ms

288×

valid

Compiler

Compiled 389 to 426 computations (-9.5% saved)

Precisions

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

ival-sqrt: 2.0ms (40.2% of total)

ival-sub!: 1.0ms (20.1% of total)

ival-add!: 1.0ms (20.1% of total)

ival-mult!: 1.0ms (20.1% of total)

adjust: 0.0ms (0% of total)

bsearch21.0ms (0.6%)

Memory

29.8MiB live, 29.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.4874535545331638e+83	4.9220108418778286e+95
10.0ms	-1.841159131699287e+125	-1.523202434016021e+120

Samples

10.0ms

272×

valid

Compiler

Compiled 391 to 430 computations (-10% saved)

Precisions

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

ival-sqrt: 2.0ms (42.8% of total)

ival-sub!: 1.0ms (21.4% of total)

ival-add!: 1.0ms (21.4% of total)

ival-mult!: 1.0ms (21.4% of total)

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-10000684.611895675	0.9084596893132337

Compiler

Compiled 10 to 12 computations (-20% saved)

derivations132.0ms (3.7%)

Memory

-35.8MiB live, 66.4MiB allocated; 31ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 74 to 47 computations (36.5% saved)

preprocess44.0ms (1.2%)

Memory: 31.4MiB live, 122.9MiB allocated; 12ms collecting garbage
Compiler: Compiled 81 to 54 computations (33.3% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.2%)

sample1.0s (28.5%)

preprocess193.0ms (5.4%)

series6.0ms (0.2%)

rewrite72.0ms (2%)

eval12.0ms (0.3%)

prune4.0ms (0.1%)

series8.0ms (0.2%)

rewrite148.0ms (4.2%)

eval105.0ms (2.9%)

prune7.0ms (0.2%)

series236.0ms (6.6%)

rewrite321.0ms (9%)

eval122.0ms (3.4%)

prune9.0ms (0.3%)

series241.0ms (6.8%)

rewrite121.0ms (3.4%)

eval121.0ms (3.4%)

prune124.0ms (3.5%)

regimes131.0ms (3.7%)

regimes124.0ms (3.5%)

regimes7.0ms (0.2%)

regimes2.0ms (0.1%)

regimes5.0ms (0.1%)

regimes111.0ms (3.1%)

regimes3.0ms (0.1%)

bsearch10.0ms (0.3%)

bsearch100.0ms (2.8%)

bsearch21.0ms (0.6%)

bsearch0.0ms (0%)

derivations132.0ms (3.7%)

preprocess44.0ms (1.2%)

end0.0ms (0%)

Profiling