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

start0.0ms (0%)

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

analyze8.0ms (0.4%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 10 to 9 computations (10% saved)

sample632.0ms (26.6%)

Memory

-24.3MiB live, 1 206.1MiB allocated; 167ms collecting garbage

Samples

375.0ms	8 256×	0	valid
10.0ms	239×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-sqrt: 70.0ms (39.9% of total)

ival-mult!: 55.0ms (31.3% of total)

ival-sub!: 31.0ms (17.7% of total)

ival-add!: 18.0ms (10.3% of total)

adjust: 2.0ms (1.1% of total)

Bogosity

explain64.0ms (2.7%)

Memory

34.0MiB live, 133.7MiB allocated; 4ms 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

22.0ms

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 (42.9% of total)

ival-mult!: 3.0ms (32.2% of total)

ival-sub!: 2.0ms (21.5% of total)

ival-add!: 1.0ms (10.7% of total)

adjust: 0.0ms (0% of total)

preprocess73.0ms (3.1%)

Memory

-34.0MiB live, 56.5MiB 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
▶	99.8%	(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))

Compiler

Compiled 16 to 14 computations (12.5% saved)

series6.0ms (0.3%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Counts

7 → 22

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite84.0ms (3.5%)

Memory

8.4MiB live, 103.5MiB allocated; 39ms 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)))

eval4.0ms (0.1%)

Memory: 13.3MiB live, 13.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 511 to 125 computations (75.5% saved)

prune15.0ms (0.6%)

Memory

-31.5MiB live, 13.3MiB allocated; 14ms collecting garbage

Pruning

6 alts after pruning (6 fresh and 0 done)

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

Accuracy

99.9%

Counts

36 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (sqrt.f64 x) y (-.f64 #s(literal 1 binary64) x))
	51.6%	(/.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)))))
▶	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
▶	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y) #s(literal 1 binary64)) x))
▶	40.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))

Compiler

Compiled 206 to 132 computations (35.9% saved)

series26.0ms (1.1%)

Memory

6.0MiB live, 47.7MiB allocated; 14ms collecting garbage

Counts

16 → 55

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
14.0ms	y	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
3.0ms	x	@	-inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
3.0ms	y	@	inf	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
2.0ms	x	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))
1.0ms	y	@	0	((+ (* (sqrt x) y) (- 1 x)) (sqrt x) x y (- 1 x) 1 (+ (- 1 x) (* y (sqrt x))) (+ (- 1 x) (* y (sqrt x))) (* (sqrt x) y) (+ (- 1 x) (* y (sqrt x))) (+ (* (sqrt x) y) 1) (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (/ 1 (sqrt x)) y) (/ 1 (sqrt x)))

rewrite969.0ms (40.8%)

Memory

-20.2MiB live, 227.6MiB allocated; 1.3s collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	991
0	163	913
0	631	902

Stop Event

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

Counts

71 → 105

Calls

Call 1

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

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

eval10.0ms (0.4%)

Memory: -30.3MiB live, 17.0MiB allocated; 2ms collecting garbage
Compiler: Compiled 1 941 to 344 computations (82.3% saved)

prune6.0ms (0.2%)

Memory

11.4MiB live, 11.4MiB allocated; 0ms collecting garbage

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	1	0	1
Picked	2	3	5
Done	0	0	0
Total	94	10	104

Accuracy

99.9%

Counts

104 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	71.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	41.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))))
✓	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (/.f64 (.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) #s(literal 1 binary64)) x))
▶	65.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y) #s(literal 1 binary64)) x))
✓	40.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
▶	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 315 to 213 computations (32.4% saved)

series10.0ms (0.4%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

21 → 65

Calls

Call 1

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

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

Calls

6 calls:

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

rewrite78.0ms (3.3%)

Memory

-11.6MiB live, 44.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	1252
0	174	1186
0	605	1144

Stop Event

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

Counts

86 → 112

Calls

Call 1

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

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

eval7.0ms (0.3%)

Memory: 13.4MiB live, 13.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 797 to 300 computations (83.3% saved)

prune10.0ms (0.4%)

Memory

-38.4MiB live, 9.9MiB allocated; 7ms collecting garbage

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	1	1	2
Picked	1	4	5
Done	0	3	3
Total	81	10	91

Accuracy

99.9%

Counts

91 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
▶	41.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))))))
✓	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	40.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
▶	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 (*.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) x))
✓	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
▶	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 191 to 128 computations (33% saved)

series27.0ms (1.1%)

Memory

37.9MiB live, 37.9MiB allocated; 0ms collecting garbage

Counts

24 → 93

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
5.0ms	y	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	x	@	inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	x	@	0	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))
3.0ms	y	@	-inf	((+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (* (sqrt (/ 1 x)) y) (sqrt (/ 1 x)) (/ 1 x) 1 x y (+ (- 1 x) (* y (sqrt x))) (* (- (* (/ 1 (sqrt x)) y) 1) x) (- (* (/ 1 (sqrt x)) y) 1) (/ (* 1 y) (sqrt x)) (* 1 y) (sqrt x) (+ (- 1 x) (* y (sqrt x))) (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (+ (pow (* (sqrt x) y) 3) 1) (pow (* (sqrt x) y) 3) (* (sqrt x) y) 3 (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (- 1 (* (* (sqrt x) y) 1)) (* (* (sqrt x) y) 1))

rewrite98.0ms (4.1%)

Memory

-38.9MiB live, 98.6MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	419	3486
0	447	2834
0	2337	2785

Stop Event

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

Counts

117 → 175

Calls

Call 1

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

Outputs
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)
(.f64 x #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (sqrt.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
y
#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
(.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x)
(.f64 x #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)
(*.f64 y (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
(*.f64 #s(literal 1 binary64) (/.f64 y (sqrt.f64 x)))
(/.f64 (neg.f64 y) (neg.f64 (sqrt.f64 x)))
(/.f64 y (sqrt.f64 x))
y
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))) (neg.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y))) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) #s(literal 1 binary64))
(fma.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (.f64 y y) y) #s(literal 1 binary64))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y)))
(.f64 (pow.f64 (.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (sqrt.f64 x) #s(literal 3 binary64)) (.f64 (*.f64 y y) y))
(.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (*.f64 (sqrt.f64 x) y))
(.f64 (.f64 (sqrt.f64 x) y) (.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y)))
(pow.f64 (*.f64 (sqrt.f64 x) y) #s(literal 3 binary64))
(exp.f64 (.f64 (log.f64 (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
#s(literal 3 binary64)
(/.f64 (-.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))))
(fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (sqrt.f64 x)) y (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 y y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (fabs.f64 (.f64 (sqrt.f64 x) y)) (fabs.f64 (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) (neg.f64 (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(fma.f64 (sqrt.f64 x) (.f64 y (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
(-.f64 (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) y))
(+.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)))
(+.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (sqrt.f64 x) y) (*.f64 (sqrt.f64 x) y))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y))) (+.f64 #s(literal 1 binary64) (fma.f64 (.f64 (sqrt.f64 x) (sqrt.f64 x)) (.f64 y y) (.f64 (sqrt.f64 x) y))))
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (sqrt.f64 x) y))))))
(fma.f64 (*.f64 #s(literal -1 binary64) y) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) y #s(literal 1 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(fma.f64 (*.f64 (sqrt.f64 x) y) #s(literal -1 binary64) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))
(+.f64 (neg.f64 (*.f64 (sqrt.f64 x) y)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (.f64 (neg.f64 (.f64 (sqrt.f64 x) y)) #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (sqrt.f64 x) y)))
(.f64 (.f64 (sqrt.f64 x) y) #s(literal 1 binary64))
(*.f64 (sqrt.f64 x) y)
(*.f64 y (sqrt.f64 x))
(.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (+.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) #s(literal 1 binary64)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (sqrt.f64 x) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (fma.f64 (sqrt.f64 x) y (neg.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (/.f64 (fma.f64 (sqrt.f64 x) y (neg.f64 x)) x))
#s(approx (/ (* 1 y) (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (sqrt (/ 1 x)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))
#s(approx (/ 1 x) (/.f64 #s(literal 1 binary64) x))
#s(approx x x)
#s(approx (/ (* 1 y) (sqrt x)) (/.f64 y (sqrt.f64 x)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x) (neg.f64 (/.f64 (.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (fma.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 (.f64 y y) (.f64 y y))) (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))) (.f64 (.f64 y y) (/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))))) x (-.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y))) (sqrt.f64 x)) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))) x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 x) y)))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) #s(literal 1 binary64))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (fma.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (.f64 y y) y) #s(literal 1 binary64)))
#s(approx (pow (* (sqrt x) y) 3) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 (fma.f64 (.f64 y y) x #s(literal 1 binary64)) (.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (* (sqrt x) y) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (-.f64 (+.f64 (/.f64 y (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)) x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (-.f64 (/.f64 y (sqrt.f64 x)) #s(literal 1 binary64)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (sqrt.f64 x)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x)))))) x))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (-.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (neg.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))))))) x))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (-.f64 (+.f64 (neg.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (pow.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) #s(literal 4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -7 binary64))))) (fma.f64 (/.f64 (.f64 (.f64 y y) y) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))))) (+.f64 (fma.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (.f64 (.f64 x x) x)))) (neg.f64 (.f64 (/.f64 (.f64 (.f64 y y) y) (.f64 (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x)))) (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))))) (sqrt.f64 (pow.f64 x #s(literal -5 binary64))))))) x))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (.f64 (*.f64 y y) y)))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (fma.f64 (.f64 (.f64 y y) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (*.f64 x x)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (-.f64 (.f64 y y) (/.f64 y (sqrt.f64 x))) x))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (*.f64 (-.f64 (fma.f64 y y (/.f64 #s(literal 1 binary64) x)) (/.f64 y (sqrt.f64 x))) x))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (neg.f64 (*.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 y (sqrt.f64 x))) x))
#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 y) (sqrt x)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))
#s(approx (sqrt (/ 1 x)) (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))
#s(approx (sqrt x) (neg.f64 (neg.f64 (sqrt.f64 x))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (*.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))))) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))) x)))))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (neg.f64 x) (fma.f64 (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (pow.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))) x)) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))) (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (.f64 (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))))))) x)) (/.f64 (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64))) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))) x)))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (fma.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) (.f64 x x))) (.f64 x x)))
#s(approx (pow (* (sqrt x) y) 3) (.f64 (.f64 (.f64 (.f64 y y) y) #s(literal 1 binary64)) (sqrt.f64 (.f64 (.f64 x x) x))))
#s(approx (* (sqrt x) y) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (neg.f64 x) (-.f64 (.f64 (.f64 y y) #s(literal -1 binary64)) (.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64)))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (neg.f64 x) (-.f64 (.f64 (*.f64 y y) #s(literal -1 binary64)) (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)))))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (neg.f64 (*.f64 (sqrt.f64 x) y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (fma.f64 (/.f64 y (sqrt.f64 x)) #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) x))
#s(approx (* (sqrt x) y) (neg.f64 (neg.f64 (*.f64 (sqrt.f64 x) y))))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)) x))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 x))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) #s(literal -1 binary64))
#s(approx (* 1 y) y)
#s(approx (* 1 y) y)
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) #s(literal 1 binary64))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (neg.f64 (.f64 (.f64 #s(literal 0 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (fma.f64 (-.f64 (.f64 (-.f64 (.f64 (neg.f64 (sqrt.f64 x)) (.f64 (.f64 #s(literal 0 binary64) x) y)) (*.f64 #s(literal 0 binary64) x)) y) (neg.f64 (sqrt.f64 x))) y #s(literal 1 binary64)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) #s(literal 1 binary64))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (fma.f64 (-.f64 (*.f64 y x) (sqrt.f64 x)) y #s(literal 1 binary64)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) #s(literal 1 binary64))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (+.f64 (sqrt.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (*.f64 (+.f64 (/.f64 (neg.f64 x) y) (sqrt.f64 x)) y))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (*.f64 (sqrt.f64 x) y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (+.f64 (+.f64 (neg.f64 (/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) y))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (.f64 (-.f64 (+.f64 (fma.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (.f64 (.f64 y y) y)) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 x)) (.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))))) y))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y)) (sqrt.f64 (.f64 (.f64 x x) x))) (.f64 (*.f64 y y) y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (.f64 y y) x))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y) x) (.f64 y y)))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (.f64 y y)) x) (.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x))) (.f64 y y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (sqrt.f64 x)) y))
#s(approx (+ (- 1 x) (* y (sqrt x))) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (* (- (* (/ 1 (sqrt x)) y) 1) x) (neg.f64 (*.f64 (+.f64 (/.f64 x y) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (- (* (/ 1 (sqrt x)) y) 1) (neg.f64 (*.f64 (+.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (*.f64 (-.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y)) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 0 binary64) (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) #s(literal 1 binary64)) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (/ (+ (pow (* (sqrt x) y) 3) 1) (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1)))) (neg.f64 (.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) (/.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x))) y)) (.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 x)))) y)) #s(literal 1 binary64)) y)) (neg.f64 (sqrt.f64 x))) y)))
#s(approx (+ (pow (* (sqrt x) y) 3) 1) (neg.f64 (.f64 (-.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 x x) x))) (/.f64 #s(literal 1 binary64) (.f64 (.f64 y y) y))) (.f64 (*.f64 y y) y))))
#s(approx (+ (* (* (sqrt x) y) (* (sqrt x) y)) (- 1 (* (* (sqrt x) y) 1))) (.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (/.f64 #s(literal 1 binary64) y) x) (/.f64 #s(literal 1 binary64) (.f64 y y))) (*.f64 y y)))
#s(approx (- 1 (* (* (sqrt x) y) 1)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 (sqrt.f64 x))) y))

eval22.0ms (0.9%)

Memory: 35.0MiB live, 35.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 7 919 to 897 computations (88.7% saved)

prune10.0ms (0.4%)

Memory

-30.4MiB live, 15.9MiB allocated; 3ms collecting garbage

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	176	2	178
Fresh	0	0	0
Picked	2	1	3
Done	0	7	7
Total	178	10	188

Accuracy

99.9%

Counts

188 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	71.4%	(fma.f64 (sqrt.f64 x) y #s(approx (- 1 x) (neg.f64 x)))
✓	67.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (fma.f64 (sqrt.f64 x) y #s(literal 1 binary64)))
	41.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) (/.f64 (fma.f64 (.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y)) (.f64 (sqrt.f64 x) y) #s(literal 1 binary64)) (fma.f64 (.f64 (sqrt.f64 x) y) (.f64 (sqrt.f64 x) y) (-.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 x) y)))))
✓	61.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (-.f64 #s(literal 1 binary64) x))
✓	40.3%	#s(approx (+ (- 1 x) (* y (sqrt x))) (*.f64 (sqrt.f64 x) y))
	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (/.f64 y (sqrt.f64 x))) x))
✓	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 x)) y)) x))
✓	34.7%	#s(approx (+ (- 1 x) (* y (sqrt x))) (.f64 #s(approx (- ( (/ 1 (sqrt x)) y) 1) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) y)) x))
✓	33.0%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) (neg.f64 x)))
✓	29.8%	#s(approx (+ (- 1 x) (* y (sqrt x))) #s(approx (- 1 x) #s(literal 1 binary64)))

Compiler

Compiled 559 to 200 computations (64.2% saved)

regimes16.0ms (0.7%)

Memory

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

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.8%	1	`x`
99.8%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes7.0ms (0.3%)

Memory

12.3MiB live, 12.3MiB allocated; 0ms collecting garbage

Counts

6 → 2

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
99.1%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
99.3%	2	`x`
97.3%	3	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes8.0ms (0.3%)

Memory

-35.1MiB live, 11.3MiB allocated; 2ms collecting garbage

Counts

5 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
96.9%	3	`y`
81.4%	3	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
84.8%	2	`x`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
95.6%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.2%)

Memory

9.3MiB live, 9.3MiB allocated; 0ms collecting garbage

Counts

3 → 1

Calls

Call 1

Inputs

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

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
61.3%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
61.3%	1	`x`
61.3%	1	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes4.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
60.7%	2	`x`
61.3%	2	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`
36.6%	2	`y`

Compiler

Compiled 10 to 11 computations (-10% saved)

regimes3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
29.8%	1	`y`
29.8%	1	`x`
29.8%	1	`(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (sqrt.f64 x)))`

Compiler

Compiled 10 to 11 computations (-10% saved)

bsearch9.0ms (0.4%)

Memory

10.8MiB live, 10.8MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.27725690602250586	24.503664164232188

Samples

4.0ms

112×

valid

Compiler

Compiled 179 to 159 computations (11.2% saved)

Precisions

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

ival-sqrt: 1.0ms (50.8% of total)

ival-mult!: 1.0ms (50.8% of total)

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

adjust: 0.0ms (0% of total)

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

bsearch21.0ms (0.9%)

Memory

-21.8MiB live, 24.4MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6298815150168416e+47	3.6697636089044484e+53
9.0ms	-1.6754319578865756e+30	-6.3780177028556225e+28

Samples

11.0ms

256×

valid

Compiler

Compiled 427 to 380 computations (11% saved)

Precisions

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

ival-sqrt: 2.0ms (43.6% of total)

ival-sub!: 1.0ms (21.8% of total)

ival-add!: 1.0ms (21.8% of total)

ival-mult!: 1.0ms (21.8% of total)

adjust: 0.0ms (0% of total)

bsearch22.0ms (0.9%)

Memory

26.0MiB live, 26.0MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.09267640987209e+67	5.603138582899456e+71
10.0ms	-4.2191211633598585e+63	-6.301371864677202e+56

Samples

10.0ms

272×

valid

Compiler

Compiled 436 to 386 computations (11.5% saved)

Precisions

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

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

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

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

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

adjust: 0.0ms (0% of total)

bsearch0.0ms (0%)

Memory

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

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-4168494496.3324075	0.7227430939774941

Compiler

Compiled 11 to 12 computations (-9.1% saved)

derivations63.0ms (2.7%)

Memory

-30.1MiB live, 11.4MiB allocated; 65ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 195 to 41 computations (79% saved)

preprocess56.0ms (2.3%)

Memory: 17.7MiB live, 115.2MiB allocated; 10ms collecting garbage
Compiler: Compiled 406 to 96 computations (76.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze8.0ms (0.4%)

sample632.0ms (26.6%)

explain64.0ms (2.7%)

preprocess73.0ms (3.1%)

series6.0ms (0.3%)

rewrite84.0ms (3.5%)

eval4.0ms (0.1%)

prune15.0ms (0.6%)

series26.0ms (1.1%)

rewrite969.0ms (40.8%)

eval10.0ms (0.4%)

prune6.0ms (0.2%)

series10.0ms (0.4%)

rewrite78.0ms (3.3%)

eval7.0ms (0.3%)

prune10.0ms (0.4%)

series27.0ms (1.1%)

rewrite98.0ms (4.1%)

eval22.0ms (0.9%)

prune10.0ms (0.4%)

regimes16.0ms (0.7%)

regimes7.0ms (0.3%)

regimes8.0ms (0.3%)

regimes2.0ms (0.1%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch9.0ms (0.4%)

bsearch21.0ms (0.9%)

bsearch22.0ms (0.9%)

bsearch0.0ms (0%)

derivations63.0ms (2.7%)

preprocess56.0ms (2.3%)

end0.0ms (0%)

Profiling