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

start0.0ms (0%)

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

analyze22.0ms (1.4%)

Memory

-27.3MiB live, 15.3MiB allocated; 12ms 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)

sample805.0ms (52.9%)

Memory

34.8MiB live, 1 127.9MiB allocated; 169ms collecting garbage

Samples

486.0ms	8 254×	0	valid
10.0ms	248×	0	invalid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 157.0ms

ival-sqrt: 68.0ms (43.2% of total)

ival-mult!: 41.0ms (26.1% of total)

ival-sub!: 27.0ms (17.2% of total)

ival-add!: 21.0ms (13.4% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

explain147.0ms (9.6%)

Memory

-14.0MiB live, 131.6MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
-	-	`(sqrt.f64 x)`
-	-	`y`
-	-	`(-.f64 #s(literal 1 binary64) x)`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 y (sqrt.f64 x))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

41.0ms

512×

valid

Compiler

Compiled 52 to 25 computations (51.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-sqrt: 4.0ms (43.3% of total)

ival-mult!: 3.0ms (32.4% of total)

ival-sub!: 2.0ms (21.6% of total)

ival-add!: 1.0ms (10.8% of total)

adjust: 0.0ms (0% of total)

preprocess71.0ms (4.6%)

Memory

-19.7MiB live, 25.5MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.4%)

Memory

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

Counts

7 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite51.0ms (3.3%)

Memory

-4.1MiB live, 86.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

29 → 40

Calls

Call 1

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

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

eval3.0ms (0.2%)

Memory: 11.5MiB live, 11.5MiB allocated; 0ms collecting garbage
Compiler: Compiled 503 to 125 computations (75.1% saved)

prune3.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	28	6	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	6	35

Accuracy

99.9%

Counts

35 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(+.f64 #s(approx (- 1 x) (neg.f64 x)) (*.f64 y (sqrt.f64 x)))
▶	69.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	60.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	93.8%	#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))
	63.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	41.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 182 to 138 computations (24.2% saved)

series23.0ms (1.5%)

Memory

-21.3MiB live, 39.0MiB allocated; 11ms collecting garbage

Counts

20 → 59

Calls

Call 1

Inputs
#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))
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x)
(-.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
#s(literal 1 binary64)
(sqrt.f64 x)
x
y
(/.f64 #s(literal 1 binary64) x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) 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 (+ (- 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)) 1) x) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ 1 (+ (* -1 x) (* (sqrt x) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (/ (+ 1 (+ (* -1 x) (* (sqrt x) y))) x)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ (+ 1 (* (sqrt x) y)) x)))
#s(approx (/ 1 (sqrt x)) #s(hole binary64 (sqrt (/ 1 x))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx x #s(hole binary64 x))
#s(approx (/ 1 x) #s(hole binary64 (/ 1 x)))
#s(approx (- 1 x) #s(hole binary64 1))
#s(approx (- 1 x) #s(hole binary64 (+ 1 (* -1 x))))
#s(approx (* (sqrt x) y) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (+ 1 (* (sqrt x) y))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (* y (sqrt x)) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (* (sqrt (/ 1 x)) y) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* x (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (* (sqrt (/ 1 x)) y) 1)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (+ (* (sqrt (/ 1 x)) y) (/ 1 x))))
#s(approx (- 1 x) #s(hole binary64 (* -1 x)))
#s(approx (- 1 x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* x (+ (* (sqrt (/ 1 x)) y) (/ 1 x)))))
#s(approx (+ (- 1 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 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* -1 (* x (- (* -1 (- (* (sqrt (/ 1 x)) y) 1)) (/ 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 (* (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 (+ (- 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)) 1) x) #s(hole binary64 (* x (- (/ 1 x) 1))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (+ (* x (- (/ 1 x) 1)) (* (sqrt x) y))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (- (/ 1 x) 1)))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (/ 1 x)))
#s(approx y #s(hole binary64 y))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 1))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* (sqrt x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) #s(hole binary64 (* y (- (+ (sqrt x) (/ 1 y)) (/ x y)))))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* (sqrt x) y)))
#s(approx (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) #s(hole binary64 (* y (+ (sqrt x) (/ (* x (- (/ 1 x) 1)) y)))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* (sqrt (/ 1 x)) y)))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* y (- (+ (sqrt (/ 1 x)) (/ 1 (* x y))) (/ 1 y)))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* y (+ (sqrt (/ 1 x)) (/ 1 (* x y))))))
#s(approx (+ (* (sqrt x) y) 1) #s(hole binary64 (* y (+ (sqrt 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)) 1) x) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt x)) (* -1 (/ (* x (- (/ 1 x) 1)) y)))))))
#s(approx (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) #s(hole binary64 (* -1 (* y (+ (* -1 (sqrt (/ 1 x))) (* -1 (/ (- (/ 1 x) 1) y)))))))
#s(approx (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) #s(hole binary64 (* -1 (* y (- (* -1 (sqrt (/ 1 x))) (/ 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
11.0ms	y	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (sqrt x) x y (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 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)))
3.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (sqrt x) x y (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 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)))
3.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (sqrt x) x y (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 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	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (sqrt x) x y (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 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	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) (/ 1 (sqrt x)) 1 (sqrt x) x y (/ 1 x) (+ (- 1 x) (* y (sqrt x))) (- 1 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)))

rewrite45.0ms (2.9%)

Memory

27.5MiB live, 74.1MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1175
0	196	1109
0	787	1085

Stop Event

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

Counts

79 → 117

Calls

Call 1

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

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

eval15.0ms (1%)

Memory: -8.3MiB live, 37.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 2 622 to 434 computations (83.4% saved)

prune7.0ms (0.5%)

Memory

-29.1MiB live, 18.5MiB allocated; 2ms collecting garbage

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	106	8	114

Accuracy

99.9%

Counts

114 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	69.8%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	93.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
✓	41.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	35.5%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- (+ ( (/ 1 (sqrt x)) y) (/ 1 x)) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	30.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
▶	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) x)))

Compiler

Compiled 245 to 167 computations (31.8% saved)

series13.0ms (0.9%)

Memory

34.2MiB live, 34.2MiB allocated; 0ms collecting garbage

Counts

24 → 105

Calls

Call 1

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) x) (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) x) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)))
2.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) x) (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) x) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)))
2.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) x) (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) x) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)))
1.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) x) (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) x) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)))
1.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) x) (- (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) 1) (+ (* (sqrt (/ 1 x)) y) (/ 1 x)) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (- 1 x) (+ (* (sqrt x) y) (- 1 x)) (sqrt x) (- 1 x) (neg x) (+ (- 1 x) (* y (sqrt x))) (* (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) x) (- (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (* (+ (* (/ 1 (sqrt x)) y) (/ 1 x)) x) (+ (* (/ 1 (sqrt x)) y) (/ 1 x)))

rewrite57.0ms (3.7%)

Memory

-31.4MiB live, 113.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	239	2314
0	265	2202
0	921	2136

Stop Event

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

Counts

129 → 171

Calls

Call 1

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

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

eval15.0ms (1%)

Memory: -5.5MiB live, 41.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 3 464 to 517 computations (85.1% saved)

prune5.0ms (0.3%)

Memory

13.7MiB live, 13.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	0	0	0
Picked	1	4	5
Done	0	3	3
Total	126	8	134

Accuracy

100.0%

Counts

134 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.8%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	93.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
✓	41.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- (+ ( (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x))
✓	30.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) x)))

Compiler

Compiled 142 to 99 computations (30.3% saved)

series7.0ms (0.4%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Counts

9 → 35

Calls

Call 1

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

Calls

6 calls:

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

rewrite48.0ms (3.1%)

Memory

13.6MiB live, 63.5MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	801
0	126	692
0	605	668

Stop Event

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

Counts

44 → 50

Calls

Call 1

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

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

eval20.0ms (1.3%)

Memory: -35.0MiB live, 12.3MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 134 to 175 computations (84.6% saved)

prune5.0ms (0.3%)

Memory

10.6MiB live, 10.6MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	0	0	0
Picked	1	0	1
Done	0	7	7
Total	38	8	46

Accuracy

100.0%

Counts

46 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	69.8%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	69.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
✓	60.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	93.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
✓	41.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	35.6%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- (+ ( (/ 1 (sqrt x)) y) (/ 1 x)) 1) (/.f64 #s(approx y y) (sqrt.f64 x))) x))
✓	30.4%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))
✓	63.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (+ (* (sqrt x) y) 1) (*.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y (/.f64 #s(literal 1 binary64) x)) x)))

Compiler

Compiled 404 to 159 computations (60.6% saved)

regimes13.0ms (0.9%)

Memory

26.2MiB live, 26.2MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes23.0ms (1.5%)

Memory

-30.4MiB live, 17.0MiB allocated; 2ms collecting garbage

Counts

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

Calls

3 calls:

17.0ms	y
3.0ms	x
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Results

Accuracy	Segments	Branch
98.5%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
98.5%	2	`x`
98.0%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes6.0ms (0.4%)

Memory

12.5MiB live, 12.5MiB 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))) (-.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	y
2.0ms	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))
2.0ms	x

Results

Accuracy	Segments	Branch
98.0%	3	`y`
81.7%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
83.7%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Counts

3 → 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))) (-.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
95.3%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.3%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Counts

2 → 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))) (-.f64 #s(literal 1 binary64) x))

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.6%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
60.6%	1	`x`
60.6%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.3%)

Memory

-36.8MiB live, 10.5MiB allocated; 1ms 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:

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

Results

Accuracy	Segments	Branch
30.4%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
30.4%	1	`y`
30.4%	1	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch3.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
2.0ms	0.001280310647179646	0.0015124966772649812

Samples

1.0ms

32×

valid

Compiler

Compiled 59 to 54 computations (8.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

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

adjust: 0.0ms (0% of total)

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

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

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

bsearch30.0ms (2%)

Memory

30.5MiB live, 79.4MiB allocated; 4ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	1.0131518182881462e+66	3.5149650620440583e+80
11.0ms	-9.818816527157543e+51	-7.526056512303169e+40

Samples

17.0ms

320×

valid

Compiler

Compiled 531 to 472 computations (11.1% saved)

Precisions

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

ival-sqrt: 2.0ms (36.3% of total)

ival-sub!: 1.0ms (18.1% of total)

ival-add!: 1.0ms (18.1% of total)

ival-mult!: 1.0ms (18.1% of total)

adjust: 0.0ms (0% of total)

bsearch17.0ms (1.1%)

Memory

-4.4MiB live, 42.7MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.0131518182881462e+66	3.5149650620440583e+80
10.0ms	-6.098360528432398e+74	-3.3610139956728902e+72

Samples

9.0ms

192×

valid

Compiler

Compiled 436 to 386 computations (11.5% saved)

Precisions

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

ival-sqrt: 2.0ms (58.9% of total)

ival-sub!: 1.0ms (29.5% of total)

ival-mult!: 1.0ms (29.5% of total)

adjust: 0.0ms (0% of total)

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

derivations10.0ms (0.6%)

Memory

-30.2MiB live, 16.4MiB allocated; 3ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 156 to 37 computations (76.3% saved)

preprocess45.0ms (2.9%)

Memory: 27.6MiB live, 124.0MiB allocated; 10ms collecting garbage
Compiler: Compiled 328 to 88 computations (73.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze22.0ms (1.4%)

sample805.0ms (52.9%)

explain147.0ms (9.6%)

preprocess71.0ms (4.6%)

series6.0ms (0.4%)

rewrite51.0ms (3.3%)

eval3.0ms (0.2%)

prune3.0ms (0.2%)

series23.0ms (1.5%)

rewrite45.0ms (2.9%)

eval15.0ms (1%)

prune7.0ms (0.5%)

series13.0ms (0.9%)

rewrite57.0ms (3.7%)

eval15.0ms (1%)

prune5.0ms (0.3%)

series7.0ms (0.4%)

rewrite48.0ms (3.1%)

eval20.0ms (1.3%)

prune5.0ms (0.3%)

regimes13.0ms (0.9%)

regimes23.0ms (1.5%)

regimes6.0ms (0.4%)

regimes2.0ms (0.1%)

regimes4.0ms (0.3%)

regimes4.0ms (0.3%)

bsearch3.0ms (0.2%)

bsearch30.0ms (2%)

bsearch17.0ms (1.1%)

derivations10.0ms (0.6%)

preprocess45.0ms (2.9%)

end0.0ms (0%)

Profiling